关于凸体覆盖的Hadwiger猜想

针对Hadwiger猜想这一凸和离散几何中持续了近60年的著名难题,回顾了这一猜想的提出,它的若干等价形式,以及前人在尝试解决这一猜想的过程中取得的阶段性进展.介绍了该猜想相关的若干研究问题及相应结果.结果表明:一方面,Hadwiger猜想仍是一个远未解决的公开难题;另一方面,围绕着Hadwiger猜想及其相关问题还有大量亟待完成的基础性研究工作。     

PID参数整定的MCP标准传递函数法公式

根据MCP标准函数,利用控制器标准传递函数设计方法推导得出了一种新的PID参数整定公式.通过理论分析和仿真试验,验证了用MCP法公式整定的系统具有超调量小和鲁棒性高的优点.     

水对室温熔盐[Bpy]BF_4结构与性质的影响

采用分子动力学模拟方法研究了298.15 K、0.1 MPa下摩尔分数为0.05~0.95的水对室温熔盐1-丁基吡啶四氟硼酸([Bpy]BF4)结构与性质的影响.获得了体系的径向分布函数、配位数和空间分布函数等微观结构及其密度、自扩散系数、电导率和粘度等物理化学性质.模拟密度与实验结果符合很好;体系中各组分间的径向分布函数和配位数均随水摩尔分数的增加有规律的变化;获得了各组分之间的三维空间分布情况;随水摩尔分数的增加,阴阳离子之间的相互作用被削弱,同时水与阴离子、阳离子及水分子之间的相互作用逐渐增强,水、阴离子和阳离子的自扩散系数增大,体系粘度降低,电导率升高.研究工作揭示了水对[Bpy]BF4中各组分的存在形式、相互作用及其对体系物理化学及输运性质的影响,为其在冶金与材料制备方面的应用提供理论依据和参考.     

符号几何规划问题的求解新方法

对符号几何规划问题,给出一种求其全局最优解的分支定界算法。利用不同的凸化方法将算法中关键的定下界操作转化为易于求解的凸规划问题。最后给出算法的收敛性证明和数值实验结果。     

基于基准点系统与功能尺寸的轿车尾灯质量缺陷分析及改进

轿车尾灯局部外凸,降低了整车的外观质量.以检测数据为依据,结合生产工艺确定了影响轿车尾灯缺陷的因素,通过改进模具压力加工的孔位、制件在整形时型面下限伸延,增加冲压件焊接夹具上受力等方法,进行了改进.     

经济发展方式转变视域下政协职能发挥探析

人民政协作为我国政治生活中的重要方式,其特有的职能定位赋予了它在我国经济经济发展方式转变中不可或缺的重要作用。在经济发展方式转变过程中,它对于发展的顶层设计、具体过程的监督、行进中资源的整合等发挥着不可替代的作用。基于其现实中所存在的困境,充分发挥政协职能,其着力点在于优化环境、打造平台、完善制度和创新机制。     

Solving singular control problems using uniform trigonometrization method

This study investigates the application of a recently developed construct, the uniform trigonometrization method (UTM), to the singular control problems in chemical engineering. The UTM involves minimal modifications to the original problem, thereby generating near-singular control solutions that can be used for conceptual design and serve as an alternate to direct techniques like nested and simultaneous approaches. Eight classical singular control problems with known analytical solutions and three complex singular control problems from chemical engineering domain are solved in this study. The results obtained using the UTM for these problems are found to match well with the literature and are of higher resolution as compared to the results obtained using a direct pseudospectral-based solver. The ability of the UTM to handle complex chemical engineering problems with both singular controls and state path constraints has also been demonstrated in this study.     

定、转子冲片级进模维护要领及常见故障的排除

通过对电机定、转子片级进冲模结构形式的分类、凸模、凹模常见的固定方式的介绍，阐述了电机定、转子片级进冲模模具在日常使用中的维护和保养要领。重点介绍了凸模、凹模的更换程序，卸料板的安装程序，以及模具在使用中常见故障原因的分析和排除方法。     

离心铸造大口径球铁管用复合功能型脱硫剂的研制

为使硫量波动的高炉铁液能适应大型离心铸造球铁铸管生产,研制了一种成本较低廉、添加操作简单的复合功能型脱硫剂。其主要组分包括强脱[S]去[O]材料钝化镁粒、碳化钙,增加石墨核心元素Zn和膨胀集渣材料珍珠岩,以及能抑制反球化作用和净化铁液的材料等。采用冲入法进行球化处理,这种脱硫剂覆盖在球化剂和孕育剂上,使用方法简单,效果良好。     

Computer-aided thermodynamic study of solid Co---Pd alloys by Knudsen cell mass spectrometry, and calculation of the phase diagram

F.c.c. solid Co---Pd alloys have been investigated thermodynamically by means of computer-aided Knudsen cell mass spectrometry. Thermodynamic evaluation has been performed by applying the “digital intensity ratio” method. The thermodynamic excess properties can be described algebraically by means of thermodynamically adapted power series with two adjustable parameters, i.e. C₁^G (−20 810 + 9.608T) J mol⁻¹) and C₂^G (−30 720 + 6.78T) J mol⁻¹). At 1470 K, f.c.c. solid Co---Pd alloys are characterized by negative molar excess Gibbs energies G^E, exothermic molar heats of mixing (H^E) and small negative molar excess entropies S^E. At 1470 K, the minimum G^E value is −4600 J mol⁻¹ (61.9 at.% Pd), the minimum H^E value is −9400 J mol⁻¹ (59.5 at.% Pd) and the minimum S^E value is −3.3 J mol⁻¹ K⁻¹ (55.9 at.% Pd). The thermodynamic activities of Co show small positive deviations from the ideal case for the Co-rich alloys (x_Pd < 0.34), and negative deviations from Raoults' law for alloys with higher Pd contents. The Pd activities a_Pd show negative deviations from the ideal case for all compositions. The phase diagram has been computed by means of a generally applicable procedure for the calculation of the equilibrium compositions of coexisting phases. This was achieved using the results of this work, thermodynamic data from earlier mass spectrometric studies on the liquid phase, and literature data for the heat capacities and enthalpies of Co and Pd.