Sentence examples for by using our result from inspiring English sources

Therefore, it is urgent for us to see whether these algorithms can do better by using our result.

In Section 4, by using our result, we deal with the discrete impulsive delay Nicholson's blowflies equation.

We notice that by using our result some fixed-point theorems in the context of G-metric space can be deduced.

By using our result, we establish the existence of solution for the following an integral equations: x ( c ) = ϕ ( c ) + ∫ a b K ( c, r, x ( r ) ) d r, where b > a ≥ 0, x ∈ C [ a, b ] (the set of continuous real functions defined on [ a, b ] ⊆ R ), ϕ : [ a, b ] → R, and K : [ a, b ] × [ a, b ] × R → R are given mappings.

Moreover, by using our result, we show the existence of solution for the following initial-value problem: u t ( x, t )  = u x x ( x, t )  + F ( x, t, u, u x ), - ∞ < x < ∞, 0 < t ≤ T, u ( x, 0 ) = φ x, - ∞ < x < ∞, where we assume that φ is continuously differentiable and φ, φ' are bounded and F : ℝ × I × ℝ × ℝ → ℝ with F (x, t, u, u x ) is a continuous function.

As another application, we establish that the equivalence problem for extended single-string automata, known to express the equality of time granularities, is PSPACE-complete by designing a reduction from QBF and by using our results for PLTLmod.

By using our results in this paper, we can give an answer to the problem which is introduced by I.-C.

We illustrate this method by using our results to calculate age- and V(24 -adjusted 5% "normal limit" tables of F(24 -adjusted and V(max).

As applications, we claim that the existence of common solution of system of Urysohn integral equation by using our results.

We notice that by using our results some fixed point results in the context of dislocated quasi metric spaces can be deduced.

Finally, we display the results of one example to confirm the validity of our conclusions, and we use some numerical experiments to show that we increase the efficiency of these algorithms designed for (l_{2,p} -minimization by using our resul_{2,p} -minimization