different between isomorphic vs subobject
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
subobject
English
Etymology
sub- +? object
Noun
subobject (plural subobjects)
- An object that is part of another object.
- (category theory) An object and a monomorphism from it to another object, which monomorphism is interpreted as an inclusion. Actually it is an equivalence class of monomorphisms to the same object, where the equivalence relation is the ability of a pair of monomorphisms to factor through each other.
subobject From the web:
- what does subjective mean
- what is a subobjective heading
- what is a subjective meaning
- what do subjective mean
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