MathJax: Difference between revisions
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* MathJax supports LaTeX macros |
* MathJax supports LaTeX macros |
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* Better LaTeX support |
* Better LaTeX support |
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$\newcommand{\ud}{\,\mathrm{d}}$ |
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== Example == |
== Example == |
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Simple examples: |
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{| class=wikitable |
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!formula!!Textstyle (<code>$...$</code>)!!Displaystyle (<code>$$...$$</code>) |
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|<code>\frac{x}{1+\frac{x}{1+y}}</code> |
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|$\frac{x}{1+\frac{x}{1+y}}$ |
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|$$\frac{x}{1+\frac{x}{1+y}}$$ |
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|- |
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|<code>\newcommand{\ud}{\,\mathrm{d}} |
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\int_a^b f(x)\ud x</code> |
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|$\int_0^\infty f(x)\ud x$ |
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|$$\int_0^\infty f(x)\ud x$$ |
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|} |
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From [http://www.mediawiki.org/wiki/Extension:MathJax]: |
From [http://www.mediawiki.org/wiki/Extension:MathJax]: |
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{| class=wikitable |
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⚫ | |||
|- |
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⚫ | |||
$ |
$ |
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\newcommand{\Re}{\mathrm{Re}\,} |
\newcommand{\Re}{\mathrm{Re}\,} |
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The reason for \eqref{eq:W3k} was long a mystery, but it will be explained |
The reason for \eqref{eq:W3k} was long a mystery, but it will be explained |
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at the end of the paper. |
at the end of the paper. |
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|} |
Revision as of 13:56, 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
$\newcommand{\ud}{\,\mathrm{d}}$
Example
Simple examples:
formula | Textstyle ($...$ ) |
Displaystyle ($$...$$ )
|
---|---|---|
\frac{x}{1+\frac{x}{1+y}}
|
$\frac{x}{1+\frac{x}{1+y}}$ | $$\frac{x}{1+\frac{x}{1+y}}$$ |
\newcommand{\ud}{\,\mathrm{d}}
|
$\int_0^\infty f(x)\ud x$ | $$\int_0^\infty f(x)\ud x$$ |
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. |