共查询到20条相似文献,搜索用时 15 毫秒
1.
B.Delyon J.Yao 《应用数学学报(英文版)》2006,22(2):297-312
We consider the empirical spectral distribution (ESD) of a random matrix from the Gaussian Unitary Ensemble. Based on the Plancherel-Rotaeh approximation formula for Hermite polynomials, we prove that the expected empirical spectral distribution converges at the rate of O(n^-1) to the Wigner distribution function uniformly on every compact intervals [u,v] within the limiting support (-1, 1). Furthermore, the variance of the ESD for such an interval is proved to be (πn)^-2 logn asymptotically which surprisingly enough, does not depend on the details (e.g. length or location) of the interval, This property allows us to determine completely the covariance function between the values of the ESD on two intervals. 相似文献
2.
Bi Cheng YANG 《数学学报(英文版)》2007,23(7):1311-1316
In this paper, the expression of the norm of a self-adjoint integral operator T : L^2(0, ∞) → L^2 (0, ∞) is obtained. As applications, a new bilinear integral inequality with a best constant factor is established and some particular cases are considered. 相似文献
3.
TheconceptofthefuzzysubgroupsintroducedinRosenfeld[l],wasappliedtogeneralizesomeofthebasicconceptsofalgebra.In[2,3,4]LuWangjindefinedfuzzysubringsandfuzzyideals,introducedtheoperationsonfuzzyidea1s.In[5]theautherdiscussedaboutthenatureoffuzzysubringsbythenestedsubring.Butthepointwisedefinitionsoffuzzysubgroupsandfuzzysubringsarerare.Inthispaper,theautherprogramsanddiscussesthefuzzysubrings,fuzzyidealsandfuzzyprimeidealsbyfuzzyPoints..5l.PreliminariesLetusrecallsomeconceptsoccurrjnginthe[2,3… 相似文献
4.
Han Shian 《东北数学》1998,(3)
OntheIntegralExtensionofLaticesHanShian(韩士安)(DepartmentofMathematics,EastChinaNormalUniversity,Shanghai,200062)AbstractInthis... 相似文献
5.
In this note we consider an alternative approach to compute the distribution of the sum of independent exponential random
variables. In particular, by considering the logarithmic relation between exponential and beta distribution functions and
by considering the Wilks’ integral representation for the product of independent beta random variables, we provide a closed-form
expression for the distribution of the sum of independent exponential random variables. The expression we obtain is simpler
than the ones previously obtained in the literature. 相似文献
6.
In this paper, we mainly study zeros and poles of the forward differences Δnf(z), where f(z) is a finite order meromorphic function with two Borel exceptional values. 相似文献
7.
Algebras and Representation Theory - The Hecke-Kiselman algebra of a finite oriented graph Θ over a field K is studied. If Θ is an oriented cycle, it is shown that the algebra is... 相似文献
8.
On the Distribution of Weakly Composite Numbers 总被引:1,自引:0,他引:1
OntheDistributionofWeaklyCompositeNumbers王天泽,李国强OntheDistributionofWeaklyCompositeNumbers¥WangTianze;LiGuoqiang(DepartmentofM... 相似文献
9.
Ping SUN 《数学学报(英文版)》2005,21(6):1435-1442
Let Vk=u1u2……uk, ui's be i.i.d - U(0, 1), the p.d.f of 1 - Vk+l be the GF of the unsigned Stirling numbers of the first kind s(n, k). This paper discusses the applications of uniform distribution to combinatorial analysis and Riemann zeta function; several identities of Stifling series are established, and the Euler's result for ∑ Hn/n^k-l, k ≥ 3 is given a new probabilistic proof. 相似文献
10.
Daniel FRANCO Gennaro INFANTE Donal O'REGAN 《数学学报(英文版)》2006,22(6):1745-1750
We establish new criteria for the existence of either positive or nonzero solutions of the Urysohn integral equation. We also discuss the existence of an interval of positive eigenvalues and sufficient conditions for the existence of at least a positive eigenvalue with a nonzero or positive eigenfunction for the Urysohn integral operator. Among others, we employ techniques based on fixed point index theory for compact maps, which are new for this type of equation. 相似文献
11.
We compute the action of the modular Iwahori–Hecke algebra on the ring of invariants of the mod p cohomology of elementary p-groups under Borel subgroup of the general linear group. Applications include a direct proof of the structure of the universal Steenrod algebra and a new proof of a key result on the structure of the Takayasu modules. 相似文献
12.
丁春华 《数学年刊B辑(英文版)》1983,(1)
In this paper we prove the following theorem.It is a generalization of Tenchel's theorem on theintegral curvature of curve.Theorem.If 1 is the length of a curve C=AB and φ is the angle between the tangent vectors ofC at A,B,then the integral curvature of C 相似文献
13.
In this paper, by introducing three parameters a, b and λ, we give some new generalizations of Hardy-Hilbert‘s integral inequality. As applications, we con-sider its equivalent form and some particular results. 相似文献
14.
Mario Götz 《Journal of Computational Analysis and Applications》2001,3(3):223-241
Based on the concept of Leja-Górski points, discrete approximations to the equilibrium distribution of a smooth surface or a quasiconformal curve or arc are constructed. Estimates for the order of approximation in terms of discrepancy are given and numerical computations are performed in the case of the unit sphere. 相似文献
15.
YoungHoKIM 《数学学报(英文版)》2005,21(2):423-434
In this paper, we consider a bound on a general version of the integral inequalities for functions and also study the qualitative behavior of the solutions of certain classes of the hyperbolic partial delay differential equations under the integral inequalities. 相似文献
16.
Mathematical Notes - The problem of the factorization of the Wiener–Hopf integral operator in the form of the product of the upper and lower Volterra operators is considered. Conditions for... 相似文献
17.
First of all, in this paper, we prove the convergence of the nabla h-sum to the Riemann–Liouville integral in the space of continuous functions and in some weighted spaces of continuous functions. The connection with time scales convergence is discussed. Second, the efficiency of this approximation is shown through some Cauchy fractional problems with singularity at the initial value. The fractional Brusselator system is solved as a practical case. 相似文献
18.
《Finite Fields and Their Applications》2001,7(2):318-326
We show that the new pseudo-random number function, introduced recently by M. Naor and O. Reingold, possesses one more attractive and useful property. Namely, it is proved that for almost all values of parameters it produces a uniformly distributed sequence. The proof is based on some recent bounds of character sums with exponential functions. 相似文献
19.
Doklady Mathematics - We establish two-sided estimates for the proximity, as $$t to infty $$ , of the Poisson integral representing the solution of the Cauchy problem for the heat equation to... 相似文献