<!DOCTYPE html> <html> <head> <title>MathJax Test Page</title> <!-- Copyright (c) 2009-2015 The MathJax Consortium --> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> <meta http-equiv="X-UA-Compatible" content="IE=edge" /> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ extensions: ["tex2jax.js"], jax: ["input/TeX","output/HTML-CSS"], tex2jax: {inlineMath: [["$","$"],["\\(","\\)"]]} }); </script> <script type="text/javascript" src="../MathJax.js"></script> <style> h1 {text-align:center} h2 { font-weight: bold; background-color: #DDDDDD; padding: .2em .5em; margin-top: 1.5em; border-top: 3px solid #666666; border-bottom: 2px solid #999999; } </style> </head> <body> <noscript> <div style="color:#CC0000; text-align:center"> <b>Warning: <a href="http://www.mathjax.org/">MathJax</a> requires JavaScript to process the mathematics on this page.<br /> If your browser supports JavaScript, be sure it is enabled.</b> </div> <hr> </noscript> <h1>Sample MathJax Equations</h1> <blockquote> <h2>The Lorenz Equations</h2> <p> \begin{align} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{align} </p> <h2>The Cauchy-Schwarz Inequality</h2> <p>\[ \left( \sum_{k=1}^n a_k b_k \right)^{\!\!2} \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \]</p> <h2>A Cross Product Formula</h2> <p>\[ \mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \\ \end{vmatrix} \]</p> <h2>The probability of getting \(k\) heads when flipping \(n\) coins is:</h2> <p>\[P(E) = {n \choose k} p^k (1-p)^{ n-k} \]</p> <h2>An Identity of Ramanujan</h2> <p>\[ \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } } \]</p> <h2>A Rogers-Ramanujan Identity</h2> <p>\[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for $|q|<1$}. \]</p> <h2>Maxwell's Equations</h2> <p> \begin{align} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{align} </p> <h2>In-line Mathematics</h2> <p>Finally, while display equations look good for a page of samples, the ability to mix math and text in a paragraph is also important. This expression \(\sqrt{3x-1}+(1+x)^2\) is an example of an inline equation. As you see, MathJax equations can be used this way as well, without unduly disturbing the spacing between lines.</p> </blockquote> </body> </html>