December 1 2006

最新推荐文章于 2010-02-10 21:25:00 发布

原创最新推荐文章于 2010-02-10 21:25:00 发布 · 1k 阅读

0 ·

CC 4.0 BY-SA版权

文章标签：

#up

本文探讨了余类的概念，将其视为一种等价家族，并认为这是一种不寻常的方式来划分群。通过选择一个子群并利用它来覆盖群中的所有或部分元素，可以形成等价集合。从这些等价集中选出代表元素，有助于简化整个群的计算规则。

What is the coset? In my view, coset is just another equivalence family. This is unusual
approach to divide in a group. People can pick out a sub-group from a group and use it to
cause all or part elements in the group by that sub-group. The caused result is a family,
a set family. Those elements that got the same coset can put into the same equivalence set.
In this way, we can pick out several represents from those equivalence sets, and can educe
the computing rules of the whole group from that sub-group and those several represented
elements. So, I think that it is also a simplification.

By the way, what we can learn from the coset mind is to reduce a scope and find out represent
things when facting up to a large or complicated question.