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Attempts to release the boundary restriction of the plate are also made to study its effect on sound reflection.
Early impact transient responses of the lattice sandwich plates can be reduced much through strengthening the boundary restriction.
As a corollary, we investigate the existence and uniqueness of Lipschitz solutions of the series-like iterative equation with a general boundary restriction, where is a given Lipschitz function, and are compact convex subsets of with nonempty interior.
4.2 various examples of operators ({mathcal {F}}), matrices A, and boundary operators ({mathcal {G}}) along with the application to conformal geometry, where we relax the umbilic boundary restriction for second derivative estimates in Yamabe problems with boundary as studied in [3, 19].
Alternatively, the cells can become reversibly arrested at the G1/S boundary (restriction point) of the cell cycle.
The probability that the pattern of distribution we observe could arise by random organization of the cells, assuming that there is no boundary restriction, is negligible (p<0.000001; Table 2).
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In 2003, the Turkish Cypriots relaxed boundary restrictions, allowing people on both sides of the divide to visit homes they had abandoned decades earlier.
Microtubules with typical boundary restrictions subjected to different temperatures are included in the analysis.
Natural vibration frequencies of microtubules of different lengths and boundary restrictions are predicted and compared with existing solutions.
Microtubules with different boundary restrictions are considered in case studies and vibration modes and frequencies are obtained and compared with available references.
Many of the phenomena studied in the nature are described by boundary value problems, in fact, by partial differential equations or systems of partial differential equations with boundary restrictions, and only few of them can be, in general, solved analytically.
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