algebra of regular represent

例句：

1. 1. In the context ofquantum mechanics, a regular representation isa way to represent states of a systemin terms of its fundamental properties.
   在量子力学的背景下，正规表示是一种用系统的基本属性来表示系统状态的方法。
2. 2. The mathematicaltheory of linear transformations provides a regularrepresentation for the action of matrices on vectorspaces.
   线性变换的数学理论为矩阵对向量空间的作用提供了一种正规表示。
3. 3. Theregular representation of a group is a setof elements that can be used to generateall possible permutations of the group's elements.
   群的正规表示是一组元素，可以用来生成群的元素的所有可能置换。