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单词 ConstantFunction
释义

constant function


Definition Suppose X and Y are sets and f:XY is a functionMathworldPlanetmath.Then f is a constant function if f(a)=f(b) for all a,bin X.

0.0.1 Properties

  1. 1.

    The compositionMathworldPlanetmath of a constant functionwith any function (for which composition is defined) is a constant function.

  2. 2.

    A constant map between topological spacesMathworldPlanetmath is continuous.

Titleconstant function
Canonical nameConstantFunction
Date of creation2013-03-22 13:57:35
Last modified on2013-03-22 13:57:35
Ownermathcam (2727)
Last modified bymathcam (2727)
Numerical id5
Authormathcam (2727)
Entry typeDefinition
Classificationmsc 03E20
Synonymconstant function
Synonymconstant map
Synonymconstant mapping
Related topicFunction
Related topicHomotopyOfMaps
Related topicZeroMap
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更新时间:2025/5/2 23:49:21