Traduction et analyse de mots par intelligence artificielle ChatGPT
Sur cette page, vous pouvez obtenir une analyse détaillée d'un mot ou d'une phrase, réalisée à l'aide de la meilleure technologie d'intelligence artificielle à ce jour:
- comment le mot est utilisé
- fréquence d'utilisation
- il est utilisé plus souvent dans le discours oral ou écrit
- options de traduction de mots
- exemples d'utilisation (plusieurs phrases avec traduction)
- étymologie
Qu'est-ce (qui) est coset$500514$ - définition
![[''G'' : ''H'']}} is 4.](https://commons.wikimedia.org/wiki/Special:FilePath/Left cosets of Z 2 in Z 8.svg?width=200 "[''G'' : ''H'']}} is 4.")
![A [[torus]]. The standard torus is homogeneous under its [[diffeomorphism]] and [[homeomorphism]] groups, and the [[flat torus]] is homogeneous under its diffeomorphism, homeomorphism, and [[isometry group]]s.](https://commons.wikimedia.org/wiki/Special:FilePath/Torus.png?width=200 "A [[torus]]. The standard torus is homogeneous under its [[diffeomorphism]] and [[homeomorphism]] groups, and the [[flat torus]] is homogeneous under its diffeomorphism, homeomorphism, and [[isometry group]]s.")
Wikipédia
In mathematics, specifically group theory, a subgroup H of a group G may be used to decompose the underlying set of G into disjoint, equal-size subsets called cosets. There are left cosets and right cosets. Cosets (both left and right) have the same number of elements (cardinality) as does H. Furthermore, H itself is both a left coset and a right coset. The number of left cosets of H in G is equal to the number of right cosets of H in G. This common value is called the index of H in G and is usually denoted by [G : H].
Cosets are a basic tool in the study of groups; for example, they play a central role in Lagrange's theorem that states that for any finite group G, the number of elements of every subgroup H of G divides the number of elements of G. Cosets of a particular type of subgroup (a normal subgroup) can be used as the elements of another group called a quotient group or factor group. Cosets also appear in other areas of mathematics such as vector spaces and error-correcting codes.
