noun
Meaning 1
Similarity of form
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Standard Lemma guide
isomorphism
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
Sound
Pronunciation
Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.
-
/ˌaɪsə(ʊ)ˈmɔɹfɪzəm/
-
US: Recorded audio is listed in the source snapshot.
-
rhymes with -ɔː(ɹ)fɪzəm
-
CMU ARPABET: AY2 S AH0 M AO1 R F IH0 Z AH0 M Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.
noun
Meaning 2
Similarity of form
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.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: biology, natural-sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
noun
Meaning 3
Similarity of form
the similarity in the crystal structures of similar chemical compounds.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: chemistry, natural-sciences, physical-sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
noun
Meaning 4
Similarity of form
the similarity in the structure or processes of different organizations.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: human-sciences, sciences, social-science, sociology
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
noun
Meaning 5
A one-to-one correspondence
A bijection f such that both f and its inverse f−1 are homomorphisms, that is, structure-preserving mappings.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Qualifier: group algebra
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
noun
Meaning 6
A one-to-one correspondence
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.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: computer, computing, engineering, mathematics, natural-sciences, physical-sciences, science, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
noun
Meaning 7
A one-to-one correspondence
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).
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
noun
Meaning 8
(biology) similarity or identity of form or shape or structure
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: isomorphy
Antonyms: none provided
Broader terms: similarity
History
Etymology
From iso- + -morphism.
Across languages
Translations
31 source translations are retained for this English entry.
- Bulgarian: изоморфи́зъм (izomorfízǎm) — the similarity in form of organisms of different ancestry
- Czech: izomorfismus — the similarity in form of organisms of different ancestry
- Finnish: isomorfismi — the similarity in form of organisms of different ancestry
- French: isomorphisme — the similarity in form of organisms of different ancestry
- Hungarian: izomorfizmus — the similarity in form of organisms of different ancestry
- Italian: isomorfismo — the similarity in form of organisms of different ancestry
- Polish: izomorfizm — the similarity in form of organisms of different ancestry
- Portuguese: isomorfismo — the similarity in form of organisms of different ancestry
- Russian: изоморфи́зм (izomorfízm) — the similarity in form of organisms of different ancestry
- Serbo-Croatian: izomorfizam — the similarity in form of organisms of different ancestry
- Spanish: isomorfismo — the similarity in form of organisms of different ancestry
- Tagalog: kasanyuan — the similarity in form of organisms of different ancestry
- Ukrainian: ізоморфі́зм (izomorfízm) — the similarity in form of organisms of different ancestry
- Bulgarian: изоморфизъм (izomorfizǎm) — bidirectionally structure-preserving bijection
- Chinese Mandarin: 同構 /同构 (tónggòu) — bidirectionally structure-preserving bijection
- Czech: izomorfismus — bidirectionally structure-preserving bijection
- Danish: isomorfi — bidirectionally structure-preserving bijection
- Dutch: isomorfisme — bidirectionally structure-preserving bijection
- Esperanto: izomorfio — bidirectionally structure-preserving bijection
- Finnish: isomorfismi — bidirectionally structure-preserving bijection
- French: isomorphisme — bidirectionally structure-preserving bijection
- German: Isomorphismus — bidirectionally structure-preserving bijection
- Hindi: तुल्याकारिता (tulyākāritā) — bidirectionally structure-preserving bijection
- Hindi: समाकृतिकता (samākŕtiktā) — bidirectionally structure-preserving bijection
- Hungarian: izomorfia — bidirectionally structure-preserving bijection
- Icelandic: einsmótun — bidirectionally structure-preserving bijection
- Kazakh: изоморфизм (izomorfizm) — bidirectionally structure-preserving bijection
- Polish: izomorfizm — bidirectionally structure-preserving bijection
- Portuguese: isomorfismo — bidirectionally structure-preserving bijection
- Russian: изоморфизм (izomorfizm) — bidirectionally structure-preserving bijection
- Spanish: isomorfismo — bidirectionally structure-preserving bijection
Real reading context