Definition of Inverse function

1. Noun. 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.


Definition of Inverse function

1. Noun. (mathematics) A function that does exactly the opposite of another; formally the inverse function f^{-1}\! of a function f\! exists such that: \forall x . f(x) = y \implies f^{-1}(y) = x. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Inverse Function

inveracity
inverecund
inverisimilitude
inverisimilitudes
inverities
inverity
invermination
inverness
invernesses
inverse
inverse-square law
inverse Fourier transform
inverse Fourier transforms
inverse anaphylaxis
inverse density dependence
inverse function (current term)
inverse functions
inverse hyperbolic function
inverse hyperbolic functions
inverse image
inverse images
inverse limit
inverse matrices
inverse matrix
inverse ocular bobbing
inverse square law
inverse symmetry
inverse syntropy
inverse system
inverse trigonometric function

Literary usage of Inverse function

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"The only Abelian integrals whose inverse function is single-valued are those which lead to the exponential (including trigonometric) and the elliptic ..."

2. Proceedings of the Cambridge Philosophical Society by Cambridge Philosophical Society (1880)
"To express u-, the inverse function, in terms of x, we may either ise a notation employed by Gudermann ..."

3. A Course in Mathematical Analysis by Edouard Goursat, Earle Raymond Hedrick (1916)
"The inverse function to the elliptic integral of the first kind. Let R (z) be a polynomial of the third or of the fourth degree which is prime to its ..."

4. Plane and Spherical Trigonometry by George Neander Bauer, William Ellsworth Brooke (1917)
"After introducing the fundamental idea of an inverse function, ... The last form should be used until the conception of an inverse function is perfectly ..."

5. Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising by Charles Davies, William Guy Peck (1855)
"If it be agreed to call the first a direct function of the second, then is the second an inverse function of the first. The forms of direct and inverse ..."

6. An Elementary Course of Infinitesimal Calculus by Horace Lamb (1897)
"Again, it may (and in general will) happen that through some ranges of y there are no corresponding values of x, ie the inverse function does not exist. ..."

7. A Treatise on Plane Trigonometry by Ernest William Hobson (1891)
"If y is a function f(x) of x, then x may also be regarded as a function of y ; this function of y, is called the inverse function of f (x), and is usually ..."

8. Lectures on the Theory of Functions of Real Variables by James Pierpont (1906)
"The inverse function *=g(y) (2 also satisfies 1). Let us arrange 1) with respect to x. If m is the highest degree of x in this equation, we get QQ(y)xm + ..."

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