LIMIT THEOREMS FOR SUMS AND MAXIMA OF MIRWISE NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES

ＬＩＭＩＴＴＨＥＯＲＥＭＳＦＯＲＳＵＭＳＡＮＤＭＡＸＩＭＡＯＦＭＩＲＷＩＳＥＮＥＧＡＴＩＶＥＱＵＡＤＲＡＮＴＤＥＰＥＮＤＥＮＴＲＡＮＤＯＭＶＡＲＩＡＢＬＥＳ￥ＱＩＹｏｎｇｃｈｅｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，Ａｃａｄｅｍｉａ...     

Constructions on approximately mutually unbiased bases by Galois rings

Several new series of approximately mutually unbiased bases are constructed by using Gauss sums and Jacobi sums over Galois rings GR(p2, r), and the tensor method.     

基于ELECTRE的航天测控方案评价方法

针对航天测控方案评价问题,通过对航天测控中心的实际调研,归纳出 航天测控方案评价的基本原则,从测控方案的均衡性、集中性和效益性三个 方面建立了评价指标体系. 然后设计出一种基于ELECTRE的测控方案综合评价方法,并提出了测控方案的改进流程及方法. 最后通过实例仿真,表明提出的评价指标和改进方法能够为测控方案的选择和改进提供有效的参考依据.     

Strong Law of Large Numbers for Weighted Sums of Random Variables and Its Applications in EV Regression Models

This paper mainly studies the strong convergence properties for weighted sums of extended negatively dependent(END, for short) random variables. Some sufficient conditions to prove the strong law of large numbers for weighted sums of END random variables are provided. In particular, the authors obtain the weighted version of Kolmogorov type strong law of large numbers for END random variables as a product. The results that the authors obtained generalize the corresponding ones for independent ra...     

基于时间-空间分数阶偏微分方程的图像去噪模型

为了在去噪的同时更多地保留图像的细节信息,将分数阶微积分理论和梯度下降流有效结合,提出了分数阶梯度下降流的概念,并证明了能量泛函的分数阶梯度下降流在一定微分阶次范围内是收敛的。在此基础上,将时间因素引入到改进的基于空间分数阶偏微分方程的去噪模型中,从而构建了基于时间-空间分数阶偏微分方程的去噪模型,该模型实现了在时间方向上和空间平面内的同时去噪。实验结果表明,提出的基于时间-空间分数阶偏微分方程的图像去噪模型较基于空间分数阶偏微分方程的图像去噪模型不仅可以提高信噪比,而且可以大幅减少图像获得最大信噪比所需要的迭代次数。     

Exponential Sums over Finite Fields

This is an expository paper on algebraic aspects of exponential sums over finite fields. This is a new direction. Various examples, results and open problems are presented along the way, with particular emphasis on Gauss periods, Kloosterman sums and one variable exponential sums. One main tool is the applications of various p-adic methods. For this reason, the author has also included a brief exposition of certain p-adic estimates of exponential sums. The material is based on the lectures given at the 2020 online number theory summer school held at Xiamen University. Notes were taken by Shaoshi Chen and Ruichen Xu.     

多维动态信用评估的信用状态空间结构研究

从理论上讨论了多维动态信用评估（MDCE）的状态空间结构，提出信用状态维度、信用状态空间（CSS）、ε-等信用状态和ε-伪等信用状态等概念.在构造信用状态空间的基础上，结合空间分析方法和优化技术，构建了偏序结构下的多目标评估模型，所有待评估的信用主体被描述为信用状态空间中点的集合，并归入相应的信用状态等级，最后给出一个应用示例.     

关于仿真模型验证指标体系的探讨

指标体系是完成仿真模型验证的必要手段。为了澄清指标体系在模型验证中的应用误区,在分析指标关联、可信度计算和模型缺陷回溯问题的基础上,揭示了串联、并联、迭代、混合子模型局部可信度与模型整体可信度之间的关联,提出了指标体系的元素、图示和建立方法,说明了模型可信度计算和缺陷回溯方法,并给出了一个模型验证实例,详细说明了仿真模型验证指标体系的应用过程。     

Optimal control using microscopic models for a pollutant elimination problem

Optimal control problem with partial derivative equation (PDE) constraint is a numerical-wise difficult problem because the optimality conditions lead to PDEs with mixed types of boundary values. The authors provide a new approach to solve this type of problem by space discretization and transform it into a standard optimal control for a multi-agent system. This resulting problem is formulated from a microscopic perspective while the solution only needs limited the macroscopic measurement due to the approach of Hamilton-Jacobi-Bellman (HJB) equation approximation. For solving the problem, only an HJB equation (a PDE with only terminal boundary condition) needs to be solved, although the dimension of that PDE is increased as a drawback. A pollutant elimination problem is considered as an example and solved by this approach. A numerical method for solving the HJB equation is proposed and a simulation is carried out.     

关于争夺制天权的思考

当今世界,新技术革命的大潮汹涌澎湃,政局激烈动荡,战略格局正处在重新组合与调整时期。战略核武器的存在和持续发展与航天技术巨大成就和飞速进步交织在一起,使世界进入了“天核重叠”时代。地球上的缓和与对话,掩盖着太空的对抗与争夺。随着美国“战略防御倡议”计划的推进和实施,“星球大战”的设想和前景给未来太空的开发和利用罩上一层朦胧的阴影。未来的太空景象如何?随着航天技术的发展,开发太空将对人类社会的经济生活、政治生活和军事对抗态势产生何种影响?本文从宏观战略和科学技术角度,对有关问题做了分析、论述。     

APPROXIMATION OF SOLUTION OF RELAXED DIFFERENTIAL INCLUSION ON COMPACT SET

ＡＰＰＲＯＸＩＭＡＴＩＯＮＯＦＳＯＬＵＴＩＯＮＯＦＲＥＬＡＸＥＤＤＩＦＦＥＲＥＮＴＩＡＬＩＮＣＬＵＳＩＯＮＯＮＣＯＭＰＡＣＴＳＥＴ￥ＳＯＮＧＷｅｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨａｒｂｉｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈａｒｂ...     

BASIC PROPERTIES OF K-SPACES

Every complete metric linear space is a K-space.A non-completenormed space can be a K-space.And non-metrizable K-spaces exist.A series ofbasic results on complete metric linear spaces Can be generalized to K-spaces.Forexample,every bounded linear operator from a K-space into a locally convex spaceis sequentially continuous;every bounded semi-norm on a K-space is sequentiallycontinuous and,therefore,piecewise separable;a.C-sequeatial K-space is both bar-relled and bornological;the family of sequentially continuous linear functionals ona K-space is weak sequentially complete.     

空间滤波在雷达中的应用

本文讨论了空间滤波在雷达中的应用。应用空间滤波理论设计雷达,能使雷达具有自适应波束捷变能力和高的分辨率.在讨论问题的过程中,强调了天线方向图、加权系数和空间谱等物理概念的重要性。     

载人航天器组合体CO2分压控制策略分析

随着载人航天技术的发展,载人航天器由单舱段构型逐渐发展成为多舱段组合体构型,其中一个或若干个舱段在舱间通风的支持下对组合体密封舱内空气环境进行集中控制。利用多学科建模工具Ecosimpro建立了载人航天器组合体CO2分压控制计算模型,对载人航天器组合体组建过程中,各舱CO2分压水平进行了分析。当舱段数达到3个以上,将会出现非主控舱CO2分压超标现象。针对CO2分压超标现象,提出了3种控制策略:提高全部舱间通风量、更改CO2控制系统位置、提高部分舱间通风量+更改CO2控制系统位置,并对3种控制策略的效果进行了仿真分析。结果表明,更改CO2控制系统位置并提高部分舱间通风量是最有效的载人航天器组合体CO2分压控制策略。     

基于部分交叉验证的多准则序贯近似建模方法

提高序贯近似建模的精度和收敛效率,关键在于制定合理有效的序贯抽样准则。针对如何有效获取目标系统信息进行近似建模,同时提高建模精度和收敛效率,提出了基于部分交叉验证的多准则序贯近似建模方法。通过融合部分交叉验证误差估计准则、极大序贯建模累积变化准则和极大熵准则的特征和优势,可实现对全空间全面抽样和对不规则区域重点抽样,进而提高近似模型的精度和收敛效率。算例测试表明该方法在提高序贯近似建模精度和收敛效率方面可行有效。     

基于Petri网的航天装备体系作战效能评估方法

针对航天装备体系的特点，将航天装备体系分为逻辑体系结构和物理体系结构，利用着色随机Petri网建立功能模型，描述逻辑体系结构，利用排队论及航天装备性能模型建立物理模型，描述物理体系结构，二者通过信息交互构成完整的体系。以打击海上移动目标为例，将功能模型、物理模型和作战效能模型结合起来建立了航天装备体系作战效能模型。仿真结果表明所建立的模型能够合理反映航天装备体系对作战结果的影响，可以用于分析航天装备体系结构与配置。     

自组(织)涌现律之研究

自组(织)涌现律是在总结现代科学最新成就的基础上,对辩证唯物主义的发展。自组涌现律在总体上描述了世界系统的创生、演化和发展的态势。自组(织)涌现律认为,我们的世界系统是一个不断创新的系统。我们的世界系统是一个不断向相邻可能性演化的过程,任何一个演化阶段都不可能跨越其相邻可能性空间而发展。我们的世界系统的相邻可能性空间在不断地增大,而我们现实的世界只是无限的相邻可能性空间的部分实现。     

On a boundary value problem for a Sturm-Liouville type differential inclusion

<正> This paper proves a Filippov type existence theorem for solutions of a boundary valueproblem for a Sturm-Liouville type differential inclusion defined by a nonconvex set-valued map.Themethod consists in application of the contraction principle in the space of selections of the set-valuedmap instead of the space of solutions.     

BOUNDARY SOLUTIONS OF OPERATOR EQUATIONS IN PARIAL ORDERING SETS WITH APPLICATIONS TO SYSTEMS OF FUNCTIONAL

1.IntroductionThepaPers[l-5]studythecoupledfixedp0intsofmixedmonotoneoperatorsinBanachspaces;theyshowusgeneralizationsofthefixedpoillttheoremsonincreasingoperatorsanddecreasingoperators.Applicationsoftheseresultsmaybefoundinmanyfieldsofmathematicssuchasnonlineaxdifferentialequations,illtegralequationsanddynamicprogrammingtheories.Inthispaper,westudytheekistenceofsolutionsandboundarysolutionstoasystem0foperatorequationsinpartialorderingsets.Wegeneralizeandimproveonsomeresultsaboutthecoupledfix…     

POLYTOPIC PERTURBATION BOUND FOR STABILITY OF POLYNOMIALS

ＰＯＬＹＴＯＰＩＣＰＥＲＴＵＲＢＡＴＩＯＮＢＯＵＮＤＦＯＲＳＴＡＢＩＬＩＴＹＯＦＰＯＬＹＮＯＭＩＡＬＳＡＮＳｅｎｊｉａｎ；ＷＡＮＧＥｎｐｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８...