向量值有限平均MDP

讨论了向量值离散时间平均准则下的有限马氏决策模型；在采取确定性平稳策略时所得马氏决策过程为遍历的假设下，证明了存在一个至多在Ｋ－１个状态是随机的平稳最优策略，并给出了其线性规划算法。同时证明了存在强最优策略的充要条件是其存在强确定性平稳最优策略。     

镀铜板镀铜量检测分析仪的研制

根据电解剥离原理，采用Cygnal F020单片机为智能部件，研制出的镀铜板镀铜量检测分析仪．本仪器采用微分电位法，使各层界面自动分层难题得到了解决，同时对双电层电容充电电流所引起的测量误差作了修正．该仪器通过USB接口与上位机配合使用，具有小型轻便、操作界面友好和检测数据精确等特点，并具有本机显示和打印测量结果的功能．     

济源凹陷油源追踪及烃类垂直运移作用

济源凹陷为一中、新生代复合型断陷．下第三系原油为轻质、低硫原油，与下伏中生界（Ｔｔ－Ｊ２）湖沼相生油岩抽提物具有同源性，而与下第三系泥岩抽提物回然相异。后邓断裂是烃类垂直运移的良好通道，中生界生成的烃类沿断裂经过了约３０００－４０００ｍ的垂直运移而聚集成芷。长距离的垂直运移造成了原油中ｒ－蜡烷的富集，作为运移通道的断裂发育时间、规模等控制了浅层油芷的分布．     

粉粒状物料透气性系数的测定

对经过分级的六种均齐粉粒状物料进行透气性系数测定。结果表明:球形小米颗粒((?)_p=1.70mm),透气性系数K=1.191×10~(-9)m~2,在整个固定床范围内都符合达西定律;石灰石粉((?)_P=0.900mm),K=5.831×10~(-10)m~2。文中还讨论了达西定律的适用依据和透气性系数的影响因素。     

挤压条件对谷物早餐质构的影响

研究了挤压加工中螺杆的螺旋速度，Ⅰ区、Ⅱ区和Ⅲ区温度对谷物早餐质构的影响．选取脆性、保脆性、吸水率（WAI）、溶水率（WSI）、体积密度、固体密度和膨化度为主要指标进行研究．研究结果表明：挤压机螺旋速度和Ⅲ区温度对谷物早餐产品质构的影响最大；随着螺旋速度的升高，保脆性会得到提高，淀粉颗粒可以保持其原有的晶型结构，膨化度不断升高；随着Ⅲ区温度的升高，保脆性降低，WSI升高，淀粉颗粒的晶型结构受到破坏，产品膨化度升高．     

Ruin Probability with Variable Premium Rate and Disturbed by Diffusion in a Markovian Environment

We consider a risk model with a premium rate which varies with the level of free reserves. In this model, the occurrence of claims is described by a Cox process with Markov intensity process, and the influence of stochastic factors is considered by adding a diffusion process. The integro-differential equation for the ruin probability is derived by a infinitesimal method.     

Study on the Elasticity-Plasticity-Stickiness of the Railway Crushed Stone Ballast

This paper is mainly aimed at the mechanics characteristic elas of ticity-plasticitystickiness existed in the CWR (continuously welded rails) track plane of the railway crushed stone ballast. As an important mechanics parameter of the CWR track plane, the ballast resistance is mainly influenced by this mechanics characteristic. Through the systematic experimental research and the theoretical analysis, this mechanics characteristic of the ballast resistance is revealed and a reasonable theoretical model is built for it. This study set a sound foundation for further studying the CWR track deformation property. It will be beneficial to the development of high-speed railway in China.     

轧制法生产高复基比不锈复合钢板和钢带的开发应用

不锈钢复合板既具有不锈钢的耐腐蚀性、耐磨性、抗磁性、豪华性和装饰性;又具碳钢良好的可焊性、成型性、拉延性和导热性,还可节约镍铬合金、降低成本,因而具有广阔的发展前景,值得大力推广应用.     

以4,4''''-二(咪唑基亚甲基)联苯为客体的环糊精类轮烷的合成与表征

以4,4'-二(咪唑基亚甲基)联苯(bibp)为客体,通过自组装合成了4,4'-二(咪唑基亚甲基)联苯和环糊精的[3]类轮烷,并通过元素分析,1HNMR,ESI-MS,IR,TG-DSC进行了表征和固体热稳定性等研究,结果表明:由于bibp客体分子链较长,含有两个苯环,所以可穿入两个β-环糊精分子,形成[3]类轮烷.     

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