Volume 2007-02-08 22:58:54 2007-06-08 15:36:34 Definition Changes for correction #26 ('capitalization, PACS, other terms'). % this is the default PlanetPhysics 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 \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: $$ V = \int_{\Omega} dV $$