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26-00-AbelianFunction.tex
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26-00-AbelianFunction.tex
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\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{AbelianFunction}
\pmcreated{2013-03-22 14:43:34}
\pmmodified{2013-03-22 14:43:34}
\pmowner{vmoraru}{1243}
\pmmodifier{vmoraru}{1243}
\pmtitle{abelian function}
\pmrecord{5}{36354}
\pmprivacy{1}
\pmauthor{vmoraru}{1243}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{26-00}
\pmsynonym{hyperelliptic function}{AbelianFunction}
\endmetadata
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%%%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
\begin{document}
An abelian or hyperelliptic function is a generalisation of an elliptic function. It is a function of two variables with four periods.
In a similar way to an elliptic function it can also be regarded as the inverse function to certain integrals (called abelian or hyperelliptic integrals) of the form
$$\int\frac{dz}{R(z)} $$
where $R$ is a polynomial of degree greater than 4.
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\end{document}