剰じょう余よ類るい

noun

coset; residue class

Mathematical term used in group theory and modular arithmetic. 剰余類 refers to a set of elements that are equivalent under a given equivalence relation, such as a coset in group theory or a residue class modulo n.

• 整せい数すうを3で割わったときの剰じょう余よ類るいは3つある。

  There are three residue classes when integers are divided by 3.

• 群ぐん論ろんでは、部ぶ分ぶん群ぐんによる剰じょう余よ類るいを考かんがえる。

  In group theory, we consider cosets with respect to a subgroup.