different between isomorphic vs homological
isomorphic
English
Etymology
From iso- +? -morphic.
Pronunciation
- (UK) enPR: ?s?mô'f?k, IPA(key): /?a?.s??m??.f?k/
- (US) enPR: ?s?môr'f?k, IPA(key): /?a?.so??m??.f?k/
- Rhymes: -??(r)f?k
Adjective
isomorphic (not comparable)
- (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
- 2003, Bernd Siegfried Walter Schröder, page 254
- 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.
- 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
- The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.
- 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
- 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.
- 1981, John Lyons, Language and Linguistics: An Introduction, page 60
Usage notes
- In mathematics, this adjective can be used in phrases like "A and B are isomorphic", "A is isomorphic to B", and, less commonly, "A is isomorphic with B".
Antonyms
- anisomorphic
- nonisomorphic
Coordinate terms
- anisomorphic
- heteromorphic
- homomorphic
Derived terms
- anisomorphic
- isomorphically
Related terms
- isomorph
- isomorphism
- isomorphous
Translations
Further reading
- isomorphic keyboard on Wikipedia.Wikipedia
isomorphic From the web:
- isomorphic meaning
- what is isomorphic graph
- what does isomorphic mean
- what is isomorphic react
- what is isomorphic alternation of generation
- what is isomorphic javascript
- what is isomorphic substitution
- what is isomorphic fetch
homological
English
Adjective
homological (not comparable)
- (biology) Having a similar evolutionary origin; homologous.
- (mathematics) Having to do with homology.
- (grammar) Of an adjective, describing itself.
Synonyms
- (biology): homologic
- (grammar): autological
Translations
homological From the web:
- homological meaning
- what is homological algebra
- what does homologous mean
- what is homological definition
- what does homological
- what is homological effect
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