Sentence examples for by considering the continuity from inspiring English sources

The transfer relationship between the state vectors at the inner and outer surfaces is ultimately obtained by considering the continuity conditions at the artificial interfaces.

In this study, we proposed a concept of event-based extreme precipitation (EEP) by considering the continuity of EP and defined the statistical variables for the characteristics of an EEP event by taking account of local tolerance capacity.

After getting the eigensolution of the simply supported circular plate, the frequency equation of the combined system was obtained by considering the continuity condition at the shell/plate joint.

After finding the free vibrational characteristics of the simply supported plate and shell before combination, the frequency equation of the combined system is obtained by considering the continuity conditions at the joint between the plate and the shell.

Scattering relations are also obtained by considering the continuity conditions at the interfaces between any two adjacent layers as well as the boundary conditions at the upper and lower surfaces.

By considering the continuity of U ¯ n ( z ), we have U ¯ n ( x sup ) → U ¯ n ( x ) when r n → 0. Therefore, by substituting U ¯ n ( x ) = ∫ H N ( x ) U ¯ n ( z ) b μ ( d z ) 1 / b in (14) we can use (16) for this case as well.

A detailed mathematical model was formulated by considering the momentum, continuity, energy and species equations.

Next we look, unlike Theorem 1.1, at [1, Theorem  2] in which Rockafellar achieved a linear convergence of the sequence by considering the Lipschitz continuity of at 0 instead.

Remark 2.3 (i) By considering the condition of continuity of F in Corollary 2.4, we obtain Theorem 3 in [4].

The close-form frequency function that yields the eigenvalues of the plate is extracted by considering the condition of continuity in displacement and slope between the regions and by considering the simply supported boundary condition of the plate.

The stability.' (R9/479) '…, I mentioned that familiarity is very important to cope with the daily life…' (R2/122) '… the biggest possible degree of continuity by considering the individual's needs in the surrounding conditions.