英和和英

語源

Borrowed from Latin quotiēns, from quotiēs.

発音

• (英国発音) IPA: /ˈkwəʊʃənt/
• (米国発音) enPR: kwōʹshənt, IPA: /ˈkwoʊʃənt/
• 韻: -oʊʃənt

名詞

quotient (plural quotients)

1. (arithmetic) 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. (mathematics) 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. (cricket) 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.

   Coordinate term: net run rate

5. (mathematics, group theory) A mathematical structure formed by identifying elements within a larger one.

派生語

関連する語

動詞

quotient (third-person singular simple present quotients, present participle quotienting, simple past and past participle quotiented)

1. (mathematics, group theory) To identify elements within a mathematical structure so as to create a quotient.
   • 2015, Valerio Astuti, Laurent Freidel, “Lorentz invariant deformations of momentum space”, in arXiv‎:

     We show that such deformations still exists after quotienting out by diffeomorphisms only if the non linear addition is non associative.

   • 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:

     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.

参考

Other terms used in arithmetic operations:

Advanced hyperoperations: tetration, pentation, hexation

アナグラム

• not quite