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<title>A Reference on Microsoft Word equation editor</title>
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<description><p>The equation is a vital part of many technical manuscripts, including thesis and research papers. However, typing it in Microsoft Word is an arduous task. To cope with it, Microsoft Word introduced the LaTeX type equation editor feature which is termed "Math AutoCorrect" and is available since Microsoft Word 2007.</p><p>This article aims to elaborate on the most usages of the Microsoft Word equation editor.</p></description>
[allow-turbo]<turbo:content><![CDATA[<h2>Enabling Math Autocorrect</h2><p>In most versions of Microsoft Word, Math AutoCorrect is enabled by default. To ensure you can visit, File Menu → Options → Proofing → Autocorrect Options → Math AutoCorrect and ensure "Replace text as you type" is checked. These shortcuts work only inside the Equation Editor. However, to use it outside Equation Editor, “Use Math Autocorrect Rules outside of math regions“ should be checked.</p><h2>Equation Editor Shortcut</h2><p>The shortcut to get the equation editor is “Alt + =”, hold down the Alt key while pressing "=". Moreover, clicking on “Equations” under the “Insert” Tab will result in the same.</p><p>Space is an important part of the Math AutoCorrect shortcut. It invokes the conversion event which translates the typed equation into Mathematical Symbols/Operators. In this article, space is shown as &lt;sp&gt; for clarity.</p><h2>Subscript &amp; Superscript</h2><p>The shortcut for subscript and superscript is _ and ^. Anything after _ or ^ will get converted into subscript or superscript respectively, after hitting space. To include space in subscript or superscript, group them in parenthesis or (). These grouping parentheses don’t appear after Math AutoCorrect. Grouping is also important as it distinguishes between a_i^2 and a_(i^2). To add pre-subscript or pre-superscript, use \zwsp along with _ and ^ sign.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">A_circle&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e1fe9ad59f0277e791ab3cff45d5985a_l3.svg" alt="A_{circle}" title="Rendered by QuickLaTeX.com" height="16" width="47" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-19db2644cdc31d7e9f0115deb1e187cd_l3.svg" alt="r^2" title="Rendered by QuickLaTeX.com" height="15" width="15" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">A_(big circle)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ff7cf36f96f5ae6ffa24a1f452af5a66_l3.svg" alt="A_{big \ circle}" height="18" width="70" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">H^(2 square)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1d0420f01ec9b05e4161be94179df33_l3.svg" alt="H^{2\; square}" title="Rendered by QuickLaTeX.com" height="15" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">r^2_outer&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-4bd3b8040cffec29170493549deffd28_l3.svg" alt="r^2_{outer}" height="19" width="40" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2_(outer circle)</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8367059af14b0b5bdace644ced476d23_l3.svg" alt="r^{2}_{outer\;circle}" title="Rendered by QuickLaTeX.com" height="20" width="78" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fa49c5eb22dc72da192a9cd524333f95_l3.svg" alt="_cR" height="15" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;^c&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d1c32a5a0f0395ffb7248904693d2a92_l3.svg" alt="^cR" height="12" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2944529ff728880658707e96a7f4ebb0_l3.svg" alt="_c^dR" height="19" width="22" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;_e^f&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3d420d047b10b5696022224e31cb2f08_l3.svg" alt="_c^dR_e^f" height="22" width="29" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr></tbody></table><h2>Greek letters</h2><p>Greek letters have 24 alphabets. There are four distinct ways of typing the Greek alphabet in Microsoft Word. Of these, Math AutoCorrect method is the easiest to remember and the fastest of all four. This method of typing Greek letters is as easy as typing its spelling after \ (backslash). To get the lower case Greek Alphabet, type the name of Greek letter after \ in lower case, e.g. \alpha for \alpha, and for the upper use case type the name of Greek letter after \ in Title case, e.g. \Gamma for \Gamma.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Alpha</td><td style="padding:0.5em;border:1px solid transparent;">A</td><td style="padding:0.5em;border:1px solid transparent;">\Alpha</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f44d9bbc8046069be4aa2989bff19aa_l3.svg" alt="\alpha" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\alpha</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Beta</td><td style="padding:0.5em;border:1px solid transparent;">B</td><td style="padding:0.5em;border:1px solid transparent;">\Beta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0f39b655b53423e80558c68b8c2ae1c3_l3.svg" alt="\beta" title="Rendered by QuickLaTeX.com" height="17" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\beta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8b96b68d5ed0c24da53fe469947485be_l3.svg" alt="\Gamma" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b9abe136d2f0d53300727f373cfed43_l3.svg" alt="\gamma" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\gamma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b7305a6cb6d013542b2aa8af4e001985_l3.svg" alt="\Delta" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2efdda5160c474b96fc6cbe01fa602a8_l3.svg" alt="\delta" title="Rendered by QuickLaTeX.com" height="13" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\delta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Epsilon</td><td style="padding:0.5em;border:1px solid transparent;">E</td><td style="padding:0.5em;border:1px solid transparent;">\Epsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1ea683a5e3ac49e12a81be8cd57fe90_l3.svg" alt="\epsilon" title="Rendered by QuickLaTeX.com" height="8" width="7" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\epsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Zeta</td><td style="padding:0.5em;border:1px solid transparent;">Z</td><td style="padding:0.5em;border:1px solid transparent;">\Zeta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-edb4eb32c88cd1decc4b05e9293e5cb8_l3.svg" alt="\zeta" title="Rendered by QuickLaTeX.com" height="16" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zeta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Eta</td><td style="padding:0.5em;border:1px solid transparent;">H</td><td style="padding:0.5em;border:1px solid transparent;">\Eta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3a1c05994216c4908007c94e1429761c_l3.svg" alt="\eta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\eta</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-309d1e9dc1d3a46c23ed1f6d2449b454_l3.svg" alt="\Theta" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b2034939b850e3311120fca462ab64e_l3.svg" alt="\theta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\theta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Iota</td><td style="padding:0.5em;border:1px solid transparent;">I</td><td style="padding:0.5em;border:1px solid transparent;">\Iota</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-6d58de4e0945610b2fe67a58470fb332_l3.svg" alt="\iota" title="Rendered by QuickLaTeX.com" height="8" width="6" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\iota</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Kappa</td><td style="padding:0.5em;border:1px solid transparent;">K</td><td style="padding:0.5em;border:1px solid transparent;">\Kappa</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7bfab7d13cf77095ae70c88ea1af4573_l3.svg" alt="\kappa" title="Rendered by QuickLaTeX.com" height="9" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\kappa</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-119e4aebdfd81fce23b44962f9453fb7_l3.svg" alt="\Lambda" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.svg" alt="\lambda" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\lambda</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Mu</td><td style="padding:0.5em;border:1px solid transparent;">M</td><td style="padding:0.5em;border:1px solid transparent;">\Mu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.svg" alt="\mu" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\mu</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Nu</td><td style="padding:0.5em;border:1px solid transparent;">N</td><td style="padding:0.5em;border:1px solid transparent;">\Nu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5376f6867c11bfe62d1de72e3207e7cd_l3.svg" alt="\nu" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\nu</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e2b843feb1342ba974a132df2353c69_l3.svg" alt="\Xi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bcc5fdc81ba669dd58972d7f51a329ed_l3.svg" alt="\xi" title="Rendered by QuickLaTeX.com" height="16" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\xi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-722d20af6ac515fbc6d48bc6bb3b04c0_l3.svg" alt="\Pi" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ed7678864de5d2f3ff6739ada3fd00e9_l3.svg" alt="\pi" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\pi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Rho</td><td style="padding:0.5em;border:1px solid transparent;">P</td><td style="padding:0.5em;border:1px solid transparent;">\Rho</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e8e197a6f1572ae9b5a16039ea626388_l3.svg" alt="\rho" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\rho</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-61c579204d57adaac69cd9e5e6496848_l3.svg" alt="\Sigma" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.svg" alt="\sigma" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sigma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Tau</td><td style="padding:0.5em;border:1px solid transparent;">T</td><td style="padding:0.5em;border:1px solid transparent;">\Tau</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2d0f4e922bf6aa03f0b4a3128b5a72d5_l3.svg" alt="\tau" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\tau</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1ac6611308d29423569381bbc50734c2_l3.svg" alt="\Upsilon" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2fdd1626ad989941e9b69a05e8a7dc72_l3.svg" alt="\upsilon" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\upsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-21f36758b04341c7980aa18b13ced720_l3.svg" alt="\Phi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8358131e7f71b02f5a1b767b67603090_l3.svg" alt="\phi" title="Rendered by QuickLaTeX.com" height="16" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\phi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Chi</td><td style="padding:0.5em;border:1px solid transparent;">X</td><td style="padding:0.5em;border:1px solid transparent;">\Chi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-9177a67bb040b302b5580488d7d3bbfd_l3.svg" alt="\chi" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\chi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.svg" alt="\Psi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f45c7ef1c89e682fa4644c04dbd0e63e_l3.svg" alt="\psi" title="Rendered by QuickLaTeX.com" height="16" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\psi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aec5209436746bf1698d314cb55e66a0_l3.svg" alt="\Omega" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.svg" alt="\omega" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\omega</td></tr></tbody></table><h2>Scientific and Mathematical Symbols</h2><p>Equation editor shortcut for scientific and mathematical symbols like infinity, different arrows, operators (like partial, del, and nabla), conditional symbols, dot, cross, maps to, perpendicular, set symbols, for all, equivalent, congruent, angle, proportional, etc are given in the following table.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Infinity</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∞</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\infty</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Hbar</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">ℏ</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\hbar</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Right Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">→</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\rightarrow, -&gt;</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Left Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">←</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Up Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">North-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↗</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\nearrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">North-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↖</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\nwarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">South-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↘</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\searrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">South-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↙</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\swarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Left Right arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↔</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\leftrightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Up Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↕</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\updownarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Rightwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇒</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Rightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Leftwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇐</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Upwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Downwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\Downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Nabla</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">∇</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\nabla</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Less Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">≤</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\le</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Greater Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">≥</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\ge</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Double Less Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">≪</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">\ll</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Double Greater Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">≫</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\gg</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 × 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \times b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Tensor Product or O Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑓(𝑡) ⊗ 𝑔(𝑡)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">f(t)\otimes g(t)</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋅ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\cdot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊙ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\odot b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">O Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑥 ⊕ y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">x\oplus y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑥 ⊖ 𝑦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\ominus y</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Maps To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ↦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\mapsto b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Right Arrow with Hook</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">↪</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\hookrightarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 … 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\dots b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Center dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⋯ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\cdots b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Perpendicular</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⊥ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \bot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;"><br></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊤ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a \top b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Intersection</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⋂𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigcap B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Union</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⋃𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \bigcup B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Big Square Cup</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⨆𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigsqcup B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Big U with Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⨄𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \biguplus B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Star</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋆ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \star b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">For All</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">∀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\forall</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">In</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∈</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\in</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Exists</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∃</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\exists</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Big Wedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bigwedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Big Ve</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">⋁</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\bigvee</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≡</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Congruent</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\cong</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Not Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\ne</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Approximately Equal</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\approx</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Similar</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∼</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\sim</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Similar To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≃</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\simeq</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Natural Joint of Bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Box</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">□</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\box</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⊂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Empty Set</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\emptyset</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∴</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Because</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\because</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Plus or minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">±</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\pm or +-</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Minus or plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\mp</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Proportional To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∝</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\proto</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.0321%;">Degree C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.4055%;">22 °C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:66.6201%;">22 \degc</td></tr></tbody></table><h2>Accent</h2><p>The accent-like bars are used for various reasons, e.g. dot for denoting derivative. We can easily achieve these using the following word shortcuts.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 1.5em 0px;width:51%;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.svg" alt="\overline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\bar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-743f7b1cb1194e56eb74bfe40d0aa9e5_l3.svg" alt="\overline{\overline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\Bar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3ee2e6e6844b4a100e49e14089f92034_l3.svg" alt="\underline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ubar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b39e86c8da116e601b729b86b4d90a7_l3.svg" alt="\underline{\underline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\uBar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Acute</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-98891bb048840e4fc185c622fac2ee75_l3.svg" alt="\acute{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\acute&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Grave</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-406febd0f82bcd1e0da93cffcc072fcc_l3.svg" alt="\grave{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\grave&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Vector</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aee90824c3f4c140da7b40a5cc281ca6_l3.svg" alt="\vec{x}" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\vec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Hat</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e5513e3ac9959bd826718264e246ddf_l3.svg" alt="\hat{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\hat&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left-right arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-72b4ddd1d30af721b256f825be327832_l3.svg" alt="\overleftrightarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="21" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-17165ef481acdd699f002eb63285af66_l3.svg" alt="\overset{\leftharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lhvec&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Right harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e7e31740376d7eca04be4734642bfa37_l3.svg" alt="\overset{\rightharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\rhvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d9301ea14d65419aa6cd1cd69c035b1_l3.svg" alt="\dot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-39fcaefdf9d9f0a5e8892288beb59275_l3.svg" alt="\ddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Triple dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-926ad3bb610f6325bfd3f5aa55c2d0a9_l3.svg" alt="\dddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dddot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Four dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7cff94589d45fba2823218a8ec0a3803_l3.svg" alt="\overset{....}{x}" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Breve</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-38230ed45c7e2ffe9643ecdd75eebc5a_l3.svg" alt="\breve{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\breve&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Check</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e2d0a759ff6c473eaeed2729b301978_l3.svg" alt="\check{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\check&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Tilde</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-79a72178ca9d410fe5feec93feba8d33_l3.svg" alt="\tilde{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tilde&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f98b666787d84f2a5d514b111465ea1_l3.svg" alt="\overleftarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="17" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lvec&lt;sp&gt;</td></tr></tbody></table><h2>Grouping and brackets</h2><p>The equation editor causes brackets such as [], {}, and () to grow and fit the size of expression within them. However, the parenthesis used for grouping is not displayed in the final formatted expression. Albeit, the parenthesis which is required to be displayed, must be doubled. One for grouping which will vanish in the final formatted expression, and the other for display. Escape sequence (\ followed by the desired bracket is used to prevent the bracket from being reformatted.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-781948d77a4e0bca381b0e17be038c07_l3.svg" alt="\frac{a}{y}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">x/y</td><td style="padding:0.5em;border:1px solid transparent;">/ is used for fraction</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1d322bc4ca3e458bcdecd2b103f35c2d_l3.svg" alt="\left[\frac{x}{y} \right ]" title="Rendered by QuickLaTeX.com" height="32" width="22" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[x/y]</td><td style="padding:0.5em;border:1px solid transparent;">[] bracket automatically expands to adjust the fraction</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5a065be30298b900c3053e5b61d3ef20_l3.svg" alt="\left{\frac{x}{y} \right}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">{x/y}</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-268251de04d54c84fb61fe5c0edc0389_l3.svg" alt="\left(\frac{x}{y} \right )" title="Rendered by QuickLaTeX.com" height="32" width="27" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">(x/y)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses are displayed as they are not used for grouping</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-92ec4d24346ffa45ad3037778a28a646_l3.svg" alt="\frac{a}{p+q}" title="Rendered by QuickLaTeX.com" height="22" width="26" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/(p+q)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) are not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d0c9fd68c8a85b287df9b8ba77a038a2_l3.svg" alt="\frac{a}{\left(p+q \right )}" title="Rendered by QuickLaTeX.com" height="23" width="35" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/((p+q))</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) is not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-c9feaf255ee0380933b837f7520af776_l3.svg" alt="[_a^b y" title="Rendered by QuickLaTeX.com" height="20" width="20" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[ a\atop b \close y</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b8ef3aba6d975da2915382d159f87466_l3.svg" alt="\left|\frac{p|q|r}{c+d}\right|" title="Rendered by QuickLaTeX.com" height="33" width="40" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|(p|q|r)/(c+d)|</td><td style="padding:0.5em;border:1px solid transparent;">Again parentheses used for grouping are not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d90d918958fa6dc88f2a174400eec535_l3.svg" alt="|a|b\left|\frac{x}{a+b}\right|" title="Rendered by QuickLaTeX.com" height="33" width="65" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|a|b|x/(a+b)</td><td style="padding:0.5em;border:1px solid transparent;">Grouping parentheses not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b69a11b4379a5a7eb6464cd1572d870_l3.svg" alt="||a||" title="Rendered by QuickLaTeX.com" height="19" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\norm a \norm</td></tr></tbody></table><h2>Roots</h2><p>Equation editor shortcut for square root, cube root and higher roots are \sqrt(), \cbrt() and \sqrt(n&amp;x) respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2a73badef00b3aa80c19d28a15031f0d_l3.svg" alt="\sqrt{x}" title="Rendered by QuickLaTeX.com" height="18" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(x)&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a00f22f2e01abf18bbcfc30b206b8fb8_l3.svg" alt="\sqrt[3]{x+1}" title="Rendered by QuickLaTeX.com" height="18" width="55" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\cbrt(x+1)&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-66ca71b118bffeb4855f0d9f21caf4b1_l3.svg" alt="\sqrt[n]{x + 1}" title="Rendered by QuickLaTeX.com" height="18" width="54" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(n&amp;x)&lt;sp&gt;</td></tr></tbody></table><h2>Matrices</h2><p>The basic equation editor shortcut for creating an empty matrix of custom size is \matrix(@@&amp;&amp;&amp;)&lt;sp&gt;. Matrix size decided by number of @ (for rows) and &amp; (for columns). The count of rows and columns is one less than the count of @ and &amp; typed in the equation.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\matrix(@@&amp;)</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(@@&amp;) or (\matrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Vmatrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">[\matrix(1&amp;2&amp;3@4&amp;5&amp;6@7&amp;8&amp;9)]</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(1&amp;2@3&amp;4@5&amp;6)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr></tbody></table><h2>Piece wise function</h2><p>There are two ways to insert a piece-wise function by using the Equation Editor shortcut. First one uses \cases() method while the second one uses \matrix(). In both cases, desired piecewise functions are entered inside the parenthesis.</p><p>Like the matrices, @ is used as a row separator. To get only the opening curly braces ‘{‘ which automatically extends the height of the piecewise function, use \close in place of closing ‘}’.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\cases(x,x&gt;=0@-x,x&lt;0)\close</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">@ is used as row separator and \close is required to ensure opening { expands vertically to cover all cases</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)\close</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">Similar to above, &amp; is used as column separator</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><figure style="display:block;margin:0px auto 1.5em;clear:both;max-width:100%;width:300px;"><figcaption style="display:block;text-align:center;margin:0.8075em 0px;">Piecewise function without \close</figcaption></figure></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">Without \close, opening '{' doesn't expands</td></tr></tbody></table><h2>Integral, Sum and Product</h2><p>Shortcuts for an integral sign, sum, and product signs are \int, \sum, and \prod. You can use _ and ^ for inserting text below and above signs, respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a57a3ed33bdf250a6529aa3f33a24187_l3.svg" alt="\int{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int_x=0^1&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d40501e18e220cc1e8b6063a2d485b7_l3.svg" alt="\int_{x=0}^{1}f(x)dx" title="Rendered by QuickLaTeX.com" height="24" width="91" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">_ for lower limit and ^ for upper limit</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7826efa0e66108ab760448d40b2b405d_l3.svg" alt="\iint{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="77" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\iint for double integral</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint\below(S)&lt;sp&gt;ds</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-94b3b069310efbfc9abf27c1a4e8ce9c_l3.svg" alt="\iint\limits_Sds" title="Rendered by QuickLaTeX.com" height="31" width="41" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \below to put text below symbol</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iiint\above(V)&lt;sp&gt;&lt;sp&gt;dV</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bd2b0ce6c7b4aa0d1dedf3b08eea704a_l3.svg" alt="\overset{V}{\iiint}dV" title="Rendered by QuickLaTeX.com" height="33" width="53" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \above to put text above symbol</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\oint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e9bedf15543cf62392c097f3e3ff194_l3.svg" alt="\oint f(x)dx" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\oint for cyclic integral, similarly use \oiint for cyclic double Sum, integral</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d6766cbca7f85a3fee22b07654b2297e_l3.svg" alt="\sum_{i=1}^n A_i" title="Rendered by QuickLaTeX.com" height="19" width="63" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;\sum for sum symbol and _ &amp; ^ sign for getting text below and above sum. Parenthesis can be used for grouping text with spaces</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\prod_(n=0)^N&lt;sp&gt;x^n&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-43cba1b63505e8d4d788abfbad93b7d5_l3.svg" alt="\prod_{n=0}^N x^n" title="Rendered by QuickLaTeX.com" height="22" width="64" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">Similar to sum.</td></tr></tbody></table>]]></turbo:content>[/allow-turbo]
<category>General</category>
<dc:creator>FariD</dc:creator>
<pubDate>Tue, 28 Jun 2022 22:52:29 +0430</pubDate>
</item>[/shortrss]
[fullrss]<item turbo="{allow-turbo}">
<title>A Reference on Microsoft Word equation editor</title>
<guid isPermaLink="true">https://farid.partonia.ir/index.php?newsid=18</guid>
<link>https://farid.partonia.ir/index.php?newsid=18</link>
<category><![CDATA[General]]></category>
<dc:creator>FariD</dc:creator>
<pubDate>Tue, 28 Jun 2022 22:52:29 +0430</pubDate>
<description><![CDATA[<p>The equation is a vital part of many technical manuscripts, including thesis and research papers. However, typing it in Microsoft Word is an arduous task. To cope with it, Microsoft Word introduced the LaTeX type equation editor feature which is termed "Math AutoCorrect" and is available since Microsoft Word 2007.</p><p>This article aims to elaborate on the most usages of the Microsoft Word equation editor.</p>]]></description>
[allow-turbo]<turbo:content><![CDATA[<h2>Enabling Math Autocorrect</h2><p>In most versions of Microsoft Word, Math AutoCorrect is enabled by default. To ensure you can visit, File Menu → Options → Proofing → Autocorrect Options → Math AutoCorrect and ensure "Replace text as you type" is checked. These shortcuts work only inside the Equation Editor. However, to use it outside Equation Editor, “Use Math Autocorrect Rules outside of math regions“ should be checked.</p><h2>Equation Editor Shortcut</h2><p>The shortcut to get the equation editor is “Alt + =”, hold down the Alt key while pressing "=". Moreover, clicking on “Equations” under the “Insert” Tab will result in the same.</p><p>Space is an important part of the Math AutoCorrect shortcut. It invokes the conversion event which translates the typed equation into Mathematical Symbols/Operators. In this article, space is shown as &lt;sp&gt; for clarity.</p><h2>Subscript &amp; Superscript</h2><p>The shortcut for subscript and superscript is _ and ^. Anything after _ or ^ will get converted into subscript or superscript respectively, after hitting space. To include space in subscript or superscript, group them in parenthesis or (). These grouping parentheses don’t appear after Math AutoCorrect. Grouping is also important as it distinguishes between a_i^2 and a_(i^2). To add pre-subscript or pre-superscript, use \zwsp along with _ and ^ sign.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">A_circle&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e1fe9ad59f0277e791ab3cff45d5985a_l3.svg" alt="A_{circle}" title="Rendered by QuickLaTeX.com" height="16" width="47" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-19db2644cdc31d7e9f0115deb1e187cd_l3.svg" alt="r^2" title="Rendered by QuickLaTeX.com" height="15" width="15" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">A_(big circle)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ff7cf36f96f5ae6ffa24a1f452af5a66_l3.svg" alt="A_{big \ circle}" height="18" width="70" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">H^(2 square)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1d0420f01ec9b05e4161be94179df33_l3.svg" alt="H^{2\; square}" title="Rendered by QuickLaTeX.com" height="15" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">r^2_outer&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-4bd3b8040cffec29170493549deffd28_l3.svg" alt="r^2_{outer}" height="19" width="40" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2_(outer circle)</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8367059af14b0b5bdace644ced476d23_l3.svg" alt="r^{2}_{outer\;circle}" title="Rendered by QuickLaTeX.com" height="20" width="78" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fa49c5eb22dc72da192a9cd524333f95_l3.svg" alt="_cR" height="15" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;^c&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d1c32a5a0f0395ffb7248904693d2a92_l3.svg" alt="^cR" height="12" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2944529ff728880658707e96a7f4ebb0_l3.svg" alt="_c^dR" height="19" width="22" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;_e^f&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3d420d047b10b5696022224e31cb2f08_l3.svg" alt="_c^dR_e^f" height="22" width="29" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr></tbody></table><h2>Greek letters</h2><p>Greek letters have 24 alphabets. There are four distinct ways of typing the Greek alphabet in Microsoft Word. Of these, Math AutoCorrect method is the easiest to remember and the fastest of all four. This method of typing Greek letters is as easy as typing its spelling after \ (backslash). To get the lower case Greek Alphabet, type the name of Greek letter after \ in lower case, e.g. \alpha for \alpha, and for the upper use case type the name of Greek letter after \ in Title case, e.g. \Gamma for \Gamma.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Alpha</td><td style="padding:0.5em;border:1px solid transparent;">A</td><td style="padding:0.5em;border:1px solid transparent;">\Alpha</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f44d9bbc8046069be4aa2989bff19aa_l3.svg" alt="\alpha" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\alpha</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Beta</td><td style="padding:0.5em;border:1px solid transparent;">B</td><td style="padding:0.5em;border:1px solid transparent;">\Beta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0f39b655b53423e80558c68b8c2ae1c3_l3.svg" alt="\beta" title="Rendered by QuickLaTeX.com" height="17" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\beta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8b96b68d5ed0c24da53fe469947485be_l3.svg" alt="\Gamma" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b9abe136d2f0d53300727f373cfed43_l3.svg" alt="\gamma" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\gamma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b7305a6cb6d013542b2aa8af4e001985_l3.svg" alt="\Delta" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2efdda5160c474b96fc6cbe01fa602a8_l3.svg" alt="\delta" title="Rendered by QuickLaTeX.com" height="13" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\delta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Epsilon</td><td style="padding:0.5em;border:1px solid transparent;">E</td><td style="padding:0.5em;border:1px solid transparent;">\Epsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1ea683a5e3ac49e12a81be8cd57fe90_l3.svg" alt="\epsilon" title="Rendered by QuickLaTeX.com" height="8" width="7" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\epsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Zeta</td><td style="padding:0.5em;border:1px solid transparent;">Z</td><td style="padding:0.5em;border:1px solid transparent;">\Zeta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-edb4eb32c88cd1decc4b05e9293e5cb8_l3.svg" alt="\zeta" title="Rendered by QuickLaTeX.com" height="16" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zeta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Eta</td><td style="padding:0.5em;border:1px solid transparent;">H</td><td style="padding:0.5em;border:1px solid transparent;">\Eta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3a1c05994216c4908007c94e1429761c_l3.svg" alt="\eta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\eta</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-309d1e9dc1d3a46c23ed1f6d2449b454_l3.svg" alt="\Theta" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b2034939b850e3311120fca462ab64e_l3.svg" alt="\theta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\theta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Iota</td><td style="padding:0.5em;border:1px solid transparent;">I</td><td style="padding:0.5em;border:1px solid transparent;">\Iota</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-6d58de4e0945610b2fe67a58470fb332_l3.svg" alt="\iota" title="Rendered by QuickLaTeX.com" height="8" width="6" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\iota</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Kappa</td><td style="padding:0.5em;border:1px solid transparent;">K</td><td style="padding:0.5em;border:1px solid transparent;">\Kappa</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7bfab7d13cf77095ae70c88ea1af4573_l3.svg" alt="\kappa" title="Rendered by QuickLaTeX.com" height="9" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\kappa</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-119e4aebdfd81fce23b44962f9453fb7_l3.svg" alt="\Lambda" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.svg" alt="\lambda" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\lambda</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Mu</td><td style="padding:0.5em;border:1px solid transparent;">M</td><td style="padding:0.5em;border:1px solid transparent;">\Mu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.svg" alt="\mu" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\mu</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Nu</td><td style="padding:0.5em;border:1px solid transparent;">N</td><td style="padding:0.5em;border:1px solid transparent;">\Nu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5376f6867c11bfe62d1de72e3207e7cd_l3.svg" alt="\nu" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\nu</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e2b843feb1342ba974a132df2353c69_l3.svg" alt="\Xi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bcc5fdc81ba669dd58972d7f51a329ed_l3.svg" alt="\xi" title="Rendered by QuickLaTeX.com" height="16" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\xi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-722d20af6ac515fbc6d48bc6bb3b04c0_l3.svg" alt="\Pi" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ed7678864de5d2f3ff6739ada3fd00e9_l3.svg" alt="\pi" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\pi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Rho</td><td style="padding:0.5em;border:1px solid transparent;">P</td><td style="padding:0.5em;border:1px solid transparent;">\Rho</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e8e197a6f1572ae9b5a16039ea626388_l3.svg" alt="\rho" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\rho</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-61c579204d57adaac69cd9e5e6496848_l3.svg" alt="\Sigma" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.svg" alt="\sigma" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sigma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Tau</td><td style="padding:0.5em;border:1px solid transparent;">T</td><td style="padding:0.5em;border:1px solid transparent;">\Tau</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2d0f4e922bf6aa03f0b4a3128b5a72d5_l3.svg" alt="\tau" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\tau</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1ac6611308d29423569381bbc50734c2_l3.svg" alt="\Upsilon" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2fdd1626ad989941e9b69a05e8a7dc72_l3.svg" alt="\upsilon" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\upsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-21f36758b04341c7980aa18b13ced720_l3.svg" alt="\Phi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8358131e7f71b02f5a1b767b67603090_l3.svg" alt="\phi" title="Rendered by QuickLaTeX.com" height="16" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\phi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Chi</td><td style="padding:0.5em;border:1px solid transparent;">X</td><td style="padding:0.5em;border:1px solid transparent;">\Chi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-9177a67bb040b302b5580488d7d3bbfd_l3.svg" alt="\chi" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\chi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.svg" alt="\Psi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f45c7ef1c89e682fa4644c04dbd0e63e_l3.svg" alt="\psi" title="Rendered by QuickLaTeX.com" height="16" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\psi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aec5209436746bf1698d314cb55e66a0_l3.svg" alt="\Omega" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.svg" alt="\omega" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\omega</td></tr></tbody></table><h2>Scientific and Mathematical Symbols</h2><p>Equation editor shortcut for scientific and mathematical symbols like infinity, different arrows, operators (like partial, del, and nabla), conditional symbols, dot, cross, maps to, perpendicular, set symbols, for all, equivalent, congruent, angle, proportional, etc are given in the following table.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Infinity</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∞</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\infty</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Hbar</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">ℏ</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\hbar</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Right Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">→</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\rightarrow, -&gt;</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Left Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">←</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Up Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">North-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↗</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\nearrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">North-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↖</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\nwarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">South-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↘</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\searrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">South-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↙</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\swarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Left Right arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↔</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\leftrightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Up Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↕</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\updownarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Rightwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇒</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Rightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Leftwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇐</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Upwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Downwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\Downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Nabla</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">∇</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\nabla</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Less Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">≤</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\le</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Greater Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">≥</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\ge</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Double Less Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">≪</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">\ll</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Double Greater Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">≫</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\gg</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 × 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \times b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Tensor Product or O Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑓(𝑡) ⊗ 𝑔(𝑡)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">f(t)\otimes g(t)</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋅ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\cdot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊙ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\odot b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">O Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑥 ⊕ y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">x\oplus y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑥 ⊖ 𝑦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\ominus y</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Maps To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ↦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\mapsto b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Right Arrow with Hook</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">↪</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\hookrightarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 … 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\dots b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Center dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⋯ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\cdots b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Perpendicular</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⊥ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \bot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;"><br></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊤ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a \top b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Intersection</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⋂𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigcap B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Union</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⋃𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \bigcup B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Big Square Cup</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⨆𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigsqcup B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Big U with Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⨄𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \biguplus B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Star</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋆ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \star b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">For All</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">∀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\forall</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">In</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∈</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\in</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Exists</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∃</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\exists</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Big Wedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bigwedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Big Ve</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">⋁</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\bigvee</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≡</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Congruent</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\cong</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Not Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\ne</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Approximately Equal</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\approx</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Similar</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∼</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\sim</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Similar To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≃</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\simeq</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Natural Joint of Bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Box</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">□</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\box</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⊂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Empty Set</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\emptyset</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∴</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Because</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\because</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Plus or minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">±</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\pm or +-</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Minus or plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\mp</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Proportional To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∝</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\proto</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.0321%;">Degree C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.4055%;">22 °C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:66.6201%;">22 \degc</td></tr></tbody></table><h2>Accent</h2><p>The accent-like bars are used for various reasons, e.g. dot for denoting derivative. We can easily achieve these using the following word shortcuts.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 1.5em 0px;width:51%;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.svg" alt="\overline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\bar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-743f7b1cb1194e56eb74bfe40d0aa9e5_l3.svg" alt="\overline{\overline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\Bar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3ee2e6e6844b4a100e49e14089f92034_l3.svg" alt="\underline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ubar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b39e86c8da116e601b729b86b4d90a7_l3.svg" alt="\underline{\underline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\uBar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Acute</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-98891bb048840e4fc185c622fac2ee75_l3.svg" alt="\acute{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\acute&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Grave</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-406febd0f82bcd1e0da93cffcc072fcc_l3.svg" alt="\grave{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\grave&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Vector</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aee90824c3f4c140da7b40a5cc281ca6_l3.svg" alt="\vec{x}" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\vec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Hat</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e5513e3ac9959bd826718264e246ddf_l3.svg" alt="\hat{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\hat&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left-right arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-72b4ddd1d30af721b256f825be327832_l3.svg" alt="\overleftrightarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="21" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-17165ef481acdd699f002eb63285af66_l3.svg" alt="\overset{\leftharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lhvec&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Right harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e7e31740376d7eca04be4734642bfa37_l3.svg" alt="\overset{\rightharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\rhvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d9301ea14d65419aa6cd1cd69c035b1_l3.svg" alt="\dot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-39fcaefdf9d9f0a5e8892288beb59275_l3.svg" alt="\ddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Triple dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-926ad3bb610f6325bfd3f5aa55c2d0a9_l3.svg" alt="\dddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dddot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Four dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7cff94589d45fba2823218a8ec0a3803_l3.svg" alt="\overset{....}{x}" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Breve</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-38230ed45c7e2ffe9643ecdd75eebc5a_l3.svg" alt="\breve{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\breve&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Check</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e2d0a759ff6c473eaeed2729b301978_l3.svg" alt="\check{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\check&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Tilde</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-79a72178ca9d410fe5feec93feba8d33_l3.svg" alt="\tilde{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tilde&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f98b666787d84f2a5d514b111465ea1_l3.svg" alt="\overleftarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="17" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lvec&lt;sp&gt;</td></tr></tbody></table><h2>Grouping and brackets</h2><p>The equation editor causes brackets such as [], {}, and () to grow and fit the size of expression within them. However, the parenthesis used for grouping is not displayed in the final formatted expression. Albeit, the parenthesis which is required to be displayed, must be doubled. One for grouping which will vanish in the final formatted expression, and the other for display. Escape sequence (\ followed by the desired bracket is used to prevent the bracket from being reformatted.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-781948d77a4e0bca381b0e17be038c07_l3.svg" alt="\frac{a}{y}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">x/y</td><td style="padding:0.5em;border:1px solid transparent;">/ is used for fraction</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1d322bc4ca3e458bcdecd2b103f35c2d_l3.svg" alt="\left[\frac{x}{y} \right ]" title="Rendered by QuickLaTeX.com" height="32" width="22" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[x/y]</td><td style="padding:0.5em;border:1px solid transparent;">[] bracket automatically expands to adjust the fraction</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5a065be30298b900c3053e5b61d3ef20_l3.svg" alt="\left{\frac{x}{y} \right}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">{x/y}</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-268251de04d54c84fb61fe5c0edc0389_l3.svg" alt="\left(\frac{x}{y} \right )" title="Rendered by QuickLaTeX.com" height="32" width="27" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">(x/y)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses are displayed as they are not used for grouping</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-92ec4d24346ffa45ad3037778a28a646_l3.svg" alt="\frac{a}{p+q}" title="Rendered by QuickLaTeX.com" height="22" width="26" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/(p+q)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) are not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d0c9fd68c8a85b287df9b8ba77a038a2_l3.svg" alt="\frac{a}{\left(p+q \right )}" title="Rendered by QuickLaTeX.com" height="23" width="35" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/((p+q))</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) is not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-c9feaf255ee0380933b837f7520af776_l3.svg" alt="[_a^b y" title="Rendered by QuickLaTeX.com" height="20" width="20" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[ a\atop b \close y</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b8ef3aba6d975da2915382d159f87466_l3.svg" alt="\left|\frac{p|q|r}{c+d}\right|" title="Rendered by QuickLaTeX.com" height="33" width="40" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|(p|q|r)/(c+d)|</td><td style="padding:0.5em;border:1px solid transparent;">Again parentheses used for grouping are not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d90d918958fa6dc88f2a174400eec535_l3.svg" alt="|a|b\left|\frac{x}{a+b}\right|" title="Rendered by QuickLaTeX.com" height="33" width="65" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|a|b|x/(a+b)</td><td style="padding:0.5em;border:1px solid transparent;">Grouping parentheses not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b69a11b4379a5a7eb6464cd1572d870_l3.svg" alt="||a||" title="Rendered by QuickLaTeX.com" height="19" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\norm a \norm</td></tr></tbody></table><h2>Roots</h2><p>Equation editor shortcut for square root, cube root and higher roots are \sqrt(), \cbrt() and \sqrt(n&amp;x) respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2a73badef00b3aa80c19d28a15031f0d_l3.svg" alt="\sqrt{x}" title="Rendered by QuickLaTeX.com" height="18" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(x)&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a00f22f2e01abf18bbcfc30b206b8fb8_l3.svg" alt="\sqrt[3]{x+1}" title="Rendered by QuickLaTeX.com" height="18" width="55" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\cbrt(x+1)&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-66ca71b118bffeb4855f0d9f21caf4b1_l3.svg" alt="\sqrt[n]{x + 1}" title="Rendered by QuickLaTeX.com" height="18" width="54" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(n&amp;x)&lt;sp&gt;</td></tr></tbody></table><h2>Matrices</h2><p>The basic equation editor shortcut for creating an empty matrix of custom size is \matrix(@@&amp;&amp;&amp;)&lt;sp&gt;. Matrix size decided by number of @ (for rows) and &amp; (for columns). The count of rows and columns is one less than the count of @ and &amp; typed in the equation.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\matrix(@@&amp;)</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(@@&amp;) or (\matrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Vmatrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">[\matrix(1&amp;2&amp;3@4&amp;5&amp;6@7&amp;8&amp;9)]</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(1&amp;2@3&amp;4@5&amp;6)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr></tbody></table><h2>Piece wise function</h2><p>There are two ways to insert a piece-wise function by using the Equation Editor shortcut. First one uses \cases() method while the second one uses \matrix(). In both cases, desired piecewise functions are entered inside the parenthesis.</p><p>Like the matrices, @ is used as a row separator. To get only the opening curly braces ‘{‘ which automatically extends the height of the piecewise function, use \close in place of closing ‘}’.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\cases(x,x&gt;=0@-x,x&lt;0)\close</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">@ is used as row separator and \close is required to ensure opening { expands vertically to cover all cases</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)\close</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">Similar to above, &amp; is used as column separator</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><figure style="display:block;margin:0px auto 1.5em;clear:both;max-width:100%;width:300px;"><figcaption style="display:block;text-align:center;margin:0.8075em 0px;">Piecewise function without \close</figcaption></figure></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">Without \close, opening '{' doesn't expands</td></tr></tbody></table><h2>Integral, Sum and Product</h2><p>Shortcuts for an integral sign, sum, and product signs are \int, \sum, and \prod. You can use _ and ^ for inserting text below and above signs, respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a57a3ed33bdf250a6529aa3f33a24187_l3.svg" alt="\int{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int_x=0^1&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d40501e18e220cc1e8b6063a2d485b7_l3.svg" alt="\int_{x=0}^{1}f(x)dx" title="Rendered by QuickLaTeX.com" height="24" width="91" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">_ for lower limit and ^ for upper limit</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7826efa0e66108ab760448d40b2b405d_l3.svg" alt="\iint{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="77" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\iint for double integral</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint\below(S)&lt;sp&gt;ds</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-94b3b069310efbfc9abf27c1a4e8ce9c_l3.svg" alt="\iint\limits_Sds" title="Rendered by QuickLaTeX.com" height="31" width="41" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \below to put text below symbol</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iiint\above(V)&lt;sp&gt;&lt;sp&gt;dV</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bd2b0ce6c7b4aa0d1dedf3b08eea704a_l3.svg" alt="\overset{V}{\iiint}dV" title="Rendered by QuickLaTeX.com" height="33" width="53" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \above to put text above symbol</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\oint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e9bedf15543cf62392c097f3e3ff194_l3.svg" alt="\oint f(x)dx" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\oint for cyclic integral, similarly use \oiint for cyclic double Sum, integral</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d6766cbca7f85a3fee22b07654b2297e_l3.svg" alt="\sum_{i=1}^n A_i" title="Rendered by QuickLaTeX.com" height="19" width="63" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;\sum for sum symbol and _ &amp; ^ sign for getting text below and above sum. Parenthesis can be used for grouping text with spaces</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\prod_(n=0)^N&lt;sp&gt;x^n&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-43cba1b63505e8d4d788abfbad93b7d5_l3.svg" alt="\prod_{n=0}^N x^n" title="Rendered by QuickLaTeX.com" height="22" width="64" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">Similar to sum.</td></tr></tbody></table>]]></turbo:content>[/allow-turbo]
[allow-dzen]<content:encoded><![CDATA[<h2>Enabling Math Autocorrect</h2><p>In most versions of Microsoft Word, Math AutoCorrect is enabled by default. To ensure you can visit, File Menu → Options → Proofing → Autocorrect Options → Math AutoCorrect and ensure "Replace text as you type" is checked. These shortcuts work only inside the Equation Editor. However, to use it outside Equation Editor, “Use Math Autocorrect Rules outside of math regions“ should be checked.</p><h2>Equation Editor Shortcut</h2><p>The shortcut to get the equation editor is “Alt + =”, hold down the Alt key while pressing "=". Moreover, clicking on “Equations” under the “Insert” Tab will result in the same.</p><p>Space is an important part of the Math AutoCorrect shortcut. It invokes the conversion event which translates the typed equation into Mathematical Symbols/Operators. In this article, space is shown as &lt;sp&gt; for clarity.</p><h2>Subscript &amp; Superscript</h2><p>The shortcut for subscript and superscript is _ and ^. Anything after _ or ^ will get converted into subscript or superscript respectively, after hitting space. To include space in subscript or superscript, group them in parenthesis or (). These grouping parentheses don’t appear after Math AutoCorrect. Grouping is also important as it distinguishes between a_i^2 and a_(i^2). To add pre-subscript or pre-superscript, use \zwsp along with _ and ^ sign.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">A_circle&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e1fe9ad59f0277e791ab3cff45d5985a_l3.svg" alt="A_{circle}" title="Rendered by QuickLaTeX.com" height="16" width="47" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-19db2644cdc31d7e9f0115deb1e187cd_l3.svg" alt="r^2" title="Rendered by QuickLaTeX.com" height="15" width="15" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">A_(big circle)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ff7cf36f96f5ae6ffa24a1f452af5a66_l3.svg" alt="A_{big \ circle}" height="18" width="70" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">H^(2 square)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1d0420f01ec9b05e4161be94179df33_l3.svg" alt="H^{2\; square}" title="Rendered by QuickLaTeX.com" height="15" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">r^2_outer&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-4bd3b8040cffec29170493549deffd28_l3.svg" alt="r^2_{outer}" height="19" width="40" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2_(outer circle)</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8367059af14b0b5bdace644ced476d23_l3.svg" alt="r^{2}_{outer\;circle}" title="Rendered by QuickLaTeX.com" height="20" width="78" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fa49c5eb22dc72da192a9cd524333f95_l3.svg" alt="_cR" height="15" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;^c&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d1c32a5a0f0395ffb7248904693d2a92_l3.svg" alt="^cR" height="12" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2944529ff728880658707e96a7f4ebb0_l3.svg" alt="_c^dR" height="19" width="22" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;_e^f&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3d420d047b10b5696022224e31cb2f08_l3.svg" alt="_c^dR_e^f" height="22" width="29" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr></tbody></table><h2>Greek letters</h2><p>Greek letters have 24 alphabets. There are four distinct ways of typing the Greek alphabet in Microsoft Word. Of these, Math AutoCorrect method is the easiest to remember and the fastest of all four. This method of typing Greek letters is as easy as typing its spelling after \ (backslash). To get the lower case Greek Alphabet, type the name of Greek letter after \ in lower case, e.g. \alpha for \alpha, and for the upper use case type the name of Greek letter after \ in Title case, e.g. \Gamma for \Gamma.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Alpha</td><td style="padding:0.5em;border:1px solid transparent;">A</td><td style="padding:0.5em;border:1px solid transparent;">\Alpha</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f44d9bbc8046069be4aa2989bff19aa_l3.svg" alt="\alpha" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\alpha</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Beta</td><td style="padding:0.5em;border:1px solid transparent;">B</td><td style="padding:0.5em;border:1px solid transparent;">\Beta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0f39b655b53423e80558c68b8c2ae1c3_l3.svg" alt="\beta" title="Rendered by QuickLaTeX.com" height="17" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\beta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8b96b68d5ed0c24da53fe469947485be_l3.svg" alt="\Gamma" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b9abe136d2f0d53300727f373cfed43_l3.svg" alt="\gamma" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\gamma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b7305a6cb6d013542b2aa8af4e001985_l3.svg" alt="\Delta" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2efdda5160c474b96fc6cbe01fa602a8_l3.svg" alt="\delta" title="Rendered by QuickLaTeX.com" height="13" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\delta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Epsilon</td><td style="padding:0.5em;border:1px solid transparent;">E</td><td style="padding:0.5em;border:1px solid transparent;">\Epsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1ea683a5e3ac49e12a81be8cd57fe90_l3.svg" alt="\epsilon" title="Rendered by QuickLaTeX.com" height="8" width="7" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\epsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Zeta</td><td style="padding:0.5em;border:1px solid transparent;">Z</td><td style="padding:0.5em;border:1px solid transparent;">\Zeta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-edb4eb32c88cd1decc4b05e9293e5cb8_l3.svg" alt="\zeta" title="Rendered by QuickLaTeX.com" height="16" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zeta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Eta</td><td style="padding:0.5em;border:1px solid transparent;">H</td><td style="padding:0.5em;border:1px solid transparent;">\Eta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3a1c05994216c4908007c94e1429761c_l3.svg" alt="\eta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\eta</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-309d1e9dc1d3a46c23ed1f6d2449b454_l3.svg" alt="\Theta" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b2034939b850e3311120fca462ab64e_l3.svg" alt="\theta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\theta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Iota</td><td style="padding:0.5em;border:1px solid transparent;">I</td><td style="padding:0.5em;border:1px solid transparent;">\Iota</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-6d58de4e0945610b2fe67a58470fb332_l3.svg" alt="\iota" title="Rendered by QuickLaTeX.com" height="8" width="6" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\iota</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Kappa</td><td style="padding:0.5em;border:1px solid transparent;">K</td><td style="padding:0.5em;border:1px solid transparent;">\Kappa</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7bfab7d13cf77095ae70c88ea1af4573_l3.svg" alt="\kappa" title="Rendered by QuickLaTeX.com" height="9" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\kappa</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-119e4aebdfd81fce23b44962f9453fb7_l3.svg" alt="\Lambda" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.svg" alt="\lambda" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\lambda</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Mu</td><td style="padding:0.5em;border:1px solid transparent;">M</td><td style="padding:0.5em;border:1px solid transparent;">\Mu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.svg" alt="\mu" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\mu</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Nu</td><td style="padding:0.5em;border:1px solid transparent;">N</td><td style="padding:0.5em;border:1px solid transparent;">\Nu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5376f6867c11bfe62d1de72e3207e7cd_l3.svg" alt="\nu" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\nu</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e2b843feb1342ba974a132df2353c69_l3.svg" alt="\Xi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bcc5fdc81ba669dd58972d7f51a329ed_l3.svg" alt="\xi" title="Rendered by QuickLaTeX.com" height="16" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\xi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-722d20af6ac515fbc6d48bc6bb3b04c0_l3.svg" alt="\Pi" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ed7678864de5d2f3ff6739ada3fd00e9_l3.svg" alt="\pi" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\pi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Rho</td><td style="padding:0.5em;border:1px solid transparent;">P</td><td style="padding:0.5em;border:1px solid transparent;">\Rho</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e8e197a6f1572ae9b5a16039ea626388_l3.svg" alt="\rho" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\rho</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-61c579204d57adaac69cd9e5e6496848_l3.svg" alt="\Sigma" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.svg" alt="\sigma" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sigma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Tau</td><td style="padding:0.5em;border:1px solid transparent;">T</td><td style="padding:0.5em;border:1px solid transparent;">\Tau</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2d0f4e922bf6aa03f0b4a3128b5a72d5_l3.svg" alt="\tau" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\tau</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1ac6611308d29423569381bbc50734c2_l3.svg" alt="\Upsilon" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2fdd1626ad989941e9b69a05e8a7dc72_l3.svg" alt="\upsilon" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\upsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-21f36758b04341c7980aa18b13ced720_l3.svg" alt="\Phi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8358131e7f71b02f5a1b767b67603090_l3.svg" alt="\phi" title="Rendered by QuickLaTeX.com" height="16" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\phi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Chi</td><td style="padding:0.5em;border:1px solid transparent;">X</td><td style="padding:0.5em;border:1px solid transparent;">\Chi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-9177a67bb040b302b5580488d7d3bbfd_l3.svg" alt="\chi" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\chi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.svg" alt="\Psi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f45c7ef1c89e682fa4644c04dbd0e63e_l3.svg" alt="\psi" title="Rendered by QuickLaTeX.com" height="16" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\psi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aec5209436746bf1698d314cb55e66a0_l3.svg" alt="\Omega" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.svg" alt="\omega" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\omega</td></tr></tbody></table><h2>Scientific and Mathematical Symbols</h2><p>Equation editor shortcut for scientific and mathematical symbols like infinity, different arrows, operators (like partial, del, and nabla), conditional symbols, dot, cross, maps to, perpendicular, set symbols, for all, equivalent, congruent, angle, proportional, etc are given in the following table.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Infinity</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∞</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\infty</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Hbar</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">ℏ</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\hbar</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Right Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">→</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\rightarrow, -&gt;</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Left Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">←</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Up Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">North-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↗</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\nearrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">North-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↖</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\nwarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">South-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↘</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\searrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">South-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↙</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\swarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Left Right arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↔</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\leftrightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Up Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↕</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\updownarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Rightwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇒</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Rightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Leftwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇐</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Upwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Downwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\Downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Nabla</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">∇</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\nabla</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Less Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">≤</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\le</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Greater Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">≥</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\ge</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Double Less Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">≪</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">\ll</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Double Greater Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">≫</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\gg</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 × 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \times b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Tensor Product or O Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑓(𝑡) ⊗ 𝑔(𝑡)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">f(t)\otimes g(t)</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋅ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\cdot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊙ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\odot b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">O Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑥 ⊕ y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">x\oplus y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑥 ⊖ 𝑦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\ominus y</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Maps To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ↦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\mapsto b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Right Arrow with Hook</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">↪</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\hookrightarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 … 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\dots b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Center dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⋯ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\cdots b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Perpendicular</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⊥ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \bot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;"><br></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊤ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a \top b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Intersection</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⋂𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigcap B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Union</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⋃𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \bigcup B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Big Square Cup</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⨆𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigsqcup B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Big U with Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⨄𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \biguplus B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Star</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋆ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \star b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">For All</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">∀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\forall</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">In</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∈</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\in</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Exists</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∃</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\exists</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Big Wedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bigwedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Big Ve</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">⋁</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\bigvee</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≡</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Congruent</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\cong</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Not Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\ne</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Approximately Equal</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\approx</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Similar</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∼</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\sim</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Similar To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≃</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\simeq</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Natural Joint of Bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Box</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">□</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\box</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⊂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Empty Set</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\emptyset</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∴</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Because</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\because</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Plus or minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">±</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\pm or +-</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Minus or plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\mp</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Proportional To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∝</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\proto</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.0321%;">Degree C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.4055%;">22 °C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:66.6201%;">22 \degc</td></tr></tbody></table><h2>Accent</h2><p>The accent-like bars are used for various reasons, e.g. dot for denoting derivative. We can easily achieve these using the following word shortcuts.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 1.5em 0px;width:51%;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.svg" alt="\overline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\bar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-743f7b1cb1194e56eb74bfe40d0aa9e5_l3.svg" alt="\overline{\overline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\Bar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3ee2e6e6844b4a100e49e14089f92034_l3.svg" alt="\underline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ubar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b39e86c8da116e601b729b86b4d90a7_l3.svg" alt="\underline{\underline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\uBar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Acute</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-98891bb048840e4fc185c622fac2ee75_l3.svg" alt="\acute{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\acute&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Grave</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-406febd0f82bcd1e0da93cffcc072fcc_l3.svg" alt="\grave{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\grave&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Vector</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aee90824c3f4c140da7b40a5cc281ca6_l3.svg" alt="\vec{x}" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\vec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Hat</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e5513e3ac9959bd826718264e246ddf_l3.svg" alt="\hat{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\hat&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left-right arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-72b4ddd1d30af721b256f825be327832_l3.svg" alt="\overleftrightarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="21" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-17165ef481acdd699f002eb63285af66_l3.svg" alt="\overset{\leftharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lhvec&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Right harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e7e31740376d7eca04be4734642bfa37_l3.svg" alt="\overset{\rightharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\rhvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d9301ea14d65419aa6cd1cd69c035b1_l3.svg" alt="\dot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-39fcaefdf9d9f0a5e8892288beb59275_l3.svg" alt="\ddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Triple dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-926ad3bb610f6325bfd3f5aa55c2d0a9_l3.svg" alt="\dddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dddot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Four dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7cff94589d45fba2823218a8ec0a3803_l3.svg" alt="\overset{....}{x}" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Breve</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-38230ed45c7e2ffe9643ecdd75eebc5a_l3.svg" alt="\breve{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\breve&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Check</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e2d0a759ff6c473eaeed2729b301978_l3.svg" alt="\check{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\check&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Tilde</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-79a72178ca9d410fe5feec93feba8d33_l3.svg" alt="\tilde{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tilde&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f98b666787d84f2a5d514b111465ea1_l3.svg" alt="\overleftarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="17" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lvec&lt;sp&gt;</td></tr></tbody></table><h2>Grouping and brackets</h2><p>The equation editor causes brackets such as [], {}, and () to grow and fit the size of expression within them. However, the parenthesis used for grouping is not displayed in the final formatted expression. Albeit, the parenthesis which is required to be displayed, must be doubled. One for grouping which will vanish in the final formatted expression, and the other for display. Escape sequence (\ followed by the desired bracket is used to prevent the bracket from being reformatted.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-781948d77a4e0bca381b0e17be038c07_l3.svg" alt="\frac{a}{y}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">x/y</td><td style="padding:0.5em;border:1px solid transparent;">/ is used for fraction</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1d322bc4ca3e458bcdecd2b103f35c2d_l3.svg" alt="\left[\frac{x}{y} \right ]" title="Rendered by QuickLaTeX.com" height="32" width="22" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[x/y]</td><td style="padding:0.5em;border:1px solid transparent;">[] bracket automatically expands to adjust the fraction</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5a065be30298b900c3053e5b61d3ef20_l3.svg" alt="\left{\frac{x}{y} \right}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">{x/y}</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-268251de04d54c84fb61fe5c0edc0389_l3.svg" alt="\left(\frac{x}{y} \right )" title="Rendered by QuickLaTeX.com" height="32" width="27" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">(x/y)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses are displayed as they are not used for grouping</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-92ec4d24346ffa45ad3037778a28a646_l3.svg" alt="\frac{a}{p+q}" title="Rendered by QuickLaTeX.com" height="22" width="26" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/(p+q)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) are not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d0c9fd68c8a85b287df9b8ba77a038a2_l3.svg" alt="\frac{a}{\left(p+q \right )}" title="Rendered by QuickLaTeX.com" height="23" width="35" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/((p+q))</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) is not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-c9feaf255ee0380933b837f7520af776_l3.svg" alt="[_a^b y" title="Rendered by QuickLaTeX.com" height="20" width="20" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[ a\atop b \close y</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b8ef3aba6d975da2915382d159f87466_l3.svg" alt="\left|\frac{p|q|r}{c+d}\right|" title="Rendered by QuickLaTeX.com" height="33" width="40" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|(p|q|r)/(c+d)|</td><td style="padding:0.5em;border:1px solid transparent;">Again parentheses used for grouping are not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d90d918958fa6dc88f2a174400eec535_l3.svg" alt="|a|b\left|\frac{x}{a+b}\right|" title="Rendered by QuickLaTeX.com" height="33" width="65" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|a|b|x/(a+b)</td><td style="padding:0.5em;border:1px solid transparent;">Grouping parentheses not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b69a11b4379a5a7eb6464cd1572d870_l3.svg" alt="||a||" title="Rendered by QuickLaTeX.com" height="19" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\norm a \norm</td></tr></tbody></table><h2>Roots</h2><p>Equation editor shortcut for square root, cube root and higher roots are \sqrt(), \cbrt() and \sqrt(n&amp;x) respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2a73badef00b3aa80c19d28a15031f0d_l3.svg" alt="\sqrt{x}" title="Rendered by QuickLaTeX.com" height="18" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(x)&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a00f22f2e01abf18bbcfc30b206b8fb8_l3.svg" alt="\sqrt[3]{x+1}" title="Rendered by QuickLaTeX.com" height="18" width="55" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\cbrt(x+1)&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-66ca71b118bffeb4855f0d9f21caf4b1_l3.svg" alt="\sqrt[n]{x + 1}" title="Rendered by QuickLaTeX.com" height="18" width="54" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(n&amp;x)&lt;sp&gt;</td></tr></tbody></table><h2>Matrices</h2><p>The basic equation editor shortcut for creating an empty matrix of custom size is \matrix(@@&amp;&amp;&amp;)&lt;sp&gt;. Matrix size decided by number of @ (for rows) and &amp; (for columns). The count of rows and columns is one less than the count of @ and &amp; typed in the equation.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\matrix(@@&amp;)</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(@@&amp;) or (\matrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Vmatrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">[\matrix(1&amp;2&amp;3@4&amp;5&amp;6@7&amp;8&amp;9)]</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(1&amp;2@3&amp;4@5&amp;6)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr></tbody></table><h2>Piece wise function</h2><p>There are two ways to insert a piece-wise function by using the Equation Editor shortcut. First one uses \cases() method while the second one uses \matrix(). In both cases, desired piecewise functions are entered inside the parenthesis.</p><p>Like the matrices, @ is used as a row separator. To get only the opening curly braces ‘{‘ which automatically extends the height of the piecewise function, use \close in place of closing ‘}’.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\cases(x,x&gt;=0@-x,x&lt;0)\close</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">@ is used as row separator and \close is required to ensure opening { expands vertically to cover all cases</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)\close</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">Similar to above, &amp; is used as column separator</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><figure style="display:block;margin:0px auto 1.5em;clear:both;max-width:100%;width:300px;"><figcaption style="display:block;text-align:center;margin:0.8075em 0px;">Piecewise function without \close</figcaption></figure></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">Without \close, opening '{' doesn't expands</td></tr></tbody></table><h2>Integral, Sum and Product</h2><p>Shortcuts for an integral sign, sum, and product signs are \int, \sum, and \prod. You can use _ and ^ for inserting text below and above signs, respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a57a3ed33bdf250a6529aa3f33a24187_l3.svg" alt="\int{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int_x=0^1&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d40501e18e220cc1e8b6063a2d485b7_l3.svg" alt="\int_{x=0}^{1}f(x)dx" title="Rendered by QuickLaTeX.com" height="24" width="91" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">_ for lower limit and ^ for upper limit</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7826efa0e66108ab760448d40b2b405d_l3.svg" alt="\iint{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="77" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\iint for double integral</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint\below(S)&lt;sp&gt;ds</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-94b3b069310efbfc9abf27c1a4e8ce9c_l3.svg" alt="\iint\limits_Sds" title="Rendered by QuickLaTeX.com" height="31" width="41" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \below to put text below symbol</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iiint\above(V)&lt;sp&gt;&lt;sp&gt;dV</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bd2b0ce6c7b4aa0d1dedf3b08eea704a_l3.svg" alt="\overset{V}{\iiint}dV" title="Rendered by QuickLaTeX.com" height="33" width="53" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \above to put text above symbol</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\oint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e9bedf15543cf62392c097f3e3ff194_l3.svg" alt="\oint f(x)dx" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\oint for cyclic integral, similarly use \oiint for cyclic double Sum, integral</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d6766cbca7f85a3fee22b07654b2297e_l3.svg" alt="\sum_{i=1}^n A_i" title="Rendered by QuickLaTeX.com" height="19" width="63" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;\sum for sum symbol and _ &amp; ^ sign for getting text below and above sum. Parenthesis can be used for grouping text with spaces</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\prod_(n=0)^N&lt;sp&gt;x^n&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-43cba1b63505e8d4d788abfbad93b7d5_l3.svg" alt="\prod_{n=0}^N x^n" title="Rendered by QuickLaTeX.com" height="22" width="64" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">Similar to sum.</td></tr></tbody></table>]]></content:encoded>[/allow-dzen]
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<title>A Reference on Microsoft Word equation editor</title>
<link>https://farid.partonia.ir/index.php?newsid=18</link>
<description><p>The equation is a vital part of many technical manuscripts, including thesis and research papers. However, typing it in Microsoft Word is an arduous task. To cope with it, Microsoft Word introduced the LaTeX type equation editor feature which is termed "Math AutoCorrect" and is available since Microsoft Word 2007.</p><p>This article aims to elaborate on the most usages of the Microsoft Word equation editor.</p></description>
<category>General</category>
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<pubDate>Tue, 28 Jun 2022 22:52:29 +0430</pubDate>
<yandex:full-text><h2>Enabling Math Autocorrect</h2><p>In most versions of Microsoft Word, Math AutoCorrect is enabled by default. To ensure you can visit, File Menu → Options → Proofing → Autocorrect Options → Math AutoCorrect and ensure "Replace text as you type" is checked. These shortcuts work only inside the Equation Editor. However, to use it outside Equation Editor, “Use Math Autocorrect Rules outside of math regions“ should be checked.</p><h2>Equation Editor Shortcut</h2><p>The shortcut to get the equation editor is “Alt + =”, hold down the Alt key while pressing "=". Moreover, clicking on “Equations” under the “Insert” Tab will result in the same.</p><p>Space is an important part of the Math AutoCorrect shortcut. It invokes the conversion event which translates the typed equation into Mathematical Symbols/Operators. In this article, space is shown as &lt;sp&gt; for clarity.</p><h2>Subscript &amp; Superscript</h2><p>The shortcut for subscript and superscript is _ and ^. Anything after _ or ^ will get converted into subscript or superscript respectively, after hitting space. To include space in subscript or superscript, group them in parenthesis or (). These grouping parentheses don’t appear after Math AutoCorrect. Grouping is also important as it distinguishes between a_i^2 and a_(i^2). To add pre-subscript or pre-superscript, use \zwsp along with _ and ^ sign.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">A_circle&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e1fe9ad59f0277e791ab3cff45d5985a_l3.svg" alt="A_{circle}" title="Rendered by QuickLaTeX.com" height="16" width="47" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-19db2644cdc31d7e9f0115deb1e187cd_l3.svg" alt="r^2" title="Rendered by QuickLaTeX.com" height="15" width="15" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">A_(big circle)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ff7cf36f96f5ae6ffa24a1f452af5a66_l3.svg" alt="A_{big \ circle}" height="18" width="70" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">H^(2 square)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1d0420f01ec9b05e4161be94179df33_l3.svg" alt="H^{2\; square}" title="Rendered by QuickLaTeX.com" height="15" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">r^2_outer&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-4bd3b8040cffec29170493549deffd28_l3.svg" alt="r^2_{outer}" height="19" width="40" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2_(outer circle)</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8367059af14b0b5bdace644ced476d23_l3.svg" alt="r^{2}_{outer\;circle}" title="Rendered by QuickLaTeX.com" height="20" width="78" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fa49c5eb22dc72da192a9cd524333f95_l3.svg" alt="_cR" height="15" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;^c&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d1c32a5a0f0395ffb7248904693d2a92_l3.svg" alt="^cR" height="12" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2944529ff728880658707e96a7f4ebb0_l3.svg" alt="_c^dR" height="19" width="22" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;_e^f&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3d420d047b10b5696022224e31cb2f08_l3.svg" alt="_c^dR_e^f" height="22" width="29" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr></tbody></table><h2>Greek letters</h2><p>Greek letters have 24 alphabets. There are four distinct ways of typing the Greek alphabet in Microsoft Word. Of these, Math AutoCorrect method is the easiest to remember and the fastest of all four. This method of typing Greek letters is as easy as typing its spelling after \ (backslash). To get the lower case Greek Alphabet, type the name of Greek letter after \ in lower case, e.g. \alpha for \alpha, and for the upper use case type the name of Greek letter after \ in Title case, e.g. \Gamma for \Gamma.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Alpha</td><td style="padding:0.5em;border:1px solid transparent;">A</td><td style="padding:0.5em;border:1px solid transparent;">\Alpha</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f44d9bbc8046069be4aa2989bff19aa_l3.svg" alt="\alpha" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\alpha</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Beta</td><td style="padding:0.5em;border:1px solid transparent;">B</td><td style="padding:0.5em;border:1px solid transparent;">\Beta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0f39b655b53423e80558c68b8c2ae1c3_l3.svg" alt="\beta" title="Rendered by QuickLaTeX.com" height="17" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\beta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8b96b68d5ed0c24da53fe469947485be_l3.svg" alt="\Gamma" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b9abe136d2f0d53300727f373cfed43_l3.svg" alt="\gamma" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\gamma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b7305a6cb6d013542b2aa8af4e001985_l3.svg" alt="\Delta" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2efdda5160c474b96fc6cbe01fa602a8_l3.svg" alt="\delta" title="Rendered by QuickLaTeX.com" height="13" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\delta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Epsilon</td><td style="padding:0.5em;border:1px solid transparent;">E</td><td style="padding:0.5em;border:1px solid transparent;">\Epsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1ea683a5e3ac49e12a81be8cd57fe90_l3.svg" alt="\epsilon" title="Rendered by QuickLaTeX.com" height="8" width="7" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\epsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Zeta</td><td style="padding:0.5em;border:1px solid transparent;">Z</td><td style="padding:0.5em;border:1px solid transparent;">\Zeta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-edb4eb32c88cd1decc4b05e9293e5cb8_l3.svg" alt="\zeta" title="Rendered by QuickLaTeX.com" height="16" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zeta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Eta</td><td style="padding:0.5em;border:1px solid transparent;">H</td><td style="padding:0.5em;border:1px solid transparent;">\Eta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3a1c05994216c4908007c94e1429761c_l3.svg" alt="\eta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\eta</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-309d1e9dc1d3a46c23ed1f6d2449b454_l3.svg" alt="\Theta" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b2034939b850e3311120fca462ab64e_l3.svg" alt="\theta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\theta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Iota</td><td style="padding:0.5em;border:1px solid transparent;">I</td><td style="padding:0.5em;border:1px solid transparent;">\Iota</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-6d58de4e0945610b2fe67a58470fb332_l3.svg" alt="\iota" title="Rendered by QuickLaTeX.com" height="8" width="6" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\iota</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Kappa</td><td style="padding:0.5em;border:1px solid transparent;">K</td><td style="padding:0.5em;border:1px solid transparent;">\Kappa</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7bfab7d13cf77095ae70c88ea1af4573_l3.svg" alt="\kappa" title="Rendered by QuickLaTeX.com" height="9" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\kappa</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-119e4aebdfd81fce23b44962f9453fb7_l3.svg" alt="\Lambda" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.svg" alt="\lambda" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\lambda</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Mu</td><td style="padding:0.5em;border:1px solid transparent;">M</td><td style="padding:0.5em;border:1px solid transparent;">\Mu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.svg" alt="\mu" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\mu</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Nu</td><td style="padding:0.5em;border:1px solid transparent;">N</td><td style="padding:0.5em;border:1px solid transparent;">\Nu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5376f6867c11bfe62d1de72e3207e7cd_l3.svg" alt="\nu" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\nu</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e2b843feb1342ba974a132df2353c69_l3.svg" alt="\Xi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bcc5fdc81ba669dd58972d7f51a329ed_l3.svg" alt="\xi" title="Rendered by QuickLaTeX.com" height="16" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\xi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-722d20af6ac515fbc6d48bc6bb3b04c0_l3.svg" alt="\Pi" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ed7678864de5d2f3ff6739ada3fd00e9_l3.svg" alt="\pi" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\pi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Rho</td><td style="padding:0.5em;border:1px solid transparent;">P</td><td style="padding:0.5em;border:1px solid transparent;">\Rho</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e8e197a6f1572ae9b5a16039ea626388_l3.svg" alt="\rho" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\rho</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-61c579204d57adaac69cd9e5e6496848_l3.svg" alt="\Sigma" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.svg" alt="\sigma" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sigma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Tau</td><td style="padding:0.5em;border:1px solid transparent;">T</td><td style="padding:0.5em;border:1px solid transparent;">\Tau</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2d0f4e922bf6aa03f0b4a3128b5a72d5_l3.svg" alt="\tau" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\tau</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1ac6611308d29423569381bbc50734c2_l3.svg" alt="\Upsilon" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2fdd1626ad989941e9b69a05e8a7dc72_l3.svg" alt="\upsilon" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\upsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-21f36758b04341c7980aa18b13ced720_l3.svg" alt="\Phi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8358131e7f71b02f5a1b767b67603090_l3.svg" alt="\phi" title="Rendered by QuickLaTeX.com" height="16" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\phi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Chi</td><td style="padding:0.5em;border:1px solid transparent;">X</td><td style="padding:0.5em;border:1px solid transparent;">\Chi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-9177a67bb040b302b5580488d7d3bbfd_l3.svg" alt="\chi" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\chi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.svg" alt="\Psi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f45c7ef1c89e682fa4644c04dbd0e63e_l3.svg" alt="\psi" title="Rendered by QuickLaTeX.com" height="16" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\psi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aec5209436746bf1698d314cb55e66a0_l3.svg" alt="\Omega" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.svg" alt="\omega" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\omega</td></tr></tbody></table><h2>Scientific and Mathematical Symbols</h2><p>Equation editor shortcut for scientific and mathematical symbols like infinity, different arrows, operators (like partial, del, and nabla), conditional symbols, dot, cross, maps to, perpendicular, set symbols, for all, equivalent, congruent, angle, proportional, etc are given in the following table.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Infinity</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∞</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\infty</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Hbar</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">ℏ</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\hbar</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Right Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">→</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\rightarrow, -&gt;</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Left Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">←</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Up Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">North-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↗</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\nearrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">North-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↖</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\nwarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">South-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↘</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\searrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">South-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↙</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\swarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Left Right arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↔</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\leftrightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Up Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↕</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\updownarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Rightwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇒</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Rightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Leftwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇐</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Upwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Downwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\Downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Nabla</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">∇</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\nabla</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Less Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">≤</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\le</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Greater Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">≥</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\ge</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Double Less Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">≪</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">\ll</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Double Greater Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">≫</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\gg</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 × 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \times b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Tensor Product or O Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑓(𝑡) ⊗ 𝑔(𝑡)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">f(t)\otimes g(t)</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋅ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\cdot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊙ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\odot b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">O Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑥 ⊕ y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">x\oplus y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑥 ⊖ 𝑦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\ominus y</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Maps To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ↦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\mapsto b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Right Arrow with Hook</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">↪</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\hookrightarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 … 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\dots b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Center dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⋯ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\cdots b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Perpendicular</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⊥ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \bot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;"><br></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊤ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a \top b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Intersection</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⋂𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigcap B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Union</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⋃𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \bigcup B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Big Square Cup</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⨆𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigsqcup B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Big U with Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⨄𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \biguplus B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Star</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋆ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \star b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">For All</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">∀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\forall</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">In</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∈</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\in</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Exists</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∃</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\exists</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Big Wedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bigwedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Big Ve</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">⋁</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\bigvee</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≡</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Congruent</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\cong</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Not Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\ne</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Approximately Equal</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\approx</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Similar</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∼</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\sim</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Similar To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≃</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\simeq</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Natural Joint of Bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Box</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">□</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\box</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⊂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Empty Set</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\emptyset</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∴</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Because</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\because</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Plus or minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">±</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\pm or +-</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Minus or plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\mp</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Proportional To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∝</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\proto</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.0321%;">Degree C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.4055%;">22 °C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:66.6201%;">22 \degc</td></tr></tbody></table><h2>Accent</h2><p>The accent-like bars are used for various reasons, e.g. dot for denoting derivative. We can easily achieve these using the following word shortcuts.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 1.5em 0px;width:51%;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.svg" alt="\overline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\bar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-743f7b1cb1194e56eb74bfe40d0aa9e5_l3.svg" alt="\overline{\overline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\Bar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3ee2e6e6844b4a100e49e14089f92034_l3.svg" alt="\underline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ubar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b39e86c8da116e601b729b86b4d90a7_l3.svg" alt="\underline{\underline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\uBar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Acute</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-98891bb048840e4fc185c622fac2ee75_l3.svg" alt="\acute{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\acute&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Grave</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-406febd0f82bcd1e0da93cffcc072fcc_l3.svg" alt="\grave{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\grave&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Vector</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aee90824c3f4c140da7b40a5cc281ca6_l3.svg" alt="\vec{x}" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\vec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Hat</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e5513e3ac9959bd826718264e246ddf_l3.svg" alt="\hat{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\hat&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left-right arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-72b4ddd1d30af721b256f825be327832_l3.svg" alt="\overleftrightarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="21" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-17165ef481acdd699f002eb63285af66_l3.svg" alt="\overset{\leftharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lhvec&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Right harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e7e31740376d7eca04be4734642bfa37_l3.svg" alt="\overset{\rightharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\rhvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d9301ea14d65419aa6cd1cd69c035b1_l3.svg" alt="\dot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-39fcaefdf9d9f0a5e8892288beb59275_l3.svg" alt="\ddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Triple dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-926ad3bb610f6325bfd3f5aa55c2d0a9_l3.svg" alt="\dddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dddot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Four dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7cff94589d45fba2823218a8ec0a3803_l3.svg" alt="\overset{....}{x}" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Breve</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-38230ed45c7e2ffe9643ecdd75eebc5a_l3.svg" alt="\breve{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\breve&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Check</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e2d0a759ff6c473eaeed2729b301978_l3.svg" alt="\check{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\check&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Tilde</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-79a72178ca9d410fe5feec93feba8d33_l3.svg" alt="\tilde{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tilde&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f98b666787d84f2a5d514b111465ea1_l3.svg" alt="\overleftarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="17" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lvec&lt;sp&gt;</td></tr></tbody></table><h2>Grouping and brackets</h2><p>The equation editor causes brackets such as [], {}, and () to grow and fit the size of expression within them. However, the parenthesis used for grouping is not displayed in the final formatted expression. Albeit, the parenthesis which is required to be displayed, must be doubled. One for grouping which will vanish in the final formatted expression, and the other for display. Escape sequence (\ followed by the desired bracket is used to prevent the bracket from being reformatted.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-781948d77a4e0bca381b0e17be038c07_l3.svg" alt="\frac{a}{y}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">x/y</td><td style="padding:0.5em;border:1px solid transparent;">/ is used for fraction</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1d322bc4ca3e458bcdecd2b103f35c2d_l3.svg" alt="\left[\frac{x}{y} \right ]" title="Rendered by QuickLaTeX.com" height="32" width="22" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[x/y]</td><td style="padding:0.5em;border:1px solid transparent;">[] bracket automatically expands to adjust the fraction</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5a065be30298b900c3053e5b61d3ef20_l3.svg" alt="\left{\frac{x}{y} \right}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">{x/y}</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-268251de04d54c84fb61fe5c0edc0389_l3.svg" alt="\left(\frac{x}{y} \right )" title="Rendered by QuickLaTeX.com" height="32" width="27" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">(x/y)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses are displayed as they are not used for grouping</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-92ec4d24346ffa45ad3037778a28a646_l3.svg" alt="\frac{a}{p+q}" title="Rendered by QuickLaTeX.com" height="22" width="26" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/(p+q)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) are not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d0c9fd68c8a85b287df9b8ba77a038a2_l3.svg" alt="\frac{a}{\left(p+q \right )}" title="Rendered by QuickLaTeX.com" height="23" width="35" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/((p+q))</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) is not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-c9feaf255ee0380933b837f7520af776_l3.svg" alt="[_a^b y" title="Rendered by QuickLaTeX.com" height="20" width="20" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[ a\atop b \close y</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b8ef3aba6d975da2915382d159f87466_l3.svg" alt="\left|\frac{p|q|r}{c+d}\right|" title="Rendered by QuickLaTeX.com" height="33" width="40" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|(p|q|r)/(c+d)|</td><td style="padding:0.5em;border:1px solid transparent;">Again parentheses used for grouping are not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d90d918958fa6dc88f2a174400eec535_l3.svg" alt="|a|b\left|\frac{x}{a+b}\right|" title="Rendered by QuickLaTeX.com" height="33" width="65" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|a|b|x/(a+b)</td><td style="padding:0.5em;border:1px solid transparent;">Grouping parentheses not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b69a11b4379a5a7eb6464cd1572d870_l3.svg" alt="||a||" title="Rendered by QuickLaTeX.com" height="19" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\norm a \norm</td></tr></tbody></table><h2>Roots</h2><p>Equation editor shortcut for square root, cube root and higher roots are \sqrt(), \cbrt() and \sqrt(n&amp;x) respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2a73badef00b3aa80c19d28a15031f0d_l3.svg" alt="\sqrt{x}" title="Rendered by QuickLaTeX.com" height="18" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(x)&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a00f22f2e01abf18bbcfc30b206b8fb8_l3.svg" alt="\sqrt[3]{x+1}" title="Rendered by QuickLaTeX.com" height="18" width="55" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\cbrt(x+1)&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-66ca71b118bffeb4855f0d9f21caf4b1_l3.svg" alt="\sqrt[n]{x + 1}" title="Rendered by QuickLaTeX.com" height="18" width="54" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(n&amp;x)&lt;sp&gt;</td></tr></tbody></table><h2>Matrices</h2><p>The basic equation editor shortcut for creating an empty matrix of custom size is \matrix(@@&amp;&amp;&amp;)&lt;sp&gt;. Matrix size decided by number of @ (for rows) and &amp; (for columns). The count of rows and columns is one less than the count of @ and &amp; typed in the equation.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\matrix(@@&amp;)</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(@@&amp;) or (\matrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Vmatrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">[\matrix(1&amp;2&amp;3@4&amp;5&amp;6@7&amp;8&amp;9)]</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(1&amp;2@3&amp;4@5&amp;6)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr></tbody></table><h2>Piece wise function</h2><p>There are two ways to insert a piece-wise function by using the Equation Editor shortcut. First one uses \cases() method while the second one uses \matrix(). In both cases, desired piecewise functions are entered inside the parenthesis.</p><p>Like the matrices, @ is used as a row separator. To get only the opening curly braces ‘{‘ which automatically extends the height of the piecewise function, use \close in place of closing ‘}’.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\cases(x,x&gt;=0@-x,x&lt;0)\close</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">@ is used as row separator and \close is required to ensure opening { expands vertically to cover all cases</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)\close</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">Similar to above, &amp; is used as column separator</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><figure style="display:block;margin:0px auto 1.5em;clear:both;max-width:100%;width:300px;"><figcaption style="display:block;text-align:center;margin:0.8075em 0px;">Piecewise function without \close</figcaption></figure></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">Without \close, opening '{' doesn't expands</td></tr></tbody></table><h2>Integral, Sum and Product</h2><p>Shortcuts for an integral sign, sum, and product signs are \int, \sum, and \prod. You can use _ and ^ for inserting text below and above signs, respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a57a3ed33bdf250a6529aa3f33a24187_l3.svg" alt="\int{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int_x=0^1&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d40501e18e220cc1e8b6063a2d485b7_l3.svg" alt="\int_{x=0}^{1}f(x)dx" title="Rendered by QuickLaTeX.com" height="24" width="91" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">_ for lower limit and ^ for upper limit</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7826efa0e66108ab760448d40b2b405d_l3.svg" alt="\iint{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="77" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\iint for double integral</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint\below(S)&lt;sp&gt;ds</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-94b3b069310efbfc9abf27c1a4e8ce9c_l3.svg" alt="\iint\limits_Sds" title="Rendered by QuickLaTeX.com" height="31" width="41" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \below to put text below symbol</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iiint\above(V)&lt;sp&gt;&lt;sp&gt;dV</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bd2b0ce6c7b4aa0d1dedf3b08eea704a_l3.svg" alt="\overset{V}{\iiint}dV" title="Rendered by QuickLaTeX.com" height="33" width="53" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \above to put text above symbol</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\oint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e9bedf15543cf62392c097f3e3ff194_l3.svg" alt="\oint f(x)dx" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\oint for cyclic integral, similarly use \oiint for cyclic double Sum, integral</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d6766cbca7f85a3fee22b07654b2297e_l3.svg" alt="\sum_{i=1}^n A_i" title="Rendered by QuickLaTeX.com" height="19" width="63" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;\sum for sum symbol and _ &amp; ^ sign for getting text below and above sum. Parenthesis can be used for grouping text with spaces</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\prod_(n=0)^N&lt;sp&gt;x^n&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-43cba1b63505e8d4d788abfbad93b7d5_l3.svg" alt="\prod_{n=0}^N x^n" title="Rendered by QuickLaTeX.com" height="22" width="64" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">Similar to sum.</td></tr></tbody></table></yandex:full-text>
[allow-turbo]<turbo:content><![CDATA[<h2>Enabling Math Autocorrect</h2><p>In most versions of Microsoft Word, Math AutoCorrect is enabled by default. To ensure you can visit, File Menu → Options → Proofing → Autocorrect Options → Math AutoCorrect and ensure "Replace text as you type" is checked. These shortcuts work only inside the Equation Editor. However, to use it outside Equation Editor, “Use Math Autocorrect Rules outside of math regions“ should be checked.</p><h2>Equation Editor Shortcut</h2><p>The shortcut to get the equation editor is “Alt + =”, hold down the Alt key while pressing "=". Moreover, clicking on “Equations” under the “Insert” Tab will result in the same.</p><p>Space is an important part of the Math AutoCorrect shortcut. It invokes the conversion event which translates the typed equation into Mathematical Symbols/Operators. In this article, space is shown as &lt;sp&gt; for clarity.</p><h2>Subscript &amp; Superscript</h2><p>The shortcut for subscript and superscript is _ and ^. Anything after _ or ^ will get converted into subscript or superscript respectively, after hitting space. To include space in subscript or superscript, group them in parenthesis or (). These grouping parentheses don’t appear after Math AutoCorrect. Grouping is also important as it distinguishes between a_i^2 and a_(i^2). To add pre-subscript or pre-superscript, use \zwsp along with _ and ^ sign.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">A_circle&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e1fe9ad59f0277e791ab3cff45d5985a_l3.svg" alt="A_{circle}" title="Rendered by QuickLaTeX.com" height="16" width="47" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-19db2644cdc31d7e9f0115deb1e187cd_l3.svg" alt="r^2" title="Rendered by QuickLaTeX.com" height="15" width="15" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">A_(big circle)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ff7cf36f96f5ae6ffa24a1f452af5a66_l3.svg" alt="A_{big \ circle}" height="18" width="70" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">H^(2 square)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1d0420f01ec9b05e4161be94179df33_l3.svg" alt="H^{2\; square}" title="Rendered by QuickLaTeX.com" height="15" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">r^2_outer&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-4bd3b8040cffec29170493549deffd28_l3.svg" alt="r^2_{outer}" height="19" width="40" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2_(outer circle)</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8367059af14b0b5bdace644ced476d23_l3.svg" alt="r^{2}_{outer\;circle}" title="Rendered by QuickLaTeX.com" height="20" width="78" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fa49c5eb22dc72da192a9cd524333f95_l3.svg" alt="_cR" height="15" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;^c&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d1c32a5a0f0395ffb7248904693d2a92_l3.svg" alt="^cR" height="12" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2944529ff728880658707e96a7f4ebb0_l3.svg" alt="_c^dR" height="19" width="22" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;_e^f&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3d420d047b10b5696022224e31cb2f08_l3.svg" alt="_c^dR_e^f" height="22" width="29" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr></tbody></table><h2>Greek letters</h2><p>Greek letters have 24 alphabets. There are four distinct ways of typing the Greek alphabet in Microsoft Word. Of these, Math AutoCorrect method is the easiest to remember and the fastest of all four. This method of typing Greek letters is as easy as typing its spelling after \ (backslash). To get the lower case Greek Alphabet, type the name of Greek letter after \ in lower case, e.g. \alpha for \alpha, and for the upper use case type the name of Greek letter after \ in Title case, e.g. \Gamma for \Gamma.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Alpha</td><td style="padding:0.5em;border:1px solid transparent;">A</td><td style="padding:0.5em;border:1px solid transparent;">\Alpha</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f44d9bbc8046069be4aa2989bff19aa_l3.svg" alt="\alpha" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\alpha</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Beta</td><td style="padding:0.5em;border:1px solid transparent;">B</td><td style="padding:0.5em;border:1px solid transparent;">\Beta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0f39b655b53423e80558c68b8c2ae1c3_l3.svg" alt="\beta" title="Rendered by QuickLaTeX.com" height="17" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\beta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8b96b68d5ed0c24da53fe469947485be_l3.svg" alt="\Gamma" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b9abe136d2f0d53300727f373cfed43_l3.svg" alt="\gamma" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\gamma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b7305a6cb6d013542b2aa8af4e001985_l3.svg" alt="\Delta" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2efdda5160c474b96fc6cbe01fa602a8_l3.svg" alt="\delta" title="Rendered by QuickLaTeX.com" height="13" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\delta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Epsilon</td><td style="padding:0.5em;border:1px solid transparent;">E</td><td style="padding:0.5em;border:1px solid transparent;">\Epsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1ea683a5e3ac49e12a81be8cd57fe90_l3.svg" alt="\epsilon" title="Rendered by QuickLaTeX.com" height="8" width="7" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\epsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Zeta</td><td style="padding:0.5em;border:1px solid transparent;">Z</td><td style="padding:0.5em;border:1px solid transparent;">\Zeta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-edb4eb32c88cd1decc4b05e9293e5cb8_l3.svg" alt="\zeta" title="Rendered by QuickLaTeX.com" height="16" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zeta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Eta</td><td style="padding:0.5em;border:1px solid transparent;">H</td><td style="padding:0.5em;border:1px solid transparent;">\Eta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3a1c05994216c4908007c94e1429761c_l3.svg" alt="\eta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\eta</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-309d1e9dc1d3a46c23ed1f6d2449b454_l3.svg" alt="\Theta" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b2034939b850e3311120fca462ab64e_l3.svg" alt="\theta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\theta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Iota</td><td style="padding:0.5em;border:1px solid transparent;">I</td><td style="padding:0.5em;border:1px solid transparent;">\Iota</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-6d58de4e0945610b2fe67a58470fb332_l3.svg" alt="\iota" title="Rendered by QuickLaTeX.com" height="8" width="6" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\iota</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Kappa</td><td style="padding:0.5em;border:1px solid transparent;">K</td><td style="padding:0.5em;border:1px solid transparent;">\Kappa</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7bfab7d13cf77095ae70c88ea1af4573_l3.svg" alt="\kappa" title="Rendered by QuickLaTeX.com" height="9" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\kappa</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-119e4aebdfd81fce23b44962f9453fb7_l3.svg" alt="\Lambda" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.svg" alt="\lambda" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\lambda</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Mu</td><td style="padding:0.5em;border:1px solid transparent;">M</td><td style="padding:0.5em;border:1px solid transparent;">\Mu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.svg" alt="\mu" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\mu</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Nu</td><td style="padding:0.5em;border:1px solid transparent;">N</td><td style="padding:0.5em;border:1px solid transparent;">\Nu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5376f6867c11bfe62d1de72e3207e7cd_l3.svg" alt="\nu" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\nu</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e2b843feb1342ba974a132df2353c69_l3.svg" alt="\Xi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bcc5fdc81ba669dd58972d7f51a329ed_l3.svg" alt="\xi" title="Rendered by QuickLaTeX.com" height="16" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\xi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-722d20af6ac515fbc6d48bc6bb3b04c0_l3.svg" alt="\Pi" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ed7678864de5d2f3ff6739ada3fd00e9_l3.svg" alt="\pi" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\pi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Rho</td><td style="padding:0.5em;border:1px solid transparent;">P</td><td style="padding:0.5em;border:1px solid transparent;">\Rho</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e8e197a6f1572ae9b5a16039ea626388_l3.svg" alt="\rho" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\rho</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-61c579204d57adaac69cd9e5e6496848_l3.svg" alt="\Sigma" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.svg" alt="\sigma" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sigma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Tau</td><td style="padding:0.5em;border:1px solid transparent;">T</td><td style="padding:0.5em;border:1px solid transparent;">\Tau</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2d0f4e922bf6aa03f0b4a3128b5a72d5_l3.svg" alt="\tau" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\tau</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1ac6611308d29423569381bbc50734c2_l3.svg" alt="\Upsilon" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2fdd1626ad989941e9b69a05e8a7dc72_l3.svg" alt="\upsilon" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\upsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-21f36758b04341c7980aa18b13ced720_l3.svg" alt="\Phi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8358131e7f71b02f5a1b767b67603090_l3.svg" alt="\phi" title="Rendered by QuickLaTeX.com" height="16" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\phi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Chi</td><td style="padding:0.5em;border:1px solid transparent;">X</td><td style="padding:0.5em;border:1px solid transparent;">\Chi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-9177a67bb040b302b5580488d7d3bbfd_l3.svg" alt="\chi" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\chi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.svg" alt="\Psi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f45c7ef1c89e682fa4644c04dbd0e63e_l3.svg" alt="\psi" title="Rendered by QuickLaTeX.com" height="16" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\psi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aec5209436746bf1698d314cb55e66a0_l3.svg" alt="\Omega" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.svg" alt="\omega" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\omega</td></tr></tbody></table><h2>Scientific and Mathematical Symbols</h2><p>Equation editor shortcut for scientific and mathematical symbols like infinity, different arrows, operators (like partial, del, and nabla), conditional symbols, dot, cross, maps to, perpendicular, set symbols, for all, equivalent, congruent, angle, proportional, etc are given in the following table.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Infinity</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∞</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\infty</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Hbar</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">ℏ</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\hbar</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Right Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">→</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\rightarrow, -&gt;</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Left Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">←</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Up Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">North-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↗</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\nearrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">North-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↖</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\nwarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">South-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↘</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\searrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">South-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↙</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\swarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Left Right arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↔</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\leftrightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Up Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↕</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\updownarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Rightwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇒</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Rightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Leftwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇐</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Upwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Downwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\Downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Nabla</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">∇</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\nabla</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Less Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">≤</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\le</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Greater Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">≥</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\ge</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Double Less Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">≪</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">\ll</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Double Greater Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">≫</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\gg</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 × 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \times b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Tensor Product or O Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑓(𝑡) ⊗ 𝑔(𝑡)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">f(t)\otimes g(t)</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋅ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\cdot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊙ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\odot b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">O Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑥 ⊕ y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">x\oplus y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑥 ⊖ 𝑦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\ominus y</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Maps To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ↦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\mapsto b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Right Arrow with Hook</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">↪</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\hookrightarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 … 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\dots b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Center dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⋯ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\cdots b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Perpendicular</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⊥ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \bot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;"><br></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊤ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a \top b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Intersection</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⋂𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigcap B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Union</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⋃𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \bigcup B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Big Square Cup</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⨆𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigsqcup B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Big U with Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⨄𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \biguplus B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Star</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋆ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \star b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">For All</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">∀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\forall</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">In</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∈</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\in</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Exists</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∃</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\exists</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Big Wedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bigwedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Big Ve</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">⋁</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\bigvee</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≡</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Congruent</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\cong</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Not Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\ne</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Approximately Equal</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\approx</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Similar</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∼</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\sim</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Similar To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≃</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\simeq</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Natural Joint of Bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Box</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">□</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\box</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⊂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Empty Set</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\emptyset</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∴</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Because</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\because</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Plus or minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">±</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\pm or +-</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Minus or plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\mp</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Proportional To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∝</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\proto</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.0321%;">Degree C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.4055%;">22 °C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:66.6201%;">22 \degc</td></tr></tbody></table><h2>Accent</h2><p>The accent-like bars are used for various reasons, e.g. dot for denoting derivative. We can easily achieve these using the following word shortcuts.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 1.5em 0px;width:51%;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.svg" alt="\overline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\bar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-743f7b1cb1194e56eb74bfe40d0aa9e5_l3.svg" alt="\overline{\overline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\Bar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3ee2e6e6844b4a100e49e14089f92034_l3.svg" alt="\underline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ubar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b39e86c8da116e601b729b86b4d90a7_l3.svg" alt="\underline{\underline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\uBar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Acute</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-98891bb048840e4fc185c622fac2ee75_l3.svg" alt="\acute{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\acute&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Grave</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-406febd0f82bcd1e0da93cffcc072fcc_l3.svg" alt="\grave{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\grave&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Vector</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aee90824c3f4c140da7b40a5cc281ca6_l3.svg" alt="\vec{x}" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\vec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Hat</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e5513e3ac9959bd826718264e246ddf_l3.svg" alt="\hat{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\hat&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left-right arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-72b4ddd1d30af721b256f825be327832_l3.svg" alt="\overleftrightarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="21" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-17165ef481acdd699f002eb63285af66_l3.svg" alt="\overset{\leftharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lhvec&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Right harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e7e31740376d7eca04be4734642bfa37_l3.svg" alt="\overset{\rightharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\rhvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d9301ea14d65419aa6cd1cd69c035b1_l3.svg" alt="\dot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-39fcaefdf9d9f0a5e8892288beb59275_l3.svg" alt="\ddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Triple dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-926ad3bb610f6325bfd3f5aa55c2d0a9_l3.svg" alt="\dddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dddot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Four dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7cff94589d45fba2823218a8ec0a3803_l3.svg" alt="\overset{....}{x}" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Breve</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-38230ed45c7e2ffe9643ecdd75eebc5a_l3.svg" alt="\breve{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\breve&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Check</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e2d0a759ff6c473eaeed2729b301978_l3.svg" alt="\check{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\check&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Tilde</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-79a72178ca9d410fe5feec93feba8d33_l3.svg" alt="\tilde{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tilde&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f98b666787d84f2a5d514b111465ea1_l3.svg" alt="\overleftarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="17" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lvec&lt;sp&gt;</td></tr></tbody></table><h2>Grouping and brackets</h2><p>The equation editor causes brackets such as [], {}, and () to grow and fit the size of expression within them. However, the parenthesis used for grouping is not displayed in the final formatted expression. Albeit, the parenthesis which is required to be displayed, must be doubled. One for grouping which will vanish in the final formatted expression, and the other for display. Escape sequence (\ followed by the desired bracket is used to prevent the bracket from being reformatted.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-781948d77a4e0bca381b0e17be038c07_l3.svg" alt="\frac{a}{y}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">x/y</td><td style="padding:0.5em;border:1px solid transparent;">/ is used for fraction</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1d322bc4ca3e458bcdecd2b103f35c2d_l3.svg" alt="\left[\frac{x}{y} \right ]" title="Rendered by QuickLaTeX.com" height="32" width="22" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[x/y]</td><td style="padding:0.5em;border:1px solid transparent;">[] bracket automatically expands to adjust the fraction</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5a065be30298b900c3053e5b61d3ef20_l3.svg" alt="\left{\frac{x}{y} \right}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">{x/y}</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-268251de04d54c84fb61fe5c0edc0389_l3.svg" alt="\left(\frac{x}{y} \right )" title="Rendered by QuickLaTeX.com" height="32" width="27" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">(x/y)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses are displayed as they are not used for grouping</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-92ec4d24346ffa45ad3037778a28a646_l3.svg" alt="\frac{a}{p+q}" title="Rendered by QuickLaTeX.com" height="22" width="26" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/(p+q)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) are not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d0c9fd68c8a85b287df9b8ba77a038a2_l3.svg" alt="\frac{a}{\left(p+q \right )}" title="Rendered by QuickLaTeX.com" height="23" width="35" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/((p+q))</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) is not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-c9feaf255ee0380933b837f7520af776_l3.svg" alt="[_a^b y" title="Rendered by QuickLaTeX.com" height="20" width="20" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[ a\atop b \close y</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b8ef3aba6d975da2915382d159f87466_l3.svg" alt="\left|\frac{p|q|r}{c+d}\right|" title="Rendered by QuickLaTeX.com" height="33" width="40" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|(p|q|r)/(c+d)|</td><td style="padding:0.5em;border:1px solid transparent;">Again parentheses used for grouping are not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d90d918958fa6dc88f2a174400eec535_l3.svg" alt="|a|b\left|\frac{x}{a+b}\right|" title="Rendered by QuickLaTeX.com" height="33" width="65" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|a|b|x/(a+b)</td><td style="padding:0.5em;border:1px solid transparent;">Grouping parentheses not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b69a11b4379a5a7eb6464cd1572d870_l3.svg" alt="||a||" title="Rendered by QuickLaTeX.com" height="19" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\norm a \norm</td></tr></tbody></table><h2>Roots</h2><p>Equation editor shortcut for square root, cube root and higher roots are \sqrt(), \cbrt() and \sqrt(n&amp;x) respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2a73badef00b3aa80c19d28a15031f0d_l3.svg" alt="\sqrt{x}" title="Rendered by QuickLaTeX.com" height="18" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(x)&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a00f22f2e01abf18bbcfc30b206b8fb8_l3.svg" alt="\sqrt[3]{x+1}" title="Rendered by QuickLaTeX.com" height="18" width="55" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\cbrt(x+1)&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-66ca71b118bffeb4855f0d9f21caf4b1_l3.svg" alt="\sqrt[n]{x + 1}" title="Rendered by QuickLaTeX.com" height="18" width="54" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(n&amp;x)&lt;sp&gt;</td></tr></tbody></table><h2>Matrices</h2><p>The basic equation editor shortcut for creating an empty matrix of custom size is \matrix(@@&amp;&amp;&amp;)&lt;sp&gt;. Matrix size decided by number of @ (for rows) and &amp; (for columns). The count of rows and columns is one less than the count of @ and &amp; typed in the equation.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\matrix(@@&amp;)</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(@@&amp;) or (\matrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Vmatrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">[\matrix(1&amp;2&amp;3@4&amp;5&amp;6@7&amp;8&amp;9)]</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(1&amp;2@3&amp;4@5&amp;6)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr></tbody></table><h2>Piece wise function</h2><p>There are two ways to insert a piece-wise function by using the Equation Editor shortcut. First one uses \cases() method while the second one uses \matrix(). In both cases, desired piecewise functions are entered inside the parenthesis.</p><p>Like the matrices, @ is used as a row separator. To get only the opening curly braces ‘{‘ which automatically extends the height of the piecewise function, use \close in place of closing ‘}’.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\cases(x,x&gt;=0@-x,x&lt;0)\close</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">@ is used as row separator and \close is required to ensure opening { expands vertically to cover all cases</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)\close</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">Similar to above, &amp; is used as column separator</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><figure style="display:block;margin:0px auto 1.5em;clear:both;max-width:100%;width:300px;"><figcaption style="display:block;text-align:center;margin:0.8075em 0px;">Piecewise function without \close</figcaption></figure></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">Without \close, opening '{' doesn't expands</td></tr></tbody></table><h2>Integral, Sum and Product</h2><p>Shortcuts for an integral sign, sum, and product signs are \int, \sum, and \prod. You can use _ and ^ for inserting text below and above signs, respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a57a3ed33bdf250a6529aa3f33a24187_l3.svg" alt="\int{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int_x=0^1&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d40501e18e220cc1e8b6063a2d485b7_l3.svg" alt="\int_{x=0}^{1}f(x)dx" title="Rendered by QuickLaTeX.com" height="24" width="91" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">_ for lower limit and ^ for upper limit</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7826efa0e66108ab760448d40b2b405d_l3.svg" alt="\iint{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="77" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\iint for double integral</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint\below(S)&lt;sp&gt;ds</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-94b3b069310efbfc9abf27c1a4e8ce9c_l3.svg" alt="\iint\limits_Sds" title="Rendered by QuickLaTeX.com" height="31" width="41" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \below to put text below symbol</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iiint\above(V)&lt;sp&gt;&lt;sp&gt;dV</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bd2b0ce6c7b4aa0d1dedf3b08eea704a_l3.svg" alt="\overset{V}{\iiint}dV" title="Rendered by QuickLaTeX.com" height="33" width="53" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \above to put text above symbol</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\oint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e9bedf15543cf62392c097f3e3ff194_l3.svg" alt="\oint f(x)dx" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\oint for cyclic integral, similarly use \oiint for cyclic double Sum, integral</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d6766cbca7f85a3fee22b07654b2297e_l3.svg" alt="\sum_{i=1}^n A_i" title="Rendered by QuickLaTeX.com" height="19" width="63" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;\sum for sum symbol and _ &amp; ^ sign for getting text below and above sum. Parenthesis can be used for grouping text with spaces</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\prod_(n=0)^N&lt;sp&gt;x^n&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-43cba1b63505e8d4d788abfbad93b7d5_l3.svg" alt="\prod_{n=0}^N x^n" title="Rendered by QuickLaTeX.com" height="22" width="64" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">Similar to sum.</td></tr></tbody></table>]]></turbo:content>[/allow-turbo]
[allow-dzen]<content:encoded><![CDATA[<h2>Enabling Math Autocorrect</h2><p>In most versions of Microsoft Word, Math AutoCorrect is enabled by default. To ensure you can visit, File Menu → Options → Proofing → Autocorrect Options → Math AutoCorrect and ensure "Replace text as you type" is checked. These shortcuts work only inside the Equation Editor. However, to use it outside Equation Editor, “Use Math Autocorrect Rules outside of math regions“ should be checked.</p><h2>Equation Editor Shortcut</h2><p>The shortcut to get the equation editor is “Alt + =”, hold down the Alt key while pressing "=". Moreover, clicking on “Equations” under the “Insert” Tab will result in the same.</p><p>Space is an important part of the Math AutoCorrect shortcut. It invokes the conversion event which translates the typed equation into Mathematical Symbols/Operators. In this article, space is shown as &lt;sp&gt; for clarity.</p><h2>Subscript &amp; Superscript</h2><p>The shortcut for subscript and superscript is _ and ^. Anything after _ or ^ will get converted into subscript or superscript respectively, after hitting space. To include space in subscript or superscript, group them in parenthesis or (). These grouping parentheses don’t appear after Math AutoCorrect. Grouping is also important as it distinguishes between a_i^2 and a_(i^2). To add pre-subscript or pre-superscript, use \zwsp along with _ and ^ sign.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">A_circle&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e1fe9ad59f0277e791ab3cff45d5985a_l3.svg" alt="A_{circle}" title="Rendered by QuickLaTeX.com" height="16" width="47" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-19db2644cdc31d7e9f0115deb1e187cd_l3.svg" alt="r^2" title="Rendered by QuickLaTeX.com" height="15" width="15" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">A_(big circle)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ff7cf36f96f5ae6ffa24a1f452af5a66_l3.svg" alt="A_{big \ circle}" height="18" width="70" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">H^(2 square)&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1d0420f01ec9b05e4161be94179df33_l3.svg" alt="H^{2\; square}" title="Rendered by QuickLaTeX.com" height="15" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">r^2_outer&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-4bd3b8040cffec29170493549deffd28_l3.svg" alt="r^2_{outer}" height="19" width="40" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">r^2_(outer circle)</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8367059af14b0b5bdace644ced476d23_l3.svg" alt="r^{2}_{outer\;circle}" title="Rendered by QuickLaTeX.com" height="20" width="78" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fa49c5eb22dc72da192a9cd524333f95_l3.svg" alt="_cR" height="15" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;^c&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d1c32a5a0f0395ffb7248904693d2a92_l3.svg" alt="^cR" height="12" width="21" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;R</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2944529ff728880658707e96a7f4ebb0_l3.svg" alt="_c^dR" height="19" width="22" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zwsp&lt;sp&gt;_c^d&lt;sp&gt;_e^f&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3d420d047b10b5696022224e31cb2f08_l3.svg" alt="_c^dR_e^f" height="22" width="29" style="border:0px;height:auto;max-width:100%;" class="fr-fic fr-dii"></td></tr></tbody></table><h2>Greek letters</h2><p>Greek letters have 24 alphabets. There are four distinct ways of typing the Greek alphabet in Microsoft Word. Of these, Math AutoCorrect method is the easiest to remember and the fastest of all four. This method of typing Greek letters is as easy as typing its spelling after \ (backslash). To get the lower case Greek Alphabet, type the name of Greek letter after \ in lower case, e.g. \alpha for \alpha, and for the upper use case type the name of Greek letter after \ in Title case, e.g. \Gamma for \Gamma.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Alpha</td><td style="padding:0.5em;border:1px solid transparent;">A</td><td style="padding:0.5em;border:1px solid transparent;">\Alpha</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f44d9bbc8046069be4aa2989bff19aa_l3.svg" alt="\alpha" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\alpha</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Beta</td><td style="padding:0.5em;border:1px solid transparent;">B</td><td style="padding:0.5em;border:1px solid transparent;">\Beta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0f39b655b53423e80558c68b8c2ae1c3_l3.svg" alt="\beta" title="Rendered by QuickLaTeX.com" height="17" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\beta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8b96b68d5ed0c24da53fe469947485be_l3.svg" alt="\Gamma" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Gamma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b9abe136d2f0d53300727f373cfed43_l3.svg" alt="\gamma" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\gamma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b7305a6cb6d013542b2aa8af4e001985_l3.svg" alt="\Delta" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Delta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2efdda5160c474b96fc6cbe01fa602a8_l3.svg" alt="\delta" title="Rendered by QuickLaTeX.com" height="13" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\delta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Epsilon</td><td style="padding:0.5em;border:1px solid transparent;">E</td><td style="padding:0.5em;border:1px solid transparent;">\Epsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f1ea683a5e3ac49e12a81be8cd57fe90_l3.svg" alt="\epsilon" title="Rendered by QuickLaTeX.com" height="8" width="7" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\epsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Zeta</td><td style="padding:0.5em;border:1px solid transparent;">Z</td><td style="padding:0.5em;border:1px solid transparent;">\Zeta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-edb4eb32c88cd1decc4b05e9293e5cb8_l3.svg" alt="\zeta" title="Rendered by QuickLaTeX.com" height="16" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\zeta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Eta</td><td style="padding:0.5em;border:1px solid transparent;">H</td><td style="padding:0.5em;border:1px solid transparent;">\Eta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3a1c05994216c4908007c94e1429761c_l3.svg" alt="\eta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\eta</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-309d1e9dc1d3a46c23ed1f6d2449b454_l3.svg" alt="\Theta" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Theta</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7b2034939b850e3311120fca462ab64e_l3.svg" alt="\theta" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\theta</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Iota</td><td style="padding:0.5em;border:1px solid transparent;">I</td><td style="padding:0.5em;border:1px solid transparent;">\Iota</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-6d58de4e0945610b2fe67a58470fb332_l3.svg" alt="\iota" title="Rendered by QuickLaTeX.com" height="8" width="6" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\iota</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Kappa</td><td style="padding:0.5em;border:1px solid transparent;">K</td><td style="padding:0.5em;border:1px solid transparent;">\Kappa</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7bfab7d13cf77095ae70c88ea1af4573_l3.svg" alt="\kappa" title="Rendered by QuickLaTeX.com" height="9" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\kappa</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-119e4aebdfd81fce23b44962f9453fb7_l3.svg" alt="\Lambda" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Lambda</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.svg" alt="\lambda" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\lambda</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Mu</td><td style="padding:0.5em;border:1px solid transparent;">M</td><td style="padding:0.5em;border:1px solid transparent;">\Mu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.svg" alt="\mu" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\mu</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Nu</td><td style="padding:0.5em;border:1px solid transparent;">N</td><td style="padding:0.5em;border:1px solid transparent;">\Nu</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5376f6867c11bfe62d1de72e3207e7cd_l3.svg" alt="\nu" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\nu</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e2b843feb1342ba974a132df2353c69_l3.svg" alt="\Xi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Xi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bcc5fdc81ba669dd58972d7f51a329ed_l3.svg" alt="\xi" title="Rendered by QuickLaTeX.com" height="16" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\xi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-722d20af6ac515fbc6d48bc6bb3b04c0_l3.svg" alt="\Pi" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Pi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-ed7678864de5d2f3ff6739ada3fd00e9_l3.svg" alt="\pi" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\pi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Rho</td><td style="padding:0.5em;border:1px solid transparent;">P</td><td style="padding:0.5em;border:1px solid transparent;">\Rho</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e8e197a6f1572ae9b5a16039ea626388_l3.svg" alt="\rho" title="Rendered by QuickLaTeX.com" height="12" width="9" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\rho</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-61c579204d57adaac69cd9e5e6496848_l3.svg" alt="\Sigma" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Sigma</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.svg" alt="\sigma" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sigma</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Tau</td><td style="padding:0.5em;border:1px solid transparent;">T</td><td style="padding:0.5em;border:1px solid transparent;">\Tau</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2d0f4e922bf6aa03f0b4a3128b5a72d5_l3.svg" alt="\tau" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\tau</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1ac6611308d29423569381bbc50734c2_l3.svg" alt="\Upsilon" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Upsilon</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2fdd1626ad989941e9b69a05e8a7dc72_l3.svg" alt="\upsilon" title="Rendered by QuickLaTeX.com" height="8" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\upsilon</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-21f36758b04341c7980aa18b13ced720_l3.svg" alt="\Phi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Phi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8358131e7f71b02f5a1b767b67603090_l3.svg" alt="\phi" title="Rendered by QuickLaTeX.com" height="16" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\phi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Chi</td><td style="padding:0.5em;border:1px solid transparent;">X</td><td style="padding:0.5em;border:1px solid transparent;">\Chi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-9177a67bb040b302b5580488d7d3bbfd_l3.svg" alt="\chi" title="Rendered by QuickLaTeX.com" height="12" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\chi</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;">Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.svg" alt="\Psi" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Psi</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-f45c7ef1c89e682fa4644c04dbd0e63e_l3.svg" alt="\psi" title="Rendered by QuickLaTeX.com" height="16" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\psi</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;">Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aec5209436746bf1698d314cb55e66a0_l3.svg" alt="\Omega" title="Rendered by QuickLaTeX.com" height="12" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\Omega</td><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.svg" alt="\omega" title="Rendered by QuickLaTeX.com" height="8" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\omega</td></tr></tbody></table><h2>Scientific and Mathematical Symbols</h2><p>Equation editor shortcut for scientific and mathematical symbols like infinity, different arrows, operators (like partial, del, and nabla), conditional symbols, dot, cross, maps to, perpendicular, set symbols, for all, equivalent, congruent, angle, proportional, etc are given in the following table.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Infinity</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∞</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\infty</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Hbar</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">ℏ</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\hbar</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Right Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">→</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\rightarrow, -&gt;</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Left Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">←</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Up Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">North-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↗</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\nearrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">North-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↖</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\nwarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">South-east Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↘</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\searrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">South-west Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↙</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\swarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Left Right arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">↔</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\leftrightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Up Down Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">↕</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\updownarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Rightwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇒</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Rightarrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Leftwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇐</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Leftarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Upwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">⇑</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\Uparrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Downwards Double Arrow</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">⇓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\Downarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">∂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\partial</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Nabla</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">∇</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\nabla</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.5754%;">Less Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.1988%;">≤</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.0642%;">\le</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.2179%;">Greater Than Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.2739%;">≥</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\ge</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Double Less Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">≪</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">\ll</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Double Greater Than</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">≫</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\gg</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 × 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \times b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Tensor Product or O Times</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑓(𝑡) ⊗ 𝑔(𝑡)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">f(t)\otimes g(t)</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋅ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\cdot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Dot</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊙ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\odot b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">O Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑥 ⊕ y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">x\oplus y</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">O Minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑥 ⊖ 𝑦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\ominus y</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Maps To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ↦</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\mapsto b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Right Arrow with Hook</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">↪</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\hookrightarrow</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 … 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a\dots b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Center dots</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⋯ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a\cdots b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Perpendicular</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⊥ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \bot b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;"><br></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝑎 ⊤ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">a \top b</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Intersection</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⋂𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigcap B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Union</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⋃𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \bigcup B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Big Square Cup</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝐴⨆𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">A\bigsqcup B</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">Big U with Plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">𝐴⨄𝐵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">A \biguplus B</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.1203%;">Star</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.718%;">𝑎 ⋆ 𝑏</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.7693%;">a \star b</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:26.0706%;">For All</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.5704%;">∀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3301%;">\forall</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">In</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∈</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\in</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Exists</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∃</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\exists</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Big Wedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋀</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bigwedge</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Big Ve</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">⋁</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\bigvee</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≡</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\equiv</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Congruent</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\cong</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Not Equal To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">≠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\ne</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Approximately Equal</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\approx</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Similar</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∼</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\sim</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Similar To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">≃</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\simeq</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Natural Joint of Bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⋈</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\bowtie</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Box</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">□</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\box</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">⊂</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\subset</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Empty Set</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∅</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\emptyset</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∴</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\therefore</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Because</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∵</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\because</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Plus or minus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">±</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\pm or +-</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Minus or plus</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∓</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\mp</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.7885%;">Angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:8.5369%;">∠</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:15.3847%;">\angle</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:25.6427%;">Proportional To</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.6106%;">∝</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;vertical-align:top;float:none;width:16.0304%;">\proto</td></tr></tbody></table><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:24.0321%;">Degree C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:9.4055%;">22 °C</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;vertical-align:top;float:none;width:66.6201%;">22 \degc</td></tr></tbody></table><h2>Accent</h2><p>The accent-like bars are used for various reasons, e.g. dot for denoting derivative. We can easily achieve these using the following word shortcuts.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 1.5em 0px;width:51%;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.svg" alt="\overline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\bar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-743f7b1cb1194e56eb74bfe40d0aa9e5_l3.svg" alt="\overline{\overline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\Bar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-3ee2e6e6844b4a100e49e14089f92034_l3.svg" alt="\underline{x}" title="Rendered by QuickLaTeX.com" height="11" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ubar&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double under bar</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b39e86c8da116e601b729b86b4d90a7_l3.svg" alt="\underline{\underline{x}}" title="Rendered by QuickLaTeX.com" height="14" width="11" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\uBar&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Acute</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-98891bb048840e4fc185c622fac2ee75_l3.svg" alt="\acute{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\acute&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Grave</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-406febd0f82bcd1e0da93cffcc072fcc_l3.svg" alt="\grave{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\grave&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Vector</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-aee90824c3f4c140da7b40a5cc281ca6_l3.svg" alt="\vec{x}" title="Rendered by QuickLaTeX.com" height="13" width="12" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\vec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Hat</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0e5513e3ac9959bd826718264e246ddf_l3.svg" alt="\hat{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\hat&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left-right arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-72b4ddd1d30af721b256f825be327832_l3.svg" alt="\overleftrightarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="21" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-17165ef481acdd699f002eb63285af66_l3.svg" alt="\overset{\leftharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lhvec&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Right harpoon</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-e7e31740376d7eca04be4734642bfa37_l3.svg" alt="\overset{\rightharpoonup}{x}" title="Rendered by QuickLaTeX.com" height="18" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\rhvec&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d9301ea14d65419aa6cd1cd69c035b1_l3.svg" alt="\dot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Double dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-39fcaefdf9d9f0a5e8892288beb59275_l3.svg" alt="\ddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Triple dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-926ad3bb610f6325bfd3f5aa55c2d0a9_l3.svg" alt="\dddot{x}" title="Rendered by QuickLaTeX.com" height="12" width="13" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\dddot&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Four dot</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7cff94589d45fba2823218a8ec0a3803_l3.svg" alt="\overset{....}{x}" title="Rendered by QuickLaTeX.com" height="13" width="14" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\ddddot&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Breve</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-38230ed45c7e2ffe9643ecdd75eebc5a_l3.svg" alt="\breve{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\breve&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Check</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e2d0a759ff6c473eaeed2729b301978_l3.svg" alt="\check{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\check&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Tilde</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-79a72178ca9d410fe5feec93feba8d33_l3.svg" alt="\tilde{x}" title="Rendered by QuickLaTeX.com" height="12" width="10" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\tilde&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:40.4373%;">Left arrow</td><td style="padding:0.5em;border:1px solid transparent;width:27.4947%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5f98b666787d84f2a5d514b111465ea1_l3.svg" alt="\overleftarrow{x}" title="Rendered by QuickLaTeX.com" height="17" width="17" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:31.7328%;">x\lvec&lt;sp&gt;</td></tr></tbody></table><h2>Grouping and brackets</h2><p>The equation editor causes brackets such as [], {}, and () to grow and fit the size of expression within them. However, the parenthesis used for grouping is not displayed in the final formatted expression. Albeit, the parenthesis which is required to be displayed, must be doubled. One for grouping which will vanish in the final formatted expression, and the other for display. Escape sequence (\ followed by the desired bracket is used to prevent the bracket from being reformatted.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-781948d77a4e0bca381b0e17be038c07_l3.svg" alt="\frac{a}{y}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">x/y</td><td style="padding:0.5em;border:1px solid transparent;">/ is used for fraction</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-1d322bc4ca3e458bcdecd2b103f35c2d_l3.svg" alt="\left[\frac{x}{y} \right ]" title="Rendered by QuickLaTeX.com" height="32" width="22" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[x/y]</td><td style="padding:0.5em;border:1px solid transparent;">[] bracket automatically expands to adjust the fraction</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-5a065be30298b900c3053e5b61d3ef20_l3.svg" alt="\left{\frac{x}{y} \right}" title="Rendered by QuickLaTeX.com" height="22" width="8" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">{x/y}</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-268251de04d54c84fb61fe5c0edc0389_l3.svg" alt="\left(\frac{x}{y} \right )" title="Rendered by QuickLaTeX.com" height="32" width="27" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">(x/y)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses are displayed as they are not used for grouping</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-92ec4d24346ffa45ad3037778a28a646_l3.svg" alt="\frac{a}{p+q}" title="Rendered by QuickLaTeX.com" height="22" width="26" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/(p+q)</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) are not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d0c9fd68c8a85b287df9b8ba77a038a2_l3.svg" alt="\frac{a}{\left(p+q \right )}" title="Rendered by QuickLaTeX.com" height="23" width="35" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">a/((p+q))</td><td style="padding:0.5em;border:1px solid transparent;">Parentheses used for grouping (denominator here) is not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-c9feaf255ee0380933b837f7520af776_l3.svg" alt="[_a^b y" title="Rendered by QuickLaTeX.com" height="20" width="20" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">[ a\atop b \close y</td><td style="padding:0.5em;border:1px solid transparent;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-b8ef3aba6d975da2915382d159f87466_l3.svg" alt="\left|\frac{p|q|r}{c+d}\right|" title="Rendered by QuickLaTeX.com" height="33" width="40" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|(p|q|r)/(c+d)|</td><td style="padding:0.5em;border:1px solid transparent;">Again parentheses used for grouping are not displayed</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d90d918958fa6dc88f2a174400eec535_l3.svg" alt="|a|b\left|\frac{x}{a+b}\right|" title="Rendered by QuickLaTeX.com" height="33" width="65" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">|a|b|x/(a+b)</td><td style="padding:0.5em;border:1px solid transparent;">Grouping parentheses not displayed</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-0b69a11b4379a5a7eb6464cd1572d870_l3.svg" alt="||a||" title="Rendered by QuickLaTeX.com" height="19" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\norm a \norm</td></tr></tbody></table><h2>Roots</h2><p>Equation editor shortcut for square root, cube root and higher roots are \sqrt(), \cbrt() and \sqrt(n&amp;x) respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-2a73badef00b3aa80c19d28a15031f0d_l3.svg" alt="\sqrt{x}" title="Rendered by QuickLaTeX.com" height="18" width="25" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(x)&lt;sp&gt;</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a00f22f2e01abf18bbcfc30b206b8fb8_l3.svg" alt="\sqrt[3]{x+1}" title="Rendered by QuickLaTeX.com" height="18" width="55" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\cbrt(x+1)&lt;sp&gt;</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-66ca71b118bffeb4855f0d9f21caf4b1_l3.svg" alt="\sqrt[n]{x + 1}" title="Rendered by QuickLaTeX.com" height="18" width="54" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;">\sqrt(n&amp;x)&lt;sp&gt;</td></tr></tbody></table><h2>Matrices</h2><p>The basic equation editor shortcut for creating an empty matrix of custom size is \matrix(@@&amp;&amp;&amp;)&lt;sp&gt;. Matrix size decided by number of @ (for rows) and &amp; (for columns). The count of rows and columns is one less than the count of @ and &amp; typed in the equation.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\matrix(@@&amp;)</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(@@&amp;) or (\matrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"><br></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">\Vmatrix(@@&amp;)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;">[\matrix(1&amp;2&amp;3@4&amp;5&amp;6@7&amp;8&amp;9)]</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(249,249,249) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">\pmatrix(1&amp;2@3&amp;4@5&amp;6)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td></tr></tbody></table><h2>Piece wise function</h2><p>There are two ways to insert a piece-wise function by using the Equation Editor shortcut. First one uses \cases() method while the second one uses \matrix(). In both cases, desired piecewise functions are entered inside the parenthesis.</p><p>Like the matrices, @ is used as a row separator. To get only the opening curly braces ‘{‘ which automatically extends the height of the piecewise function, use \close in place of closing ‘}’.</p><table role="grid" style="border-collapse:collapse;border-spacing:0px;margin:0px;width:780px;border:none;clear:both;color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\cases(x,x&gt;=0@-x,x&lt;0)\close</td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:0px;border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">@ is used as row separator and \close is required to ensure opening { expands vertically to cover all cases</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)\close</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;"></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(243,243,243) 0px 0px;text-align:left;float:none;vertical-align:top;">Similar to above, &amp; is used as column separator</td></tr><tr><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">f(x) = {\matrix(x &amp; x&gt;=0@-x &amp; x&lt;0)</td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;"><figure style="display:block;margin:0px auto 1.5em;clear:both;max-width:100%;width:300px;"><figcaption style="display:block;text-align:center;margin:0.8075em 0px;">Piecewise function without \close</figcaption></figure></td><td style="padding:8px;border-top:1px solid rgb(221,221,221);border-right:none;border-bottom:none;border-left:none;background:rgb(255,255,255) 0px 0px;text-align:left;float:none;vertical-align:top;">Without \close, opening '{' doesn't expands</td></tr></tbody></table><h2>Integral, Sum and Product</h2><p>Shortcuts for an integral sign, sum, and product signs are \int, \sum, and \prod. You can use _ and ^ for inserting text below and above signs, respectively.</p><table style="border-collapse:collapse;border-spacing:0px;margin:0px 0px 1.5em;width:780px;border:1px solid rgb(221,221,221);color:rgb(85,85,85);font-family:Raleway;font-size:17px;font-style:normal;font-weight:400;letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);"><tbody><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-a57a3ed33bdf250a6529aa3f33a24187_l3.svg" alt="\int{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;"><br></td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\int_x=0^1&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7d40501e18e220cc1e8b6063a2d485b7_l3.svg" alt="\int_{x=0}^{1}f(x)dx" title="Rendered by QuickLaTeX.com" height="24" width="91" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">_ for lower limit and ^ for upper limit</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-7826efa0e66108ab760448d40b2b405d_l3.svg" alt="\iint{f(x)dx}" title="Rendered by QuickLaTeX.com" height="20" width="77" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\iint for double integral</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iint\below(S)&lt;sp&gt;ds</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-94b3b069310efbfc9abf27c1a4e8ce9c_l3.svg" alt="\iint\limits_Sds" title="Rendered by QuickLaTeX.com" height="31" width="41" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \below to put text below symbol</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\iiint\above(V)&lt;sp&gt;&lt;sp&gt;dV</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-bd2b0ce6c7b4aa0d1dedf3b08eea704a_l3.svg" alt="\overset{V}{\iiint}dV" title="Rendered by QuickLaTeX.com" height="33" width="53" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">use \above to put text above symbol</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\oint&lt;sp&gt;f(x)dx</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-8e9bedf15543cf62392c097f3e3ff194_l3.svg" alt="\oint f(x)dx" title="Rendered by QuickLaTeX.com" height="20" width="68" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\oint for cyclic integral, similarly use \oiint for cyclic double Sum, integral</td></tr><tr style="background-color:rgb(240,240,240);"><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-d6766cbca7f85a3fee22b07654b2297e_l3.svg" alt="\sum_{i=1}^n A_i" title="Rendered by QuickLaTeX.com" height="19" width="63" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">\sum_(i=1)^n&lt;sp&gt;A_i&lt;sp&gt;\sum for sum symbol and _ &amp; ^ sign for getting text below and above sum. Parenthesis can be used for grouping text with spaces</td></tr><tr><td style="padding:0.5em;border:1px solid transparent;width:29.9616%;">\prod_(n=0)^N&lt;sp&gt;x^n&lt;sp&gt;</td><td style="padding:0.5em;border:1px solid transparent;width:19.0128%;"><img src="https://www.pickupbrain.com/wp-content/ql-cache/quicklatex.com-43cba1b63505e8d4d788abfbad93b7d5_l3.svg" alt="\prod_{n=0}^N x^n" title="Rendered by QuickLaTeX.com" height="22" width="64" style="height:auto;max-width:100%;border:none;background:0px 0px;padding:0px;" class="fr-fic fr-dii"></td><td style="padding:0.5em;border:1px solid transparent;width:50.9358%;">Similar to sum.</td></tr></tbody></table>]]></content:encoded>[/allow-dzen]
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