congruence
English
Etymology
From Middle English congruence, from Latin congruentia (“agreement”), from congruēns, present active participle of congruō (“meet together, agree”).
Pronunciation
- IPA(key): /ˈkɑŋ.ɡɹu.əns/, /kenˈɡɹuː.əns/
Audio (southern England) (file)
Noun
congruence (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
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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