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Viewing Version 7 of 'data stream'
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Title of object: data stream
Canonical Name: DataStream
Type: Definition

Created on: 2005-12-27 07:46:37
Modified on: 2007-06-23 13:42:36

Creator: michal
Modifier: michal
Author: michal

Classification: msc:11B83
Keywords: sequence
Defines: Stream of Tuples
Synonyms: data stream=time series
data stream=sequence of tuples
data stream=stream

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

Changes for correction #12603 ('capitalization').

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:

A {\it data stream} is an ordered pair $\left( s,\Delta \right) $

where:

1. $s$ is a sequence of tuples,

2. $\Delta $ is the sequence of time intervals (i.e. Rational or Real numbers) and each $\Delta _{n} > 0$.