Results and Conclusion The concepts of strong linear dependence and weak linear independence are introduced,their some properties and distinguishing method are given,and some results of linear space are obtained.

Then it demonstrates that the linear correlations between DO and NH 3 N as well as COD Mn are both extraordinarily significant at a significance level of 99 9% by means of significance tests on correlation coefficients and regression coefficients.

his paper expounds tlie linear correlation of biochemical oxyen demand and chemical oxven demand for some certain wastewater,if the COD is kmown,then the BOD5 can be cacuhted.

The analysis shows that the ill-condition is caused by the linear correlation between some equations in the model.

Modified measures of multivariate association and linear dependence;

Strong linear dependence and weak linear independence

The sizes of holes of commonly used fastener and counterbore and normal diameters of bolts and screws assembled with them have remarkable linear dependence relationship.

Based on discussions for independent motions and partial degrees of freedom in plane mechanisms, the concept of the degree of freedom of motion linear relation is proposed through the motion linear relation analysis for links in plane motions.

The article sums up eight methods to judge the linearly dependent and the linearly independent of vectors.