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  2. Map (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Map_(mathematics)

    A map is a function, as in the association of any of the four colored shapes in X to its color in Y. In mathematics, a map or mapping is a function in its general sense. [1] These terms may have originated as from the process of making a geographical map: mapping the Earth surface to a sheet of paper. [2]

  3. Category:Functions and mappings - Wikipedia

    en.wikipedia.org/.../Category:Functions_and_mappings

    Self-concordant function; Semi-differentiability; Semilinear map; Set function; List of set identities and relations; Shear mapping; Shekel function; Signomial; Similarity invariance; Soboleva modified hyperbolic tangent; Softmax function; Softplus; Splitting lemma (functions) Squeeze theorem; Steiner's calculus problem; Strongly unimodal ...

  4. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    A function may also be called a map or a mapping, but some authors make a distinction between the term "map" and "function". For example, the term "map" is often reserved for a "function" with some sort of special structure (e.g. maps of manifolds). In particular map may be used in place of homomorphism for the sake of succinctness (e.g ...

  5. Contraction mapping - Wikipedia

    en.wikipedia.org/wiki/Contraction_mapping

    In mathematics, a contraction mapping, or contraction or contractor, on a metric space (M, d) is a function f from M to itself, with the property that there is some real number < such that for all x and y in M, ((), ()) (,).

  6. Open and closed maps - Wikipedia

    en.wikipedia.org/wiki/Open_and_closed_maps

    In mathematics, more specifically in topology, an open map is a function between two topological spaces that maps open sets to open sets. [1] [2] [3] That is, a function : is open if for any open set in , the image is open in . Likewise, a closed map is a function that maps closed sets to closed sets.

  7. Geometric function theory - Wikipedia

    en.wikipedia.org/wiki/Geometric_function_theory

    Analytic continuation of natural logarithm (imaginary part) Analytic continuation is a technique to extend the domain of a given analytic function.Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.

  8. Functional (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Functional_(mathematics)

    At the same time, the mapping of a function to the value of the function at a point is a functional; here, is a parameter. Provided that f {\displaystyle f} is a linear function from a vector space to the underlying scalar field, the above linear maps are dual to each other, and in functional analysis both are called linear functionals .

  9. Fixed point (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Fixed_point_(mathematics)

    The function () = + (shown in red) has the fixed points 0, 1, and 2.. In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation.

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