├── .gitignore
├── CNAME
├── favicon.ico
├── img
    ├── bar.png
    ├── ddot.png
    ├── dot.png
    ├── hat.png
    ├── hbar.png
    ├── lima.png
    ├── max.png
    ├── min.png
    ├── vec.png
    ├── angle.png
    ├── binom.png
    ├── cdots.png
    ├── ldots.png
    ├── liminfa.png
    ├── limsupa.png
    ├── tilde.png
    ├── vdots.png
    ├── liminfab.png
    ├── limsupab.png
    ├── underline.png
    └── ee-palettes-2.gif
├── fonts
    ├── glyphicons-halflings-regular.eot
    ├── glyphicons-halflings-regular.ttf
    ├── glyphicons-halflings-regular.woff
    ├── glyphicons-halflings-regular.woff2
    └── glyphicons-halflings-regular.svg
├── README.md
├── css
    └── gdocseqn.css
└── index.html


/.gitignore:
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1 | .DS_Store
2 | 


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/CNAME:
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1 | equation-shortcuts.notuom.com


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/favicon.ico:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/favicon.ico


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/img/bar.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/bar.png


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/img/ddot.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/ddot.png


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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/dot.png


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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/hat.png


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/img/hbar.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/hbar.png


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/img/lima.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/lima.png


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/img/max.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/max.png


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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/min.png


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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/vec.png


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/img/angle.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/angle.png


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/img/binom.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/binom.png


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/img/cdots.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/cdots.png


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/img/ldots.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/ldots.png


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/img/liminfa.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/liminfa.png


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/img/limsupa.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/limsupa.png


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/img/tilde.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/tilde.png


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/img/vdots.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/vdots.png


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/img/liminfab.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/liminfab.png


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/img/limsupab.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/limsupab.png


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/img/underline.png:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/underline.png


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/img/ee-palettes-2.gif:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/img/ee-palettes-2.gif


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/fonts/glyphicons-halflings-regular.eot:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/fonts/glyphicons-halflings-regular.eot


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/fonts/glyphicons-halflings-regular.ttf:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/fonts/glyphicons-halflings-regular.ttf


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/fonts/glyphicons-halflings-regular.woff:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/fonts/glyphicons-halflings-regular.woff


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/fonts/glyphicons-halflings-regular.woff2:
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https://raw.githubusercontent.com/Notuom/google-docs-equation-shortcuts/HEAD/fonts/glyphicons-halflings-regular.woff2


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/README.md:
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 1 | # Google Docs Equation Shortcuts
 2 | 
 3 | Unofficial documentation for Google Docs equation editor shortcuts.
 4 | 
 5 | This is published on https://equation-shortcuts.notuom.com/.
 6 | 
 7 | You can also [use it as a Userscript](https://greasyfork.org/en/scripts/420316-improve-google-docs-equation-typing) to display editor shortcuts in the equations bar of Google Docs.
 8 | 
 9 | If anything is missing or wrong, feel free to [open an issue or pull request](https://github.com/Notuom/google-docs-equation-shortcuts/issues)!
10 | 


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/css/gdocseqn.css:
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 1 | /*
 2 |  * Google Docs equation toolbar icon styles.
 3 |  * No copyright infringement intended.
 4 |  * This is only used to make life easier for fellow Google Docs users.
 5 |  *
 6 |  * Copyright 2017 Google Inc.
 7 |  */
 8 | 
 9 | /* Navigation */
10 | .back-to-top {
11 |   font-size: 14px;
12 | }
13 | 
14 | /* Table layout */
15 | .table td {
16 |   width: 50%;
17 | }
18 | 
19 | /* Icons for the equation characters */
20 | .eqn-shortcut-icon {
21 |   background-image: url(../img/ee-palettes-2.gif);
22 |   width: 18px;
23 |   height: 18px;
24 | }
25 | 
26 | /* Palette icons for sections */
27 | .eqn-title-icon {
28 |   display: inline-block;
29 |   background-image: url(../img/ee-palettes-2.gif);
30 |   width: 29px;
31 |   height: 18px;
32 | }
33 | 
34 | .eqn-title-icon-character {
35 |   background-position: -4px 0;
36 | }
37 | 
38 | .eqn-title-icon-misc {
39 |   background-position: -50px 0;
40 | }
41 | 
42 | .eqn-title-icon-relation {
43 |   background-position: -96px 0;
44 | }
45 | 
46 | .eqn-title-icon-integral {
47 |   background-position: -142px 0;
48 | }
49 | 
50 | .eqn-title-icon-arrow {
51 |   background-position: -188px 0;
52 | }
53 | 


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/index.html:
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   1 | <!DOCTYPE html>
   2 | <html>
   3 |   <head>
   4 |     <meta charset="utf-8" />
   5 |     <meta
   6 |       name="description"
   7 |       content="Google Docs Equation Editor unofficial shortcuts list. Provides LaTeX-like shortcuts for the Google Docs equation editor."
   8 |     />
   9 |     <meta name="viewport" content="width=device-width, initial-scale=1" />
  10 |     <title>Google Docs Equation Editor Shortcuts / Cheat Sheet</title>
  11 |     <link rel="stylesheet" href="css/bootstrap.css" />
  12 |     <link rel="stylesheet" href="css/gdocseqn.css" />
  13 |     <link rel="shortcut icon" href="favicon.ico" />
  14 |   </head>
  15 | 
  16 |   <body>
  17 |     <script>
  18 |       (function (i, s, o, g, r, a, m) {
  19 |         i["GoogleAnalyticsObject"] = r;
  20 |         (i[r] =
  21 |           i[r] ||
  22 |           function () {
  23 |             (i[r].q = i[r].q || []).push(arguments);
  24 |           }),
  25 |           (i[r].l = 1 * new Date());
  26 |         (a = s.createElement(o)), (m = s.getElementsByTagName(o)[0]);
  27 |         a.async = 1;
  28 |         a.src = g;
  29 |         m.parentNode.insertBefore(a, m);
  30 |       })(
  31 |         window,
  32 |         document,
  33 |         "script",
  34 |         "https://www.google-analytics.com/analytics.js",
  35 |         "ga"
  36 |       );
  37 | 
  38 |       ga("create", "UA-38186558-1", "auto");
  39 |       ga("send", "pageview");
  40 |     </script>
  41 |     <div class="container">
  42 |       <h1>Google Docs Equation Editor Shortcuts</h1>
  43 |       <p>
  44 |         This page provides an <strong>unofficial</strong> LaTeX-like shortcuts
  45 |         list / cheat-sheet for the Google Docs equation editor.
  46 |       </p>
  47 |       <p>
  48 |         To use these shortcuts, enter them in the equation editor followed by
  49 |         <kbd>space bar</kbd>.
  50 |       </p>
  51 |       <p>
  52 |         If you are looking for special characters or symbols that are not listed
  53 |         here, you can go to Insert &rarr; Special characters from the Google
  54 |         Docs toolbar and search by name.
  55 |       </p>
  56 |       <nav>
  57 |         <p>
  58 |           <strong>Quick jump :</strong>
  59 |         </p>
  60 |         <ul>
  61 |           <li>
  62 |             <a href="#letter">
  63 |               <div class="eqn-title-icon eqn-title-icon-letter"></div>
  64 |               Greek letters
  65 |             </a>
  66 |           </li>
  67 |           <li>
  68 |             <a href="#misc">
  69 |               <div class="eqn-title-icon eqn-title-icon-misc"></div>
  70 |               Miscellaneous operations
  71 |             </a>
  72 |           </li>
  73 |           <li>
  74 |             <a href="#relation">
  75 |               <div class="eqn-title-icon eqn-title-icon-relation"></div>
  76 |               Relations
  77 |             </a>
  78 |           </li>
  79 |           <li>
  80 |             <a href="#integral">
  81 |               <div class="eqn-title-icon eqn-title-icon-integral"></div>
  82 |               Maths operations
  83 |             </a>
  84 |           </li>
  85 |           <li>
  86 |             <a href="#arrow">
  87 |               <div class="eqn-title-icon eqn-title-icon-arrow"></div>
  88 |               Arrows
  89 |             </a>
  90 |           </li>
  91 |           <li>
  92 |             <a href="#unlisted">Unlisted</a>
  93 |           </li>
  94 |           <li>
  95 |             <a href="#about">About this page</a>
  96 |           </li>
  97 |         </ul>
  98 |       </nav>
  99 | 
 100 |       <h2 id="letter">
 101 |         <div class="eqn-title-icon eqn-title-icon-letter"></div>
 102 |         Greek letters
 103 |         <a class="back-to-top" href="#" title="Back to the top">
 104 |           <i class="glyphicon glyphicon-arrow-up"></i>
 105 |         </a>
 106 |       </h2>
 107 |       <table class="table" cellspacing="0" cellpadding="0">
 108 |         <thead>
 109 |           <tr>
 110 |             <th>Element</th>
 111 |             <th>Shortcut</th>
 112 |           </tr>
 113 |         </thead>
 114 |         <tbody>
 115 |           <tr>
 116 |             <td>
 117 |               <div
 118 |                 class="eqn-shortcut-icon"
 119 |                 title="alpha"
 120 |                 style="background-position: 0px -30px"
 121 |               >
 122 |                 &nbsp;
 123 |               </div>
 124 |             </td>
 125 |             <td>
 126 |               <code id="shortcut-86">\alpha</code>
 127 |             </td>
 128 |           </tr>
 129 |           <tr>
 130 |             <td>
 131 |               <div
 132 |                 class="eqn-shortcut-icon"
 133 |                 title="beta"
 134 |                 style="background-position: -18px -30px"
 135 |               >
 136 |                 &nbsp;
 137 |               </div>
 138 |             </td>
 139 |             <td>
 140 |               <code id="shortcut-87">\beta</code>
 141 |             </td>
 142 |           </tr>
 143 |           <tr>
 144 |             <td>
 145 |               <div
 146 |                 class="eqn-shortcut-icon"
 147 |                 title="gamma"
 148 |                 style="background-position: -36px -30px"
 149 |               >
 150 |                 &nbsp;
 151 |               </div>
 152 |             </td>
 153 |             <td>
 154 |               <code id="shortcut-88">\gamma</code>
 155 |             </td>
 156 |           </tr>
 157 |           <tr>
 158 |             <td>
 159 |               <div
 160 |                 class="eqn-shortcut-icon"
 161 |                 title="delta"
 162 |                 style="background-position: -54px -30px"
 163 |               >
 164 |                 &nbsp;
 165 |               </div>
 166 |             </td>
 167 |             <td>
 168 |               <code id="shortcut-89">\delta</code>
 169 |             </td>
 170 |           </tr>
 171 |           <tr>
 172 |             <td>
 173 |               <div
 174 |                 class="eqn-shortcut-icon"
 175 |                 title="epsilon"
 176 |                 style="background-position: -72px -30px"
 177 |               >
 178 |                 &nbsp;
 179 |               </div>
 180 |             </td>
 181 |             <td>
 182 |               <code id="shortcut-90">\epsilon</code>
 183 |             </td>
 184 |           </tr>
 185 |           <tr>
 186 |             <td>
 187 |               <div
 188 |                 class="eqn-shortcut-icon"
 189 |                 title="varepsilon"
 190 |                 style="background-position: -90px -30px"
 191 |               >
 192 |                 &nbsp;
 193 |               </div>
 194 |             </td>
 195 |             <td>
 196 |               <code id="shortcut-91">\varepsilon</code>
 197 |             </td>
 198 |           </tr>
 199 |           <tr>
 200 |             <td>
 201 |               <div
 202 |                 class="eqn-shortcut-icon"
 203 |                 title="zeta"
 204 |                 style="background-position: -108px -30px"
 205 |               >
 206 |                 &nbsp;
 207 |               </div>
 208 |             </td>
 209 |             <td>
 210 |               <code id="shortcut-92">\zeta</code>
 211 |             </td>
 212 |           </tr>
 213 |           <tr>
 214 |             <td>
 215 |               <div
 216 |                 class="eqn-shortcut-icon"
 217 |                 title="eta"
 218 |                 style="background-position: -126px -30px"
 219 |               >
 220 |                 &nbsp;
 221 |               </div>
 222 |             </td>
 223 |             <td>
 224 |               <code id="shortcut-93">\eta</code>
 225 |             </td>
 226 |           </tr>
 227 |           <tr>
 228 |             <td>
 229 |               <div
 230 |                 class="eqn-shortcut-icon"
 231 |                 title="theta"
 232 |                 style="background-position: -144px -30px"
 233 |               >
 234 |                 &nbsp;
 235 |               </div>
 236 |             </td>
 237 |             <td>
 238 |               <code id="shortcut-94">\theta</code>
 239 |             </td>
 240 |           </tr>
 241 |           <tr>
 242 |             <td>
 243 |               <div
 244 |                 class="eqn-shortcut-icon"
 245 |                 title="vartheta"
 246 |                 style="background-position: -162px -30px"
 247 |               >
 248 |                 &nbsp;
 249 |               </div>
 250 |             </td>
 251 |             <td>
 252 |               <code id="shortcut-95">\vartheta</code>
 253 |             </td>
 254 |           </tr>
 255 |           <tr>
 256 |             <td>
 257 |               <div
 258 |                 class="eqn-shortcut-icon"
 259 |                 title="iota"
 260 |                 style="background-position: -180px -30px"
 261 |               >
 262 |                 &nbsp;
 263 |               </div>
 264 |             </td>
 265 |             <td>
 266 |               <code id="shortcut-96">\iota</code>
 267 |             </td>
 268 |           </tr>
 269 |           <tr>
 270 |             <td>
 271 |               <div
 272 |                 class="eqn-shortcut-icon"
 273 |                 title="kappa"
 274 |                 style="background-position: -198px -30px"
 275 |               >
 276 |                 &nbsp;
 277 |               </div>
 278 |             </td>
 279 |             <td>
 280 |               <code id="shortcut-97">\kappa</code>
 281 |             </td>
 282 |           </tr>
 283 |           <tr>
 284 |             <td>
 285 |               <div
 286 |                 class="eqn-shortcut-icon"
 287 |                 title="lambda"
 288 |                 style="background-position: -216px -30px"
 289 |               >
 290 |                 &nbsp;
 291 |               </div>
 292 |             </td>
 293 |             <td>
 294 |               <code id="shortcut-98">\lambda</code>
 295 |             </td>
 296 |           </tr>
 297 |           <tr>
 298 |             <td>
 299 |               <div
 300 |                 class="eqn-shortcut-icon"
 301 |                 title="mu"
 302 |                 style="background-position: -234px -30px"
 303 |               >
 304 |                 &nbsp;
 305 |               </div>
 306 |             </td>
 307 |             <td>
 308 |               <code id="shortcut-99">\mu</code>
 309 |             </td>
 310 |           </tr>
 311 |           <tr>
 312 |             <td>
 313 |               <div
 314 |                 class="eqn-shortcut-icon"
 315 |                 title="nu"
 316 |                 style="background-position: -252px -30px"
 317 |               >
 318 |                 &nbsp;
 319 |               </div>
 320 |             </td>
 321 |             <td>
 322 |               <code id="shortcut-100">\nu</code>
 323 |             </td>
 324 |           </tr>
 325 |           <tr>
 326 |             <td>
 327 |               <div
 328 |                 class="eqn-shortcut-icon"
 329 |                 title="xi"
 330 |                 style="background-position: -270px -30px"
 331 |               >
 332 |                 &nbsp;
 333 |               </div>
 334 |             </td>
 335 |             <td>
 336 |               <code id="shortcut-101">\xi</code>
 337 |             </td>
 338 |           </tr>
 339 |           <tr>
 340 |             <td>
 341 |               <div
 342 |                 class="eqn-shortcut-icon"
 343 |                 title="pi"
 344 |                 style="background-position: -288px -30px"
 345 |               >
 346 |                 &nbsp;
 347 |               </div>
 348 |             </td>
 349 |             <td>
 350 |               <code id="shortcut-102">\pi</code>
 351 |             </td>
 352 |           </tr>
 353 |           <tr>
 354 |             <td>
 355 |               <div
 356 |                 class="eqn-shortcut-icon"
 357 |                 title="varpi"
 358 |                 style="background-position: -306px -30px"
 359 |               >
 360 |                 &nbsp;
 361 |               </div>
 362 |             </td>
 363 |             <td>
 364 |               <code id="shortcut-103">\varpi</code>
 365 |             </td>
 366 |           </tr>
 367 |           <tr>
 368 |             <td>
 369 |               <div
 370 |                 class="eqn-shortcut-icon"
 371 |                 title="rho"
 372 |                 style="background-position: -324px -30px"
 373 |               >
 374 |                 &nbsp;
 375 |               </div>
 376 |             </td>
 377 |             <td>
 378 |               <code id="shortcut-104">\rho</code>
 379 |             </td>
 380 |           </tr>
 381 |           <tr>
 382 |             <td>
 383 |               <div
 384 |                 class="eqn-shortcut-icon"
 385 |                 title="varrho"
 386 |                 style="background-position: -342px -30px"
 387 |               >
 388 |                 &nbsp;
 389 |               </div>
 390 |             </td>
 391 |             <td>
 392 |               <code id="shortcut-105">\varrho</code>
 393 |             </td>
 394 |           </tr>
 395 |           <tr>
 396 |             <td>
 397 |               <div
 398 |                 class="eqn-shortcut-icon"
 399 |                 title="sigma"
 400 |                 style="background-position: -360px -30px"
 401 |               >
 402 |                 &nbsp;
 403 |               </div>
 404 |             </td>
 405 |             <td>
 406 |               <code id="shortcut-106">\sigma</code>
 407 |             </td>
 408 |           </tr>
 409 |           <tr>
 410 |             <td>
 411 |               <div
 412 |                 class="eqn-shortcut-icon"
 413 |                 title="varsigma"
 414 |                 style="background-position: -378px -30px"
 415 |               >
 416 |                 &nbsp;
 417 |               </div>
 418 |             </td>
 419 |             <td>
 420 |               <code id="shortcut-107">\varsigma</code>
 421 |             </td>
 422 |           </tr>
 423 |           <tr>
 424 |             <td>
 425 |               <div
 426 |                 class="eqn-shortcut-icon"
 427 |                 title="tau"
 428 |                 style="background-position: -396px -30px"
 429 |               >
 430 |                 &nbsp;
 431 |               </div>
 432 |             </td>
 433 |             <td>
 434 |               <code id="shortcut-108">\tau</code>
 435 |             </td>
 436 |           </tr>
 437 |           <tr>
 438 |             <td>
 439 |               <div
 440 |                 class="eqn-shortcut-icon"
 441 |                 title="upsilon"
 442 |                 style="background-position: -414px -30px"
 443 |               >
 444 |                 &nbsp;
 445 |               </div>
 446 |             </td>
 447 |             <td>
 448 |               <code id="shortcut-109">\upsilon</code>
 449 |             </td>
 450 |           </tr>
 451 |           <tr>
 452 |             <td>
 453 |               <div
 454 |                 class="eqn-shortcut-icon"
 455 |                 title="phi"
 456 |                 style="background-position: -432px -30px"
 457 |               >
 458 |                 &nbsp;
 459 |               </div>
 460 |             </td>
 461 |             <td>
 462 |               <code id="shortcut-110">\phi</code>
 463 |             </td>
 464 |           </tr>
 465 |           <tr>
 466 |             <td>
 467 |               <div
 468 |                 class="eqn-shortcut-icon"
 469 |                 title="varphi"
 470 |                 style="background-position: -450px -30px"
 471 |               >
 472 |                 &nbsp;
 473 |               </div>
 474 |             </td>
 475 |             <td>
 476 |               <code id="shortcut-111">\varphi</code>
 477 |             </td>
 478 |           </tr>
 479 |           <tr>
 480 |             <td>
 481 |               <div
 482 |                 class="eqn-shortcut-icon"
 483 |                 title="chi"
 484 |                 style="background-position: -468px -30px"
 485 |               >
 486 |                 &nbsp;
 487 |               </div>
 488 |             </td>
 489 |             <td>
 490 |               <code id="shortcut-112">\chi</code>
 491 |             </td>
 492 |           </tr>
 493 |           <tr>
 494 |             <td>
 495 |               <div
 496 |                 class="eqn-shortcut-icon"
 497 |                 title="psi"
 498 |                 style="background-position: -486px -30px"
 499 |               >
 500 |                 &nbsp;
 501 |               </div>
 502 |             </td>
 503 |             <td>
 504 |               <code id="shortcut-113">\psi</code>
 505 |             </td>
 506 |           </tr>
 507 |           <tr>
 508 |             <td>
 509 |               <div
 510 |                 class="eqn-shortcut-icon"
 511 |                 title="omega"
 512 |                 style="background-position: -504px -30px"
 513 |               >
 514 |                 &nbsp;
 515 |               </div>
 516 |             </td>
 517 |             <td>
 518 |               <code id="shortcut-114">\omega</code>
 519 |             </td>
 520 |           </tr>
 521 |           <tr>
 522 |             <td>
 523 |               <div
 524 |                 class="eqn-shortcut-icon"
 525 |                 title="Gamma"
 526 |                 style="background-position: -522px -30px"
 527 |               >
 528 |                 &nbsp;
 529 |               </div>
 530 |             </td>
 531 |             <td>
 532 |               <code id="shortcut-115">\Gamma</code>
 533 |             </td>
 534 |           </tr>
 535 |           <tr>
 536 |             <td>
 537 |               <div
 538 |                 class="eqn-shortcut-icon"
 539 |                 title="Delta"
 540 |                 style="background-position: -540px -30px"
 541 |               >
 542 |                 &nbsp;
 543 |               </div>
 544 |             </td>
 545 |             <td>
 546 |               <code id="shortcut-116">\Delta</code>
 547 |             </td>
 548 |           </tr>
 549 |           <tr>
 550 |             <td>
 551 |               <div
 552 |                 class="eqn-shortcut-icon"
 553 |                 title="Theta"
 554 |                 style="background-position: -558px -30px"
 555 |               >
 556 |                 &nbsp;
 557 |               </div>
 558 |             </td>
 559 |             <td>
 560 |               <code id="shortcut-117">\Theta</code>
 561 |             </td>
 562 |           </tr>
 563 |           <tr>
 564 |             <td>
 565 |               <div
 566 |                 class="eqn-shortcut-icon"
 567 |                 title="Lambda"
 568 |                 style="background-position: -576px -30px"
 569 |               >
 570 |                 &nbsp;
 571 |               </div>
 572 |             </td>
 573 |             <td>
 574 |               <code id="shortcut-118">\Lambda</code>
 575 |             </td>
 576 |           </tr>
 577 |           <tr>
 578 |             <td>
 579 |               <div
 580 |                 class="eqn-shortcut-icon"
 581 |                 title="Xi"
 582 |                 style="background-position: -594px -30px"
 583 |               >
 584 |                 &nbsp;
 585 |               </div>
 586 |             </td>
 587 |             <td>
 588 |               <code id="shortcut-119">\Xi</code>
 589 |             </td>
 590 |           </tr>
 591 |           <tr>
 592 |             <td>
 593 |               <div
 594 |                 class="eqn-shortcut-icon"
 595 |                 title="Pi"
 596 |                 style="background-position: -612px -30px"
 597 |               >
 598 |                 &nbsp;
 599 |               </div>
 600 |             </td>
 601 |             <td>
 602 |               <code id="shortcut-120">\Pi</code>
 603 |             </td>
 604 |           </tr>
 605 |           <tr>
 606 |             <td>
 607 |               <div
 608 |                 class="eqn-shortcut-icon"
 609 |                 title="Sigma"
 610 |                 style="background-position: -630px -30px"
 611 |               >
 612 |                 &nbsp;
 613 |               </div>
 614 |             </td>
 615 |             <td>
 616 |               <code id="shortcut-121">\Sigma</code>
 617 |             </td>
 618 |           </tr>
 619 |           <tr>
 620 |             <td>
 621 |               <div
 622 |                 class="eqn-shortcut-icon"
 623 |                 title="Upsilon"
 624 |                 style="background-position: -648px -30px"
 625 |               >
 626 |                 &nbsp;
 627 |               </div>
 628 |             </td>
 629 |             <td>
 630 |               <code id="shortcut-122">\Upsilon</code>
 631 |             </td>
 632 |           </tr>
 633 |           <tr>
 634 |             <td>
 635 |               <div
 636 |                 class="eqn-shortcut-icon"
 637 |                 title="Phi"
 638 |                 style="background-position: -666px -30px"
 639 |               >
 640 |                 &nbsp;
 641 |               </div>
 642 |             </td>
 643 |             <td>
 644 |               <code id="shortcut-123">\Phi</code>
 645 |             </td>
 646 |           </tr>
 647 |           <tr>
 648 |             <td>
 649 |               <div
 650 |                 class="eqn-shortcut-icon"
 651 |                 title="Psi"
 652 |                 style="background-position: -684px -30px"
 653 |               >
 654 |                 &nbsp;
 655 |               </div>
 656 |             </td>
 657 |             <td>
 658 |               <code id="shortcut-124">\Psi</code>
 659 |             </td>
 660 |           </tr>
 661 |           <tr>
 662 |             <td>
 663 |               <div
 664 |                 class="eqn-shortcut-icon"
 665 |                 title="Omega"
 666 |                 style="background-position: -702px -30px"
 667 |               >
 668 |                 &nbsp;
 669 |               </div>
 670 |             </td>
 671 |             <td>
 672 |               <code id="shortcut-125">\Omega</code>
 673 |             </td>
 674 |           </tr>
 675 |         </tbody>
 676 |       </table>
 677 | 
 678 |       <h2 id="misc">
 679 |         <div class="eqn-title-icon eqn-title-icon-misc"></div>
 680 |         Miscellaneous operations
 681 |         <a class="back-to-top" href="#" title="Back to the top">
 682 |           <i class="glyphicon glyphicon-arrow-up"></i>
 683 |         </a>
 684 |       </h2>
 685 |       <table class="table" cellspacing="0" cellpadding="0">
 686 |         <thead>
 687 |           <tr>
 688 |             <th>Element</th>
 689 |             <th>Shortcut</th>
 690 |           </tr>
 691 |         </thead>
 692 |         <tbody>
 693 |           <tr>
 694 |             <td>
 695 |               <div
 696 |                 class="eqn-shortcut-icon"
 697 |                 title="times"
 698 |                 style="background-position: 0px -50px"
 699 |               >
 700 |                 &nbsp;
 701 |               </div>
 702 |             </td>
 703 |             <td>
 704 |               <code id="shortcut-54">\times</code>
 705 |             </td>
 706 |           </tr>
 707 |           <tr>
 708 |             <td>
 709 |               <div
 710 |                 class="eqn-shortcut-icon"
 711 |                 title="div"
 712 |                 style="background-position: -18px -50px"
 713 |               >
 714 |                 &nbsp;
 715 |               </div>
 716 |             </td>
 717 |             <td>
 718 |               <code id="shortcut-55">\div</code>
 719 |             </td>
 720 |           </tr>
 721 |           <tr>
 722 |             <td>
 723 |               <div
 724 |                 class="eqn-shortcut-icon"
 725 |                 title="cdot"
 726 |                 style="background-position: -36px -50px"
 727 |               >
 728 |                 &nbsp;
 729 |               </div>
 730 |             </td>
 731 |             <td>
 732 |               <code id="shortcut-56">\cdot</code>
 733 |             </td>
 734 |           </tr>
 735 |           <tr>
 736 |             <td>
 737 |               <div
 738 |                 class="eqn-shortcut-icon"
 739 |                 title="pm"
 740 |                 style="background-position: -54px -50px"
 741 |               >
 742 |                 &nbsp;
 743 |               </div>
 744 |             </td>
 745 |             <td>
 746 |               <code id="shortcut-57">\pm</code>
 747 |             </td>
 748 |           </tr>
 749 |           <tr>
 750 |             <td>
 751 |               <div
 752 |                 class="eqn-shortcut-icon"
 753 |                 title="mp"
 754 |                 style="background-position: -72px -50px"
 755 |               >
 756 |                 &nbsp;
 757 |               </div>
 758 |             </td>
 759 |             <td>
 760 |               <code id="shortcut-58">\mp</code>
 761 |             </td>
 762 |           </tr>
 763 |           <tr>
 764 |             <td>
 765 |               <div
 766 |                 class="eqn-shortcut-icon"
 767 |                 title="ast"
 768 |                 style="background-position: -90px -50px"
 769 |               >
 770 |                 &nbsp;
 771 |               </div>
 772 |             </td>
 773 |             <td>
 774 |               <code id="shortcut-59">\ast</code>
 775 |             </td>
 776 |           </tr>
 777 |           <tr>
 778 |             <td>
 779 |               <div
 780 |                 class="eqn-shortcut-icon"
 781 |                 title="star"
 782 |                 style="background-position: -108px -50px"
 783 |               >
 784 |                 &nbsp;
 785 |               </div>
 786 |             </td>
 787 |             <td>
 788 |               <code id="shortcut-60">\star</code>
 789 |             </td>
 790 |           </tr>
 791 |           <tr>
 792 |             <td>
 793 |               <div
 794 |                 class="eqn-shortcut-icon"
 795 |                 title="circ"
 796 |                 style="background-position: -126px -50px"
 797 |               >
 798 |                 &nbsp;
 799 |               </div>
 800 |             </td>
 801 |             <td>
 802 |               <code id="shortcut-61">\circ</code>
 803 |             </td>
 804 |           </tr>
 805 |           <tr>
 806 |             <td>
 807 |               <div
 808 |                 class="eqn-shortcut-icon"
 809 |                 title="bullet"
 810 |                 style="background-position: -144px -50px"
 811 |               >
 812 |                 &nbsp;
 813 |               </div>
 814 |             </td>
 815 |             <td>
 816 |               <code id="shortcut-62">\bullet</code>
 817 |             </td>
 818 |           </tr>
 819 |           <tr>
 820 |             <td>
 821 |               <div
 822 |                 class="eqn-shortcut-icon"
 823 |                 title="oplus"
 824 |                 style="background-position: -162px -50px"
 825 |               >
 826 |                 &nbsp;
 827 |               </div>
 828 |             </td>
 829 |             <td>
 830 |               <code id="shortcut-63">\oplus</code>
 831 |             </td>
 832 |           </tr>
 833 |           <tr>
 834 |             <td>
 835 |               <div
 836 |                 class="eqn-shortcut-icon"
 837 |                 title="ominus"
 838 |                 style="background-position: -180px -50px"
 839 |               >
 840 |                 &nbsp;
 841 |               </div>
 842 |             </td>
 843 |             <td>
 844 |               <code id="shortcut-64">\ominus</code>
 845 |             </td>
 846 |           </tr>
 847 |           <tr>
 848 |             <td>
 849 |               <div
 850 |                 class="eqn-shortcut-icon"
 851 |                 title="oslash"
 852 |                 style="background-position: -198px -50px"
 853 |               >
 854 |                 &nbsp;
 855 |               </div>
 856 |             </td>
 857 |             <td>
 858 |               <code id="shortcut-65">\oslash</code>
 859 |             </td>
 860 |           </tr>
 861 |           <tr>
 862 |             <td>
 863 |               <div
 864 |                 class="eqn-shortcut-icon"
 865 |                 title="otimes"
 866 |                 style="background-position: -216px -50px"
 867 |               >
 868 |                 &nbsp;
 869 |               </div>
 870 |             </td>
 871 |             <td>
 872 |               <code id="shortcut-66">\otimes</code>
 873 |             </td>
 874 |           </tr>
 875 |           <tr>
 876 |             <td>
 877 |               <div
 878 |                 class="eqn-shortcut-icon"
 879 |                 title="odot"
 880 |                 style="background-position: -234px -50px"
 881 |               >
 882 |                 &nbsp;
 883 |               </div>
 884 |             </td>
 885 |             <td>
 886 |               <code id="shortcut-67">\odot</code>
 887 |             </td>
 888 |           </tr>
 889 |           <tr>
 890 |             <td>
 891 |               <div
 892 |                 class="eqn-shortcut-icon"
 893 |                 title="dagger"
 894 |                 style="background-position: -252px -50px"
 895 |               >
 896 |                 &nbsp;
 897 |               </div>
 898 |             </td>
 899 |             <td>
 900 |               <code id="shortcut-68">\dagger</code>
 901 |             </td>
 902 |           </tr>
 903 |           <tr>
 904 |             <td>
 905 |               <div
 906 |                 class="eqn-shortcut-icon"
 907 |                 title="ddagger"
 908 |                 style="background-position: -270px -50px"
 909 |               >
 910 |                 &nbsp;
 911 |               </div>
 912 |             </td>
 913 |             <td>
 914 |               <code id="shortcut-69">\ddagger</code>
 915 |             </td>
 916 |           </tr>
 917 |           <tr>
 918 |             <td>
 919 |               <div
 920 |                 class="eqn-shortcut-icon"
 921 |                 title="vee"
 922 |                 style="background-position: -288px -50px"
 923 |               >
 924 |                 &nbsp;
 925 |               </div>
 926 |             </td>
 927 |             <td>
 928 |               <code id="shortcut-70">\vee</code>
 929 |             </td>
 930 |           </tr>
 931 |           <tr>
 932 |             <td>
 933 |               <div
 934 |                 class="eqn-shortcut-icon"
 935 |                 title="wedge"
 936 |                 style="background-position: -306px -50px"
 937 |               >
 938 |                 &nbsp;
 939 |               </div>
 940 |             </td>
 941 |             <td>
 942 |               <code id="shortcut-71">\wedge</code>
 943 |             </td>
 944 |           </tr>
 945 |           <tr>
 946 |             <td>
 947 |               <div
 948 |                 class="eqn-shortcut-icon"
 949 |                 title="cap"
 950 |                 style="background-position: -324px -50px"
 951 |               >
 952 |                 &nbsp;
 953 |               </div>
 954 |             </td>
 955 |             <td>
 956 |               <code id="shortcut-72">\cap</code>
 957 |             </td>
 958 |           </tr>
 959 |           <tr>
 960 |             <td>
 961 |               <div
 962 |                 class="eqn-shortcut-icon"
 963 |                 title="cup"
 964 |                 style="background-position: -342px -50px"
 965 |               >
 966 |                 &nbsp;
 967 |               </div>
 968 |             </td>
 969 |             <td>
 970 |               <code id="shortcut-73">\cup</code>
 971 |             </td>
 972 |           </tr>
 973 |           <tr>
 974 |             <td>
 975 |               <div
 976 |                 class="eqn-shortcut-icon"
 977 |                 title="aleph"
 978 |                 style="background-position: -360px -50px"
 979 |               >
 980 |                 &nbsp;
 981 |               </div>
 982 |             </td>
 983 |             <td>
 984 |               <code id="shortcut-74">\aleph</code>
 985 |             </td>
 986 |           </tr>
 987 |           <tr>
 988 |             <td>
 989 |               <div
 990 |                 class="eqn-shortcut-icon"
 991 |                 title="Re"
 992 |                 style="background-position: -378px -50px"
 993 |               >
 994 |                 &nbsp;
 995 |               </div>
 996 |             </td>
 997 |             <td>
 998 |               <code id="shortcut-75">\Re</code>
 999 |             </td>
1000 |           </tr>
1001 |           <tr>
1002 |             <td>
1003 |               <div
1004 |                 class="eqn-shortcut-icon"
1005 |                 title="Im"
1006 |                 style="background-position: -396px -50px"
1007 |               >
1008 |                 &nbsp;
1009 |               </div>
1010 |             </td>
1011 |             <td>
1012 |               <code id="shortcut-76">\Im</code>
1013 |             </td>
1014 |           </tr>
1015 |           <tr>
1016 |             <td>
1017 |               <div
1018 |                 class="eqn-shortcut-icon"
1019 |                 title="top"
1020 |                 style="background-position: -414px -50px"
1021 |               >
1022 |                 &nbsp;
1023 |               </div>
1024 |             </td>
1025 |             <td>
1026 |               <code id="shortcut-77">\top</code>
1027 |             </td>
1028 |           </tr>
1029 | 
1030 |           <tr>
1031 |             <td>
1032 |               <div
1033 |                 class="eqn-shortcut-icon"
1034 |                 title="bot"
1035 |                 style="background-position: -432px -50px"
1036 |               >
1037 |                 &nbsp;
1038 |               </div>
1039 |             </td>
1040 |             <td>
1041 |               <code id="shortcut-78">\bot</code>
1042 |             </td>
1043 |           </tr>
1044 |           <tr>
1045 |             <td>
1046 |               <div
1047 |                 class="eqn-shortcut-icon"
1048 |                 title="infty"
1049 |                 style="background-position: -450px -50px"
1050 |               >
1051 |                 &nbsp;
1052 |               </div>
1053 |             </td>
1054 |             <td>
1055 |               <code id="shortcut-79">\infty</code>
1056 |             </td>
1057 |           </tr>
1058 |           <tr>
1059 |             <td>
1060 |               <div
1061 |                 class="eqn-shortcut-icon"
1062 |                 title="partial"
1063 |                 style="background-position: -468px -50px"
1064 |               >
1065 |                 &nbsp;
1066 |               </div>
1067 |             </td>
1068 |             <td>
1069 |               <code id="shortcut-80">\partial</code>
1070 |             </td>
1071 |           </tr>
1072 |           <tr>
1073 |             <td>
1074 |               <div
1075 |                 class="eqn-shortcut-icon"
1076 |                 title="forall"
1077 |                 style="background-position: -486px -50px"
1078 |               >
1079 |                 &nbsp;
1080 |               </div>
1081 |             </td>
1082 |             <td>
1083 |               <code id="shortcut-81">\forall</code>
1084 |             </td>
1085 |           </tr>
1086 |           <tr>
1087 |             <td>
1088 |               <div
1089 |                 class="eqn-shortcut-icon"
1090 |                 title="exists"
1091 |                 style="background-position: -504px -50px"
1092 |               >
1093 |                 &nbsp;
1094 |               </div>
1095 |             </td>
1096 |             <td>
1097 |               <code id="shortcut-82">\exists</code>
1098 |             </td>
1099 |           </tr>
1100 |           <tr>
1101 |             <td>
1102 |               <div
1103 |                 class="eqn-shortcut-icon"
1104 |                 title="neg"
1105 |                 style="background-position: -522px -50px"
1106 |               >
1107 |                 &nbsp;
1108 |               </div>
1109 |             </td>
1110 |             <td>
1111 |               <code id="shortcut-83">\neg</code>
1112 |             </td>
1113 |           </tr>
1114 |           <tr>
1115 |             <td>
1116 |               <div
1117 |                 class="eqn-shortcut-icon"
1118 |                 title="triangle"
1119 |                 style="background-position: -558px -50px"
1120 |               >
1121 |                 &nbsp;
1122 |               </div>
1123 |             </td>
1124 |             <td>
1125 |               <code id="shortcut-84">\triangle</code>
1126 |             </td>
1127 |           </tr>
1128 |           <tr>
1129 |             <td>
1130 |               <div
1131 |                 class="eqn-shortcut-icon"
1132 |                 title="diamond"
1133 |                 style="background-position: -576px -50px"
1134 |               >
1135 |                 &nbsp;
1136 |               </div>
1137 |             </td>
1138 |             <td>
1139 |               <code id="shortcut-85">\diamond</code>
1140 |             </td>
1141 |           </tr>
1142 |         </tbody>
1143 |       </table>
1144 | 
1145 |       <h2 id="relation">
1146 |         <div class="eqn-title-icon eqn-title-icon-relation"></div>
1147 |         Relations
1148 |         <a class="back-to-top" href="#" title="Back to the top">
1149 |           <i class="glyphicon glyphicon-arrow-up"></i>
1150 |         </a>
1151 |       </h2>
1152 |       <table class="table" cellspacing="0" cellpadding="0">
1153 |         <thead>
1154 |           <tr>
1155 |             <th>Element</th>
1156 |             <th>Shortcut</th>
1157 |           </tr>
1158 |         </thead>
1159 |         <tbody>
1160 |           <tr>
1161 |             <td>
1162 |               <div
1163 |                 class="eqn-shortcut-icon"
1164 |                 title="leq"
1165 |                 style="background-position: 0px -70px"
1166 |               >
1167 |                 &nbsp;
1168 |               </div>
1169 |             </td>
1170 |             <td>
1171 |               <code id="shortcut-33">\leq</code>
1172 |             </td>
1173 |           </tr>
1174 |           <tr>
1175 |             <td>
1176 |               <div
1177 |                 class="eqn-shortcut-icon"
1178 |                 title="geq"
1179 |                 style="background-position: -18px -70px"
1180 |               >
1181 |                 &nbsp;
1182 |               </div>
1183 |             </td>
1184 |             <td>
1185 |               <code id="shortcut-34">\geq</code>
1186 |             </td>
1187 |           </tr>
1188 |           <tr>
1189 |             <td>
1190 |               <div
1191 |                 class="eqn-shortcut-icon"
1192 |                 title="prec"
1193 |                 style="background-position: -36px -70px"
1194 |               >
1195 |                 &nbsp;
1196 |               </div>
1197 |             </td>
1198 |             <td>
1199 |               <code id="shortcut-35">\prec</code>
1200 |             </td>
1201 |           </tr>
1202 |           <tr>
1203 |             <td>
1204 |               <div
1205 |                 class="eqn-shortcut-icon"
1206 |                 title="succ"
1207 |                 style="background-position: -54px -70px"
1208 |               >
1209 |                 &nbsp;
1210 |               </div>
1211 |             </td>
1212 |             <td>
1213 |               <code id="shortcut-36">\succ</code>
1214 |             </td>
1215 |           </tr>
1216 |           <tr>
1217 |             <td>
1218 |               <div
1219 |                 class="eqn-shortcut-icon"
1220 |                 title="preceq"
1221 |                 style="background-position: -72px -70px"
1222 |               >
1223 |                 &nbsp;
1224 |               </div>
1225 |             </td>
1226 |             <td>
1227 |               <code id="shortcut-37">\preceq</code>
1228 |             </td>
1229 |           </tr>
1230 |           <tr>
1231 |             <td>
1232 |               <div
1233 |                 class="eqn-shortcut-icon"
1234 |                 title="succeq"
1235 |                 style="background-position: -90px -70px"
1236 |               >
1237 |                 &nbsp;
1238 |               </div>
1239 |             </td>
1240 |             <td>
1241 |               <code id="shortcut-38">\succeq</code>
1242 |             </td>
1243 |           </tr>
1244 |           <tr>
1245 |             <td>
1246 |               <div
1247 |                 class="eqn-shortcut-icon"
1248 |                 title="ll"
1249 |                 style="background-position: -108px -70px"
1250 |               >
1251 |                 &nbsp;
1252 |               </div>
1253 |             </td>
1254 |             <td>
1255 |               <code id="shortcut-39">\ll</code>
1256 |             </td>
1257 |           </tr>
1258 |           <tr>
1259 |             <td>
1260 |               <div
1261 |                 class="eqn-shortcut-icon"
1262 |                 title="gg"
1263 |                 style="background-position: -126px -70px"
1264 |               >
1265 |                 &nbsp;
1266 |               </div>
1267 |             </td>
1268 |             <td>
1269 |               <code id="shortcut-40">\gg</code>
1270 |             </td>
1271 |           </tr>
1272 |           <tr>
1273 |             <td>
1274 |               <div
1275 |                 class="eqn-shortcut-icon"
1276 |                 title="equiv"
1277 |                 style="background-position: -144px -70px"
1278 |               >
1279 |                 &nbsp;
1280 |               </div>
1281 |             </td>
1282 |             <td>
1283 |               <code id="shortcut-41">\equiv</code>
1284 |             </td>
1285 |           </tr>
1286 |           <tr>
1287 |             <td>
1288 |               <div
1289 |                 class="eqn-shortcut-icon"
1290 |                 title="sim"
1291 |                 style="background-position: -162px -70px"
1292 |               >
1293 |                 &nbsp;
1294 |               </div>
1295 |             </td>
1296 |             <td>
1297 |               <code id="shortcut-42">\sim</code>
1298 |             </td>
1299 |           </tr>
1300 |           <tr>
1301 |             <td>
1302 |               <div
1303 |                 class="eqn-shortcut-icon"
1304 |                 title="simeq"
1305 |                 style="background-position: -180px -70px"
1306 |               >
1307 |                 &nbsp;
1308 |               </div>
1309 |             </td>
1310 |             <td>
1311 |               <code id="shortcut-43">\simeq</code>
1312 |             </td>
1313 |           </tr>
1314 |           <tr>
1315 |             <td>
1316 |               <div
1317 |                 class="eqn-shortcut-icon"
1318 |                 title="asymp"
1319 |                 style="background-position: -198px -70px"
1320 |               >
1321 |                 &nbsp;
1322 |               </div>
1323 |             </td>
1324 |             <td>
1325 |               <code id="shortcut-44">\asymp</code>
1326 |             </td>
1327 |           </tr>
1328 |           <tr>
1329 |             <td>
1330 |               <div
1331 |                 class="eqn-shortcut-icon"
1332 |                 title="approx"
1333 |                 style="background-position: -216px -70px"
1334 |               >
1335 |                 &nbsp;
1336 |               </div>
1337 |             </td>
1338 |             <td>
1339 |               <code id="shortcut-45">\approx</code>
1340 |             </td>
1341 |           </tr>
1342 |           <tr>
1343 |             <td>
1344 |               <div
1345 |                 class="eqn-shortcut-icon"
1346 |                 title="ne"
1347 |                 style="background-position: -234px -70px"
1348 |               >
1349 |                 &nbsp;
1350 |               </div>
1351 |             </td>
1352 |             <td>
1353 |               <code id="shortcut-46">\ne</code>
1354 |             </td>
1355 |           </tr>
1356 |           <tr>
1357 |             <td>
1358 |               <div
1359 |                 class="eqn-shortcut-icon"
1360 |                 title="subset"
1361 |                 style="background-position: -252px -70px"
1362 |               >
1363 |                 &nbsp;
1364 |               </div>
1365 |             </td>
1366 |             <td>
1367 |               <code id="shortcut-47">\subset</code>
1368 |             </td>
1369 |           </tr>
1370 |           <tr>
1371 |             <td>
1372 |               <div
1373 |                 class="eqn-shortcut-icon"
1374 |                 title="supset"
1375 |                 style="background-position: -270px -70px"
1376 |               >
1377 |                 &nbsp;
1378 |               </div>
1379 |             </td>
1380 |             <td>
1381 |               <code id="shortcut-48">\supset</code>
1382 |             </td>
1383 |           </tr>
1384 |           <tr>
1385 |             <td>
1386 |               <div
1387 |                 class="eqn-shortcut-icon"
1388 |                 title="subseteq"
1389 |                 style="background-position: -288px -70px"
1390 |               >
1391 |                 &nbsp;
1392 |               </div>
1393 |             </td>
1394 |             <td>
1395 |               <code id="shortcut-49">\subseteq</code>
1396 |             </td>
1397 |           </tr>
1398 |           <tr>
1399 |             <td>
1400 |               <div
1401 |                 class="eqn-shortcut-icon"
1402 |                 title="supseteq"
1403 |                 style="background-position: -306px -70px"
1404 |               >
1405 |                 &nbsp;
1406 |               </div>
1407 |             </td>
1408 |             <td>
1409 |               <code id="shortcut-50">\supseteq</code>
1410 |             </td>
1411 |           </tr>
1412 |           <tr>
1413 |             <td>
1414 |               <div
1415 |                 class="eqn-shortcut-icon"
1416 |                 title="in"
1417 |                 style="background-position: -324px -70px"
1418 |               >
1419 |                 &nbsp;
1420 |               </div>
1421 |             </td>
1422 |             <td>
1423 |               <code id="shortcut-51">\in</code>
1424 |             </td>
1425 |           </tr>
1426 |           <tr>
1427 |             <td>
1428 |               <div
1429 |                 class="eqn-shortcut-icon"
1430 |                 title="ni"
1431 |                 style="background-position: -342px -70px"
1432 |               >
1433 |                 &nbsp;
1434 |               </div>
1435 |             </td>
1436 |             <td>
1437 |               <code id="shortcut-52">\ni</code>
1438 |             </td>
1439 |           </tr>
1440 |           <tr>
1441 |             <td>
1442 |               <div
1443 |                 class="eqn-shortcut-icon"
1444 |                 title="notin"
1445 |                 style="background-position: -360px -70px"
1446 |               >
1447 |                 &nbsp;
1448 |               </div>
1449 |             </td>
1450 |             <td>
1451 |               <code id="shortcut-53">\notin</code>
1452 |             </td>
1453 |           </tr>
1454 |         </tbody>
1455 |       </table>
1456 | 
1457 |       <h2 id="integral">
1458 |         <div class="eqn-title-icon eqn-title-icon-integral"></div>
1459 |         Maths operations
1460 |         <a class="back-to-top" href="#" title="Back to the top">
1461 |           <i class="glyphicon glyphicon-arrow-up"></i>
1462 |         </a>
1463 |       </h2>
1464 |       <table class="table" cellspacing="0" cellpadding="0">
1465 |         <thead>
1466 |           <tr>
1467 |             <th>Element</th>
1468 |             <th>Shortcut</th>
1469 |           </tr>
1470 |         </thead>
1471 |         <tbody>
1472 |           <tr>
1473 |             <td>
1474 |               <div
1475 |                 class="eqn-shortcut-icon"
1476 |                 title="frac"
1477 |                 style="
1478 |                   background-position: -150px -90px;
1479 |                   width: 30px;
1480 |                   height: 54px;
1481 |                 "
1482 |               >
1483 |                 &nbsp;
1484 |               </div>
1485 |             </td>
1486 |             <td>
1487 |               <code id="shortcut-1">\frac</code>
1488 |             </td>
1489 |           </tr>
1490 |           <tr>
1491 |             <td>
1492 |               <div
1493 |                 class="eqn-shortcut-icon"
1494 |                 title="sqrt"
1495 |                 style="
1496 |                   background-position: -180px -90px;
1497 |                   width: 30px;
1498 |                   height: 54px;
1499 |                 "
1500 |               >
1501 |                 &nbsp;
1502 |               </div>
1503 |             </td>
1504 |             <td>
1505 |               <code id="shortcut-2">\sqrt</code>
1506 |             </td>
1507 |           </tr>
1508 |           <tr>
1509 |             <td>
1510 |               <div
1511 |                 class="eqn-shortcut-icon"
1512 |                 title="rootof"
1513 |                 style="
1514 |                   background-position: -210px -90px;
1515 |                   width: 30px;
1516 |                   height: 54px;
1517 |                 "
1518 |               >
1519 |                 &nbsp;
1520 |               </div>
1521 |             </td>
1522 |             <td>
1523 |               <code id="shortcut-3">\rootof</code>
1524 |             </td>
1525 |           </tr>
1526 |           <tr>
1527 |             <td>
1528 |               <div
1529 |                 class="eqn-shortcut-icon"
1530 |                 title="subsuperscript"
1531 |                 style="
1532 |                   background-position: -60px -90px;
1533 |                   width: 30px;
1534 |                   height: 54px;
1535 |                 "
1536 |               >
1537 |                 &nbsp;
1538 |               </div>
1539 |             </td>
1540 |             <td>
1541 |               <code id="shortcut-4">\subsuperscript</code>
1542 |             </td>
1543 |           </tr>
1544 |           <tr>
1545 |             <td>
1546 |               <div
1547 |                 class="eqn-shortcut-icon"
1548 |                 title="subscript"
1549 |                 style="
1550 |                   background-position: 0px -90px;
1551 |                   width: 30px;
1552 |                   height: 54px;
1553 |                 "
1554 |               >
1555 |                 &nbsp;
1556 |               </div>
1557 |             </td>
1558 |             <td>
1559 |               <code id="shortcut-5">\subscript</code>
1560 |               or
1561 |               <code>_</code>
1562 |             </td>
1563 |           </tr>
1564 |           <tr>
1565 |             <td>
1566 |               <div
1567 |                 class="eqn-shortcut-icon"
1568 |                 title="superscript"
1569 |                 style="
1570 |                   background-position: -30px -90px;
1571 |                   width: 30px;
1572 |                   height: 54px;
1573 |                 "
1574 |               >
1575 |                 &nbsp;
1576 |               </div>
1577 |             </td>
1578 |             <td>
1579 |               <code id="shortcut-6">\superscript</code>
1580 |               or
1581 |               <code>^</code>
1582 |             </td>
1583 |           </tr>
1584 |           <tr>
1585 |             <td>
1586 |               <div
1587 |                 class="eqn-shortcut-icon"
1588 |                 title="overline"
1589 |                 style="
1590 |                   background-position: -90px -90px;
1591 |                   width: 30px;
1592 |                   height: 54px;
1593 |                 "
1594 |               >
1595 |                 &nbsp;
1596 |               </div>
1597 |             </td>
1598 |             <td>
1599 |               <code id="shortcut-7">\overline</code>
1600 |             </td>
1601 |           </tr>
1602 |           <tr>
1603 |             <td>
1604 |               <div
1605 |                 class="eqn-shortcut-icon"
1606 |                 title="widehat"
1607 |                 style="
1608 |                   background-position: -120px -90px;
1609 |                   width: 30px;
1610 |                   height: 54px;
1611 |                 "
1612 |               >
1613 |                 &nbsp;
1614 |               </div>
1615 |             </td>
1616 |             <td>
1617 |               <code id="shortcut-8">\widehat</code>
1618 |             </td>
1619 |           </tr>
1620 |           <tr>
1621 |             <td>
1622 |               <div
1623 |                 class="eqn-shortcut-icon"
1624 |                 title="bigcapab"
1625 |                 style="
1626 |                   background-position: -240px -90px;
1627 |                   width: 30px;
1628 |                   height: 54px;
1629 |                 "
1630 |               >
1631 |                 &nbsp;
1632 |               </div>
1633 |             </td>
1634 |             <td>
1635 |               <code id="shortcut-9">\bigcap</code>
1636 |               or
1637 |               <code>\bigcapab</code>
1638 |             </td>
1639 |           </tr>
1640 |           <tr>
1641 |             <td>
1642 |               <div
1643 |                 class="eqn-shortcut-icon"
1644 |                 title="bigcupab"
1645 |                 style="
1646 |                   background-position: -270px -90px;
1647 |                   width: 30px;
1648 |                   height: 54px;
1649 |                 "
1650 |               >
1651 |                 &nbsp;
1652 |               </div>
1653 |             </td>
1654 |             <td>
1655 |               <code id="shortcut-10">\bigcup</code>
1656 |               or
1657 |               <code>\bigcupab</code>
1658 |             </td>
1659 |           </tr>
1660 |           <tr>
1661 |             <td>
1662 |               <div
1663 |                 class="eqn-shortcut-icon"
1664 |                 title="prodab"
1665 |                 style="
1666 |                   background-position: -300px -90px;
1667 |                   width: 30px;
1668 |                   height: 54px;
1669 |                 "
1670 |               >
1671 |                 &nbsp;
1672 |               </div>
1673 |             </td>
1674 |             <td>
1675 |               <code id="shortcut-11">\prod</code>
1676 |               or
1677 |               <code>\prodab</code>
1678 |             </td>
1679 |           </tr>
1680 |           <tr>
1681 |             <td>
1682 |               <div
1683 |                 class="eqn-shortcut-icon"
1684 |                 title="coprodab"
1685 |                 style="
1686 |                   background-position: -330px -90px;
1687 |                   width: 30px;
1688 |                   height: 54px;
1689 |                 "
1690 |               >
1691 |                 &nbsp;
1692 |               </div>
1693 |             </td>
1694 |             <td>
1695 |               <code id="shortcut-12">\coprod</code>
1696 |               or
1697 |               <code>\coprodab</code>
1698 |             </td>
1699 |           </tr>
1700 |           <tr>
1701 |             <td>
1702 |               <div
1703 |                 class="eqn-shortcut-icon"
1704 |                 title="rbracelr"
1705 |                 style="
1706 |                   background-position: -360px -90px;
1707 |                   width: 30px;
1708 |                   height: 54px;
1709 |                 "
1710 |               >
1711 |                 &nbsp;
1712 |               </div>
1713 |             </td>
1714 |             <td>
1715 |               <code id="shortcut-13">\rbracelr</code>
1716 |             </td>
1717 |           </tr>
1718 |           <tr>
1719 |             <td>
1720 |               <div
1721 |                 class="eqn-shortcut-icon"
1722 |                 title="sbracelr"
1723 |                 style="
1724 |                   background-position: -390px -90px;
1725 |                   width: 30px;
1726 |                   height: 54px;
1727 |                 "
1728 |               >
1729 |                 &nbsp;
1730 |               </div>
1731 |             </td>
1732 |             <td>
1733 |               <code id="shortcut-14">\sbracelr</code>
1734 |             </td>
1735 |           </tr>
1736 |           <tr>
1737 |             <td>
1738 |               <div
1739 |                 class="eqn-shortcut-icon"
1740 |                 title="bracelr"
1741 |                 style="
1742 |                   background-position: -420px -90px;
1743 |                   width: 30px;
1744 |                   height: 54px;
1745 |                 "
1746 |               >
1747 |                 &nbsp;
1748 |               </div>
1749 |             </td>
1750 |             <td>
1751 |               <code id="shortcut-15">\bracelr</code>
1752 |             </td>
1753 |           </tr>
1754 |           <tr>
1755 |             <td>
1756 |               <div
1757 |                 class="eqn-shortcut-icon"
1758 |                 title="abs"
1759 |                 style="
1760 |                   background-position: -450px -90px;
1761 |                   width: 30px;
1762 |                   height: 54px;
1763 |                 "
1764 |               >
1765 |                 &nbsp;
1766 |               </div>
1767 |             </td>
1768 |             <td>
1769 |               <code id="shortcut-16">\abs</code>
1770 |             </td>
1771 |           </tr>
1772 |           <tr>
1773 |             <td>
1774 |               <div
1775 |                 class="eqn-shortcut-icon"
1776 |                 title="int"
1777 |                 style="
1778 |                   background-position: -480px -90px;
1779 |                   width: 30px;
1780 |                   height: 54px;
1781 |                 "
1782 |               >
1783 |                 &nbsp;
1784 |               </div>
1785 |             </td>
1786 |             <td>
1787 |               <code id="shortcut-17">\int</code>
1788 |               or
1789 |               <code>\intab</code>
1790 |             </td>
1791 |           </tr>
1792 |           <tr>
1793 |             <td>
1794 |               <div
1795 |                 class="eqn-shortcut-icon"
1796 |                 title="oint"
1797 |                 style="
1798 |                   background-position: -510px -90px;
1799 |                   width: 30px;
1800 |                   height: 54px;
1801 |                 "
1802 |               >
1803 |                 &nbsp;
1804 |               </div>
1805 |             </td>
1806 |             <td>
1807 |               <code id="shortcut-18">\oint</code>
1808 |               or
1809 |               <code>\ointab</code>
1810 |             </td>
1811 |           </tr>
1812 |           <tr>
1813 |             <td>
1814 |               <div
1815 |                 class="eqn-shortcut-icon"
1816 |                 title="sum"
1817 |                 style="
1818 |                   background-position: -540px -90px;
1819 |                   width: 30px;
1820 |                   height: 54px;
1821 |                 "
1822 |               >
1823 |                 &nbsp;
1824 |               </div>
1825 |             </td>
1826 |             <td>
1827 |               <code id="shortcut-19">\sum</code>
1828 |               or
1829 |               <code>\sumab</code>
1830 |             </td>
1831 |           </tr>
1832 |           <tr>
1833 |             <td>
1834 |               <div
1835 |                 class="eqn-shortcut-icon"
1836 |                 title="lim"
1837 |                 style="
1838 |                   background-position: -570px -90px;
1839 |                   width: 30px;
1840 |                   height: 54px;
1841 |                 "
1842 |               >
1843 |                 &nbsp;
1844 |               </div>
1845 |             </td>
1846 |             <td>
1847 |               <code>\limab</code>
1848 |             </td>
1849 |           </tr>
1850 |         </tbody>
1851 |       </table>
1852 | 
1853 |       <h2 id="arrow">
1854 |         <div class="eqn-title-icon eqn-title-icon-arrow"></div>
1855 |         Arrows
1856 |         <a class="back-to-top" href="#" title="Back to the top">
1857 |           <i class="glyphicon glyphicon-arrow-up"></i>
1858 |         </a>
1859 |       </h2>
1860 |       <table class="table" cellspacing="0" cellpadding="0">
1861 |         <thead>
1862 |           <tr>
1863 |             <th>Element</th>
1864 |             <th>Shortcut</th>
1865 |           </tr>
1866 |         </thead>
1867 |         <tbody>
1868 |           <tr>
1869 |             <td>
1870 |               <div
1871 |                 class="eqn-shortcut-icon"
1872 |                 title="leftarrow"
1873 |                 style="background-position: 0px -150px"
1874 |               >
1875 |                 &nbsp;
1876 |               </div>
1877 |             </td>
1878 |             <td>
1879 |               <code id="shortcut-21">\leftarrow</code>
1880 |             </td>
1881 |           </tr>
1882 |           <tr>
1883 |             <td>
1884 |               <div
1885 |                 class="eqn-shortcut-icon"
1886 |                 title="rightarrow"
1887 |                 style="background-position: -18px -150px"
1888 |               >
1889 |                 &nbsp;
1890 |               </div>
1891 |             </td>
1892 |             <td>
1893 |               <code id="shortcut-22">\rightarrow</code>
1894 |             </td>
1895 |           </tr>
1896 |           <tr>
1897 |             <td>
1898 |               <div
1899 |                 class="eqn-shortcut-icon"
1900 |                 title="leftrightarrow"
1901 |                 style="background-position: -36px -150px"
1902 |               >
1903 |                 &nbsp;
1904 |               </div>
1905 |             </td>
1906 |             <td>
1907 |               <code id="shortcut-23">\leftrightarrow</code>
1908 |             </td>
1909 |           </tr>
1910 |           <tr>
1911 |             <td>
1912 |               <div
1913 |                 class="eqn-shortcut-icon"
1914 |                 title="Leftarrow"
1915 |                 style="background-position: -54px -150px"
1916 |               >
1917 |                 &nbsp;
1918 |               </div>
1919 |             </td>
1920 |             <td>
1921 |               <code id="shortcut-24">\Leftarrow</code>
1922 |             </td>
1923 |           </tr>
1924 |           <tr>
1925 |             <td>
1926 |               <div
1927 |                 class="eqn-shortcut-icon"
1928 |                 title="Rightarrow"
1929 |                 style="background-position: -72px -150px"
1930 |               >
1931 |                 &nbsp;
1932 |               </div>
1933 |             </td>
1934 |             <td>
1935 |               <code id="shortcut-25">\Rightarrow</code>
1936 |             </td>
1937 |           </tr>
1938 |           <tr>
1939 |             <td>
1940 |               <div
1941 |                 class="eqn-shortcut-icon"
1942 |                 title="Leftrightarrow"
1943 |                 style="background-position: -90px -150px"
1944 |               >
1945 |                 &nbsp;
1946 |               </div>
1947 |             </td>
1948 |             <td>
1949 |               <code id="shortcut-26">\Leftrightarrow</code>
1950 |             </td>
1951 |           </tr>
1952 |           <tr>
1953 |             <td>
1954 |               <div
1955 |                 class="eqn-shortcut-icon"
1956 |                 title="uparrow"
1957 |                 style="background-position: -108px -150px"
1958 |               >
1959 |                 &nbsp;
1960 |               </div>
1961 |             </td>
1962 |             <td>
1963 |               <code id="shortcut-27">\uparrow</code>
1964 |             </td>
1965 |           </tr>
1966 |           <tr>
1967 |             <td>
1968 |               <div
1969 |                 class="eqn-shortcut-icon"
1970 |                 title="downarrow"
1971 |                 style="background-position: -126px -150px"
1972 |               >
1973 |                 &nbsp;
1974 |               </div>
1975 |             </td>
1976 |             <td>
1977 |               <code id="shortcut-28">\downarrow</code>
1978 |             </td>
1979 |           </tr>
1980 |           <tr>
1981 |             <td>
1982 |               <div
1983 |                 class="eqn-shortcut-icon"
1984 |                 title="updownarrow"
1985 |                 style="background-position: -144px -150px"
1986 |               >
1987 |                 &nbsp;
1988 |               </div>
1989 |             </td>
1990 |             <td>
1991 |               <code id="shortcut-29">\updownarrow</code>
1992 |             </td>
1993 |           </tr>
1994 |           <tr>
1995 |             <td>
1996 |               <div
1997 |                 class="eqn-shortcut-icon"
1998 |                 title="Uparrow"
1999 |                 style="background-position: -162px -150px"
2000 |               >
2001 |                 &nbsp;
2002 |               </div>
2003 |             </td>
2004 |             <td>
2005 |               <code id="shortcut-30">\Uparrow</code>
2006 |             </td>
2007 |           </tr>
2008 |           <tr>
2009 |             <td>
2010 |               <div
2011 |                 class="eqn-shortcut-icon"
2012 |                 title="Downarrow"
2013 |                 style="background-position: -180px -150px"
2014 |               >
2015 |                 &nbsp;
2016 |               </div>
2017 |             </td>
2018 |             <td>
2019 |               <code id="shortcut-31">\Downarrow</code>
2020 |             </td>
2021 |           </tr>
2022 |           <tr>
2023 |             <td>
2024 |               <div
2025 |                 class="eqn-shortcut-icon"
2026 |                 title="Updownarrow"
2027 |                 style="background-position: -198px -150px"
2028 |               >
2029 |                 &nbsp;
2030 |               </div>
2031 |             </td>
2032 |             <td>
2033 |               <code id="shortcut-32">\Updownarrow</code>
2034 |             </td>
2035 |           </tr>
2036 |         </tbody>
2037 |       </table>
2038 | 
2039 |       <h2 id="unlisted">
2040 |         Unlisted
2041 |         <a class="back-to-top" href="#" title="Back to the top">
2042 |           <i class="glyphicon glyphicon-arrow-up"></i>
2043 |         </a>
2044 |       </h2>
2045 |       <p>
2046 |         Those aren't in the menus, but they work! If anything is missing, feel
2047 |         free to
2048 |         <a
2049 |           href="https://github.com/Notuom/google-docs-equation-shortcuts/issues?q="
2050 |           target="_blank"
2051 |           >contribute on GitHub</a
2052 |         >.
2053 |       </p>
2054 | 
2055 |       <h3>Operations</h3>
2056 |       <p>
2057 |         These unlisted operations allow you to apply a treatment to some text.
2058 |       </p>
2059 |       <table class="table">
2060 |         <thead>
2061 |           <tr>
2062 |             <th>Element</th>
2063 |             <th>Shortcut</th>
2064 |           </tr>
2065 |         </thead>
2066 |         <tbody>
2067 |           <tr>
2068 |             <td>
2069 |               <img src="img/binom.png" alt="Binomial distribution" />
2070 |             </td>
2071 |             <td>
2072 |               <code>\choose</code>
2073 |               or
2074 |               <code>\binom</code>
2075 |               or
2076 |               <code>\binomab</code>
2077 |             </td>
2078 |           </tr>
2079 |           <tr>
2080 |             <td><img src="img/bar.png" alt="Bar over element" /></td>
2081 |             <td><code>\bar</code></td>
2082 |           </tr>
2083 |           <tr>
2084 |             <td><img src="img/hat.png" alt="Hat symbol over element" /></td>
2085 |             <td><code>\hat</code></td>
2086 |           </tr>
2087 |           <tr>
2088 |             <td><img src="img/vec.png" alt="Vector symbol over element" /></td>
2089 |             <td><code>\vec</code></td>
2090 |           </tr>
2091 |           <tr>
2092 |             <td><img src="img/tilde.png" alt="Tilde symbol over element" /></td>
2093 |             <td><code>\tilde</code></td>
2094 |           </tr>
2095 |           <tr>
2096 |             <td><img src="img/underline.png" alt="Underline element" /></td>
2097 |             <td><code>\underline</code></td>
2098 |           </tr>
2099 |           <tr>
2100 |             <td><img src="img/dot.png" alt="Dot over element" /></td>
2101 |             <td><code>\dot</code></td>
2102 |           </tr>
2103 |           <tr>
2104 |             <td><img src="img/ddot.png" alt="Double dots over element" /></td>
2105 |             <td><code>\ddot</code></td>
2106 |           </tr>
2107 |           <tr>
2108 |             <td><img src="img/max.png" alt="Maximum" /></td>
2109 |             <td><code>\max</code>, <code>\maxa</code></td>
2110 |           </tr>
2111 |           <tr>
2112 |             <td><img src="img/min.png" alt="Minimum" /></td>
2113 |             <td><code>\min</code> or <code>\mina</code></td>
2114 |           </tr>
2115 |           <tr>
2116 |             <td><img src="img/lima.png" alt="Limit A" /></td>
2117 |             <td><code>\lim</code> or <code>\lima</code></td>
2118 |           </tr>
2119 |           <tr>
2120 |             <td><img src="img/liminfa.png" alt="Limit Inferior A" /></td>
2121 |             <td><code>\liminfa</code></td>
2122 |           </tr>
2123 |           <tr>
2124 |             <td><img src="img/liminfab.png" alt="Limit Inferior A -> B" /></td>
2125 |             <td><code>\liminfab</code></td>
2126 |           </tr>
2127 |           <tr>
2128 |             <td><img src="img/limsupa.png" alt="Limit Superior A" /></td>
2129 |             <td><code>\limsupa</code></td>
2130 |           </tr>
2131 |           <tr>
2132 |             <td><img src="img/limsupab.png" alt="Limit Superior A -> B" /></td>
2133 |             <td><code>\limsupab</code></td>
2134 |           </tr>
2135 |         </tbody>
2136 |       </table>
2137 | 
2138 |       <h3>Symbols</h3>
2139 |       <p>These unlisted shortcuts render specific symbols.</p>
2140 |       <table class="table">
2141 |         <thead>
2142 |           <tr>
2143 |             <th>Element</th>
2144 |             <th>Shortcut</th>
2145 |           </tr>
2146 |         </thead>
2147 |         <tbody>
2148 |           <tr>
2149 |             <td><img src="img/angle.png" alt="Angle" /></td>
2150 |             <td><code>\angle</code></td>
2151 |           </tr>
2152 |           <tr>
2153 |             <td><img src="img/hbar.png" alt="H Bar" /></td>
2154 |             <td><code>\hbar</code></td>
2155 |           </tr>
2156 |           <tr>
2157 |             <td><img src="img/vdots.png" alt="Vertical dots" /></td>
2158 |             <td><code>\vdots</code></td>
2159 |           </tr>
2160 |           <tr>
2161 |             <td><img src="img/cdots.png" alt="C dots" /></td>
2162 |             <td><code>\cdots</code></td>
2163 |           </tr>
2164 |           <tr>
2165 |             <td><img src="img/ldots.png" alt="L dots" /></td>
2166 |             <td><code>\ldots</code></td>
2167 |           </tr>
2168 |           <tr>
2169 |             <td>∇</td>
2170 |             <td><code>\nabla</code></td>
2171 |           </tr>
2172 |           <tr>
2173 |             <td>⊢</td>
2174 |             <td><code>\vdash</code></td>
2175 |           </tr>
2176 |           <tr>
2177 |             <td>∥</td>
2178 |             <td><code>\parallel</code></td>
2179 |           </tr>
2180 |           <tr>
2181 |             <td>∝</td>
2182 |             <td><code>\propto</code></td>
2183 |           </tr>
2184 |         </tbody>
2185 |       </table>
2186 | 
2187 |       <h3>Keywords</h3>
2188 |       <p>
2189 |         These unlisted shortcuts apply a special treatment to some mathematical
2190 |         keywords, rendering them in normal font instead of the default italics.
2191 |       </p>
2192 |       <table class="table">
2193 |         <thead>
2194 |           <tr>
2195 |             <th>Element</th>
2196 |             <th>Shortcut</th>
2197 |           </tr>
2198 |         </thead>
2199 |         <tbody>
2200 |           <tr>
2201 |             <td><code>log</code></td>
2202 |             <td>
2203 |               <code>\log</code>
2204 |             </td>
2205 |           </tr>
2206 |           <tr>
2207 |             <td><code>ln</code></td>
2208 |             <td>
2209 |               <code>\ln</code>
2210 |             </td>
2211 |           </tr>
2212 |           <tr>
2213 |             <td><code>exp</code></td>
2214 |             <td>
2215 |               <code>\exp</code>
2216 |             </td>
2217 |           </tr>
2218 |           <tr>
2219 |             <td>Trigonometry functions</td>
2220 |             <td>
2221 |               <code>\sin</code>, <code>\arcsin</code>, <code>\cos</code>,
2222 |               <code>\arccos</code>, <code>\tan</code>, <code>\arctan</code>,
2223 |               <code>\csc</code>, <code>\sec</code>, <code>\cot</code>,
2224 |               <code>\tanh</code>, <code>\cosh</code>, <code>\sinh</code>,
2225 |               <code>\coth</code>
2226 |             </td>
2227 |           </tr>
2228 |           <tr>
2229 |             <td>Other keywords</td>
2230 |             <td>
2231 |               <code>\lg</code>, <code>\inf</code>, <code>\dim</code>,
2232 |               <code>\Pr</code>, <code>\hom</code>, <code>\sup</code>,
2233 |               <code>\arg</code>, <code>\deg</code>, <code>\gcd</code>,
2234 |               <code>\det</code>, <code>\ker</code>, <code>\Pr</code>
2235 |             </td>
2236 |           </tr>
2237 |         </tbody>
2238 |       </table>
2239 |     </div>
2240 | 
2241 |     <footer class="container">
2242 |       <hr />
2243 |       <h2 id="about">
2244 |         About this page
2245 |         <a class="back-to-top" href="#" title="Back to the top">
2246 |           <i class="glyphicon glyphicon-arrow-up"></i>
2247 |         </a>
2248 |       </h2>
2249 |       <p>
2250 |         The Google Docs equation editor is based on the LaTeX syntax, but LaTeX
2251 |         is much more complex, so if you are not familiar with it, it isn't
2252 |         exactly easy to try and find working shortcuts.
2253 |       </p>
2254 |       <p>
2255 |         I made this page when I discovered that the shortcuts are actually in
2256 |         the editor code (as an
2257 |         <code>aria-label</code>
2258 |         attribute on the buttons themselves), but aren't really available in an
2259 |         easy-to-search manner as far as I could find. I am not in any way
2260 |         affiliated with Google.
2261 |       </p>
2262 |       <p>
2263 |         Other people have since contributed to this list.
2264 |         <a
2265 |           href="https://github.com/Notuom/google-docs-equation-shortcuts/issues?q="
2266 |           target="_blank"
2267 |           >See GitHub issues for a list of contributed elements</a
2268 |         >.
2269 |       </p>
2270 |       <p>
2271 |         Note : some CSS and images were taken from Google Docs in order to build
2272 |         this page. No copyright infringement intended. If this is a problem,
2273 |         please
2274 |         <a
2275 |           href="https://github.com/Notuom/google-docs-equation-shortcuts"
2276 |           target="_blank"
2277 |           >let me know on GitHub</a
2278 |         >.
2279 |       </p>
2280 |       <p>Created in February 2017. Last updated in January 2021.</p>
2281 |     </footer>
2282 |   </body>
2283 | </html>
2284 | 


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