quotient

plural quotients

1. arithmeticThe 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. mathematicsBy analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
3. obsoleterareA quotum or quota.
4. ball gamesThe 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. group theoryA mathematical structure formed by identifying elements within a larger one.

present singular third person quotients · participle present quotienting · participle past quotiented · past quotiented

1. group theoryTo 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

   1 more example

   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