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1 <!DOCTYPE html> 2 <html> 3 <head> 4 <title>MathJax Test Page</title> 5 <!-- Copyright (c) 2009-2015 The MathJax Consortium --> 6 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> 7 <meta http-equiv="X-UA-Compatible" content="IE=edge" /> 8 <meta name="viewport" content="width=device-width, initial-scale=1"> 9 10 <script type="text/x-mathjax-config"> 11 MathJax.Hub.Config({ 12 extensions: ["tex2jax.js"], 13 jax: ["input/TeX","output/HTML-CSS"], 14 tex2jax: {inlineMath: [["$","$"],["\\(","\\)"]]} 15 }); 16 </script> 17 <script type="text/javascript" src="../MathJax.js"></script> 18 19 <style> 20 h1 {text-align:center} 21 h2 { 22 font-weight: bold; 23 background-color: #DDDDDD; 24 padding: .2em .5em; 25 margin-top: 1.5em; 26 border-top: 3px solid #666666; 27 border-bottom: 2px solid #999999; 28 } 29 </style> 30 </head> 31 <body> 32 33 <noscript> 34 <div style="color:#CC0000; text-align:center"> 35 <b>Warning: <a href="http://www.mathjax.org/">MathJax</a> 36 requires JavaScript to process the mathematics on this page.<br /> 37 If your browser supports JavaScript, be sure it is enabled.</b> 38 </div> 39 <hr> 40 </noscript> 41 42 <h1>Sample MathJax Equations</h1> 43 44 <blockquote> 45 46 <h2>The Lorenz Equations</h2> 47 48 <p> 49 \begin{align} 50 \dot{x} & = \sigma(y-x) \\ 51 \dot{y} & = \rho x - y - xz \\ 52 \dot{z} & = -\beta z + xy 53 \end{align} 54 </p> 55 56 <h2>The Cauchy-Schwarz Inequality</h2> 57 58 <p>\[ 59 \left( \sum_{k=1}^n a_k b_k \right)^{\!\!2} \leq 60 \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) 61 \]</p> 62 63 <h2>A Cross Product Formula</h2> 64 65 <p>\[ 66 \mathbf{V}_1 \times \mathbf{V}_2 = 67 \begin{vmatrix} 68 \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 69 \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ 70 \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \\ 71 \end{vmatrix} 72 \]</p> 73 74 <h2>The probability of getting \(k\) heads when flipping \(n\) coins is:</h2> 75 76 <p>\[P(E) = {n \choose k} p^k (1-p)^{ n-k} \]</p> 77 78 <h2>An Identity of Ramanujan</h2> 79 80 <p>\[ 81 \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} = 82 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} 83 {1+\frac{e^{-8\pi}} {1+\ldots} } } } 84 \]</p> 85 86 <h2>A Rogers-Ramanujan Identity</h2> 87 88 <p>\[ 89 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = 90 \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, 91 \quad\quad \text{for $|q|<1$}. 92 \]</p> 93 94 <h2>Maxwell's Equations</h2> 95 96 <p> 97 \begin{align} 98 \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ 99 \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ 100 \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ 101 \nabla \cdot \vec{\mathbf{B}} & = 0 102 \end{align} 103 </p> 104 105 <h2>In-line Mathematics</h2> 106 107 <p>Finally, while display equations look good for a page of samples, the 108 ability to mix math and text in a paragraph is also important. This 109 expression \(\sqrt{3x-1}+(1+x)^2\) is an example of an inline equation. As 110 you see, MathJax equations can be used this way as well, without unduly 111 disturbing the spacing between lines.</p> 112 113 114 </blockquote> 115 116 </body> 117 </html>