isomorphism
English · Thesaurus
AI In plain words
Writing a short explanation…
Written by a house AI from the entry below, in your language. The entry itself is the source.
isomorphism
- /ˌaɪsə(ʊ)ˈmɔɹfɪzəm/
Rhymes with -ɔː(ɹ)fɪzəm
Where it comes from
From iso- + -morphism.
noun isomorphisms
- Similarity of form The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.
- the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology.
- the similarity in the crystal structures of similar chemical compounds. The isomorphism of compounds does not prove the isomorphism of their respective constituents.
- the similarity in the structure or processes of different organizations.
- A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings.
- a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets.
-
A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition).
Similar: iso
Opposite: anisomorphism
Thesaurus
noun
Opposite: anisomorphism
Translations
Every language
noun bidirectionally structure-preserving bijection
| Español | isomorfismo |
|---|---|
| 中文 | 同構 /同构 tónggòu |
| हिन्दी | तुल्याकारिता tulyākāritā, समाकृतिकता samākŕtiktā |
| Português | isomorfismo |
| Français | isomorphisme |
| Deutsch | Isomorphismus |
| Русский | изоморфизм izomorfizm |
noun the similarity in form of organisms of different ancestry
| Español | isomorfismo |
|---|---|
| Português | isomorfismo |
| Français | isomorphisme |
| Italiano | isomorfismo |
| Русский | изоморфи́зм izomorfízm |
Talk about this word "isomorphism." Wiktionary, via Micwyn, micwyn.com/word/isomorphism. Accessed 6 Nov. 2026. isomorphism. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/isomorphism "isomorphism." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/isomorphism.Cite this
@misc{isomorphism_2026,
title = {isomorphism},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/isomorphism},
urldate = {2026-11-06}
}
