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 ?
[[phi].sup.-1], [[PHI].sup.-1] denote the inverse functions of [phi], [PHI] and ([x.sub.1], [y.sub.1], [z.sub.1]) [member of] [OMEGA] is chosen so that
Barring, "Hardware architectures for the inverse square root and the inverse functions using harmonized parabolic synthesis", M.S.
Since univalent functions are one-to-one, they are invertible and the inverse functions need not be defined on the entire unit disk U.
You will also learn about composition of functions and inverse functions; Unit 2 shows how algebra is used to solve puzzles involving a "mystery number." Here, you learn to write and solve equations to find the answers to those dreaded "word problems." We will investigate equations with two variables, linear functions, and systems of equations, applying these to word problems as well; Unit 3 is about relationships.
Two-dimensional curve is interpolated via different functions as probability distribution functions: polynomial, sinus, cosine, tangent, cotangent, logarithm, exponent, arcsin, arccos, arctan, arcctg or power function, also inverse functions. It is shown how to build the orthogonal matrix operator and how to use it in a process of curve reconstruction.
Students need no prior knowledge of differential equations--the most common application of asymptotics--because he begins with asymptotic notation then applies it immediately to familiar problems such as limits, inverse functions, and integrals.
Historically, elliptic functions were discovered as inverse functions of elliptic integrals.
[G.sup.-1], [[OMEGA].sup.-1] denote the inverse functions of G, [OMEGA], respectively and [alpha] [greater than or equal to] 0 is so chosen that
Lipschitzian inverse functions, directional derivatives, and applications in C1,1-optimization, Journal of Optimization Theory and Applications Vol.
Lipschitzian inverse functions, directional derivatives, and applications in [C.sup.1,1]-optimizatin, Journal of Optimization Theory and Applications Vol.
McKeague and Turner (both, Cuesta College) cover the usual introductory trigonometry topics: the six functions, right triangle trigonometry, radian measure, graphing and inverse functions, identities and formulas, equations, triangles, and complex numbers and polar coordinates.
Baturo); (14) Understanding Inverse Functions: The Relationship between Teaching Practice and Student Learning (Ibrahim Bayazit and Eddie Gray); (15) The Impact of Teachers' Perceptions of Student Characteristics on the Enactment of Their Beliefs (Kim Beswick); (16) Towards the Emergence of Constructing Mathematical Meanings (Angelika Bikner-Ahsbahs); (17) Identity, Knowledge and Departmental Practices: Mathematics of Engineers and Mathematicians (Erhan Bingolbali and John Monaghan); (18) Elementary Grades Students' Capacity for Functional Thinking (Maria L.

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