inverse function

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inverse function

n. Mathematics
A function whose relation to a given function is such that their composite is the identity function. It is often found by interchanging dependent and independent variables.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

in′verse func′tion


n.
Math. the function that replaces another function when the dependent and independent variables of the first function are interchanged for an appropriate set of values of the dependent variable.
[1810–20]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.inverse function - a function obtained by expressing the dependent variable of one function as the independent variable of anotherinverse function - a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
function, mapping, mathematical function, single-valued function, map - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
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References in periodicals archive ?
Then there exist an invertible function p [member of] [H.sup.[infinity]]([OMEGA]) and [z.sub.1], [z.sub.2], ..., [z.sub.m] [member of] [OMEGA] [intersection] [[phi].sup.-1]([lambda]) such that
In much existing work, some assume that the nonlinear part of Wiener systems has an invertible function representation over the operating range of interest [3].
Any single path with no branch options can be associated with an invertible function. As one example, the left-to-right sequence x + ln x represents y = c ln(ax + b) for any constants a, b and c, having a associated with x, b with + and c with x, while its inverse function is represented by the right-to-left sequence / - exp / for x = ([e.sup.y/c] - b) /a.