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单词 homomorphic
释义

homomorphic /ˌhɒmə(ʊ)'mɔːfɪk//ˌhomə'mɔrfɪk/

英汉-汉英词典
adj. 同形的,同型性(指器官或有机体)的
词组 | 习惯用语
您要查找的是不是:
  • homomorph n. 同态像
  • homeomorphic adj. [化]异质同晶的;[数]同胚的,拓扑映射的,连续函数的
  • homomorphism n. 同态;同形
  • homeomorphism n. 异质同晶
homomorphic adj. 同态的;同形的
homomorphic deconvolution 同态解褶积
homomorphic mapping 同态映射
homomorphic inverse filtering 同态反滤波

网络短语:
homomorphic epimorphism 同态满射
homomorphic tag 同态标签
ideal homomorphic 理想同态
homomorphic dereverberation 同态解混响
homomorphic multinucleate 同形多核的
homomorphic surjection 同态满射
homomorphic theory 同态理论
homomorphic incompatibility 同态不育; 同形不亲和; 同形发生;
homomorphic replication 同态复制; 翻译;
中文百科

同态 Homomorphism

(重定向自Homomorphic)
Monoid homomorphism f from the monoid (N, +, 0) to the monoid (N, ×, 1), defined by f(x) = 2x. It is injective, but not surjective.
Relationships between different kinds of homomorphisms.   Hom = set of Homomorphisms, Mon = set of Monomorphisms, Epi = set of Epimorphisms, Iso = set of Isomorphisms, End = set of Endomorphism, Aut = set of Automorphisms. Notice that: Mon ∩ Epi = Iso, Iso ∩ End = Aut. The sets (Mon ∩ End) \ Aut and (Epi ∩ End) \ Aut contain only homomorphisms from some infinite structures to themselves.

抽象代数中,同态是两个代数结构(例如群、环、或者矢量空间)之间的保持结构不变的映射。英文的同态(homomorphism)来自希腊语:ὁμός (homos)表示"相同"而μορφή (morphe)表示"形态"。注意相似的词根ὅμοιος (homoios)表示"相似"出现在另一个数学概念同胚的英文(homeomorphism)中。

英语百科

Homomorphism 同态

(重定向自Homomorphic)
Monoid homomorphism f from the monoid (N, +, 0) to the monoid (N, ×, 1), defined by f(x) = 2x. It is injective, but not surjective.
Relationships between different kinds of homomorphisms.   Hom = set of Homomorphisms, Mon = set of Monomorphisms, Epi = set of Epimorphisms, Iso = set of Isomorphisms, End = set of Endomorphism, Aut = set of Automorphisms. Notice that: Mon ∩ Epi = Iso, Iso ∩ End = Aut. The sets (Mon ∩ End) \ Aut and (Epi ∩ End) \ Aut contain only homomorphisms from some infinite structures to themselves.

In abstract algebra, a homomorphism is a structure-preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the ancient Greek language: ὁμός (homos) meaning "same" and μορφή (morphe) meaning "form" or "shape". Isomorphisms, automorphisms, and endomorphisms are special types of homomorphisms.

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更新时间:2025/6/19 3:17:06