homomorphism background

homomorphism

/ˌhoʊməˈmɔːrfɪzəm/ /ˌhɑːməˈmɔːrfɪzəm/

Illustration homomorphism - Image 1

noun

Un homomorphisme

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."

Un homomorphisme de corps est une application d'un corps vers un autre qui est additive, multiplicative, conservant le zéro et conservant l'unité.

math logic structure function system technical science

Illustration homomorphism - Image 1

noun

Homomorphisme

A similar appearance of two unrelated organisms or structures.

Examples :

"The homomorphism between a butterfly's wing and a leaf is striking; both are flat, often green or brown, and have vein-like patterns, even though they evolved completely separately. "

L'homomorphisme entre l'aile d'un papillon et une feuille est frappant ; les deux sont plats, souvent verts ou bruns, et présentent des motifs en forme de veines, même s'ils ont évolué de manière complètement séparée.

biology organism appearance structure