共查询到20条相似文献,搜索用时 45 毫秒
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围绕重要极限公式的证明、运用、数e、重要性等四个环节,探索并思考了教师在教学中如何组织安排教学内容 相似文献
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围绕重要极限公式的证明、运用、数e、重要性等四个环节,探索并思考了教师在教学中如何组织安排教学内容。 相似文献
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证明了一类递推数列xn 1=(xn b)/(xn c)(ac≠b,n=1,2,……)的收敛性,并给出这类数列的一些性质.本文所得结果推广和包含了文[1]的相应结果. 相似文献
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证明了{n(16n^2+4n+3)/16n^2-4~n+3^(1/2) integral from 0 to π/2 sin^nxdx}为严格单调增加数列,且极限为π/2^(1/2),因而得π(16n^2+36n+23)/2(n+1)(16n^2+28n+15)^(1/2)相似文献
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由于危险品在运输过程中存在极大的危害性,为了降低危险品运输风险,政府可以通过对不同路段设置不同的限速区间来引导危险品运输车辆的路径选择,从而导致不同的运输网络总风险和鲁棒成本。首先基于车辆限速区间的方法,构建了危险品运输网络优化的双层规划模型,上层规划以最大运输网络总风险值最小化为目标,下层规划以危险品运输企业的鲁棒成本最小化为目标;然后,设计了粒子群优化算法求解了该模型;最后,通过两个算例验证了模型和算法的有效性。计算结果表明政府部门运用车辆限速区间的方法不仅能够非常有效地降低危险品运输网络总风险,而且更具有鲁棒性和现实可操作性。 相似文献
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Hsien-Kuei Hwang 《Random Structures and Algorithms》1996,8(4):319-336
Central and local limit theorems (including large deviations) are established for the number of comparisons used by the standard top-down recursive mergesort under the uniform permutation model. The method of proof utilizes Dirichlet series, Mellin transforms, and standard analytic methods in probability theory. © 1996 John Wiley & Sons, Inc. 相似文献
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Summary. This paper provides a rigorous proof of the quasi-neutral limit for the Euler-Poisson system on a bounded domain in one space
dimension. The most general case is being considered when the plasma is sustained by ionization. A wide range of plasmas,
from collisionless to highly collisional, is permitted. At the plasma center, the ions are assumed to be at rest, and essentially
quasi-neutral initial data are prescribed. The theorem asserts that the quasi-neutral limit is obtained until the ion velocity
reaches the ion-sound speed. In addition, formal matched asymptotic expansions are given which describe the solution in its
passage from the plasma center to the wall.
Received June 8, 2000; accepted February 10, 2001 Online publication April 20, 2001 相似文献
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Ya. M. L'vovskii 《Journal of Mathematical Sciences》1996,81(4):2843-2850
Distributions are found of independent nonnegative integer valued random variables under linear constraints. Limit theorems
for these distributions are proved.
Translated fromStatisticheskie Metody Otsenivaniya i Proverki Gipolez, pp. 136–148, Perm, 1993. 相似文献
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V. I. Rotar' 《Journal of multivariate analysis》1979,9(4):511-530
The limit theorems for polylinear forms are obtained. Conditions are found under which the distribution of the polylinear form of many random variables is essentially the same as if all the distributions of arguments were normal. 相似文献
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David Pollard 《Probability Theory and Related Fields》1981,57(2):181-195
Summary The empirical measure P
n
for iid sampling on a distribution P is formed by placing mass n
–1 at each of the first n observations. Generalizations of the classical Glivenko-Cantelli theorem for empirical measures have been proved by Vapnik and ervonenkis using combinatorial methods. They found simple conditions on a class C to ensure that sup {|P
n
(C) – P(C)|: C C} converges in probability to zero. They used a randomization device that reduced the problem to finding exponential bounds on the tails of a hypergeometric distribution. In this paper an alternative randomization is proposed. The role of the hypergeometric distribution is thereby taken over by the binomial distribution, for which the elementary Bernstein inequalities provide exponential boundson the tails. This leads to easier proofs of both the basic results of Vapnik-ervonenkis and the extensions due to Steele. A similar simplification is made in the proof of Dudley's central limit theorem forn
1/2(P P
n
–P)— a result that generalizes Donsker's functional central limit theorem for empirical distribution functions.This research was supported in part by the Air Force Office of Scientific Research, Contract No. F49620-79-C-0164 相似文献
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Douglas P. Kennedy 《Stochastic Processes and their Applications》1973,1(3):269-278
Limit distributions are given for both the dam content at time n and the limiting dam content in the nth dam, as n tends to infinity, for a sequence of finite dams in discrete time, under assumptions which correspond to the various cases of heavy traffic in queueing theory. The proof employed is an application of the theory of weak convergence of probability measures. 相似文献
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We study the relaxation limit for the Aw-Rascle system of traffic flow. For this we apply the theory of invariant regions and the compensated compactness method to get global existence of Cauchy problem for a particular Aw-Rascle system with source, where the source is the relaxation term, and we show the convergence of this solutions to the equilibrium state. 相似文献