Transformation (function)
（重定向自Transshape）
![A composition of four mappings coded in SVG,which transforms a rectangular repetitive patterninto a rhombic pattern.](/Images/godic/202502/17/A_code_snippet_for_a_rhombic_repetitive_pattern.svg1114.png")
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In mathematics, particularly in semigroup theory, a transformation is any function f mapping a set X to itself, i.e. f:X→X. In other areas of mathematics, a transformation may simply be any function, regardless of domain and codomain. This wider sense shall not be considered in this article; refer instead to the article on function for that sense.