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<record version="5" id="6218">
 <title>real function</title>
 <name>RealFunction</name>
 <created>2004-09-24 03:10:48</created>
 <modified>2007-07-22 03:15:27</modified>
 <type>Topic</type>
<parent id="360">function</parent>
 <creator id="6075" name="rspuzio"/>
 <author id="2872" name="pahio"/>
 <author id="10146" name="rm50"/>
 <author id="6075" name="rspuzio"/>
 <classification>
	<category scheme="msc" code="26A99"/>
 </classification>
 <related>
	<object name="RationalFunction"/>
	<object name="ComplexFunction"/>
 </related>
 <preamble>% 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}

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%\usepackage{psfrag}
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%\usepackage{graphicx}
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%\usepackage{amsthm}
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 <content>A {\em real function} is a function from a subset of $\mathbb{R}$ to $\mathbb{R}$.
Without imposing extra conditions, there is really not much one can say about real
functions.  Therefore, the usual procedure is to select some subclass of real 
functions according to some criterion such as differentiability or integrability
and focus attention on this subclass.  There follows a list of such criteria:

\begin{itemize}
\item elementary function
\item 
\end{itemize}</content>
</record>
