English Dictionary

morphism

名詞

(mathematics, category theory) (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.

日本語の意味

カテゴリー論における対象間の「射」。すなわち、数学的対象の間の写像を一般化した概念であり、構造を保存することが求められる。

In the category of sets, every injective morphism can be identified with a one-to-one function between sets.

集合の圏では、任意の単射の射は集合間の1対1の写像として考えられます。

意味（1）

(mathematics, category theory) (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.

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.

意味（2）

(biology) Being or having distinct variants of a plant or animal species in the same locale; polymorphism.

Briefly, the yellow morphic males can change their status from paired to satellite and from satellite to the paired one. However, they cannot cross into the status of the red morph.[…] The colour morphism of males is proved to be irreversible after its expression at an early stage of ontogeny.

morphisms （ plural ）