Sentence examples for proved that the generated from inspiring English sources

We proved that the generated iterative sequence converges strongly to a solution of a non-smooth composite optimization problem.

We also proved that the generated hollow void and mesporous lay in carbon spheres could boost dielectric loss ability and impedance match behavior.

Supposing that the direction of R c is perpendicular to that of P1, i.e., (varvec{s}_{c}^{text{T}} varvec{s}_{1} = 0), it can be proved that the generated finite screw will not be changed if we use one R c to replace P2, or two R c to replace P1 and P2.

3, we present the modified proximal gradient algorithm with perturbations and prove that the generated sequence ({x_{n}}) converges strongly to a solution of problem (1).

This behavior is consistent with the fast destruction of phenol and proves that the generated oxidation products can further react with OH· to form various breakdown products and eventually mineralize.

We prove that the generated sequences converge strongly to theunique solutions of particular variational inequality problems defined over the setof common fixed points of a sequence of nearly nonexpansive mappings.

They proved that the sequence generated by the above algorithm converges strongly to, where is the generalized projection of onto.

They proved that the sequence generated by (1.5) converges strongly to.

In 2003, Xu [5] proved that the sequence generated by (1.4).

They proved that the sequence generated by (1.15) converges weakly to, where.

They proved that the sequence generated by (1.2) strongly converges strongly to.