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naturaltransformation
natural transformation
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Definitions of natural transformation in various dictionaries:
NATURAL TRANSFORMATION - In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the in...
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| Natural transformation description |
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| In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal structure (i.e., the composition of morphisms) of the categories involved. Hence, a natural transformation can be considered to be a "morphism of functors". Indeed, this intuition can be formalized to define so-called functor categories. Natural transformations are, after categories and functors, one of the most fundamental notions of category theory and consequently appear in the majority of its applications. |