Sentence examples for consequence problem from inspiring English sources

As a consequence, problem (P2) is generally non-convex and hence challenging to solve.

Thus, Theorem 3.3 applies and, in consequence, problem (1.1) has at least one solution.

Thus all the conditions of Lemma 2.1 are satisfied, and hence the operator equation (x=PxQx + Rx) has a solution in S. In consequence, problem (1) has a solution on J.

With (a<1/omegaapprox0.835006), the assumptions of Theorem 3.6 are satisfied, and in consequence problem (3.8) with (f t, x)) given by (3.10) has a solution on ([1, e]).

Thus all the conditions of Lemma 3.1 are satisfied and hence the operator equation (x=mathcal{A}xmathcal {B}x+mathcal{C}x) has a solution in S. In consequence, problem (1.1) has a solution on J.

As in Algorithm 4, the construction of the similarity matrix SIM takes into account the logical consequence problem in (mathcal {PR_{textit {ALC}}}) (lines 8 14) and has polynomial space complexity.

The chapter also contains discussions of the kinds of consecution or consequence, problems of inference connected with the referents of terms used in consecutive sentences, and also on how to contradict a conditional sentence.

They found convincing evidence that the allocation formula was seriously flawed from the beginning and that as a consequence, problems in establishing an effective management regime would continue unless they were resolved.

Choice: Keep it to myself Possible consequence: The problem will continue Possible consequence: The problem may go away on its own Possible consequence: It will continue to bother me.

In consequence, the problem of determining a control that force the satisfaction of time constraints, is formulated in terms of the invariance of the cone.

Consequence 1 Problem B has the Volterra property.