Sentence examples for applying continuity from inspiring English sources

Their unknown distribution is established by applying continuity conditions at the interfaces, in all directions.

Their unknown distribution is established by applying continuity conditions in all directions at the interfaces taking into account their relation with the interface slip through the shear connector stiffness.

Such extended results can be obtained by standard techniques in real analysis by applying continuity arguments and Lebesgue's dominated convergence theorem, and hence we need not spell out all the details in this paper.

Finally, we concluded that applying continuity was highly effective for achieving perceptual naturalness, judging from the results showing that (iii) our gradual transformation method can perform well for perceived naturalness.

By applying continuity of wave function at boundaries for the system consisting of N barriers, ( b_{1} ) and ( a_{ 2N + 1)} ) are obtained which represent reflection and transmission coefficients, respectively.

The transfer matrix (T-matrix) solution technique, which involves a system global transfer matrix formed as the product of the individual transfer matrices by applying continuity of the displacement and stress components at the interfaces of neighbouring layers, is employed to solve for the modal scattering coefficients.

Applying the continuity of T and (w_{n+1}(t)=Tw_{n}(t)), we know (Tw^=w^).

Applying the continuity of T and (v_{n+1}(t)=Tv_{n}(t)), we know (Tv^=v^).

Applying the continuity of A and (nu_{n+1} = Anu_{n} ), we get (Anu^ = nu^).

It is immediate integrating (22) and applying the continuity of (varphi r,theta)) and density.

Hence, applying the continuity of F and Arzela-Ascoli theorem, F ( D ) is relatively compact.