共查询到20条相似文献,搜索用时 15 毫秒
1.
We study the Dirichlet series that are convergent only in a half-plane and whose sequence of exponents extends to a “regular” sequence. We establish some unimprovable estimates for the order of the sum of the Dirichlet series in a half-strip whose width depends on the special distribution density of the exponents. 相似文献
2.
利用完全3部图K1,5,n的交叉数的结果,继续对联图Sm∨Cn(m=5)的交叉数进行研究,得到了cr(S5∨Cn)=Z(6,n)+4「n2」+3. 相似文献
3.
We show that the left-greedy algorithm is a better algorithm than the right-greedy
algorithm for sorting permutations using t stacks in series when t > 1. We also supply a method
for constructing some permutations that can be sorted by t stacks in series and from this get a
lower bound on the number of permutations of length n that are sortable by t stacks in series.
Finally we show that the left-greedy algorithm is neither optimal nor defines a closed class of
permutations for t > 2.AMS Subject Classification: 05A05, 68R05, 68W01. 相似文献
4.
设幂零群G=KP=PK,其中P是有限秩的幂零p-群,K是G的有限秩的p-自由的正规子群,p不属于K的谱Sp(K).设1=ζ0Gζ1G···ζcG=G是G的上中心列,α和β是G的两个p-自同构,把α,β在每个ζiG/ζi-1G上的诱导自同构分别记为αi和βi,又记Ii:=Im(αiβi-βiαi),则(i)如果每个Ii都是有限循环群,并且I:=(αβ(g))(βα(g))-1|g∈G是G的有限子群,那么α和β生成一个有限p-群;(ii)如果Ii或为有限循环群,或为拟循环p-群,或为Zpn⊕Zp∞对某自然数n,那么α和β生成一个可解的剩余有限p-群,它是有限生成的无挠幂零群被有限p-群的扩张;(iii)如果Ii或为有限循环群,或为拟循环p-群,或为Zpn⊕Zp∞,或为无挠的局部幂零群,或Ii有正规列1JiIi,其商因子分别为有限循环群、无挠的局部幂零群,或Ii=Zp∞⊕Ji,Ji为无挠的局部幂零群,或Ii有正规列1KiJiIi,其商因子分别为有限循环群、拟循环p-群、无挠的局部循环群,那么α和β生成一个可解的剩余有限p-群,它的幂零长度至多是3.特别地,当K是一个FC-群时,在情形(iii),α和β生成的群也是有限生成的无挠幂零群被有限p-群的扩张.此外,如果G=KP里,K是一个FC-群,对G的下中心列考虑了类似的问题,得到了"对偶"的结果. 相似文献
5.
讨论了有限个超越整函数fi(i=1,2,…,m)迭代生成的函数g=fm°fm-1°…°f1(z)游荡域的性质,在某些条件下,对Brannan和Hayman提出的一个问题给出了肯定的回答.此外,给出了g(z)稳定域有界的一个条件. 相似文献
6.
A unitary right R-module MR satisfies acc on d-annihilators if for every sequence(a_n)_n of elements of R the ascending chain AnnM(a_1)■ AnnM(a_1 a_2)■AnnM(a_1 a_2 a_3)■… of submodules of MR stabilizes. In this paper we first investigate some triangular matrix extensions of modules with acc on d-annihilators. Then we show that under some additional conditions,the Ore extension module M[x]R[x;α,δ]over the Ore extension ring R[x;α,δ] satisfies acc on d-annihilators if and only if the module MR satisfies acc on d-annihilators. Consequently, several known results regarding modules with acc on d-annihilators are extended to a more general setting. 相似文献
7.
《数学季刊》2016,(2):111-117
Let D(G) = (dij )n×n denote the distance matrix of a connected graph G with order n, where dij is equal to the distance between vertices vi and vj in G. A graph is called distance integral if all eigenvalues of its distance matrix are integers. In 2014, Yang and Wang gave a su?cient and necessary condition for complete r-partite graphs Kp1,p2,··· ,pr =Ka1·p1,a2·p2,··· ,as···ps to be distance integral and obtained such distance integral graphs with s = 1, 2, 3, 4. However distance integral complete multipartite graphs Ka1·p1,a2·p2,··· ,as·ps with s>4 have not been found. In this paper, we find and construct some infinite classes of these distance integral graphs Ka1·p1,a2·p2,··· ,as·ps with s = 5, 6. The problem of the existence of such distance integral graphs Ka1·p1,a2·p2,··· ,as·ps with arbitrarily large number s remains open. 相似文献
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9.
Let n,m,k be positive integers and bm,k be the number of representations of n as n = ma0 + ma1 + ··· + maj with 0 ≤ a0 ≤ a1 ≤···≤ aj < k.In this note,we obtain some congruences and distribution properties of bm,k. 相似文献
10.
《中学生数学》2017,(20)
<正>In mathematics,you often encounter some difficult problem.When solving math problems,it is often helpful to have an organized problem-solving plan.Today we will talk about"A Plan for Problem Solving"When solving math problems,the four steps listed below can be used to solve any problem.1.Explore·Read the problem carefully.·What facts do you know?·What do you need to find out?·Is enough information given?·Is there extra information?2.Plan·How do the facts relate to each other?·Plan a strategy for solving the problem. 相似文献
11.
《数学季刊》2016,(4):369-378
In this paper, we investigate the growth of solutions of the differential equations f(k)+Ak?1(z)f(k?1)+· · ·+A0(z)f =0, where Aj(z)(j=0, · · · , k?1) are entire functions. When there exists some coe?cient As(z)(s ∈ {1, · · · , k?1}) being a nonzero solution of f00+P(z)f =0, where P(z) is a polynomial with degree n(≥1) and A0(z) satisfiesσ(A0)≤1/2 or its Taylor expansion is Fabry gap, we obtain that every nonzero solution of such equations is of infinite order. 相似文献
12.
Andreas Brandt 《Stochastic Processes and their Applications》1988,30(2):253-262
We study the dependence on initial conditions of two recursive filters for cleaning a contaminated time series from additive outliers. We show that the function in the recursive equation is in general not contractive, but nevertheless there exists a stationary solution and two iterates with arbitrary initial conditions coincide after some random time T0. However T0 may be quite large. 相似文献
13.
本文研究了由m个超越整函数函数f1,f2,···,fm生成的随机迭代系统的Fatou分支的有界性问题.利用复动力系统理论的方法,得到一个Fatou连通分支U分别作为游荡域和非游荡域有界的条件,推广了Zheng的结果,同时也是对Baker的问题在随机迭代系统情形的一个回答. 相似文献
14.
林玉波 《高校应用数学学报(A辑)》1995,(3):257-264
本文讨论了一类带轭且带平和多的变系数奇异积分方程组,在一些补充假定下,利用化为四元素边值问题的方法,得到了所求方程级数形式的解和积分形式的可解条件。 相似文献
15.
Youhua Qian & Shengmin Chen 《数学研究通讯:英文版》2009,25(2):97-103
Let Aut$_∗(X)$ denote the group of homotopy classes of self-homotopy
equivalences of $X$, which induce identity automorphisms of homology group. We
describe a decomposition of Aut$_∗(X_1∨· · ·∨X_n)$ as a product of its simpler subgroups.
We consider the subgroup Aut$_Σ(X)$ of all self homotopy classes α of $X$ such that $Σα = 1_{ΣX} : ΣX → ΣX$, and also give some properties of Aut$_Σ(X)$. 相似文献
16.
我们给出关于黎曼流形上的扩散方程θtu=Δu-▽φ·▽u(这里φ是一个C^2函数)的一些梯度估计。这推广了R.Hamilton和Qi S.Zhang关于热方程的一些梯度估计。 相似文献
17.
Let f be a holomorphic function on the unit polydisc Dn,with Taylor expansion f(z) = ∞ |k|=0 akzk ≡∞ (k1+···+kn=0) (ak1,···,kn zk1 1znkn)where k = (k1, , kn) ∈ Z+n. The authors define generalized Hilbert operator on Dn by Hγ,n(f)(z) = ∞ |k|=0 i1,···,in≥0 ai1,···,in n j=1 Γ(γj + kj + 1)Γ(kj + ij + 1) Γ(kj + 1)Γ(kj + ij + γj + 2) zk,where γ∈ Cn, such that R γj > -1, j = 1, 2, , n. An upper bound for the norm of the operator on Hardy spaces Hp(Dn) is found. The authors also present a Fejér-Riesz type inequalit... 相似文献
18.
19.
In this paper,we obtain the strong converse inequality for Szász operators with K-functional by introducing a new K-functional of the form Kαλ(f,t2) = infg∈C2λ{‖f-g‖0 t2‖g‖2}(0≤λ≤1,0<α<2),where ‖·‖0,‖·‖2,C2λ are defined in the paper.As for its applications,we have extended some results before this paper. 相似文献
20.
The aim of this note is to introduce another way of defining the almost sure uniform convergence, which is necessary when studying some mathematical results on the existence of price bubbles in certain scenarios of trading securities. This mode of convergence of random variables' sequences is intermediate between the uniform and the almost sure ones, and, more specifically, between the uniform and the complete convergences. In this way, this paper presents some mathematical characterizations of both almost sure uniform and complete convergences, and shows that the almost sure uniform convergence is a particular case of complete convergence, when the number of summands in the series defining this mode of convergence is finite. Finally, this paper presents the relation of almost surely uniform convergence with convergence in mean when the random variable limit is integrable. Moreover, almost surely convergence and local boundedness of the sequence of random variables minus its limit are sufficient to derive convergence in mean. 相似文献