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Latest revision as of 14:32, 18 October 2023

MediaWiki has been installed.

Consult the User's Guide for information on using the wiki software.

@@ Line 1: / Line 1: @@
-'''MediaWiki has been successfully installed.'''
+<strong>MediaWiki has been installed.</strong>
-Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using the wiki software.
+Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software.
 == Getting started ==
-* [http://www.mediawiki.org/wiki/Manual:Configuration_settings Configuration settings list]
+* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Configuration_settings Configuration settings list]
-* [http://www.mediawiki.org/wiki/Manual:FAQ MediaWiki FAQ]
+* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:FAQ MediaWiki FAQ]
-* [https://lists.wikimedia.org/mailman/listinfo/mediawiki-announce MediaWiki release mailing list]
+* [https://lists.wikimedia.org/postorius/lists/mediawiki-announce.lists.wikimedia.org/ MediaWiki release mailing list]
-<!-- some LaTeX macros we want to use: -->
+* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]
-$
+* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]
-  \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.

Main Page: Difference between revisions

Latest revision as of 14:32, 18 October 2023

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