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noun
1.
Biology. correspondence in form or external appearance but not in type of structure or origin.
2.
Botany. possession of perfect flowers of only one kind.
3.
Zoology. resemblance between the young and the adult.
4.
Mathematics. an into map between two sets that preserves relations between elements.
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Homomorphism
is always a great word to know.
So is cell. Does it mean:
| subject to different laws of growth or specialization |
| a microscopic structure containing nuclear and cytoplasmic material enclosed by a semipermeable membrane, the basic structural unit of all organisms |
Collins
Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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American Heritage
Science Dictionary
homomorphism  (hō'mə-môr'fĭz'əm, hŏm'ə-) Pronunciation Key
A transformation of one set into another that preserves in the second set the operations between the members of the first set. |
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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FOLDOC
Computing Dictionary
homomorphism definition
mathematicsA map f between groups A and B is a homomorphism of A into B if
f(a1 * a2) = f(a1) * f(a2) for all a1, a2 in A.
where the *s are the respective group operations.
(2009-01-14)
Encyclopedia Britannica
Encyclopedia
homomorphism
(from Greek homoios morphe, "similar form"), a special correspondence between the members (elements) of two algebraic systems, such as two groups, two rings, or two fields. Two homomorphic systems have the same basic structure, and, while their elements and operations may appear entirely different, results on one system often apply as well to the other system. Thus, if a new system can be shown to be homomorphic to a known system, certain known features of one can be applied to the other, thereby simplifying the analysis of the new system
Learn more about homomorphism with a free trial on Britannica.com.
Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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