- inverse function theorem
- käänteisfunktiolause

*English-Finnish mathematical dictionary.
2011.*

- inverse function theorem
- käänteisfunktiolause

*English-Finnish mathematical dictionary.
2011.*

**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