| 释义 |
Definition of coset in English: cosetnoun ˈkəʊsɛtˈkōset Mathematics A set composed of all the products obtained by multiplying each element of a subgroup in turn by one particular element of the group containing the subgroup. Example sentencesExamples - Recall that Heidi seemed to be under the impression that cosets could be defined ostensively.
- This observation led him into the intricacies of group theory: notions of groups, normal subgroups, quotient groups, running products, and cosets.
- Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.
- The procedure, today much used in computer implementations, enumerates the cosets of a subgroup of finite index in a finitely presented group.
- Here it amounts to elementwise multiplication of the two cosets.
Definition of coset in US English: cosetnounˈkōset Mathematics A set composed of all the products obtained by multiplying each element of a subgroup in turn by one particular element of the group containing the subgroup. Example sentencesExamples - This observation led him into the intricacies of group theory: notions of groups, normal subgroups, quotient groups, running products, and cosets.
- Recall that Heidi seemed to be under the impression that cosets could be defined ostensively.
- Here it amounts to elementwise multiplication of the two cosets.
- The procedure, today much used in computer implementations, enumerates the cosets of a subgroup of finite index in a finitely presented group.
- Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.
|