Sentence examples for using the projections established from inspiring English sources

In Figure  3, the future societal costs of delayed TKA are estimated using the projections established by Kurtz et al [ 3].

In this section, we introduce a new class of extended general nonconvex Wiener-Hopf equations and some new special cases from it, and by using the projection method, we establish that the aforesaid class is equivalent with the class of extended general nonlinear regularized nonconvex variational inequalities (3.1).

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

Using the projection operator technique, one usually establishes an equivalence between the variational inequalities and the fixed-point problem.

Using the projection operator technique, one usually establishes an equivalence between variational inequalities and fixed point problems.

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

We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an iterative algorithm and analysis convergence of the algorithm.

One can establish the equivalence between problems (9) and (10) by using the projection operator technique; see Noor [17, 18, 22].

Noor [31] has established the equivalence between general nonconvex variational inequality (1) and the fixed point problem using the projection operator technique.

By using the projection relation of differential geometry, the optimal path generation algorithm of the Bézier surface based on Hilbert fractal polishing path is established.

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.