Sentence examples for are derived through the from inspiring English sources

The dispersion characteristics are derived through the solving an eigenvalue problem.

The general solutions for the potentials are derived through the Fourier transformation with respect to the horizontal coordinates.

Finally, distinct cracking patterns are derived through the proposed embedded cohesive crack model by means of a practical example.

Then, the closed-form expressions of the expectation and variance of ICI are derived through the method of power series expansion and validated by Monte Carlo simulations.

Trigonometric shape functions are introduced to describe the buckling patterns, while the buckling equations are derived through the application of the minimum potential energy principle.

The governing equations are derived through the use of the principle of virtual displacements and a finite element discretization is performed with the C1 conforming rectangular element.

Then, the conditional PDF of D i when L e d g e occurs can be derived through the first derivative of F d (D i |L e d g e ).

Through the plea deal, the government avoids the embarrassment and the tricky work of proving a case with evidence that might have been derived through the harshest interrogation techniques approved by the Bush administration.

was derived through the elasticity mechanics method.

can be derived through the following formula:, which requires that first we obtain an estimation of.

Second, the local energy of each instantaneous frequency can be derived through the Hilbert Transform.