Definition of homomorphism in English:

homomorphism

noun ˌhɒmə(ʊ)ˈmɔːfɪz(ə)mˌhəʊmə(ʊ)ˈmɔːfɪz(ə)mˌhoʊməˈmɔrfɪzəm

Mathematics

A transformation of one set into another that preserves in the second set the relations between elements of the first.
〔数〕同态
Example sentencesExamples
- There are structure-preserving functions, representing homomorphisms, from points of space-time to appropriate structures defined from real numbers.
- A lecturer could not readily fix this problem by adding supplementary material because continuous homomorphisms have been defined too narrowly.
- Groups with group homomorphisms constitute a category.
- He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields.

Definition of homomorphism in US English:

homomorphism

nounˌhoʊməˈmɔrfɪzəmˌhōməˈmôrfizəm

Mathematics

A transformation of one set into another that preserves in the second set the relations between elements of the first.
〔数〕同态
Example sentencesExamples
- He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields.
- A lecturer could not readily fix this problem by adding supplementary material because continuous homomorphisms have been defined too narrowly.
- There are structure-preserving functions, representing homomorphisms, from points of space-time to appropriate structures defined from real numbers.
- Groups with group homomorphisms constitute a category.

词汇	homomorphism
释义	Definition of homomorphism in English: homomorphism noun ˌhɒmə(ʊ)ˈmɔːfɪz(ə)mˌhəʊmə(ʊ)ˈmɔːfɪz(ə)mˌhoʊməˈmɔrfɪzəm Mathematics A transformation of one set into another that preserves in the second set the relations between elements of the first. 〔数〕同态 Example sentencesExamples There are structure-preserving functions, representing homomorphisms, from points of space-time to appropriate structures defined from real numbers. A lecturer could not readily fix this problem by adding supplementary material because continuous homomorphisms have been defined too narrowly. Groups with group homomorphisms constitute a category. He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields. Definition of homomorphism in US English: homomorphism nounˌhoʊməˈmɔrfɪzəmˌhōməˈmôrfizəm Mathematics A transformation of one set into another that preserves in the second set the relations between elements of the first. 〔数〕同态 Example sentencesExamples He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields. A lecturer could not readily fix this problem by adding supplementary material because continuous homomorphisms have been defined too narrowly. There are structure-preserving functions, representing homomorphisms, from points of space-time to appropriate structures defined from real numbers. Groups with group homomorphisms constitute a category.
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