Sentence examples for minimizing with respect from inspiring English sources

Low-energy morphologies are determined by minimizing, with respect to shape parameters, the elastic microstrain energy associated with local incompatibility of transformation strains.

as one finds by minimizing with respect to That is (3.31).

The separation matrix W(f) is estimated by minimizing, with respect to W(f), a cost function ψ based on a sparsity criterion, under a unit norm constraints for W(f).

This motivates us to consider the distance function (d(Ax,x^) = | Ax-x^|) for all (xin C), and the constrained convex minimization problem: min_{xin C,x^in Q} frac{1}{2} biglVert Ax - x^ bigrVert ^{2} such that minimizing with respect to (x^ in Q).

In the BSS step, we estimate the separation matrix W(f) by minimizing, with respect to the separation matrix W(f), a cost function ψ based on a sparsity criterion, under a unit norm constraint for W(f): min W ψ ( W ( f ) ) such that W ( f ) = 1 (11).

By substituting Hmax into the distortion-based MSE and minimizing with respect to the β q s, we get H max = I i Φ x b max b max H λ max = I i Φ v b max b max H. (27).

Theorem 2. For a given set of forwarding nodes whose corresponding is, respectively, is minimized with respect to if and only if the are ordered in an increasing order such that the higher priority is given to the node with the smaller.

When the values of these decision variables are added to the point cloud elevations of their respective LiDAR strips, the systematic step errors among adjoining strips are minimized with respect to the elevations provided by the point cloud of the benchmark strip.

The eigenvalues are then minimized with respect to γ.

Specifically, the sum of the squared residual error of the model predictions from the first iteration strains was minimized with respect to the previously described parameters.

We propose Wilks' lambda as a criterion to be minimized with respect to variable weights w1,…,wm.