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sample-all-at-once.html (3696B)


      1 <!DOCTYPE html>
      2 <html>
      3 <head>
      4 <title>Wait Until MathJax is Finished Before Showing Page</title>
      5 <!-- Copyright (c) 2012-2015 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 <!--
     11  |
     12  |  This shows how to prevent the page from being displayed until after
     13  |  MathJax has finished typesetting all the math.  This avoids the
     14  |  "flicker" that occurs as source TeX code is removed from the page and
     15  |  then typeset.  You probably don't want to do this on a page with lots
     16  |  of math.
     17  |  
     18  |-->
     19 
     20 <script type="text/x-mathjax-config">
     21   //
     22   //  The document is hidden until MathJax is finished, then
     23   //   this function runs, making it visible again.
     24   //
     25   MathJax.Hub.Queue(function () {
     26     document.getElementById("hide_page").style.visibility = "";
     27   });
     28 </script>
     29 <script type="text/javascript" src="../MathJax.js?config=TeX-AMS_HTML-full"></script>
     30 
     31 <style>
     32 h1 {text-align:center}
     33 h2 {
     34   font-weight: bold;
     35   background-color: #DDDDDD;
     36   padding: .2em .5em;
     37   margin-top: 1.5em;
     38   border-top: 3px solid #666666;
     39   border-bottom: 2px solid #999999;
     40 }
     41 </style>
     42 </head>
     43 <body>
     44 
     45 <!-- 
     46  | 
     47  | This DIV keeps the page blank until after the math is typeset.
     48  |-->
     49 <div id="hide_page" style="visibility:hidden">
     50 
     51 <noscript>
     52 <div style="color:#CC0000; text-align:center">
     53 <b>Warning: <a href="http://www.mathjax.org/">MathJax</a>
     54 requires JavaScript to process the mathematics on this page.<br />
     55 If your browser supports JavaScript, be sure it is enabled.</b>
     56 </div>
     57 <hr>
     58 </noscript>
     59 
     60 <h1>Sample MathJax Equations</h1>
     61 
     62 <blockquote>
     63 
     64 <h2>The Lorenz Equations</h2>
     65 
     66 <p>
     67 \begin{align}
     68 \dot{x} & = \sigma(y-x) \\
     69 \dot{y} & = \rho x - y - xz \\
     70 \dot{z} & = -\beta z + xy
     71 \end{align}
     72 </p>
     73 
     74 <h2>The Cauchy-Schwarz Inequality</h2>
     75 
     76 <p>\[
     77 \left( \sum_{k=1}^n a_k b_k \right)^{\!\!2} \leq
     78  \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)
     79 \]</p>
     80 
     81 <h2>A Cross Product Formula</h2>
     82 
     83 <p>\[
     84   \mathbf{V}_1 \times \mathbf{V}_2 =
     85    \begin{vmatrix}
     86     \mathbf{i} & \mathbf{j} & \mathbf{k} \\
     87     \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\
     88     \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \\
     89    \end{vmatrix}
     90 \]</p>
     91 
     92 <h2>The probability of getting \(k\) heads when flipping \(n\) coins is:</h2>
     93 
     94 <p>\[P(E) = {n \choose k} p^k (1-p)^{ n-k} \]</p>
     95 
     96 <h2>An Identity of Ramanujan</h2>
     97 
     98 <p>\[
     99    \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} =
    100      1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}}
    101       {1+\frac{e^{-8\pi}} {1+\ldots} } } }
    102 \]</p>
    103 
    104 <h2>A Rogers-Ramanujan Identity</h2>
    105 
    106 <p>\[
    107   1 +  \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots =
    108     \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})},
    109      \quad\quad \text{for $|q|<1$}.
    110 \]</p>
    111 
    112 <h2>Maxwell's Equations</h2>
    113 
    114 <p>
    115 \begin{align}
    116   \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
    117   \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
    118   \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
    119   \nabla \cdot \vec{\mathbf{B}} & = 0
    120 \end{align}
    121 </p>
    122 
    123 <h2>In-line Mathematics</h2>
    124 
    125 <p>Finally, while display equations look good for a page of samples, the
    126 ability to mix math and text in a paragraph is also important.  This
    127 expression \(\sqrt{3x-1}+(1+x)^2\) is an example of an inline equation.  As
    128 you see, MathJax equations can be used this way as well, without unduly
    129 disturbing the spacing between lines.</p>
    130 
    131 
    132 </blockquote>
    133 
    134 </div>
    135 
    136 </body>
    137 </html>