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21.
A generalization of the well-known Sperner lemma is suggested, which covers the case of arbitrary subdivisions of (convex)
polyhedra into (convex) polyhedra. It is used for giving a new proof of the Thomas-Monsky-Mead theorem saying that the n-cube
can be subdivided into N simplices of equal volume if and only if N is divisible by n!. Some new related results are announced.
Bibliography: 6 titles.
Published inZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 245–254. 相似文献
22.
23.
Motivated by service levels in terms of the waiting-time distribution seen, for instance, in call centers, we consider two
models for systems with a service discipline that depends on the waiting time. The first model deals with a single server
that continuously adapts its service rate based on the waiting time of the first customer in line. In the second model, one
queue is served by a primary server which is supplemented by a secondary server when the waiting of the first customer in
line exceeds a threshold. Using level crossings for the waiting-time process of the first customer in line, we derive steady-state
waiting-time distributions for both models. The results are illustrated with numerical examples. 相似文献
24.
Filipe J. Marques M. Theodor Loots Andriëtte Bekker 《Mathematical Methods in the Applied Sciences》2019,42(17):5718-5735
Series representations for several density functions are obtained as mixtures of generalized gamma distributions with discrete mass probability weights, by using the exponential expansion and the binomial theorem. Based on these results, approximations based on mixtures of generalized gamma distributions are proposed to approximate the distribution of the sum of independent random variables, which may not be identically distributed. The applicability of the proposed approximations are illustrated for the sum of independent Rayleigh random variables, the sum of independent gamma random variables, and the sum of independent Weibull random variables. Numerical studies are presented to assess the precision of these approximations. 相似文献
25.
A new simplified synthesis of monocrystalline chips of SrB4O7: Sm2+ pressure calibrant, well-suited for the diamond anvil cell (DAC) powder diffraction experiments, is proposed. It consists of ordinary solid-state synthesis of fine-grained SrB4O7: Sm2+ and subsequent annealing near melting temperature. The obtained material was characterized and tested in HP-HT DAC experiment. 相似文献
26.
27.
H. Bekker H. J. C. Berendsen W. F. van Gunsteren 《Journal of computational chemistry》1995,16(5):527-533
Simple expressions for the forces due to dihedral-angle interactions are derived using first principles of mechanics. The expressions require significantly fewer numerical operations than those generally used in the literature and provide insight into the physics of dihedral-angle interactions. It is also shown that the scalar virial due to angle-dependent interactions is zero. © 1995 by John Wiley & Sons, Inc. 相似文献
28.
B. M. Bekker 《Mathematical Notes》1975,17(3):244-246
A study is made of simple central algebras over an algebraic function field of one variable with a number field of constants. It is proved that there exists an algebra with a given collection of local invariants satisfying the reciprocity law under the assumption that the orders of the invariants are odd or the field of constants is purely imaginary. 相似文献
29.
É. E. Nifant'ev M. P. Koroteev N. M. Pugashova A. R. Bekker V. K. Bel'skii N. S. Magomedova N. K. Kochetkov 《Russian Chemical Bulletin》1988,37(9):1973-1974
Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 9, pp. 2191–2192, September, 1988. 相似文献
30.