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1.
本文结果是:设A是φ-满射环R上的非拟纯量可逆n×n矩阵,βj,γj(尔≤j≤n)是R中任意元素,它们满足Πnj=1βjγj=detA,则存在n阶阵B和C满足PAP-1=BC,其中B是下三角阵,C是上三角阵,P∈GLn(R).进一步,可以取B使βj(1≤j≤n)位于B的主对角线上,同时可以取C使γj(1≤j≤n)位于C的主对角线上.  相似文献   

2.
令f(n)为恰有n个顶点,任意两个循环长度都不相等的图的最多边数.1975年,Erdos提出确定f(n)的问题(见[1]P274,Problem11).1986年,Y.Shi证明了对任意自然数n≥3,有f(n)≥n+8n-23+1/2[],且当3≤n≤17时,等号成立.进而猜想:对于任何自然数n≥3,上述等式都成立.本文对该猜想给出一个反例.  相似文献   

3.
本文结果是:设A是φ-满射环R上的非拟纯量可逆n×n矩阵,βj,γj(1≤j≤n)是R中任意元素,它们满足Πj=1jγj=detA,则存在n阶阵B和C满足PAP-1=BC,其中B是下三角阵,C是上三角阵,P∈GL(R).进一步,可以取B使βj(1≤j≤n)位于B的主对角线上,同时可以取C使γj(1≤j≤n)位于C的主对角线上.  相似文献   

4.
本文研究加权Bergman空间Lpa(Ωn,dμα)上的对角映射D,其中Ω是Cm中秩为r,亏格为N的有界对称域.对Ωn上任何全纯函数F,证明了F∈Lpa(Ωn,dμα)当且仅当DF∈Lpα(Ω,dλ|α|+(n-1)N)对于0<P≤1和任意的权指标α>-1成立,或者对于1<p<∞和足够大的权指标α(与域Ω的秩有关)成立.  相似文献   

5.
设x1,x2,…xn(连续未知),Fn为经验分布函数,Hn(x)为随机加权经验分布函数,。xn1≤xn2≤…≤xnn为次序统计量.记以Fn取代σ2(J,F)中的F即得σ2(J,Fn).  相似文献   

6.
关于斐波那契三角形猜想的二个结论江明(江苏省溧阳职业高级中学)陈计先生在文[1]中介绍了斐波那契(Fibonacci)三角形的猜想和部分结论:猜想当1≤k<n时,不存在以(Fn-k,Fn,Fn)为边长的Fibonacci三角形.并指出有人已证明了:当...  相似文献   

7.
关于P.n.P矩阵的谱性质的一点注记朱怀虹,富强,马邃(哈尔滨机电专科学校)(哈尔滨金融专科学校)(哈尔滨电机厂职工大学)1引言设A∈R(n×n),若A的每一个K阶主子式是非正的.1≤k≤n,则方A为一偏非正矩阵,简称P.n.P矩阵。特别地,若一P....  相似文献   

8.
星形函数族的一个子族的极值点与支撑点   总被引:1,自引:0,他引:1  
彭志刚  杨爱芳 《数学杂志》1998,18(4):450-454
设F({n})={f(z):f(z)在|z|<1内解析,f(z)=z-∞n=1anzn,an≥0,+∞n=2nan≤1},则F({n})是星形函数族的一个子族.许多学者研究了这个函数族.设M={f(z):f(z)在|z|<1内解析,f(z)=z-∞n=1anzn,an≥an+1≥0,+∞n=2nan≤1}.在本文中我们找出了函数族M的极值点与支撑点.  相似文献   

9.
关于任意K(K≥5)个连续Fibonacci数的猜想   总被引:7,自引:2,他引:5  
关于任意K(K≥5)个连续Fibonacci数的猜想刘元宗(河南洛阳师专471022)文[1]指出,1991年美国Mr.A.DiDomenico教授利用数学归纳法证明了五个连续Fibonacci数的几个公式,即(1)FnFn+4-Fn+1Fn+3=2...  相似文献   

10.
关于Fibonacci三角形的又一结果许康华(浙江省富阳中学311400)陈计先生在文[1]中介绍了如下猜想:当1≤k<n时,不存在以(Fn-k,Fn,Fn)为边长的Fibonacci三角形.文[2]指出,要证明这个猜想,只需证明不存在以(F3m,F...  相似文献   

11.
12.
We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.  相似文献   

13.
张丽娜  吴建华 《数学进展》2008,37(1):115-117
One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the'living world. In his seminal paper "The Chemical Basis of Morphogenesis", Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates(1990) on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing's prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows  相似文献   

14.
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.  相似文献   

15.
It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.  相似文献   

16.
In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).  相似文献   

17.
18.
正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with  相似文献   

19.
正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.  相似文献   

20.
A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].  相似文献   

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