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.

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]
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)
References in periodicals archive ?
The receiver knows the equation that the sender has used to disguise the wave and can therefore use the inverse function to cast off that disguise.
For each level antidepressant dosage, the depression score was an inverse function of rising time.
Indeed, the inverse function may have an analytic continuation to A, with
By definition every bi-starlike analytic function f (z) in U is associated with a function Q(z) in the Caratheodory class P and its inverse function g(w) is associated with another function P(w) [member of] P.
First, the inverse function definition needs to be taken into account.
We also define a logarithm as a function--specifically an inverse function to raising a number to a power where the exponent is the output of the function.
Daniel Patrick Moynihan once wrote, "The amount of violations of human rights in a country is always an inverse function of the amount of complaints about human rights violations heard from there.
In all cases, the degree of attenuation by scattering is an inverse function of the wavelength, i.
The normal cutoff value for the MLL FISH assay was calculated using the beta inverse function with a probability of 95% [=BETAINV(probability, alpha, beta,[A],[B]) available in Microsoft Excel (Microsoft Corp, Redmond, Washington)].
The vector of parameters [theta], the nonlinear function g(u(k)) and the inverse function to the function v(k) = g(u(k)) must be found.
The hollowness of the so called trickle-down economic paradigm is quite vivid as nothing seems to trickle down to the lower segments and their predicament is inverse function of the greed and rapacity of the exploiters.
In this paper, using the PBH test for detectability [5] of linear systems and the inverse function theorem for differentiable mappings [6], we derive useful necessary conditions for the existence of local exponential observers for nonlinear control systems.

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