invariant lie subgroup

This paper presents a standardized natural gradient ICA(Independent Component Analysis) algorithm through improving the natural gradient ICA algorithm based on Lie Group Invariance.

对基于李群不变性的自然梯度ICA算法进行了改进,提出了一种规范化自然梯度ICA算法。

This paper mainly researches the relationship among the solution coset of linear equations form the angle of the coset of invariant subgroup,in the course of which the base and the dimension of quotient space have been found out.

从不变子群的陪集的角度研究线性方程组的解陪集之间的关系,并找到了商空间的基与维数。

The article studies the propertes of Fuzzy homomorphism in groups,the results are obtained that the image φ ′ λ(W) of a subgroup W is also a subgroup,and the image φ ′ λ(H) of a invariant subgroup H is also a invariant subgroup.

研究群的Fuzzy同态性质 ,获得了子群W的像 φ′λ(W )也是子群 ,不变子群H的像φ′λ(H)也是不变子群 ;构造了两个特殊不变子群L =△{ y∈G2 ｜ x∈G1,φ(x ,y) =φ(x ,e2 ) } ,φ- 1(e2 ) =△{x∈G1｜φ(x ,e2 ) =1 } ,获得不变子群的一个重要性质及Fuzzy同态基本定

This paper introduces the relationship between equivalence relation and subgroup, and from this equivalence law between congruence and normal subgroup can be deduced, The aim of this paper is to get a deeper understanding of equivalence relation, congruence, subgroup, normal subgroup and quotient group.

介绍了等价关系与子群的关系,并由此推导出同余关系与不变子群的等价定理,从而进一步加深对等价关系、同余关系、子群、不变子群以及商群的理解。