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On common values of $\phi(n)$ and $\sigma(m)$, II
Euler’s function sum of divisors function totients
2011/1/17
For each positive-integer valued arithmetic function f, let Vf ⊂ N denote the image of f, and put Vf (x) := Vf ∩ [1, x] and Vf (x) := #Vf (x). Recently Ford, Luca, and Pomerance showed that V ∩...
Uncoverings on graphs and network reliability
uncovering spanning tree network reliability
2011/1/21
We propose a network protocol similar to the k-tree protocol of Itai and Rodeh [Inform. and Comput. 79 (1988), 43–59]. To do this, we define an uncovering-bybases for a connected graph G to be a colle...
Properties of Conditional Expectation Operators and Sufficient Subfields
Conditional Expectation Sufficient Subfields
2010/11/24
We discuss some properties of conditional expectation operators, and use these facts to prove an interesting counterexample regarding sufficient statistics. In particular, we show that there exists su...
Central matricvariate and matrix multivariate T distributions
Central matricvariate matrix multivariate T distributions
2010/11/24
Several distributions are studied, simultaneously in the real, complex, quaternion and octonion cases. Specifically, these are the central, nonsingular matricvariate and matrix multivariate T and bet...
We present asymptotic and finite-sample results on the use of single-membership stochastic blockmodels for the analysis of network data. We show that the fraction of misclassified network nodes conver...
Secure Communication over Parallel Relay Channel
Secure Communication Parallel Relay Channel
2010/11/15
We investigate the problem of secure communication over the parallel relay channel in the presence of a passive eavesdropper. We consider a four terminal relay-eavesdropper channel which consists of m...
大学生就业意向与专业相关性探讨——基于两所高校的问卷调查
大学生 就业意向 专业 问卷调查
2012/4/16
利用NS和SW两所高校1890名大学生就业意向的调查数据,分别从年级、专业、性别、生源地、院校等视角,就大学生对毕业后可能从事的工作与所学专业关系的意向进行统计分析,然后借助χ2分布拟合模型进行统计显著性检验,结果显示,在专业、专业与性别、学校与生源地等方面,大学生对所学专业与毕业后可能从事工作关系的认识存在差异。政府和高校应积极应对这种差异。
Denote by r(n) the length of a shortest integer sequence on a circle containing all permutations of the set {1, 2, ..., n} as subsequences. Hansraj Gupta conjectured in 1981
that r(n) 6 n2 2 . In thi...
In this paper, we provide a new characterization of uniformly recurrent words with finite defect based on a relation between the palindromic and factor complexity. Furthermore,
we introduce a class o...
Katie R. Banks, Anant P. Godbole, Nicholas George Triantafillou
Katie R. Banks Anant P. Godbole Nicholas George Triantafillou
2010/12/10
An omnimosaic O(n, k, a) is defined to be an n × n matrix, with entries from the set A = {1, 2, . . . , a}, that contains, as a submatrix,each of the ak2 k × k matrices over A.
We study the model theory of covers of groups definable in o-minimal structures. This includes the case of covers of compact real Lie groups. In particular we study categoricity questions, pointing ou...
Transmission Strategies in Multiple Access Fading Channels with Statistical QoS Constraints
Transmission Strategies Multiple Access Fading Channels Statistical QoS Constraints
2010/12/8
Effective capacity, which provides the maximum constant arrival rate that a given service process can support while satisfying statistical delay constraints, is analyzed in a multiuser scenario. In pa...
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots II
Genus two Heegaard splittings exteriors 1-genus 1-bridge knots II
2010/12/3
A knot K is called a 1-genus 1-bridge knot in a 3-manifold M if (M,K) has a Heegaard splitting (V1, t1) ∪ (V2, t2) where Vi is a solid torus and ti is a boundary parallel arc properly embedded in Vi. ...
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots
two Heegaard splittings exteriors 1-genus 1-bridge knots
2010/12/3
A knot K in a closed connected orientable 3-manifold M is called a 1-genus 1-bridge knot if (M,K) has a splitting into two pairs of a solid torus Vi (i = 1, 2) and a boundary parallel arc in it. The s...
Using the construction of a nonorientable Curtis-Tits group of type A˜n, we obtain new explicit families of expander graphs of valency five for unitary groups over finite fields.