Algorithms for finding connected separators between antipodal points

A set (or a collection of sets) contained in the Euclidean space Rm is symmetric if it is invariant under the antipodal map. Given a symmetric unicoherent polyhedron X (like an n-dimensional cube or a sphere) and an odd real function f defined on vertices of a certain symmetric triangulation of X, we algorithmically construct a connected symmetric separator of X by choosing a subcollection of the triangulation. Each element of the subcollection contains the vertices v and u such that f(v)f(u)?0.     

社会个性与内在自我的平衡——《达罗卫夫人》和《到灯塔去》人物的生存状态

在《达罗卫夫人》和《到灯塔去》两部小说中,伍尔夫探讨了现代人有效的生存状态,与他人的社会交往的同时,主要人物都不忘回归自我,任意识随意流淌,展现完全真实的内在自我,在自我宣泄和与他人交流中达到平衡的生存状态。     

Commutators, C0-semigroups and resolvent estimates

We study the existence and the continuity properties of the boundary values on the real axis of the resolvent of a self-adjoint operator H in the framework of the conjugate operator method initiated by Mourre. We allow the conjugate operator A to be the generator of a C₀-semigroup (finer estimates require A to be maximal symmetric) and we consider situations where the first commutator [H,iA] is not comparable to H. The applications include the spectral theory of zero mass quantum field models.     

Memory and a priori best strategy in complex adaptive systems

We employ an agent‐based model to show that memory and the absence of an a priori best strategy are sufficient for self‐segregation and clustering to emerge in a complex adaptive system with discrete agents that do not compete over a limited resource nor contend in a winner‐take‐all scenario. An agent starts from a corner of a two‐dimensional lattice and aims to reach a randomly selected site in the opposite side within the shortest possible time. The agent is isolated during the course of its journey and does not interact with other agents. Time‐bound obstacles appear at random lattice locations and the agent must decide whether to challenge or evade any obstacle blocking its path. The agent is capable of adapting a strategy in dealing with an obstacle. We analyze the dependence of strategy‐retention time with strategy for both memory‐based and memory‐less agents. We derive the equality spectrum to establish the environmental conditions that favor the existence of an a priori best strategy. We found that memory‐less agents do not polarize into two opposite strategy‐retention time distributions nor cluster toward a center distribution. © 2004 Wiley Periodicals, Inc. Complexity 9: 41–46, 2004     

Bilevel programming approach applied to the flow shop scheduling problem under fuzziness

This paper presents a fuzzy bilevel programming approach to solve the flow shop scheduling problem. The problem considered here differs from the standard form in that operators are assigned to the machines and imposing a hierarchy of two decision makers with fuzzy processing times. The shop owner considered higher level and assigns the jobs to the machines in order to minimize the flow time while the customer is the lower level and decides on a job schedule in order to minimize the makespan. In this paper, we use the concepts of tolerance membership function at each level to define a fuzzy decision model for generating optimal (satisfactory) solution for bilevel flow shop scheduling problem. A solution algorithm for solving this problem is given. Mathematics Subject Classification: 90C70, 90B36, 90C99     

论司马迁的商品经济创新思想

商品经济是否发达是某一历史时期社会发展的一个主要表现。但是,西汉时期,在前代统治者奉行“重农抑商”政策的情况下,在汉武帝独尊儒术强化思想统治的时候,司马迁能够首创经济史传,第一个系统的考察商品经济的发展及其特征,提出了一整套发展生产、扩大商品交换、富国富家的经济理论,总结了商人在商品经济中的作用以及经营管理之道,不仅使西汉走向了繁荣,而且达到了划时代的最高水平。司马迁的商品经济创新思想能发表在那样的时期,他的胆略和精神是难能可贵的,是值得我们认真清理的一笔财富。     

DEA-based anti-HIV immunotherapy model

Acquiredimmunitydeficiencysyndrome(AIDS)isoneofthemostfataldiseasesthathasspreadacrossthewholeworldsinceitfirstoccurred.Itiscausedbythehumanimmunodeficiencyvirus(HIV)[1].Mostofthechemotherapiesareaimedatkillingorhaltingthepathogen,butanewtreatmentistoreduceviralpopulationandimprovetheimmuneresponse.Thistreatmentcanboosttheimmunesystemandservetohelpthebodyfightinfectiononitsown,soitiscalledantiHIVimmunotherapy[2,3].TheaimofthisworkistofindefficientstrategiesforsuchtreatmentsusingtheDataEnv…     

垃圾填埋场选址问题的模糊数学模型研究

为有助于在环境和经济框架内评价垃圾填埋场选址决策,本文建立了关于该问题的多目标模型,模型中既考虑了安置和运营设施需要的固定成本和可变成本,也考虑了居民区承受的风险,以及各居民区承担风险的公平性。并进一步讨论了用模糊方法处理的一般多目标规划模型的模糊最优解与有效解及弱有效解之间的关系。最后使用两种模糊目标规划方法求解数值例子以分析所建模型的适用性,结果表明,加权模糊方法可以为决策者提供更接近期望值的满意方案。