Dictionary

quotient en · NOUN

Pronunciation

• (US) audio
• kwōʹshənt (US)
• /ˈkwəʊʃənt/ (UK)
• /ˈkwoʊʃənt/ (US)

Etymology

Borrowed from Latin quotiēns, from quotiēs.

Meanings

1. The number (either a fraction or an integer) resulting from the division of one number by another.
   • Dividing 12 by 4 yields a quotient of 3.
2. By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
3. (obsolete, rare) A quotum or quota.
4. The number of runs scored per wicket lost when batting, divided by the number of runs conceded per wicket taken when bowling — used as a league table tiebreaker in some first-class tournaments.
5. A mathematical structure formed by identifying elements within a larger one.

Forms

Coordinates

net run rate

Deriveds

difference quotient · Rayleigh quotient · subquotient · Horowitz quotient · quotient group · pseudoquotient · truth quotient · quotient space · quotient set · accomplishment quotient · educational quotient · achievement quotient · quotient map · biquotient · encephalization quotient · artificial intelligence quotient · Q quotient · quotient ring · intelligence quotient

Relateds

quotientive · quotiety

Translations (88)

fr quotient (result of inverse of multiplication defined for non-numerical mathematical entities) · pl kwota (quotum or quota) · fr rapport (result of inverse of multiplication defined for non-numerical mathematical entities) · sh kòličnīk (number resulting from division) · uk ча́стка (number resulting from division) · sv kvot (number resulting from division) · my စားလဒ် (number resulting from division) · tl kahatian (result of inverse of multiplication defined for non-numerical mathematical entities) · pl iloraz (result of inverse of multiplication defined for non-numerical mathematical entities) · hi लब्धि (number resulting from division) · nn kvotient (number resulting from division) · cmn 商數 /商数 (number resulting from division) · mk ко́личник (number resulting from division) · nl quotiënt (result of inverse of multiplication defined for non-numerical mathematical entities) · sl kolíčnik (number resulting from division) · hi भगफल (number resulting from division) · is kvóti (number resulting from division) · ceb lapa (number resulting from division) · ar خَارِج قِسْمَة (number resulting from division) · ar حاصِل الْقِسْمَة (number resulting from division) · ja 商 (number resulting from division) · da kvotient (number resulting from division) · hu hányados (number resulting from division) · ast cociente (number resulting from division) · mi otinga wehe (number resulting from division) · cs podíl (number resulting from division) · sh ко̀личнӣк (number resulting from division) · ru до́ля (quotum or quota) · id kuosien (number resulting from division) · es cociente (result of inverse of multiplication defined for non-numerical mathematical entities) · ca quocient (result of inverse of multiplication defined for non-numerical mathematical entities) · nb kvotient (number resulting from division) · hi फल (number resulting from division) · ko 몫 (number resulting from division) · sv kvot (quotum or quota) · ru результат (result of inverse of multiplication defined for non-numerical mathematical entities) · is hlutatala (number resulting from division) · nl quotiënt (number resulting from division) · pl iloraz (number resulting from division) · es cociente (number resulting from division) · ka განაყოფი (number resulting from division) · sk podiel (number resulting from division) · pt quociente (number resulting from division) · ca quocient (number resulting from division) · fa خارج قسمت (number resulting from division) · hy քանորդ (number resulting from division) · he מָנָה (number resulting from division) · bg квота (quotum or quota) · io quociento (number resulting from division) · te భాగఫలము (number resulting from division) · es cuociente (result of inverse of multiplication defined for non-numerical mathematical entities) · ro cât (number resulting from division) · tr bölüm (number resulting from division) · fi osamäärä (result of inverse of multiplication defined for non-numerical mathematical entities) · it quoziente (result of inverse of multiplication defined for non-numerical mathematical entities) · pt quociente (result of inverse of multiplication defined for non-numerical mathematical entities) · tl kahatian (number resulting from division) · vi thương số (number resulting from division) · es cuociente (number resulting from division) · pl współczynnik (number resulting from division) · sv kvot (result of inverse of multiplication defined for non-numerical mathematical entities) · bg коефицие́нт (result of inverse of multiplication defined for non-numerical mathematical entities) · mi otinga (number resulting from division) · ru ча́стное (number resulting from division) · it quoziente (number resulting from division) · fr quotient (number resulting from division) · ast cociente (result of inverse of multiplication defined for non-numerical mathematical entities) · be дзель (number resulting from division) · hi विभाग (number resulting from division) · el πηλίκο (number resulting from division) · ru часть (quotum or quota) · fr rapport (number resulting from division) · ar خَارِج (number resulting from division) · hi भजनफल (number resulting from division) · fa بهر (number resulting from division) · bg ча́стно (number resulting from division) · de Quotient (number resulting from division) · cmn 商 (number resulting from division) · hi बाँटफल (number resulting from division) · fi osamäärä (number resulting from division) · km ផលចែក (number resulting from division) · vi thương (number resulting from division) · pt cota (quotum or quota) · id hasil bagi (number resulting from division) · az qismət (number resulting from division) · nl quotum (quotum or quota) · gl cociente (result of inverse of multiplication defined for non-numerical mathematical entities) · gl cociente (number resulting from division)

quotient en · VERB

Pronunciation

• (US) audio
• kwōʹshənt (US)
• /ˈkwəʊʃənt/ (UK)
• /ˈkwoʊʃənt/ (US)

Etymology

Borrowed from Latin quotiēns, from quotiēs.

Meanings

1. To identify elements within a mathematical structure so as to create a quotient.
   • We show that such deformations still exists after quotienting out by diffeomorphisms only if the non linear addition is non associative. 2015, Valerio Astuti, Laurent Freidel, “Lorentz invariant deformations of momentum space”, in arXiv:
   • In type theory, one commonly replaces quotients with setoids. In this approach, the delay datatype quotiented by weak bisimilarity is still a monad–a constructive alternative to the maybe monad. 2019, James Chapman, Tarmo Uustalu, Niccolò Veltri, “Quotienting the delay monad by weak bisimilarity”, in Mathematical Structures in Computer Science, volume 29, number 1, page 67:

Forms

Relateds

successor · × ×... = (multiplication, factorization; factor) · + +... = (addition, summation) · √ = (root extraction; degree) · − = (subtraction) · × = (multiplication, factorization; multiplier) · + = (addition, summation) · Or sometimes (numerator) / (denominator) = (quotient) · = (exponentiation; base) · ÷ = (division; dividend) · log(base) = (logarithmization)