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单词 InverseNumber
释义

inverse number


The inverse number or reciprocal number of a non-zero real or complex numberMathworldPlanetmathPlanetmath a may be denoted by a-1, and it the quotientPlanetmathPlanetmath 1a (so, it is really the -1th power of a).

  • Two numbers are inverse numbers of each other if and only if their product is equal to 1 (cf. opposite inversesMathworldPlanetmathPlanetmathPlanetmath).

  • If a (0) is given in a quotient form bc, then its inverse number is simply

    (bc)-1=cb.
  • Forming the inverse number is also a multiplicative function, i.e.

    (bc)-1=b-1c-1

    (to be more precise, it is an automorphismMathworldPlanetmathPlanetmathPlanetmath of the multiplicative groupMathworldPlanetmath of resp. ).

Titleinverse number
Canonical nameInverseNumber
Date of creation2013-03-22 14:53:46
Last modified on2013-03-22 14:53:46
Ownerpahio (2872)
Last modified bypahio (2872)
Numerical id12
Authorpahio (2872)
Entry typeDefinition
Classificationmsc 12E99
Classificationmsc 00A05
Synonyminverse
Synonymreciprocal
Related topicConditionOfOrthogonality
Related topicInverseFormingInProportionToGroupOperation
Definesreciprocal number
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更新时间:2025/5/4 23:08:16