Sentence examples for by using this projection from inspiring English sources

Thereafter we used the same transformation by using this projection without any further discriminant analysis procedure for depiction of Neurapas® balance.

By using this functional, Alber defined a generalized projection operator on uniformly convex and uniformly smooth Banach spaces which was further extended by Li [16] on reflexive Banach spaces.

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

For this end, we need the following lemma in which by using the projection operator technique, we verify the equivalence between the system of general nonlinear regularized nonconvex variational inequalities (3.1) and a fixed point problem.

For this end, we need to the following lemma in which by using the projection operator technique, we verify the equivalence between the problem (3.1) and the fixed point problem.

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

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

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.

For this purpose, we first establish the equivalence between parametric general nonconvex variational inequalities and the parametric Wiener-Hopf equations by using the projection technique.