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  2. Map (higher-order function) - Wikipedia

    en.wikipedia.org/wiki/Map_(higher-order_function)

    The map function originated in functional programming languages. The language Lisp introduced a map function called maplist [3] in 1959, with slightly different versions already appearing in 1958. [4] This is the original definition for maplist, mapping a function over successive rest lists:

  3. Smoothness - Wikipedia

    en.wikipedia.org/wiki/Smoothness

    A bump function is a smooth function with compact support.. In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives (differentiability class) it has over its domain.

  4. Associative containers (C++) - Wikipedia

    en.wikipedia.org/wiki/Associative_containers_(C++)

    When program is executed, six elements are inserted using the insert() function, then the first element is deleted using erase() function and the size of the map is outputted. Next, the user is prompted for a key to search for in the map.

  5. 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.

  6. Completely positive map - Wikipedia

    en.wikipedia.org/wiki/Completely_positive_map

    Let and be C*-algebras.A linear map : is called a positive map if maps positive elements to positive elements: ().. Any linear map : induces another map : in a natural way. If is identified with the C*-algebra of -matrices with entries in , then acts as

  7. Biholomorphism - Wikipedia

    en.wikipedia.org/wiki/Biholomorphism

    In the case of maps f : U → C defined on an open subset U of the complex plane C, some authors (e.g., Freitag 2009, Definition IV.4.1) define a conformal map to be an injective map with nonzero derivative i.e., f’(z)≠ 0 for every z in U. According to this definition, a map f : U → C is conformal if and only if f: U → f(U) is ...

  8. C++ Standard Library - Wikipedia

    en.wikipedia.org/wiki/C++_Standard_Library

    The C++ Standard Library provides several generic containers, functions to use and manipulate these containers, function objects, generic strings and streams (including interactive and file I/O), support for some language features, and functions for common tasks such as finding the square root of a number.

  9. Unordered associative containers (C++) - Wikipedia

    en.wikipedia.org/wiki/Unordered_associative...

    The user defined function can be used as is in std::unordered_map, by passing it as a template parameter std :: unordered_map < X , int , hash_X > my_map ; Or can be set as the default hash function by specializing the std::hash function