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isomorphism 音标拼音: [,ɑɪsəm'ɔrfɪzəm] n. 同形,类质同像 同形,类质同像 isomorphism n 1: (biology) similarity or identity of form or shape or structure [synonym: {isomorphism}, {isomorphy}] Isomorphism \I`so*mor"phism\, n. [Cf. F. isomorphisme.] 1. (Crystallog.) A similarity of crystalline form between substances of similar composition, as between the sulphates of barium ({BaSO4}) and strontium ({SrSO4}). It is sometimes extended to include similarity of form between substances of unlike composition, which is more properly called {hom[oe]omorphism}. 2. (Math.) A one-to-one mapping of one set onto another set which preserves the relations between the elements of the domains of the sets. [PJC] preserves, in both directions, any structure under consideration. Thus a `group isomorphism' preserves group structure; an order isomorphism (between {posets}) preserves the order relation, and so on. Usually it is clear from context what sort of isomorphism is intended. (1995-03-25)
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