Mekh-mat Entrance Examinations Problems
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چکیده
منابع مشابه
Acceleration correlations and pressure structure functions in high-reynolds number turbulence.
We present measurements of fluid particle accelerations in turbulent water flow between counterrotating disks using three-dimensional Lagrangian particle tracking. By simultaneously following multiple particles with sub-Kolmogorov-time-scale temporal resolution, we measured the spatial correlation of fluid particle acceleration at Taylor microscale Reynolds numbers between 200 and 690. We also ...
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We first answer a question of de Caen [Extremal Problems for Finite Sets, János Bolyai Math. Soc., Budapest, 1994, pp. 187–197]: given r ≥ 3, if G is an r-uniform hypergraph on n vertices such that every r + 1 vertices span 1 or r + 1 edges, then G = Kr n or K r n−1, assuming that n > (p − 1)r, where p is the smallest prime factor of r − 1. We then show that the Turán density π(Kr r+1) ≤ 1 − 1/...
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