Sentence examples for applies to problem from inspiring English sources

Thus, the conclusion of Theorem 3.1 applies to problem (3.13).

Hence the conclusion of Theorem 3.1 applies to problem (3.9).

The same arguments as above show that Theorem 3.1 applies to problem (4.5), taking again into account Remark 3.2.

Thus all the conditions of Theorem 3.5 are satisfied, and the conclusion of Theorem 3.5 applies to problem (3.8).

Thus all the conditions of Theorem 3.1 are satisfied, and consequently, its conclusion applies to problem (3.7).

Thus, all the conditions of Theorem 3.13 are satisfied, and hence its conclusion applies to problem (3.3) with (F t, x)) given by (3.6).

(62) The developed modified implicit scheme is applied to problem (59 - 61 59 - 61

Moreover, there are some technical reasons why model predictive control cannot be applied to problem (2 - 6).

end{aligned}Then, DCA apply to Problem (19) is described as follows.

So, all the assumptions in Corollary 3.1 are satisfied, our results can be applied to problem (4.2).

Treating {x(i)} and {z ij } as two blocks of variables, the two-block ADM is applied to problem (4).