ENGLISH DICTIONARY

Isomorphic

Definition, Meaning & Examples

Pronunciation /ˌaɪ.səˈmɔː.fɪk/ · Part of speech adjective

Quick meaning: Isomorphic is an adjective meaning (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.

Meaning

(mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.

More Meanings

  1. (biology) Having a similar structure or function to something that is not related genetically or through evolution.
  2. Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
  3. (programming) Able to run either client-side or server-side.

Example Sentences

an isomorphic JavaScript app
The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.
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 A^C is isomorphic to B^C, but A is not isomorphic to B.
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.

Synonyms for isomorphic

Depending on context, synonyms include isomorphous.

Antonyms for isomorphic

Common opposites include anisomorphic, nonisomorphic.

Related Words

Related dictionary entries include isomorphous, equivalent, isostructural, equipotent, homologous, similar.

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Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

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