- inverse function theorem
- теорема об обратной функции
English-Russian scientific dictionary. 2008.
inverse function theorem
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Inverse function theorem — In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the… … Wikipedia
Inverse mapping theorem — In mathematics, inverse mapping theorem may refer to:* the inverse function theorem on the existence of local inverses for functions with non singular derivatives;* the bounded inverse theorem on the boundedness of the inverse for invertible… … Wikipedia
Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… … Wikipedia
Implicit function theorem — In the branch of mathematics called multivariable calculus, the implicit function theorem is a tool which allows relations to be converted to functions. It does this by representing the relation as the graph of a function. There may not be a… … Wikipedia
Inverse functions and differentiation — In mathematics, the inverse of a function y = f(x) is a function that, in some fashion, undoes the effect of f (see inverse function for a formal and detailed definition). The inverse of f is denoted f^{ 1}. The statements y=f(x) and x=f 1(y) are … Wikipedia
Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a … Wikipedia
inverse — I. adjective Etymology: Middle English, turned upside down, from Latin inversus, from past participle of invertere Date: 15th century 1. opposite in order, nature, or effect 2. being an inverse function < inverse sine > II. noun Date: circa 1681 … New Collegiate Dictionary
Nash–Moser theorem — The Nash–Moser theorem, attributed to mathematicians John Forbes Nash and Jürgen Moser, is a generalization of the inverse function theorem on Banach spaces to a class of tame Fréchet spaces. In contrast to the Banach space case, in which the… … Wikipedia
Nash-Moser theorem — The Nash Moser theorem, attributed to mathematicians John Forbes Nash and Jurgen Moser is a generalization of the inverse function theorem on Banach spaces to a class of tame Frechet spaces.In contrast to the Banach space case, in which the… … Wikipedia
Banach fixed point theorem — The Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self maps… … Wikipedia
Banach fixed-point theorem — In mathematics, the Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of… … Wikipedia
