=head1 NAME Acme::Pod::MathJax - All your math are belong to us! =head1 DESCRIPTION For now this isn't a module as such, but rather a way to test different pod-renderer's abilities to handle MathJax. The following examples are taken directly from MathJax's website. =head1 EXAMPLES The following equations are represented in the HTML source code as LaTeX expressions. =head2 The Lorenz Equations \begin{aligned} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{aligned} =head2 The Cauchy-Schwarz Inequality $\left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)$ =head2 A Cross Product Formula $\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{vmatrix}$ =head2 The probability of getting $$k$$ heads when flipping $$n$$ coins is $P(E) = {n \choose k} p^k (1-p)^{ n-k}$ =head2 An Identity of Ramanujan $\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } }$ =head2 A Rogers-Ramanujan Identity $1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for |q| E 1}.$ =head2 Maxwell's Equations \begin{aligned} \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{aligned} 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. =head1 SEE ALSO =over =item L =item L =item L =back =head1 SOURCE REPOSITORY L =head1 AUTHOR Joel Berger, Ejoel.a.berger@gmail.comE =head1 COPYRIGHT AND LICENSE All content except math examples Copyright (C) 2013 by Joel Berger This library is free software; you can redistribute it and/or modify it under the same terms as Perl itself. =for html