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Isomorphism

 - 5 dictionary results

i⋅so⋅mor⋅phism

  [ahy-suh-mawr-fiz-uhm]
Use Isomorphism in a Sentence
–noun
1. the state or property of being isomorphous or isomorphic.
2. Mathematics. a one-to-one relation onto the map between two sets, which preserves the relations existing between elements in its domain.
Origin:
1820–30; isomorph(ous) + -ism
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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i·so·mor·phism   (ī'sə-môr'fĭz'əm)   
n.  

  1. Biology Similarity in form, as in organisms of different ancestry.

  2. Mathematics A one-to-one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.

  3. A close similarity in the crystalline structure of two or more substances of similar chemical composition.

i'so·mor'phous adj.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Medical Dictionary

Main Entry: iso·mor·phism
Pronunciation: "i-s&-'mor-"fiz-&m
Function: noun
1 : similarity in organisms of different ancestryresulting from evolutionary convergence
2 : similarity of crystalline form between chemical compounds
3 : a correspondence that is held to exist between amental process (as perception) and physiological processes
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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Medical Dictionary

isomorphism i·so·mor·phism (ī'sə-môr'fĭz'əm)
n.

  1. A similarity in form, as in organisms of different ancestry.

  2. A close similarity in the crystalline structure of two or more substances of similar chemical composition.

i'so·mor'phous adj.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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Computing Dictionary

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)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
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