Proposal of an Einstein-Podolsky-Rosen experiment with molecules

Suppose that a pair of entities which have been generated jointly from a common source are separated by an experimental device so that they cannot interact any more. Then, strictly formulating within the framework of traditional quantum mechanics, the ensemble of all pairs may be represented by either a separable or a non-separable statistical operator. The former stands for the independence of the sub-ensembles whereas the latter admits correlations (EPR correlations) due to the presence of interference or cross terms. The second-order correlation function Δ, which is also amenable by experiment, adopts different values depending on the choice of the statistical operator. So, by performing an experiment of this kind with molecules, the question could be decided whether EPR correlations appear in the molecular domain too. A detailed elaboration of the following idea is presented: let an achiral precursor molecule M₂ dissociate so that two chiral fragments of different handedness are obtained. After separation R-M (L-M) interacts in a region of space A (B) with a photon I (II) in an already known linear polarization state. The enantiomeric correlation between the fragments is thereby conferred to the photons, and the corresponding changes of the polarization state are detected for different polarizer settings to finally yield Δ. Received 10 May 2000 and Received in final form 25 August 2000     

浅谈水泥稳定碎石的施工质量控制

文章从组成设计和施工控制两个方面,对如何控制水泥稳定碎石的施工质量问题进行了论述.     

Discrete stochastic location models

In this paper, we study how the two classical location models, the simple plant location problem and thep-median problem, are transformed in a two-stage stochastic program with recourse when uncertainty on demands, variable production and transportation costs, and selling prices is introduced. We also discuss the relation between the stochastic version of the SPLP and the stochastic version of thep-median.     

夹层圆板的加权残值法

本文以贝塞尔函数作为试函数和权函数,采用加权残值法,求解了夹层园板的轴对称弯曲及夹层圆板的稳定问题。计称结果表明,其结果是令人满意的。     

带缓冲器的巴黎地铁定价策略

本在巴黎地铁定价(PMP(Paris Metro Pricing))的基础上研究了一种带有缓冲器的巴黎地铁定价策略。同样将网络分成几个逻辑上独立的不同部分，每一个部分制定不同的价格，各部分仅在价格上有区别。但是额外增加一个适合“中性消费”需求的缓冲器，使得“中性消费”可以先向缓冲器提交服务请求，而后由ISP网络提供商根据各部分的实际负载状况将其分配到合适的服务节点。最后通过仿真说明与巴黎地铁相比，带有缓冲器的巴黎地铁定价策略在网络拥塞控制与网络资源分配等方面有更高的效率。     

在预报更新的环境下具有两种配送方式的供应链模型

本文研究在预报更新环境下具有快、慢两种配送方式和需求预报更新的库存系统，为了得到更多关于费用参数和预报改进对最优定货量以及最优的平均费用的影响，我们考虑两个周期的情形．以动态规划为工具我们得到了系统的最优策略．对于需求预报服从均匀分布情形，本文得到了最优定货量和最优的平均总费用的精确表达式．我们通过一些数值例子来说明库存费用、罚金、需求的预报改进和预报误差对最优定货量和最优的     

Generalizing Mutational Equations for Uniqueness of Some Nonlocal 1st-Order Geometric Evolutions

The mutational equations of Aubin extend ordinary differential equations to metric spaces (with compact balls). In first-order geometric evolutions, however, the topological boundary need not be continuous in the sense of Painlevé–Kuratowski. So this paper suggests a generalization of Aubin’s mutational equations that extends classical notions of dynamical systems and functional analysis beyond the traditional border of vector spaces: Distribution-like solutions are introduced in a set just supplied with a countable family of (possibly non-symmetric) distance functions. Moreover their existence is proved by means of Euler approximations and a form of “weak” sequential compactness (although no continuous linear forms are available beyond topological vector spaces). This general framework is applied to a first-order geometric example, i.e. compact subsets of ℝ ^N evolving according to the nonlocal properties of both the current set and its proximal normal cones. Here neither regularity assumptions about the boundaries nor the inclusion principle are required. In particular, we specify sufficient conditions for the uniqueness of these solutions.      

一种新的两道工序柔性流水车间排序问题

本文针对F_2(p),h11.1|m_1=1,m_2=μ≥2|C_(max)这一问题给出了几种近似算法,并对每种近似算法进行了最坏情形分析,给出了最坏情形界.     

STABILITY OF DELAY DIFFERENTIAL SYSTEMS BY SEVERAL LIAPUNOV FUNCTIONS

1 IntroductionConsider the functional differential equations (FDE's) with finite delay ofthe form:where x,(0) = x(t 0) for --r 5 0 5 0 with some r 2 0 and f: [T, co] x C RI with C = C([--r, 0], R') the space of continuous functions mapping [--r, 0]into l-dimensional real space RI. For any yi E C we define the norm of yi as:where l' I is any norm in RI.Inspired by the ideas in [l--3], we develop a new technique in this work tostudy the stability of FDE's, where the components xl) xZt…     

Fundamental groups of manifolds with <Emphasis Type="Italic">S</Emphasis><Superscript>1</Superscript>-category 2

A closed topological n-manifold M ⁿ is of S ¹-category 2 if it can be covered by two open subsets W ₁,W ₂ such that the inclusions W _i → M ⁿ factor homotopically through maps W _i → S ¹ → M ⁿ . We show that the fundamental group of such an n-manifold is a cyclic group or a free product of two cyclic groups with nontrivial amalgamation. In particular, if n = 3, the fundamental group is cyclic.