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Viewing Version 2 of 'support'
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Title of object: support
Canonical Name: Support2
Type: Definition

Created on: 2002-09-07 15:21:50
Modified on: 2002-09-15 15:43:16

Creator: Henry
Modifier: Henry
Author: Henry

Classification: msc:68Q30, msc:60A99

Revision comment (for changes between this and next version):

Changes for correction #9968 ('add a word and change D').

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}

% 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
%\PMlinkescapeword{theory}
Content:

If $f$ is a distribution on $\Omega$ then the \emph{support} of $D$ is $\{x\in \Omega\mid f(x)>0\}$. That is, the set of $x$ which have a positive probability under the distribution.