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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 |
| 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. |
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