探索学生学习效能的提高--兼数学教学活动

学生学习效能差异很大，这和内外因的各种因素有关，文章着重激发学生学习中的内驱力和教师教学方法等外驱力的作用展开探讨．     

Newton's Easy Quadratures ``Omitted for the Sake of Brevity'

In the 1687 Principia, Newton gave a solution to the direct problem (given the orbit and center of force, find the central force) for a conic-section with a focal center of force (answer: a reciprocal square force) and for a spiral orbit with a polar center of force (answer: a reciprocal cube force). He did not, however, give solutions for the two corresponding inverse problems (given the force and center of force, find the orbit). He gave a cryptic solution to the inverse problem of a reciprocal cube force, but offered no solution for the reciprocal square force. Some take this omission as an indication that Newton could not solve the reciprocal square, for, they ask, why else would he not select this important problem? Others claim that ``it is child's play' for him, as evidenced by his 1671 catalogue of quadratures (tables of integrals). The answer to that question is obscured for all who attempt to work through Newton's published solution of the reciprocal cube force because it is done in the synthetic geometric style of the 1687 Principia rather than in the analytic algebraic style that Newton employed until 1671. In response to a request from David Gregory in 1694, however, Newton produced an analytic version of the body of the proof, but one which still had a geometric conclusion. Newton's charge is to find both ``the orbit' and ``the time in orbit.' In the determination of the dependence of the time on orbital position, t(r), Newton evaluated an integral of the form ∫dx/x <sup>n</sup> to calculate a finite algebraic equation for the area swept out as a function of the radius, but he did not write out the analytic expression for time t = t(r), even though he knew that the time t is proportional to that area. In the determination of the orbit, θ (r), Newton obtained an integral of the form ∫dx/√(1−x<sup>2</sup>) for the area that is proportional to the angle θ, an integral he had shown in his 1669 On Analysis by Infinite Equations to be equal to the arcsin(x). Since the solution must therefore contain a transcendental function, he knew that a finite algebraic solution for θ=θ(r) did not exist for ``the orbit' as it had for ``the time in orbit.' In contrast to these two solutions for the inverse cube force, however, it is not possible in the inverse square solution to generate a finite algebraic expression for either ``the orbit' or ``the time in orbit.' In fact, in Lemma 28, Newton offers a demonstration that the area of an ellipse cannot be given by a finite equation. I claim that the limitation of Lemma 28 forces Newton to reject the inverse square force as an example and to choose instead the reciprocal cube force as his example in Proposition 41. (Received August 14, 2002) Published online March 26, 2003 Communicated by G. Smith     

两段绞接式联合收割机输送槽的设计研究

本文介绍一种适宜配置在悬挂式联合收割机上的两段铰接式输送槽设计,这种输送槽后段固定,前段与割台连接并与后输送槽铰接,该铰接点为前悬挂割台的支点,借助液压油缸升降,文中对该铰接点位置的确定,以及两段输送槽铰接处的圆弧过渡板设计进行了分析研究,提供了设计方法.     

混合稀土氯化物催化合成了氧基吡喃的Diels－Alder反应

报道了混合稀土氯化物催化丙烯酸和乙烯基丁醚环加成反应的动力学行为．在温和条件下，反应收率可由非催化反应的５％提高到７４％，反应为二级反应。     

STABILITY CRITERIA FOR A CLASS OF UNCERTAINSYSTEMS WITH TIME—DELAY

Some stability criteria are obtained for a class of uncertain systems with time-delay usingLyapunov functional and analytic techniques. It is easy to check the criteria by making use of theboundedness of the uncertainties.     

Technical Notes ：STUDIES ON THE VALUE OF SECONDARY MARKET TO THE SUPPLY CHAIN

This paper investigates the impact of a secondary market, where retailers can buy and sell excessinventories, on the supply chain. We develop a two-period model with a single manufacturer and tworetailers. At the beginning of the first period the retailers order and receive products from themanufacturer, but at the beginning of the second period, they can trade surplus products betweenthemselves in the secondary market. We investigate the impact of the correlated dependence ofretailers' demand on both the quantity effect and the allocation effect under the secondary market.Lastly,we study potential strategies for the manufacturer to increase sales with the existence of thesecondary market.     

FROM MANUFACTURING SCHEDULING TO SUPPLY CHAIN COORDINATION：THE CONTROL OF COMPLEXITY AND UNCERTAINTY

With time-based competition and rapid technology advancements, effective manufacturingscheduling and supply chain coordination are critical to quickly respond to changing marketconditions. These problems, however, are difficult in view of inherent complexity and variousuncertainties involved. Based on a series of results by the authors, decomposition and coordination byusing Lagrangian relaxation is identified in this paper as an effective way to control complexity anduncertainty.A manufacturing scheduling problem is first formulated within the job shop context withuncertain order arrivals, processing times, due dates, and part priorities as a separable optimizationproblem. A solution methodology that combines Lagrangian relaxation, stochastic dynamicprogramming, and heuristics is developed. Method improvements to effectively solve large problemsare also highlighted. To extend manufacturing scheduling within a factory to coordinate autonomicmembers across chains of suppliers, a decentralized supply chai     

JXTA技术中RPV的改进策略

JXTA技术的对等网络中普遍存在RPV管理不足的现象,该现象对网络中的信息传递有较大影响.分析了现有RPV中的聚集对等点信息管理的缺陷,以及由此导致的查询效率和网络性能的降低.提出了对RPV的改进策略,并给出了相应的查询消息发送机制.改进后的RPV策略提高了查询效率,并改善了RPV的适应性.     

文山州人口素质现状与人才开发的几点思考

从文山州人口的受教育程度可以反映出，文山州目前的人口素质现状是令人担忧的，在此基础平台上，文山州人才资源的学历结构、地域分布、民族分布、行业分布等存在着严重的不平衡，这种状况，极大地制约着文山经济社会的发展。为此，开发文山人才资源，尤其是盘活文山现有人才资源就具有重要的战略意义。     

EQD—3为添加剂的锌酸盐镀锌

锌酸盐镀锌用的添加剂一般是有机化合物,单一的化合物其作用不佳,必须进行合成。合成后的添加剂能使镀层光泽好,分散能力、深镀能力较高,电流密度范围较宽,产品性能良好,是改革氰化镀锌的有效途径。