Talk:PlanetPhysics/Volume

Original TeX Content from PlanetPhysics Archive
%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: volume %%% Primary Category Code: 06.30.Bp %%% Filename: Volume.tex %%% Version: 3 %%% Owner: PhysBrain %%% Author(s): PhysBrain %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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\emph{Volume} is a property associated with a finite region of space. The volume occupied by a given region of space $\Omega$ is typically denoted by the symbol $V$. It is always possible to subdivide a given region into smaller sub-regions. The symbol $dV$ is often used to denote the volume occupied by an arbitrarily small region of space. Thus the total volume occupied by $\Omega$ can be expressed as: $$ V = \int_{\Omega} dV $$

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