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The values of interface stresses obtained by means of flexural homogenisation are compared with 3D homogenisation results using periodicity constraints along the thickness direction, and compared qualitatively with experimental facts available from the literature.
By summing the above equations and using periodicity of x, we obtain the following result.
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After that, a simultaneous grouping process uses periodicity similarity to group voiced components and produces simultaneous streams.
For the seasonal components, we included the most widely used periodicities, ie 12, 6 and 3 months.
In our application, we chose to propose the most widely used periodicities, ie 12, 6 and 3 months.
Equation (34) can be evaluated by an M-point IFFT for each m value and by a subsequent index-finding among the stored values using the periodicity of the complex exponential kernel with period M. Equations (35) and (37) require an M-point IFFT and an N-point IFFT, respectively, and subsequent index finding stages.
In this study, a novel model for a periodically supported beam subjected to moving loads was developed using a periodicity condition on reaction forces.
Integrating the first equation in (5) from 0 to T and using the periodicity of u0 t) and (4), we have.
If f ( x ) is a Fibonacci function, then lim x → ∞ f ( x + 1 ) f ( x ) = 1 + 5 2. In this section, we obtain several results on Fibonacci functions using the periodicity.
The transition frequency is computed from the spectrum of the LPC residual for each frame of the signal using a periodicity measure, which is based on the flatness of the instantaneous frequency (IF) contour in the frequency domain.
Multiplying the first equation of (4.2) by u, integrating over (Q_{omega}), and using the periodicity of u, we obtain underbrace{ iint_{ Q_{omega} } frac{partial u }{partial t} u,dx,dt }_{0} + iint_{ Q_{omega} } | nabla u | ^{2},dx,dt = iint_{ Q_{omega} } m(t) bigl u^{4}- u^{2}+L u^{2}bigr),dx,dt.
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