稀土光谱参量的第一性原理研究

稀土离子光谱的参量化理论在目前及可预见的将来仍是精确解释和预言稀土发光材料光谱性质的唯一可行的理论,但其预言能力在没有实验数据的前提下因难以确定参量值而在应用上受到很大限制.人们先后尝试用参量的唯象模型方法或直接采用第一性原理进行光谱计算来解决,仅取得了有限的成功.参量化理论 (及其唯象模型) 和第一性原理计算相结合是...     

工作市场信号博弈混同均衡通式

提出双混同均衡的概念，作为对混同均衡的推广，基于该概率，给出了工作市场信号博弈混同均衡的一般形式，因而，普通的混同均衡都是它的特例。     

幂律度与成矿预测

分形理论的引入极大地促进了现代定量地学的发展。在成矿预测的科研和实践中，人们曾先后建立了多种分形预测模型，并取得较好的效果。作者另辟蹊径，通过引入新的分形变量——幂律度(power—law)，建立地质一分形联合预测模型，在理论上进行了初步探索；并以云南省宁蒗—永胜地区铜矿成矿预测为例，圈定A级找矿靶区1处、C级找矿靶区2处，已知矿点的误判率较单一地质预测模型明显降低，体现了幂律度这一分形变量在成矿预测中的优越性。     

一类弱半线性电报方程解的渐近理论

在区域{（x,t）｜x∈R,0〈t〈L/√｜ε｜}中,研究了一类具有初值问题的弱半线性电报方程解的适定性问题,给出了解在这个区域上形式近似解的渐近合理性,并给出了所得渐近理论的应用．     

扇与Halin图的一致膨胀图的关联色数

设图G的点集V（G）={v1,v2,…vn},G的膨胀图R的点集V（FG）=V1UV2U…UVn,且对X∈K,y∈Vj,有xy∈E（FG）,当且仅当i=j或ViVj∈E（G）。若对所有的i,满足｜Vi｜=t,则称其为G的一致膨胀图。给出了扇与△≥6的Hahn图的一致膨胀图的关联色数,它们均为该膨胀图的最大度加1。     

隧道衬砌变形引起的地层位移规律探讨

采用数值分析方法研究了隧道衬砌在土水压力的作用下,断面所产生的椭圆化变形引起的地层位移规律,并基于随机介质理论,给出了计算隧道椭圆化变形引起地层位移的方法。通过实例计算对所建议的方法给予了说明,指出衬砌受压变形造成的地层位移是地表沉降槽曲线偏离高斯分布规律的重要原因之一。     

异质多智能体系统在固定拓扑下的分组一致性

研究了异质多智能体系统的分组一致性,针对固定通信拓扑情况,提出了一种基于邻接信息的分布式控制协议,并通过李雅普诺夫理论,推导出异质多智能体系统实现分组一致性的充分条件.最后利用数值仿真验证了理论分析的正确性.     

Stability Analysis of Stochastic Swarm Systems

In this paper,we present a model of stochastic swarm system and prove the stability of this kind of systems. We establish the stable aggregating behavior for the group using a coordination control scheme. This individual-based control scheme is a combination of attractive and repulsive interactions among the individuals in the group,which ensures the cohesion of the group and collision avoidance among the individuals. The dynamics of each individual depends on the relative positions between the individuals and the influences of the random disturbances. Under the influences of the noises,this position-based control strategy still generates the stable aggregating behavior harmoniously for the group and the self-organized swarm pattern is formed.     

Analysis of Conditional Value-at-Risk for Newsvendor with Holding and Backorder Cost under Market Search

We consider a distribution system with one supplier and two retailers. For the two retailers, they face different demand and are both risk averse. We study a single period model which the supplier has ample goods and the retailers order goods separately. Market search is measured as the fraction of customers who unsatisfied with their ＂local＂ retailer due to stock-out, and search for the goods at the other retailer before leaving the system. We investigate how the retailers game for order quantity in a Conditional Value-at-Risk framework and study how risk averse degree, market search level, holding cost and backorder cost influence the optimal order strategies. Furthermore, we use uniform distribution to illustrate these results and obtain Nash equilibrium of order strategies.     

分子H的李代数展开式中基本力学量的对易关系

用Ｌｉｅ代数方法,计算了Ｈａｍｉｌｔｏｎｉａｎ的Ｌｉｅ代数中各个基本力学量之间的对易关系