Sentence examples for by introducing a matrix from inspiring English sources

This form of hardening is incorporated into a modified yield function by introducing a matrix comprising dimensionless hardening functions.

However, the remaining errors may be largely absorbed by introducing a matrix collision operator with velocity-dependent collision rates for the diagonal components of the momentum flux tensor.

Now, by introducing a matrix Φ such that F Ψ F H ≼Φ, and a scaler variable τ r, the relay optimization problem (12) can be transformed to begin{array}{*{20}l} min_{tau_{mathrm{r}}, mathbf{F}, {{boldsymbol Xi}_{k}}, {boldsymbol Phi}} & tau_{mathrm{r}} end{array} (14a).

Then, by introducing a Vandermonde matrix, the mathematical expectation of the quadratic form of the system matrix is computed.

In addition, rank minimization problems (RMPs) are introduced and equivalently transformed into RCOPs by introducing a quadratic matrix equality constraint.

We simplify the notation by introducing a 3D matrix with size containing only the mean orientations of the direction model.

A mixed integer programming model of this problem is transformed into a CTCNN computation architecture by introducing a permutation matrix expression.

We demonstrate that a major difficulty in training any RNN is the problem of exploding gradients, and we propose a solution to this in the case of tracking problems, by introducing a stabilization matrix and by using carefully constrained context units.

To get rid of the small singular values that may cause the violation of the discrete Picard condition, the decorrelator detector's solution is modified by introducing a filtering matrix F such that: y REG = ∑ n N f n u n H r σ n v n = VF Σ − 1 U H r, (7).

Based on this, Geng et al. [21 27] further improved the method so as to conveniently investigate algebraic-geometric solutions of differential and difference equations by introducing a new matrix consisting of fundamental solutions of spectral problems which satisfy discrete zero-curvature equations.

In DCA, the compensation for depth is achieved by introducing a weight matrix within L2 regularization to counter-balance the reduced sensitivity of measurement at deeper depth.