invertible mapping function

  • 1Invertible matrix — In linear algebra an n by n (square) matrix A is called invertible (some authors use nonsingular or nondegenerate) if there exists an n by n matrix B such that where In denotes the n by n identity matrix and the multiplication used is ordinary… …

    Wikipedia

  • 2Function (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

  • 3Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …

    Wikipedia

  • 4Inverse 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

  • 5Surjective function — Onto redirects here. For other uses, see wikt:onto. A surjective function from domain X to codomain Y. The function is surjective because every point in the codomain is the value of f(x) for at least one point x in the domain. In mathematics, a… …

    Wikipedia

  • 6Inverse 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

  • 7Injective function — Injective redirects here. For injective modules, see Injective module. An injective function (is not a bijection) …

    Wikipedia

  • 8Implicit 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

  • 9Transformation (function) — In mathematics, a transformation could be any function mapping a set X on to another set or on to itself. However, often the set X has some additional algebraic or geometric structure and the term transformation refers to a function from X to… …

    Wikipedia

  • 10Minkowski's question mark function — Minkowski question mark function. ?(x) is on the left and ?(x) x is on the right. In …

    Wikipedia