Sentence examples for consequently a solution from inspiring English sources

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). □.

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.

Consequently, a solution for the situation is requested from the oracle at Delphi (lines 68 72), while the Chorus plead for Athena, Zeus, Artemis, and Apollo to save the town from the disaster (lines 160 165) (2, 3 ).

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.

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].

<img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0014468.e030.PNG" class= inline-graphic"/> As a result, objects that have a small distance between them will have a large flow and consequently, a good solution for the QAP will assign similar objects in nearby locations.

This solution is, consequently, a non-coordinated solution.

Dried pellets were consequently impregnated with a solution containing butyrylcholinesterase.

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.

Therefore, problem (1.7) has a solution, and consequently, (1.1) has a solution.