Sentence examples for by using the projection from inspiring English sources

Second, the excitations within the solute were projected out by using the projection operator, where represents the excitations within the solute's MO space.

Thus, the original signal can be restored by using the projection operators onto each convex set.

The difficulty in the treatment of large density difference is resolved by using the projection method.

The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma.

Now, by using the projection operator technique, we establish the equivalence between problem (11) and fixed point problem (8).

By using the projection operator technique, one can easily establish the equivalence between variational inequalities and fixed point problems.

While in previous studies using 2D beam element, distortions in the mode shapes caused by a small crack could not be detected, these distortions in the case using the 3D beam element can be amplified and inspected clearly by using the projections of the mode shapes on appropriate planes.

The projection model of the receiver can be determined by using the polynomial projection function [18].

Thus, in this paper, the structural damage identification analyses for the unit-linked floating model are carried out by using the parametric projection filter as "the third filter", and the notable characteristics of the parametric projection filter are made clear through the inverse analyses.

Nakajo and Takahashi [7] introduced a hybrid type iterative scheme by using the metric projection, and recently Takahashi et al. [8] established a modified type of this projection method, also known as the shrinking projection method.

The solution of AA-model [18] is obtained by using the gradient projection method: (36).