# 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. {{quote-journal|en|year=2007|month=November|author=Steven Dale Cutkosky|title=Toroidalization of Dominant Morphisms of 3-Folds|journal=Memoirs of the|publisher=American Mathematical Society|volume=190|number=890|pageurl=https://books.google.com.au/books?id=ZwDVCQAAQBAJ&pg=PA3&dq=%22morphism%22%7C%22morphisms%22&hl=en&sa=X&ved=0ahUKEwjJl9iTxczNAhUCi5QKHYZBBisQ6AEIaDANv=onepage&q=%22morphism%22%7C%22morphisms%22&f=false|page=3

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.