Sentence examples for by using the general from inspiring English sources

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equation (1.5) was independently proposed by Fokas [45], by Fuchssteiner [46], and Olver and Rosenau [47] as a new generalization of integrable system by using the general method of tri-Hamiltonian duality to the bi-Hamiltonian representation of the modified Korteweg-de Vries equation.

Numerical verification is performed by using the general purpose finite element package ABAQUS.

The underwater drag for the range of motion was calculated by using the general fluid equation.

The solution is obtained by using the general expression for a biharmonic stress function in bipolar coordinates.

By contrast, the results of modern science can be justified, I think, by using the general epistemic principles that we all share.

Overlooking this progress, the editorial suggests that the Environmental Protection Agency should create a new program by using the general duty clause in the Clean Air Act.

By using the general finite element (FE) software package ABAQUS, elaborated FE models were developed and validated against the obtained test results and other available existing test data.

Analyses on both simulated and empirical data were performed by using the general linear model with a shape assumed for sustained effects, but not transient effects.

In this paper, diffusion behavior of Brownian particles moving in a 1D periodic potential landscape has been theoretically investigated by using the general quantum Langevin equation.

With this objective a parametric study was carried out, based on modeling of 140 RCC under monotonic loading by using the general finite element package ABAQUS.

He also laid the foundation of the theory of black holes by using the general equations to demonstrate that bodies of sufficient mass would have an escape velocity exceeding the speed of light and, therefore, would not be directly observable.

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