isomorphism

3 definitions found

isomorphism - Collaborative International Dictionary of English v.0.48 :

  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]

isomorphism - WordNet (r) 2.1 (2005) :

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

isomorphism - Free On-line Dictionary of Computing (26 May 2007) :

  isomorphism
  
     <mathematics> 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)