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| Title of object: |
arg min |
| Canonical Name: |
ArgMin |
| Type: |
Definition |
| Created on: |
2004-07-07 22:39:15 |
| Modified on: |
2004-07-07 22:39:15 |
| Classification: |
msc:00A05 |
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 |
Content:
$\min_{x\in S} f(x)$ is the minimum of $f(x)$ when $x$ runs over all elements in a set~$S$.
$\arg \min_{x \in S} f(x)$ returns one of such $x$ that minimizes the function~$f$. |
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