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    11. 

  11.     <title>KaTeX – The fastest math typesetting library for the web</title>
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  12.     <meta name="Description" content="KaTeX – The fastest math typesetting library for the web">
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    27. 

  27. 

  28.     <script defer src="https://cdn.jsdelivr.net/npm/clipboard@2.0.1/dist/clipboard.min.js" integrity="sha256-hIvIxeqhGZF+VVeM55k0mJvWpQ6gTkWk3Emc+NmowYA=" crossorigin="anonymous"></script>
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  29.     <script defer src="static/katex.min.js" crossorigin="anonymous"></script>
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  30.     <script defer src="js/index.js" type="text/javascript"></script>
    31. 

  31.   </head>
    32. 

  32.   <body>
    33. 

  33.     <div class="header"><div class="container">
    34. 

  34.       <h1 class="logo tex" data-expr="\KaTeX">KaTeX</h1>
    35. 

  35.       <div class="tagline">
    36. 

  36.         The <em>fastest</em> math typesetting library for the web.
    37. 

  37.       </div>
    38. 

  38.       <div class="cta">
    39. 

  39.         <a href="docs/node.html" role="button">
    40. 

  40.           <svg class="svg-inline--fa fa-download fa-w-16" aria-hidden="true" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M216 0h80c13.3 0 24 10.7 24 24v168h87.7c17.8 0 26.7 21.5 14.1 34.1L269.7 378.3c-7.5 7.5-19.8 7.5-27.3 0L90.1 226.1c-12.6-12.6-3.7-34.1 14.1-34.1H192V24c0-13.3 10.7-24 24-24zm296 376v112c0 13.3-10.7 24-24 24H24c-13.3 0-24-10.7-24-24V376c0-13.3 10.7-24 24-24h146.7l49 49c20.1 20.1 52.5 20.1 72.6 0l49-49H488c13.3 0 24 10.7 24 24zm-124 88c0-11-9-20-20-20s-20 9-20 20 9 20 20 20 20-9 20-20zm64 0c0-11-9-20-20-20s-20 9-20 20 9 20 20 20 20-9 20-20z"></path></svg>
    41. 

  41.           Installation
    42. 

  42.         </a>
    43. 

  43.         <a href="docs/api.html" role="button">
    44. 

  44.           <svg class="svg-inline--fa fa-book fa-w-14" aria-hidden="true" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512"><path fill="currentColor" d="M448 360V24c0-13.3-10.7-24-24-24H96C43 0 0 43 0 96v320c0 53 43 96 96 96h328c13.3 0 24-10.7 24-24v-16c0-7.5-3.5-14.3-8.9-18.7-4.2-15.4-4.2-59.3 0-74.7 5.4-4.3 8.9-11.1 8.9-18.6zM128 134c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm0 64c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm253.4 250H96c-17.7 0-32-14.3-32-32 0-17.6 14.4-32 32-32h285.4c-1.9 17.1-1.9 46.9 0 64z"></path></svg>
    45. 

  45.           Documentation
    46. 

  46.         </a>
    47. 

  47.         <a href="https://github.com/KaTeX/KaTeX" role="button">
    48. 

  48.           <svg class="svg-inline--fa fa-github fa-w-16" aria-hidden="true" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 496 512"><path fill="currentColor" d="M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3.3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5.3-6.2 2.3zm44.2-1.7c-2.9.7-4.9 2.6-4.6 4.9.3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3.7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3.3 2.9 2.3 3.9 1.6 1 3.6.7 4.3-.7.7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3.7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3.7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z"></path></svg>
    49. 

  49.           View on GitHub
    50. 

  50.         </a>
    51. 

  51.       </div>
    52. 

  52.       <div class="demo">
    53. 

  53.         <div class="demo-left">
    54. 

  54.           <div class="demo-instructions">
    55. 

  55.             <label for="demo-input">Type an expression:</label>
    56. 

  56.             <a id="options" aria-label="Options">
    57. 

  57.               <svg class="svg-inline--fa fa-cog fa-w-16" aria-hidden="true" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M444.788 291.1l42.616 24.599c4.867 2.809 7.126 8.618 5.459 13.985-11.07 35.642-29.97 67.842-54.689 94.586a12.016 12.016 0 0 1-14.832 2.254l-42.584-24.595a191.577 191.577 0 0 1-60.759 35.13v49.182a12.01 12.01 0 0 1-9.377 11.718c-34.956 7.85-72.499 8.256-109.219.007-5.49-1.233-9.403-6.096-9.403-11.723v-49.184a191.555 191.555 0 0 1-60.759-35.13l-42.584 24.595a12.016 12.016 0 0 1-14.832-2.254c-24.718-26.744-43.619-58.944-54.689-94.586-1.667-5.366.592-11.175 5.459-13.985L67.212 291.1a193.48 193.48 0 0 1 0-70.199l-42.616-24.599c-4.867-2.809-7.126-8.618-5.459-13.985 11.07-35.642 29.97-67.842 54.689-94.586a12.016 12.016 0 0 1 14.832-2.254l42.584 24.595a191.577 191.577 0 0 1 60.759-35.13V25.759a12.01 12.01 0 0 1 9.377-11.718c34.956-7.85 72.499-8.256 109.219-.007 5.49 1.233 9.403 6.096 9.403 11.723v49.184a191.555 191.555 0 0 1 60.759 35.13l42.584-24.595a12.016 12.016 0 0 1 14.832 2.254c24.718 26.744 43.619 58.944 54.689 94.586 1.667 5.366-.592 11.175-5.459 13.985L444.788 220.9a193.485 193.485 0 0 1 0 70.2zM336 256c0-44.112-35.888-80-80-80s-80 35.888-80 80 35.888 80 80 80 80-35.888 80-80z"></path></svg>
    58. 

  58.             </a>
    59. 

  59.           </div>
    60. 

  60.           <textarea id="demo-input" spellcheck="false">
    61. 

  61. % \f is defined as f(#1) using the macro
    62. 

  62. \f{x} = \int_{-\infty}^\infty
    63. 

  63.     \hat \f\xi\,e^{2 \pi i \xi x}
    64. 

  64.     \,d\xi</textarea>
    65. 

  65.         </div>
    66. 

  66.         <div class="demo-right">
    67. 

  67.           <div class="demo-instructions">
    68. 

  68.             See how it renders with <span class="tex" data-expr="\KaTeX">KaTeX</span>:
    69. 

  69.           </div>
    70. 

  70.           <div id="demo-output"></div>
    71. 

  71.         </div>
    72. 

  72.       </div>
    73. 

  73.     </div></div>
    74. 

  74. 

  75.     <div class="main"><div class="container">
    76. 

  76.       <div class="subtagline">
    77. 

  77.         Simple API, no dependencies – yet super-fast on all major browsers.
    78. 

  78.       </div>
    79. 

  79. 

  80.       <ul class="features">
    81. 

  81.         <li><b>Fast:</b> KaTeX renders its math synchronously and doesn&rsquo;t need to reflow the page.</li>
    82. 

  82.         <li><b>Print quality:</b> KaTeX&rsquo;s layout is based on Donald Knuth&rsquo;s TeX, the gold standard for math typesetting.</li>
    83. 

  83.         <li><b>Self contained:</b> KaTeX has no dependencies and can easily be bundled with your website resources.</li>
    84. 

  84.         <li><b>Server side rendering:</b> KaTeX produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML.</li>
    85. 

  85.       </ul>
    86. 

  86. 

  87.       <div class="examples">
    88. 

  88.         <div class="example tex" data-expr="\displaystyle \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }"></div>
    89. 

  89.         <div class="example tex" data-expr="\displaystyle \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)"></div>
    90. 

  90.         <div class="example tex" data-expr="\displaystyle {1 +  \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots }= \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for }\lvert q\rvert<1."></div>
    91. 

  91.       </div>
    92. 

  92. 

  93.       <div class="subtagline">
    94. 

  94.         Lightning-fast, even on pages with hundreds of expressions:
    95. 

  95.       </div>
    96. 

  96. 

  97.       <div class="comparison-labels">
    98. 

  98.         <div class="left tex" data-expr="\KaTeX"></div>
    99. 

  99.         <div class="right">MathJax</div>
    100. 

  100.       </div>
    101. 

  101.       <div class="comparison"></div>
    102. 

  102. 

  103.       <div class="cta">
    104. 

  104.         <a href="docs/node.html" role="button">
    105. 

  105.           <svg class="svg-inline--fa fa-download fa-w-16" aria-hidden="true" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M216 0h80c13.3 0 24 10.7 24 24v168h87.7c17.8 0 26.7 21.5 14.1 34.1L269.7 378.3c-7.5 7.5-19.8 7.5-27.3 0L90.1 226.1c-12.6-12.6-3.7-34.1 14.1-34.1H192V24c0-13.3 10.7-24 24-24zm296 376v112c0 13.3-10.7 24-24 24H24c-13.3 0-24-10.7-24-24V376c0-13.3 10.7-24 24-24h146.7l49 49c20.1 20.1 52.5 20.1 72.6 0l49-49H488c13.3 0 24 10.7 24 24zm-124 88c0-11-9-20-20-20s-20 9-20 20 9 20 20 20 20-9 20-20zm64 0c0-11-9-20-20-20s-20 9-20 20 9 20 20 20 20-9 20-20z"></path></svg>
    106. 

  106.           Installation
    107. 

  107.         </a>
    108. 

  108.         <a href="docs/api.html" role="button">
    109. 

  109.           <svg class="svg-inline--fa fa-book fa-w-14" aria-hidden="true" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512"><path fill="currentColor" d="M448 360V24c0-13.3-10.7-24-24-24H96C43 0 0 43 0 96v320c0 53 43 96 96 96h328c13.3 0 24-10.7 24-24v-16c0-7.5-3.5-14.3-8.9-18.7-4.2-15.4-4.2-59.3 0-74.7 5.4-4.3 8.9-11.1 8.9-18.6zM128 134c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm0 64c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm253.4 250H96c-17.7 0-32-14.3-32-32 0-17.6 14.4-32 32-32h285.4c-1.9 17.1-1.9 46.9 0 64z"></path></svg>
    110. 

  110.           Documentation
    111. 

  111.         </a>
    112. 

  112.         <a href="https://github.com/KaTeX/KaTeX" role="button">
    113. 

  113.           <svg class="svg-inline--fa fa-github fa-w-16" aria-hidden="true" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 496 512"><path fill="currentColor" d="M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3.3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5.3-6.2 2.3zm44.2-1.7c-2.9.7-4.9 2.6-4.6 4.9.3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3.7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3.3 2.9 2.3 3.9 1.6 1 3.6.7 4.3-.7.7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3.7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3.7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z"></path></svg>
    114. 

  114.           View on GitHub
    115. 

  115.         </a>
    116. 

  116.       </div>
    117. 

  117.     </div></div>
    118. 

  118. 

  119.     <div class="footer"><div class="container">
    120. 

  120.       <a class="ka-logo" href="https://www.khanacademy.org/"><img src="img/khan-academy-white.svg" alt="Khan Academy" width="172" height="28"></a>
    121. 

  121.       <span class="credits">
    122. 

  122.         Created by <a href="https://github.com/xymostech">Emily Eisenberg</a> and <a href="https://sophiebits.com/">Sophie Alpert</a>
    123. 

  123.         <br><a href="https://github.com/KaTeX/KaTeX/blob/master/LICENSE">MIT License</a> · Built from the hard work of <a href="https://github.com/KaTeX/KaTeX/graphs/contributors">many contributors</a>
    124. 

  124.       </span>
    125. 

  125.     </div></div>
    126. 

  126. 

  127.     <div id="options-panel">
    128. 

  128.       <h3>KaTeX Options</h3>
    129. 

  129.       <table>
    130. 

  130.         <tr>
    131. 

  131.           <td><label for="displayMode">displayMode</label></td>
    132. 

  132.           <td><input type="checkbox" id="displayMode" checked/></td>
    133. 

  133.         </tr>
    134. 

  134.         <tr>
    135. 

  135.           <td><label for="throwOnError">throwOnError</label></td>
    136. 

  136.           <td><input type="checkbox" id="throwOnError" checked/></td>
    137. 

  137.         </tr>
    138. 

  138.         <tr>
    139. 

  139.           <td><label for="errorColor">errorColor</label></td>
    140. 

  140.           <td><input type="color" id="errorColor" value="#cc0000"/></td>
    141. 

  141.         </tr>
    142. 

  142.         <tr>
    143. 

  143.           <td><label for="strict">strict</label></td>
    144. 

  144.           <td>
    145. 

  145.             <select id="strict">
    146. 

  146.               <option value="error">error</option>
    147. 

  147.               <option value="warn" selected>warn</option>
    148. 

  148.               <option value="ignore">ignore</option>
    149. 

  149.             </select>
    150. 

  150.           </td>
    151. 

  151.         </tr>
    152. 

  152.       </table>
    153. 

  153.       <h4><label for="macros">macros</label></h4>
    154. 

  154.       <textarea id="macros" placeholder="JSON">
    155. 

  155. {
    156. 

  156.     "\\f": "f(#1)"
    157. 

  157. }</textarea>
    158. 

  158. 

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