homomorphisms background

homomorphisms

/ˌhoʊmoʊˈmɔːrfɪzəmz/ /ˌhɑːmoʊˈmɔːrfɪzəmz/

Illustration homomorphisms - Image 1

noun

同态, 同态映射

A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.

Examples :

"A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving."

域同态是从一个域到另一个域的映射，它保持加法、乘法、零和单位元。

math logic structure science function

Illustration homomorphisms - Image 1

noun

同形，同态。

A similar appearance of two unrelated organisms or structures.

Examples :

"Due to evolutionary pressures, the homomorphisms between the wings of butterflies and birds are striking, even though they evolved independently. "

由于进化压力，蝴蝶和鸟类的翅膀之间展现出的同形现象非常显著，尽管它们是独立演化出来的。

biology organism appearance anatomy science