Sentences with COSET
Check out our example sentences below to help you understand the context.Sentences
1
"She divided the set into two cosets."
2
"The coset of the subgroup determines its equivalence class."
3
"The coset is a left shift of the original set."
4
"The coset operation is associative."
5
"The coset representatives were chosen to be minimal."
6
"The quotient group consists of the cosets."
7
"The coset space is a factor space."
8
"Each coset is disjoint from the others."
9
"The coset decomposition simplifies the analysis."
10
"The coset leader must be chosen carefully."
11
"The group elements can be partitioned into cosets."
12
"The coset enumeration algorithm was used."
13
"He applied the coset transformation to the code."
14
"The left cosets are equivalent to the right cosets."
15
"The coset space forms a partition of the original set."
16
"The coset representatives were selected randomly."
17
"The coset intersection is empty."
18
"He determined the coset order using Lagrange's theorem."
1
"In algebra, a coset is a subset of a group that can be obtained by multiplying all the elements of a fixed element by a particular element of the group."
2
"To determine whether a subset is a coset, we need to check if it contains all elements produced by left (or right) multiplication of a fixed element."
3
"The cosets of a subgroup form a partition of the whole group."
4
"In modular arithmetic, cosets are particularly useful to understand congruence relationships."
5
"To study properties of a group, it is often helpful to examine the cosets associated with a subgroup."
6
"To find all the left cosets of a subgroup, we can multiply each subgroup element by different group elements."
7
"The index of a subgroup is the number of distinct cosets it has in the whole group."
8
"In group theory, the left coset of a subgroup is denoted as aH, where H is the subgroup and a is an element from the group."
9
"Two cosets are either equal or disjoint from each other, forming a partition of the group."
