%%% This file is part of PlanetMath snapshot of 2009-01-12
%%% Primary Title: mapping
%%% Primary Category Code: 03E20
%%% Filename: Mapping.tex
%%% Version: 15
%%% Owner: rmilson
%%% Author(s): CWoo, rmilson
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\begin{document}




The term \emph{mapping} is a synonym of \htmladdnormallink{function}{http://planetmath.org/encyclopedia/Function.html}, although usage patterns suggest that ``mapping'' is the more generic term.

In a geometric context, the term ``function'' often connotes a mapping whose purpose is to assign values to the elements of its \htmladdnormallink{domain}{http://planetmath.org/encyclopedia/Domain3.html}. In other words, a function defines a field of values. By contrast, ``mapping'' has a more geometric \htmladdnormallink{connotation}{http://planetmath.org/encyclopedia/SignRelation.html}, as in ``a mapping of one space to another''.

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