数列组的广义线性相关性

Non-homogeneous linear correlation of sequence group

本文将数列组的齐次线性相关与齐次线性无关,以及数列组之间的齐次等价的概念加以引伸提出了数列组的广义线性相关与广义线性无关、数列组之间广义等价等概念,探讨广义线性相关、广义线性无关的条件,并得到一些有关的结论.

In this paper, the concepts of homogeneous linear correlation and homogeneous linear independence, and homogeneous equivalence of sequence group are extended to such concepts as generalized linear correlation and generalized linear independence, generalized equivalence in sequence group. The condition for generalized linear correlation and generalized linear independence is discussed, and the relevant result is acquired.