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All the relations between d and n are linear with very high linear dependent coefficients.
Removing the most linear dependent columns from A leads to the formation of a minimal basis set which well spans the phase space of the problem at hand.
From the total differentials of the kinematic equations, the error sensitivity matrix is obtained to find out linear dependent parameters and the effects of kinematic parameters on the press accuracy are studied.
Reducing the column length lowers the complexity of locating the smallest set of linear dependent coefficients.
More specifically, when noise is absent, for any two linear dependent time series since they are the input and output of a linear system, and if the two time series are linearly independent.
In cases when input matrix A is ill-conditioned (high condition number) or rank-deficient (matrix contains linear dependent columns), the computed vectors Q can be far from orthogonal even when computed with high precision.
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The parameter τ ≠ l renders a non-linear dependent relationship between amplitude of the fluctuations and number of nests.
Comparisons between groups were performed with student t-test, Mann-Whitney U test, unconditional z-pooled test for table analyses with small counts (≤ 5) [ 17], exact chi-square and linear-by-linear dependent on type of variable and normality.
The finite-field Gauss elimination method [30] has to be used to eliminate those linear-dependent columns to zero.
By means of this algorithm, the linear-dependent columns in the matrix will be eliminated to zeros.
If we cluster many frames with the same label, we increase the chance of different nodes selecting different schedules, thus reducing the case of linear-dependent packets in NC.
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