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/ (US, General American) IPA(key): /ˈkɑŋ.ɡɹu.əns/ (AU, Australian English) IPA(key): /ˈkɔŋ.ɡɹʉ.əns/ === 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. (universal algebra) Any equivalence relation defined on an algebraic structure which is preserved by operations defined by the structure. (psychology) A well-adjusted state or condition in which people are not lying to themselves or in denial. ==== Synonyms ==== ==== Antonyms ==== ==== Derived terms ==== ==== Related terms ==== congruent ==== Translations ==== ==== See also ==== residue == French == === Etymology === From Latin congruentia (“agreement”), from congruēns, present active participle of congruō (“meet together, agree”). === Pronunciation === IPA(key): /kɔ̃.ɡʁy.ɑ̃s/ Homophone: congruences === Noun === congruence f (plural congruences) (mathematics) congruence ==== Related terms ==== congru === Further reading === “congruence”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012