# morphism

suomi-englanti sanakirja## morphism englanniksi

(''formally'') An arrow in a category; (''less formally'') an abstraction that generalises a map from one mathematical object to another and is structure-preserving in a way that depends on the branch of mathematics from which it arises. Category:en:Functions

1982, Israel Program for Scientific Translations (translator), Lev J. Leifman (editor of translation), N. N. Čencov, ''Statistical Decision Rules and Optimal Inference'',

*(w)*, Translations of Mathematical Monographs, Volume 53, page 50,- 1° ''The composition of two morphisms is defined if and only if the final object of the first morphism is the initial object of the second. This composition is also a morphism, whose initial object is the initial object of the first morphism and whose final object is the final object of the second.''
1992, Terrance Brown (translator), Gil Henriques, ''Chapter 13: Morphisms and Transformations in the Construction of Invariants'', Terrance Brown (translator), Jean Piaget, Gil Henriques, Edgar Ascher (editors), ''Morphisms and Categories: Comparing and Transforming'', page 198,

- In certain extreme cases in mathematics, the synthesis of morphisms and of transformations is so intimate that one can speak of a veritable fusion.
*(..)*Essentially, categories are sets of morphisms organized into operatory systems. 2007 November, Steven Dale Cutkosky, ''Toroidalization of Dominant Morphisms of 3-Folds'', Memoirs of the

*(w)*, Volume 190, Number 890, page 3,- The proof of toroidalization of morphisms of 3-folds to surfaces in C3 breaks up into two parts: a reduction to prepared morphisms and then a proof of toroidalization of prepared morphisms from ''n''-folds to surfaces in CK.
Being or having distinct variants of a plant or animal species in the same locale; polymorphism.

*(quote-book)*The colour morphism of males is proved to be irreversible after its expression at an early stage of ontogeny.