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Universal Communication over Modulo-additive Channels with an Individual Noise Sequence
Universal Communication Modulo-additive Channels Individual Noise Sequence
2011/1/21
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...
A new periodicity concept for time scales
Periodic time scale periodic function shift operator
2011/1/20
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...
双真空主动型氢脉泽的设计
主动型氢脉泽 小型化 双真空
2013/4/9
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...
A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence
Uniform distribution (mod 1), Stern-Brocot sequence, Farey sequence,
2010/12/3
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...
Predicting Sequences of Progressive Events Times with Time-dependent Covariates
Sequences Progressive Events Times Time-dependent Covariates
2010/12/15
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...
A remark on the subleading order in the asymptotics of the nonequilibrium emptiness formation probability
Nonequilibrium steady state emptiness formation probability Toeplitz theory
2010/12/1
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.
Classification of General Sequences by Frame-Related Operators
analysis operator synthesis operator frame op-erator Gram matrix Bessel sequence
2010/12/1
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...
Dynamic interactions in terms of senders, hubs, and receivers (SHR) using the singular value decomposition of time series: Theory and brain connectivity applications
Dynamic interactions senders hubs receivers singular value decomposition of time series: Theory and brain connectivity applications
2010/12/15
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...
On Complexity of Isoperimetric Problems on Trees
isoperimetric number Cheeger constant normalized cut graph partitioning
2010/12/15
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...
Representation formulas for $L^\infty$ norms of weakly convergent sequences of gradient fields in homogenization
L1 norms Nonlinear composition Weak limits Material design Homogenization
2010/12/10
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 dierential
equations with mea...