Sentence examples for ensured solutions from inspiring English sources

By experimenting with a range of BLM values and visually inspecting the results, we identified a modifier that ensured solutions were adequately compact.

Consequently, the ensured weak solutions for the problem (1) when (hequiv0) in Theorems 3.1 and 3.2 and in Corollary 3.3 are generated by impulses when impulsive terms (f_{k},g_{k}neq0) for some (1leq kleq m), as well as for the problem (11) when (hequiv0) in Corollary 3.4 are generated by impulses when impulsive terms (f_{1},g_{1},g_{).

England lost the Test match by an innings and 48 runs, a result that ensured that Australia retained the Ashes.

Hence, for any λ ∈ [ 0, + ∞ ) and μ ∈ [ 0, 1 ], the uniqueness of the solution of problem (3.4) is ensured (recall Remark 2.3).

If (u(t)) is bounded on ([tau,beta)) for some (tau >0), then (beta =+infty ). The result follows immediately from the results of Section 4. □. Suppose that conditions ((H_{1}))-((H_{3})) hold. Then (1) has a solution in (C [0,+infty))). The existence of a local solution (u(t)) of (1) is ensured thanks to Theorem 3.2.

In-service leadership training was feasible, with ensured protected time for fellows to generate evidence-based solutions to challenges within their work environment.

The modifications we have made ensured that it could pass, whilst ensuring the key elements of the Commission proposal remain".

The stability of the overall system is ensured via rigorous stability analysis where asymptotic position tracking is ensured.

The stability of the overall system is ensured by Lyapunov type analysis where asymptotic position tracking is ensured.

There is no ensured, sustainable employment in this model.

This ensured consistency in egg mass across treatments.