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  2. Function (mathematics) - Wikipedia

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

    A partial function from X to Y is thus a ordinary function that has as its domain a subset of X called the domain of definition of the function. If the domain of definition equals X, one often says that the partial function is a total function. In several areas of mathematics the term "function" refers to partial functions rather than to ...

  3. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory of special functions which developed out of statistics and mathematical physics.

  4. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    Holomorphic function: complex-valued function of a complex variable which is differentiable at every point in its domain. Meromorphic function: complex-valued function that is holomorphic everywhere, apart from at isolated points where there are poles. Entire function: A holomorphic function whose domain is the entire complex plane.

  5. Family of sets - Wikipedia

    en.wikipedia.org/wiki/Family_of_sets

    Additionally, a family of sets may be defined as a function from a set , known as the index set, to , in which case the sets of the family are indexed by members of . [1] In some contexts, a family of sets may be allowed to contain repeated copies of any given member, [ 2 ] [ 3 ] [ 4 ] and in other contexts it may form a proper class .

  6. Parent function - Wikipedia

    en.wikipedia.org/wiki/Parent_function

    In mathematics education, a parent function is the core representation of a function type without manipulations such as translation and dilation. [1] For example, for the family of quadratic functions having the general form = + +, the simplest function is =,

  7. Indexed family - Wikipedia

    en.wikipedia.org/wiki/Indexed_family

    In mathematics, a family, or indexed family, is informally a collection of objects, each associated with an index from some index set.For example, a family of real numbers, indexed by the set of integers, is a collection of real numbers, where a given function selects one real number for each integer (possibly the same) as indexing.

  8. Uniform boundedness - Wikipedia

    en.wikipedia.org/wiki/Uniform_boundedness

    In mathematics, a uniformly bounded family of functions is a family of bounded functions that can all be bounded by the same constant. This constant is larger than or equal to the absolute value of any value of any of the functions in the family.

  9. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ⁡ ( f ) {\displaystyle \operatorname {dom} (f)} or dom ⁡ f {\displaystyle \operatorname {dom} f} , where f is the function.