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41.
Let {Xni, 1 ≤ n,i <∞} be an array of rowwise NA random variables and {an, n ≥ 1} a sequence of constants with 0 < an ↑∞. The limiting behavior of maximum partial sums 1/an max 1≤k≤n| kΣi=1 Xni| is investigated and some new results are obtained. The results extend and improve the corresponding theorems of rowwise independent random variable arrays by Hu and Taylor [1] and Hu and Chang [2]. 相似文献
42.
王登银 《数学物理学报(B辑英文版)》2007,27(2):317-328
All parabolic subgroups and Borel subgroups of PΩ(2m 1, F) over a linear-able field F of characteristic 0 are shown to be complete groups, provided m > 3. 相似文献
43.
Z. G. Khisamiev 《Algebra and Logic》2007,46(1):50-61
We study into a semilattice of numberings generated by a given fixed numbering via operations of completion and taking least
upper bounds. It is proved that, except for the trivial cases, this semilattice is an infinite distributive lattice every
principal ideal in which is finite. The least upper and the greatest lower bounds in the semilattice are invariant under extensions
in the semilattice of all numberings. Isomorphism types for the semilattices in question are in one-to-one correspondence
with pairs of cardinals the first component of which is equal to the cardinality of a set of non-special elements, and the
second — to the cardinality of a set of special elements, of the initial numbering.
Supported by INTAS grant No. 00-429.
__________
Translated from Algebra i Logika, Vol. 46, No. 1, pp. 83–102, January–February, 2007. 相似文献
44.
Complete and phase synchronization in a heterogeneous small-world neuronal network 总被引:1,自引:0,他引:1 下载免费PDF全文
Synchronous firing of neurons is thought to be important for
information communication in neuronal networks. This paper
investigates the complete and phase synchronization in a
heterogeneous small-world chaotic Hindmarsh--Rose neuronal network.
The effects of various network parameters on synchronization
behaviour are discussed with some biological explanations. Complete
synchronization of small-world neuronal networks is studied
theoretically by the master stability function method. It is shown
that the coupling strength necessary for complete or phase
synchronization decreases with the neuron number, the node degree
and the connection density are increased. The effect of
heterogeneity of neuronal networks is also considered and it is
found that the network heterogeneity has an adverse effect on
synchrony. 相似文献
45.
本文研究完全三部图K(m,n,r)的色唯一性问题,通过比较两个色等价图的色划分数的方法,得出两个关于K(m,n,r)为色唯一图的一般形式数值条件,基本上解决了K(m,n,r)为色唯一图的判定问题. 相似文献
46.
47.
DU Beiliang WANG Jian Department of Mathematics Suzhou University Suzhou China Nantong Vocational College Nantong China 《中国科学A辑(英文版)》2004,47(3)
Let K_(m,n) be a complete bipartite graph with two partite sets having m and nvertices, respectively. A K_(p,q)-factorization of K_(m,n) is a set of edge-disjoint K_(p,q)-factorsof K_(m,n) which partition the set of edges of K_(m,n). When p=i and q is a prime number,Wang, in his paper "On K_(1,k)-factorizations of a complete bipartite graph" (Discrete Math,1994, 126; 359-364), investigated the K_(1,q)-factorization of K_(m,n) and gave a sufficientcondition for such a factorization to exist. In the paper "K_(1,k)-factorizations of completebipartite graphs" (Discrete Math, 2002, 259: 301-306), Du and Wang extended Wang'sresult to the case that q is any positive integer In this paper, we give a sufficient conditionfor K_(m,n) to have a K_(p,q)-factorization. As a special case, it is shown that the Martin's BACconjecture is true when p: q=k: (k+1) for any positive integer k. 相似文献
48.
设Q为有理数域,令φ为由奇素数p生成的有理数域Q的p-adic赋值,R为与其相对应的赋值环,(p)为R的极大理想(素理想).本文用扩张平移的方法讨论了lm)(μ∈R)中的分解问题,并完全解决了该问题.素理想(p)在Q的lm次根扩张Q(μ1 相似文献
49.
50.
Let K
m,nbe a complete bipartite graph with two partite sets having m and n vertices, respectively. A K
p,q-factorization of K
m,n is a set of edge-disjoint K
p,q-factors of K
m,n which partition the set of edges of K
m,n. When p = 1 and q is a prime number, Wang, in his paper “On K
1,k
-factorizations of a complete bipartite graph” (Discrete Math, 1994, 126: 359—364), investigated the K
1,q
-factorization of K
m,nand gave a sufficient condition for such a factorization to exist. In the paper “K
1,k
-factorizations of complete bipartite graphs” (Discrete Math, 2002, 259: 301—306), Du and Wang extended Wang’s result to the
case that q is any positive integer. In this paper, we give a sufficient condition for K
m,n to have a K
p,q-factorization. As a special case, it is shown that the Martin’s BAC conjecture is true when p : q = k : (k+ 1) for any positive integer k. 相似文献