Transformation (function)

of four mappings coded in SVG, which transforms a rectangular repetitive pattern into a rhombic pattern. The four transformations are linear. In mathematics, a transformation, transform, or self-map is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. . 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.

of four mappings coded in SVG, which transforms a rectangular repetitive pattern into a rhombic pattern. The four transformations are linear.]] In mathematics, a transformation, transform, or self-map is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. . 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. ==Algebraic structures== The set of all transformations on a given base set, together with function composition, forms a regular semigroup. ==Combinatorics== For a finite set of cardinality n, there are n n transformations and (n+1) n partial transformations. ==See also== Endofunction Coordinate transformation Data transformation (statistics) Geometric transformation Infinitesimal transformation Linear transformation List of transforms Rigid transformation Transformation geometry Transformation semigroup Transformation group Transformation matrix ==References== ==External links==

Text derived from https://en.wikipedia.org/w/index.php?oldid=1355503784 under CC BY-SA 4.0; modifications have been made.