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functional

In mathematics, a functional is a certain type of function. The exact definition of the term varies depending on the subfield (and sometimes even the author).
- In linear algebra, it is synonymous with a linear form, which is a linear mapping from a vector space ${\\displaystyle V}$ into its field of scalars (that is, it is an element of the dual space ${\\displaystyle V^{*}}$ ).
- In functional analysis and related fields, it refers more generally to a mapping from a space X into the field of real or complex numbers. In functional analysis, the term linear functional is a synonym of linear form; that is, it is a scalar-valued linear map. Depending on the author, such mappings may or may not be assumed to be linear, or to be defined on the whole space X.
- In computer science, it is synonymous with a higher-order function, which is a function that takes one or more functions as arguments or returns them.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Functional_(mathematics))

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