Sentence examples for consequently a solution to from inspiring English sources

Consequently, a solution to the combinatorial problem is found, and a mapping between the measurements and the agents is obtained.

Consequently, a solution to avoid primary beam shadowing is to use a low diameter capillary to collect the fluorescence signal at the vicinity of the surface.

Then, there exists a unique continuously differentiable function y0 : I × I → ℝ such that y 0 ( x, t ) = y ( c, t ) + ∫ c x K ( τ, t, y 0 ( τ, t ) ) d τ. (consequently, y0 is a solution to y x (x, t) = K x, t, y x,t))) and | y ( x, t ) - y 0 ( x, t ) | ≤ β 1 - β φ ( x, t ). for all x, t ∈ I. Proof.

Provided the data functions h and J i j are bounded, transversality conditions which guarantee that each possible solution of the problem in a given region crosses each barrier γ i at the unique impulse point τ i are presented, and consequently the existence of a solution to the problem is proved.

Hence, we conclude via the direct method of variational methods (see [20], Theorem 1.2) that there exists a global minimum point of I in (W_{0}) and, consequently, a solution of problem (1.2). □.

Attributing 'blame' or responsibility along gender stereotypes encourages the belief that the problem of, and consequently the solution to, prevention lies with the behaviours of a particular group, in this case women.

However, it is possible that none of the values of bandwidth satisfy the PU interference constraint within the given power budget, and consequently the solution to the above problem does not exist.

However, the electric vehicle suffers from relatively short range and long charging times and consequently has not become an acceptable solution to the automotive consumer.

Note that ISO impose high monitoring requirements [36] for ancillary services, and consequently, a statistical solution could be necessary to avoid the use of high performance meters in the entire customer group (i.e. to achieve cost-effectiveness for these customers) [37].

In other words, it allows the search process to be guided by the human's knowledge and, consequently, provide valuable solutions to the decision maker (DM).

Likewise, the proposed solution offers a computational complexity that is independent of the constellation order which consequently offers a solution that outperforms classical SD techniques for a reasonable computational complexity in the case of high-order constellations.