Real analysis related to the Monge-Ampère equation

In this paper we consider a family of convex sets in , , , , satisfying certain axioms of affine invariance, and a Borel measure satisfying a doubling condition with respect to the family The axioms are modelled on the properties of the solutions of the real Monge-Ampère equation. The purpose of the paper is to show a variant of the Calderón-Zygmund decomposition in terms of the members of This is achieved by showing first a Besicovitch-type covering lemma for the family and then using the doubling property of the measure The decomposition is motivated by the study of the properties of the linearized Monge-Ampère equation. We show certain applications to maximal functions, and we prove a John and Nirenberg-type inequality for functions with bounded mean oscillation with respect to

     

新经济下企业文化再造初探

新经济是以新技术、新知识等资源为基础的经济。新经济使企业文化生存面临种种挑战,也随之发生深刻的变革。实施企业X再造进而达到文化再造将是新经济下形成具有核心竞争力的创新性企业文化、推动企业前进的源动力。     

钢铁企业产成品物流控制中转库流向的优化问题

以我国大型钢铁企业上海宝山钢铁集团(公司)为背景,描述了其产成品物流控制中的产成品转库问题,建立了转库流向优化问题的数学规划模型·使用遗传算法,提出一种称为“两段式可重复非负整数编码”的编码策略来获得大规模01规划模型的近优解·计算结果表明,当可用能力足够大并且准发数较少时,结果与SAS/OR的计算结果非常接近·当可用能力不是足够大,并且准发数较多时,计算结果要好于实际调度结果,此时SAS/OR软件在规定的时间内无法算出优化解·     

Geometric properties of the sections of solutions to the Monge-Ampère equation

In this paper we establish several geometric properties of the cross sections of generalized solutions to the Monge-Ampère equation , when the measure satisfies a doubling property. A main result is a characterization of the doubling measures in terms of a geometric property of the cross sections of . This is used to obtain estimates of the shape and invariance properties of the cross sections that are valid under appropriate normalizations.

     

栅片灭弧室电场的计算及其对灭弧性能的影响

用有限元法计算了小容量接触器灭弧室内部三维电场的分布，分析了不同的栅片放置方式对电场分布的影响，并通过试验研究了电场对电弧重燃的影响程度．分析和试验表明：将灭弧栅片竖直放置，触头灭弧区域电场分布最均匀；在弧后恢复电压电场作用下，电弧重燃率最低，燃弧时间最短