Isomorphism - Dictionary Definition and Overview

Isomorphism :  (noun)

1: (biology) similarity or identity of form or shape or structure [syn: isomorphy]

Based on WordNet 2.0

Isomorphism : \I`so*mor"phism\, n. [Cf. F. isomorphisme.] (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.

Based on Webster's Revised Unabridged Dictionary

Isomorphism : 

A bijective map between two objects which 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)



Based on Webster's Revised Unabridged Dictionary (1913)
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