Difference between revisions of "HowToEnterMathSymbols"
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<syntaxhighlight lang="javascript"> |
<syntaxhighlight lang="javascript"> |
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//<![CDATA[ |
//<![CDATA[ |
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MathJax.Hub.Config({ |
MathJax.Hub.Config({ |
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tex2jax: { |
tex2jax: { |
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inlineMath: [ ["\\(","\\)"] ], |
inlineMath: [ ["\\(","\\)"] ], |
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displayMath: [ ['$$','$$'], ["\\[","\\]"] ], |
displayMath: [ ['$$','$$'], ["\\[","\\]"] ], |
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processEscapes: false, |
processEscapes: false, |
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element: "content", |
element: "content", |
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ignoreClass: "(tex2jax_ignore|mw-search-results|searchresults)" /* note: this is part of a regex, check the docs! */ |
ignoreClass: "(tex2jax_ignore|mw-search-results|searchresults)" /* note: this is part of a regex, check the docs! */ |
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}, |
}, |
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TeX: { |
TeX: { |
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Macros: { |
Macros: { |
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/* Wikipedia compatibility: these macros are used on Wikipedia */ |
/* Wikipedia compatibility: these macros are used on Wikipedia */ |
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empty: '\\emptyset', |
empty: '\\emptyset', |
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P: '\\unicode{xb6}', |
P: '\\unicode{xb6}', |
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Alpha: '\\unicode{x391}', /* FIXME: These capital Greeks don't show up in bold in \boldsymbol ... */ |
Alpha: '\\unicode{x391}', /* FIXME: These capital Greeks don't show up in bold in \boldsymbol ... */ |
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Beta: '\\unicode{x392}', |
Beta: '\\unicode{x392}', |
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Epsilon: '\\unicode{x395}', |
Epsilon: '\\unicode{x395}', |
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Zeta: '\\unicode{x396}', |
Zeta: '\\unicode{x396}', |
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Eta: '\\unicode{x397}', |
Eta: '\\unicode{x397}', |
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Iota: '\\unicode{x399}', |
Iota: '\\unicode{x399}', |
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Kappa: '\\unicode{x39a}', |
Kappa: '\\unicode{x39a}', |
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Mu: '\\unicode{x39c}', |
Mu: '\\unicode{x39c}', |
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Nu: '\\unicode{x39d}', |
Nu: '\\unicode{x39d}', |
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Pi: '\\unicode{x3a0}', |
Pi: '\\unicode{x3a0}', |
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Rho: '\\unicode{x3a1}', |
Rho: '\\unicode{x3a1}', |
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Sigma: '\\unicode{x3a3}', |
Sigma: '\\unicode{x3a3}', |
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Tau: '\\unicode{x3a4}', |
Tau: '\\unicode{x3a4}', |
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Chi: '\\unicode{x3a7}', |
Chi: '\\unicode{x3a7}', |
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C: '\\mathbb{C}', /* the complex numbers */ |
C: '\\mathbb{C}', /* the complex numbers */ |
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N: '\\mathbb{N}', /* the natural numbers */ |
N: '\\mathbb{N}', /* the natural numbers */ |
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Q: '\\mathbb{Q}', /* the rational numbers */ |
Q: '\\mathbb{Q}', /* the rational numbers */ |
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R: '\\mathbb{R}', /* the real numbers */ |
R: '\\mathbb{R}', /* the real numbers */ |
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Z: '\\mathbb{Z}', /* the integer numbers */ |
Z: '\\mathbb{Z}', /* the integer numbers */ |
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RR: '\\mathbb{R}', |
RR: '\\mathbb{R}', |
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ZZ: '\\mathbb{Z}', |
ZZ: '\\mathbb{Z}', |
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− | |||
NN: '\\mathbb{N}', |
NN: '\\mathbb{N}', |
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− | |||
QQ: '\\mathbb{Q}', |
QQ: '\\mathbb{Q}', |
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CC: '\\mathbb{C}', |
CC: '\\mathbb{C}', |
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FF: '\\mathbb{F}' |
FF: '\\mathbb{F}' |
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} |
} |
||
− | |||
} |
} |
||
− | |||
}); |
}); |
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− | |||
//]]> |
//]]> |
||
</syntaxhighlight> |
</syntaxhighlight> |
Revision as of 12:30, 24 July 2012
We use the MathJax Extension by Dirk Nuyens. This extension enables MathJax (http://www.mathjax.org/) which is a Javascript library written by Davide Cervone.
Usage
The following math environments are defined for inline style math:
\(...\)
and<math>...</math>
.
And the following math environments are defined for display style math:
$$...$$
(can be turned off, even per page),\[...\]
,\begin{...}...\end{...}
and:<math>...</math>
.
MathJax produces nice and scalable mathematics, see their website (http://www.mathjax.org/) for a demonstration. This extension also enables the usage of \label{}
and \eqref{}
tags with automatic formula numbering. If needed you can still hand label by using \tag{}
.
Example
Latex Code
<syntaxhighlight lang="latex"> \(
\newcommand{\Re}{\mathrm{Re}\,} \newcommand{\pFq}[5]{{}_{#1}\mathrm{F}_{#2} \left( \genfrac{}{}{0pt}{}{#3}{#4} \bigg| {#5} \right)}
\)
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. </syntaxhighlight>
(Which comes from a preprint of Jon M. Borwein, et. al. Some arithmetic properties of short random walk integrals.)
Rendered text
\(
\newcommand{\Re}{\mathrm{Re}\,} \newcommand{\pFq}[5]{{}_{#1}\mathrm{F}_{#2} \left( \genfrac{}{}{0pt}{}{#3}{#4} \bigg| {#5} \right)}
\)
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.
Additional Information
- This documentation comes from the MathJax Extension page. Additional documentation on using MathJax can be found at www.mathjax.org.
- Our MathJax config file defines some potentially helpful macros:
<syntaxhighlight lang="javascript">
//<![CDATA[
MathJax.Hub.Config({ tex2jax: { inlineMath: [ ["\\(","\\)"] ], displayMath: [ ['$$','$$'], ["\\[","\\]"] ], processEscapes: false, element: "content", ignoreClass: "(tex2jax_ignore|mw-search-results|searchresults)" /* note: this is part of a regex, check the docs! */ }, TeX: { Macros: { /* Wikipedia compatibility: these macros are used on Wikipedia */ empty: '\\emptyset', P: '\\unicode{xb6}', Alpha: '\\unicode{x391}', /* FIXME: These capital Greeks don't show up in bold in \boldsymbol ... */ Beta: '\\unicode{x392}', Epsilon: '\\unicode{x395}', Zeta: '\\unicode{x396}', Eta: '\\unicode{x397}', Iota: '\\unicode{x399}', Kappa: '\\unicode{x39a}', Mu: '\\unicode{x39c}', Nu: '\\unicode{x39d}', Pi: '\\unicode{x3a0}', Rho: '\\unicode{x3a1}', Sigma: '\\unicode{x3a3}', Tau: '\\unicode{x3a4}', Chi: '\\unicode{x3a7}', C: '\\mathbb{C}', /* the complex numbers */ N: '\\mathbb{N}', /* the natural numbers */ Q: '\\mathbb{Q}', /* the rational numbers */ R: '\\mathbb{R}', /* the real numbers */ Z: '\\mathbb{Z}', /* the integer numbers */ RR: '\\mathbb{R}', ZZ: '\\mathbb{Z}', NN: '\\mathbb{N}', QQ: '\\mathbb{Q}', CC: '\\mathbb{C}', FF: '\\mathbb{F}' } } });
//]]> </syntaxhighlight>