congruence
English
Etymology
From Middle English congruence, from Latin congruentia (“agreement”), from congruēns, present active participle of congruō (“meet together, agree”).
Pronunciation
- (UK, Received Pronunciation) IPA(key): /ˈkɒŋ.ɡɹʊ.əns/
Audio (Southern England) (file)
- (US, General American) IPA(key): /ˈkɑŋ.ɡɹu.əns/
Audio (New Jersey) (file)
- (AU, Australian English) IPA(key): /ˈkɔŋ.ɡɹʉ.əns/
Audio (US) (file)
Noun
congruence (countable and uncountable, plural congruences)
- The quality of agreeing or corresponding; being suitable and appropriate.
- (mathematics, number theory) A relation between two numbers indicating they give the same remainder when divided by some given number.
- (mathematics, geometry) The quality of being isometric — roughly, the same measure and shape.
- (mathematics, linear algebra) Matrix similarity by an orthogonal matrix.
- (algebra, more generally) Any equivalence relation defined on an algebraic structure which is preserved by operations defined by the structure.
Synonyms
Antonyms
Derived terms
Related terms
Translations
the quality of agreeing or corresponding
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number theory, relation indicating two numbers give the same remainder when divided by some number
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geometry, quality of being roughly the same size and shape
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linear algebra, matrix similarity by an orthogonal matrix
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algebra, equivalence relation preserved by operations
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- The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.
See also
French
Etymology
From Latin congruentia (“agreement”), from congruēns, present active participle of congruō (“meet together, agree”).
Pronunciation
- IPA(key): /kɔ̃.ɡʁy.ɑ̃s/
- Homophone: congruences
Audio (file)
Related terms
Further reading
- “congruence”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.
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