Sentence examples for for the corresponding problem from inspiring English sources

Sufficient conditions for the corresponding problem are proposed in terms of linear matrix inequalities.

For the corresponding problem in compound-Gaussian environment, a non-Gaussian parametric adaptive matched filter (NG-PAMF) has been derived in [24].

In Table 5, the results of PSO [32], GCGA [36] and GA [34] are taken from the corresponding reference paper and the results of the proposed method are taken from a single run of the algorithm for the corresponding problem.

Of course the natural question is whether or not the similar results still hold for the corresponding problem involving the one-dimensional p-Laplacian ( | u ′ ( t ) | p − 2 u ′ ( t ) ) ′ + λ f ( u ( t ) ) = 0, t ∈ ( 0, 1 ), u ( 0 ) = u ( 1 ) = 0. (1.7).

Antibody antigen docking requires different methodology from that used for the corresponding problem concerning non-antibody targets (Brenke et al., 2012; Mendez et al., 2005).

As an application, we obtain a lower bound for the eigenvalues of the corresponding problem.

Remark 1 Letting u = 0 in our result, we obtain the algorithm for minimal-norm solutions of the corresponding problem.

Therefore, only using the axiom of choice one can find a mapping in the conditions of Theorem 2.4 which does not satisfy the assumptions in Lemma 2.5 and for which the corresponding problem (1.1) lacks the greatest (or the least) Carathéodory solution.

Finally, we briefly discuss the consequences of the findings for heuristically searching the corresponding problem spaces.

For example, Babin and Vishik [12] for the first time investigated the corresponding problem for the equations of parabolic type in weighted Sobolev spaces as phase space.

Such approaches, where one problem for one unit is solved in connection to the corresponding problem for all other units, have been developed in various other disciplines, under a variety of names.