Role of information in the stochastic zero-sum differential game

In this paper, a linear-quadratic Gaussian zero-sum differential game is studied. Maneuverability is defined to measure players' strength. It is shown that a more maneuverable player would prefer a more observable information system. An example is given to show that a more controllable player might not prefer more observable measurements in the stochastic environment.The research reported in this paper was made possible through support extended to the Division of Engineering and Applied Physics, Harvard University, by the US Office of Naval Research under the Joint Services Electronics Program by Contract No. N00014-75-c-0648 and by the National Science Foundation under Grant No. GK31511.     

Thermodynamics of aqueous gallium chloride. Heats of solution and dilution at 25°C

The heat of solution of GaCl₃ and heats of dilution of single GaCl₃ solutions in water and of mixed GaCl₃−HCl solutions in HCl solutions (with a fixed HCl concentration of 0.1337 mol-kg⁻¹ HCl) up to 4 mol-kg⁻¹ GaCl₃ were measured at 25°C. While in the acid solutions hydrolysis is suppressed to below 0.5% of total gallium concentration, the measurements in water allow evaluation of the effect of hydrolysis on the relative enthalpy. The Pitzer interaction model for excess properties of aqueous electrolytes was used to interpret the change in relative enthalpy with concentration. Pitzer parameters were derived by statistical inference using ridge regression. Their physical significance is supported by the heat of solution data. The measurements yield the following results for standard heats of formation and Pitzer parameters for the relative molar enthalpy at 25°C: With these parameters the overall variance in the partial molar heat of solution at infinite dilution, extrapolated from the present experiments, is minimized to 0.35 kJ²-mol⁻², while the experimental apparent molar heats of dilution are reproduced on average within 2.7 kJ-mol⁻¹.     

稀土对碳锰纯净钢耐腐蚀性能的影响

在碳锰纯净钢中加入稀土元素镧和铈, 用电化学方法测定了腐蚀电流icorr和点蚀特征电位Eb. 结果表明, 稀土种类和含量对碳锰纯净钢的腐蚀性能存在影响, 镧、铈的适宜含量分别为0.011%和0.014%左右. 稀土的作用与它引起的组织变化和对极化过程中试样表面状况的影响有关.     

碳酸根离子柱撑钴铝水滑石的合成与表征

水滑石类化合物近年来受到人们的广泛关注,它具有的独特的阴离子柱撑层状结构及独特的阴离子可交换性和阳离子可搭配性,使它成为一种多功能的新型催化材料［１］．本文报道的是钴铝水滑石类化合物（ＣｏＡｌＨＴ）的制备规律及其表征．１实验部分１．１ＣｏＡｌ?..     

线性模型中加权混合估计相对于最小二乘估计的两种相对效率

本文提出了线性模型中加权混合估计相对于最小二乘估计的两种相对效率,并给出了这些相对效率的上下界.     

高校科技资源配置效率比较分析

基于数据包络分析(DEA)模型,为讨论高校在不同方面的表现,定义了不同投入产出的四种模型,结果表明不同的投入产出组合会得到不同的效率得分,此外通过不同模型的比较,可以知道十年间新疆高校科研效率的对比情况.为进一步分析新疆高校的科研效率情况,对新疆9所高校的科研效率做了进一步分析,通过对这九所高校的技术及规模效率分析,对高校的进一步发展提出了建议.     

基于GM(1,1)与主成分回归的海南GDP预测及其影响因素分析

以海南省年度GDP为衡量经济增长指标变量,以旅游业总收入、农林牧渔业增加值、建筑业增加值、固定资产投资总额、社会消费品零售总额及对外贸易进出口总额六个指标作为影响因素,采用多个标准对1987-2014年数据进行筛选,建立GM(1,1)模型对海南GDP及其影响因素进行5年预测,来分析海南经济结构变动趋势.利用灰色关联分析定性分析了六个行业对GDP的影响程度;从定量分析角度,利用线性主成分回归模型和对数主成分回归模型分别对海南GDP进行边际、弹性分析.发挥了灰色系统科学理论和计量经济模型各自长处,为建设海南国际旅游岛相关政策的制定提供参考.     

适应性最小相对误差估计

针对乘积回归模型提出一种适应性最小相对误差(ALRE)准则,准则是一种自适应的估计方法.对于不同数据,通过调整权重可提高模型的解释能力和参数估计的准确性.证明了ALRE准则下估计量的相合性和渐近正态性.实证研究和人体脂肪数据的应用分析进一步说明了ALRE准则的有效性和实用性.     

到三定点相对距离的和等于定数的点的轨迹

本文研究了相对测度空间中的距离问题. 利用质点几何的理论方法获得如下结果:对任意给定的实数, 满足条件dT (P,A) + dT (P,B) + dT (P,C) =τ的点P的轨迹是凸十二边形或九边形(其中T:=ABC 是由给定的不同三点A, B, C构成的三角形), 所得结果丰富了相对距离研究领域的内容.