MathJax HowTo

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    Version as of 15:08, 10 Jun 2025

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    <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>

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