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Which communication rates can be attained over an unknown channel where the relation between the input and output can be arbitrary? A channel where the output is any arbitrary (possibly stochastic) fu...
Given an edge ideal of graph G, we show that if the first nonlinear strand in the resolution of IG is zero until homological stage a1, then the next non-linear strand in the resolution is zero until h...
By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate periodicity notion on a large class of time scales whose...
氢脉泽是现代一种高精度的时间和频率标准,其在基础理论、导航和通信等领域具有重要作用。随着空间科学技术的发展,小型、易搬运、高性能氢原子钟的研制势在必行。介绍了一种主动型双真空氢原子钟的小型化设计,并将其与传统型氢原子钟设计进行了比较。
Koszul cycles      Koszul cycles        2010/12/1
We prove regularity bounds for Koszul cycles holding for every ideal of dimension ≤ 1 in a polynomial ring; see Theorem 3.5. In Theorem 4.7 we generalize the “c+1” lower bound for the Green-Lazarsfeld...
We employ infinite ergodic theory to show that the even Stern-Brocot sequence and the Farey sequence are uniformly distributed mod 1 with respect to certain canonical weightings. As a corollary we der...
This paper presents an approach to modeling progressive event-history data when the overall objective is prediction based on time-dependent covariates.This approach does not model the hazard function ...
The Goodwillie tower and the EHP sequence.
Assume the Riemann Hypothesis. For every ǫ > 0 we show that there is a constant C(ǫ) such that for all large x, the interval [x, x + C(ǫ)px] contains an integer all of whose prime facto...
We study the asymptotic behavior of the emptiness formation probability for large spin strings in a translation invariant quasifree nonequilibrium steady state of the isotropic XY chain. Besides the...
While modern optics is largely a physics of harmonic oscillators and two-by-two matrices, it is possible to learn about some hidden properties of the two-by-two matrix from optical systems.
This note is a survey and collection of results, as well as present-ing some original research. For Bessel sequences and frames, the analy-sis, synthesis and frame operators as well as the Gram matrix...
Understanding of normal and pathological brain function requires the identification and localization of functional connections between specialized regions. The availability of high time resolution sig...
This paper is aimed to investigate some computational aspects of different isoperi-metric problems on weighted trees. In this regard, we consider different connectivity pa-rameters called minimum norm...
We examine the composition of the L1 norm with weakly convergent sequences of gradient elds associated with the homogenization of second order divergence form partial di erential equations with mea...

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