Isomorphic vs Homomorphic - What's the difference?
isomorphic | homomorphic |
(mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
* 2003 , Bernd Siegfried Walter Schröder, page 254
(biology) Having a similar structure or function to something that is not related genetically or through evolution.
* 1993 , Marcus Jacobson, Foundations of Neuroscience , page 106
Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
* 1981 , John Lyons, Language and Linguistics: An Introduction , page 60
Homomorphic is a coordinate term of isomorphic.
As adjectives the difference between isomorphic and homomorphic
is that isomorphic is related by an isomorphism; having a structure-preserving one-to-one correspondence while homomorphic is of or pertaining to homomorphism; having a homomorphism.isomorphic
English
Adjective
(-)- Let A, B be the ordered sets in Figure 10.3. Let C be the direct product of infinitely many copies of the two element chain'' 2'''. ''Then AC is '''isomorphic to BC, but A is not isomorphic to B .
- The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.
- For example, in so far as written and spoken English are isomorphic (i.e. have the same structure), they are the same language: there is nothing but their structure that they have in common.