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Viewing Version 3 of 'monotonically decreasing'
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Title of object: monotonically decreasing
Canonical Name: MonotonicallyDecreasing
Type: Definition

Created on: 2002-02-18 21:33:39
Modified on: 2002-08-18 17:55:25

Creator: akrowne
Modifier: akrowne
Author: akrowne

Classification: msc:40-00
Synonyms: monotonically decreasing=monotone decreasing
monotonically decreasing=strictly decreasing

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

Changes for correction #2381 ('The first > should be a <').

Preamble:

\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
%\usepackage{psfrag}
%\usepackage{graphicx}
%\usepackage{xypic}
Content:

A sequence $(s_n)$ is \emph{monotonically decreasing} if
$$ s_m > s_n \;\forall\; m > n $$
Compare this to monotonically nonincreasing.