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isomorphism

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isomorphism


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  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. 
 
  From  WordNet  r  1.6  [wn]: 
 
  isomorphism 
  n  :  (biology)  similarity  of  form  or  shape  or  structure 
 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
 
  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  {poset}s)  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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