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- <!DOCTYPE html>
- <html>
- <head>
- <title>Wait Until MathJax is Finished Before Showing Page</title>
- <!-- Copyright (c) 2012-2015 The MathJax Consortium -->
- <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
- <meta http-equiv="X-UA-Compatible" content="IE=edge" />
- <!--
- |
- | This shows how to prevent the page from being displayed until after
- | MathJax has finished typesetting all the math. This avoids the
- | "flicker" that occurs as source TeX code is removed from the page and
- | then typeset. You probably don't want to do this on a page with lots
- | of math.
- |
- |-->
- <script type="text/x-mathjax-config">
- //
- // The document is hidden until MathJax is finished, then
- // this function runs, making it visible again.
- //
- MathJax.Hub.Queue(function () {
- document.getElementById("hide_page").style.visibility = "";
- });
- </script>
- <script type="text/javascript" src="../MathJax.js?config=TeX-AMS_HTML-full"></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>
- <!--
- |
- | This DIV keeps the page blank until after the math is typeset.
- |-->
- <div id="hide_page" style="visibility:hidden">
- <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>
- </div>
- </body>
- </html>
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