共查询到20条相似文献,搜索用时 46 毫秒
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In this paper, a class of -ary linear codes with two weights is constructed by using the properties of cyclotomic classes of . The complete weight enumerators of these linear codes are also determined. In some cases, they are optimal and can be employed to obtain secret sharing schemes with interesting access structures and asymptotically optimal systematic authentication codes. 相似文献
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David Kalaj 《Advances in Mathematics》2012,231(1):213-242
Let , be a solution of the Poisson equation , , in the unit disk. We prove and with sharp constants and , for , , and . In addition, for , with sharp constants and , we show and . We also give an extension to smooth Jordan domains.These problems are equivalent to determining a precise value of the norm of the Cauchy transform of Dirichlet’s problem. 相似文献
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We study the local discrepancy of a symmetrized version of the well-known van der Corput sequence and of modified two-dimensional Hammersley point sets in arbitrary base . We give upper bounds on the norm of the local discrepancy in Besov spaces of dominating mixed smoothness , which will also give us bounds on the -discrepancy. Our sequence and point sets will achieve the known optimal order for the - and -discrepancy. The results in this paper generalize several previous results on - and -discrepancy estimates and provide a sharp upper bound on the -discrepancy of one-dimensional sequences for . We will use the -adic Haar function system in the proofs. 相似文献
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《International Journal of Approximate Reasoning》2014,55(9):1843-1865
In this paper we present the proof-theoretical approach to p-adic valued conditional probabilistic logics. We introduce two such logics denoted by and . Each of these logics extends classical propositional logic with a list of binary (conditional probability) operators. Formulas are interpreted in Kripke-like models that are based on p-adic probability spaces. Axiomatic systems with infinitary rules of inference are given and proved to be sound and strongly complete. The decidability of the satisfiability problem for each logic is proved. 相似文献
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Grigoris Paouris Petros Valettas Joel Zinn 《Stochastic Processes and their Applications》2017,127(10):3187-3227
We study the dependence on in the critical dimension for which one can find random sections of the -ball which are -spherical. We give lower (and upper) estimates for for all eligible values and as , which agree with the sharp estimates for the extreme values and . Toward this end, we provide tight bounds for the Gaussian concentration of the -norm. 相似文献
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Stanislav Jabuka 《Topology and its Applications》2012,159(10-11):2694-2710
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Karen McCready 《Journal of Pure and Applied Algebra》2012,216(7):1646-1651
The -primary -periodic homotopy groups of a topological space , denoted by , are roughly the parts of the homotopy groups of localized at a prime which are detected by -theory. We will use combinatorial number theory to determine, for an odd prime, the values of for which As a corollary, we obtain new bounds for the -exponent of . 相似文献
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Zhigang Peng 《Applied Mathematics Letters》2009,22(11):1670-1673
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