Sentence examples for obtain a condition from inspiring English sources

We first give an estimate for solutions of the BVP (3.1) so as to obtain a condition for boundedness.

We first explain the large system analysis and apply variational analysis to obtain a condition for optimal resource allocation.

Analytical expressions obtained for the catalyst distributions are used to obtain a condition under which a sharp shell distribution will always occur.

In next, we employ a method used by Kaplan in [7] to obtain a condition, which leads to blow-up at some finite time and also leads to an upper bound for the blow-up time.

We establish inclusion relations between the newly introduced spaces (w_{alpha,o}^{f}), (w_{alpha}^{f}), (w_{alpha, infty}^{f}) and finally obtain a condition under which the notions of strong Cesàro summability of order α with respect to a modulus f and strong Cesàro summability of order α are equivalent.

As a consequence, we obtain a condition on the Lefschetz number L ( f ) of f that implies the existence of fixed points of f in X ∖ A. We demonstrate by an example that the same Lefschetz number condition is not sufficient to imply the existence of fixed points in X ∖ A for maps f : ( X, A ) → ( X, A ) in general.

Another area of obscurity concerns the appropriate number of pairings in the acquisition phase to obtain a conditioned response.

We obtained a condition equivalent to (B) in [9].

3, we will obtain a sufficient condition and a necessary condition for powers of weighted translations to be disjoint topologically transitive.

Furthermore, we obtain a sufficient condition under which the lattices with multiple cylindrical and multiple toroidal boundary conditions have the same entropy.

Motivated by this fact, in this paper, we obtain a simpler condition equivalent to (A).