Transformation (function)
Function that applies a set to itself / From Wikipedia, the free encyclopedia
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"Transformation (mathematics)" redirects here. For other uses, see Transformation (disambiguation).
For broader coverage of this topic, see Function (mathematics).
In mathematics, a transformation or self-map[1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X.[2][3][4] Examples include linear transformations of vector spaces and geometric transformations, which include projective transformations, affine transformations, and specific affine transformations, such as rotations, reflections and translations.[5][6]