MathJax: Difference between revisions

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'''[http://www.mathjax.org/ MathJax MathJax]''' is a client-side javascript that allows for very nice rendering of formula written in LaTeX, much like [[jsMath]].
'''[http://www.mathjax.org/ MathJax]''' is a client-side javascript that allows for very nice rendering of formula written in LaTeX, much like [[jsMath]].


The advantages of MathJax over jsMath:
The advantages of MathJax over jsMath:

Revision as of 13:41, 15 January 2014

MathJax is a client-side javascript that allows for very nice rendering of formula written in LaTeX, much like jsMath.

The advantages of MathJax over jsMath:

  • MathJax seems actively developed for now
  • MathJax uses server-side fonts, and so does not require any configuration on the client side to get better results
  • MathJax supports LaTeX macros
  • Better LaTeX support

Example

From [1]:

$

 \newcommand{\Re}{\mathrm{Re}\,}
 \newcommand{\pFq}[5]{{}_{#1}\mathrm{F}_{#2} \left( \genfrac{}{}{0pt}{}{#3}{#4} \bigg| {#5} \right)}

$

We consider, for various values of $s$, the $n$-dimensional integral \begin{align}

 \label{def:Wns}
 W_n (s)
 &:= 
 \int_{[0, 1]^n} 
   \left| \sum_{k = 1}^n \mathrm{e}^{2 \pi \mathrm{i} \, x_k} \right|^s \mathrm{d}\boldsymbol{x}

\end{align} which occurs in the theory of uniform random walk integrals in the plane, where at each step a unit-step is taken in a random direction. As such, the integral \eqref{def:Wns} expresses the $s$-th moment of the distance to the origin after $n$ steps.

By experimentation and some sketchy arguments we quickly conjectured and strongly believed that, for $k$ a nonnegative integer \begin{align}

 \label{eq:W3k}
 W_3(k) &= \Re \, \pFq32{\frac12, -\frac k2, -\frac k2}{1, 1}{4}.

\end{align} Appropriately defined, \eqref{eq:W3k} also holds for negative odd integers. The reason for \eqref{eq:W3k} was long a mystery, but it will be explained at the end of the paper.