Sentence examples for by using some analysis from inspiring English sources

The exponential synchronization criteria were obtained by using some analysis techniques.

In this paper, by using some analysis techniques, we establish some sufficient condition for the existence and uniqueness of positive T-periodic solutions of (1.1).

We established a new term (l x,t)), which satisfies the (AR) conditions combined with the critical term (frac{vert tvert ^{2_{s}^ alpha -1}}{vert zvert ^ alpha -1}) by using some analysis techniques.

Comparing by using some statistical analysis the costs of the sequence proposed by the SS algorithm with those corresponding to the reverse order, efficiency of the metaheuristic is shown up.

By using some new analysis techniques, we prove the strong convergence of the proposed algorithms.

By using some novel analysis techniques, Kronecker product and Lyapunov functional candidate, some delay-distribution-dependent conditions are derived to ensure that the discrete-time complex network with randomly coupling and distributed time-varying delay is synchronized in mean square.

In comparison with [8] and [11], we point out that species i is still extinct when (sigma_{i}^{2}=2b_{i}) by using some novel stochastic analysis techniques.

In some studies, imbalances in participant characteristics are adjusted for by using some form of multiple regression analysis.

Thus, herein, we set a relatively simple path analysis model by using some core variables.

Also the closed-form representation for the capacity can be obtained, with the exponential integral function of first order, i.e., G 1 ( x ) = − Ei ( − x ), being resolved by using some specific method (e.g., numerical analysis using MATLAB).

Data were collected from insulation markets and some data calculated by using LCC analysis.