Inverse optimization for linearly constrained convex separable programming problems

In this paper, we study inverse optimization for linearly constrained convex separable programming problems that have wide applications in industrial and managerial areas. For a given feasible point of a convex separable program, the inverse optimization is to determine whether the feasible point can be made optimal by adjusting the parameter values in the problem, and when the answer is positive, find the parameter values that have the smallest adjustments. A sufficient and necessary condition is given for a feasible point to be able to become optimal by adjusting parameter values. Inverse optimization formulations are presented with ℓ₁ and ℓ₂ norms. These inverse optimization problems are either linear programming when ℓ₁ norm is used in the formulation, or convex quadratic separable programming when ℓ₂ norm is used.     

求解半定乘性规划的外部逼近算法

定义了半定乘性规划问题,提出一种求解它的外部逼近算法,并通过具体的实例说明算法的可行性.     

On an open problem of Sankaranarayanan

Let λ(n) be the n-th normalized Fourier coeficient of a holomorphic Hecke eigenform f(z) ∈ Sk(Γ) for the full modular group.In one of his papers,Sankaranarayanan mentioned that it is an open problem to give a non-trivial estimate for the sum of λ(n) over cubes,i.e.n x λ(n3).In this paper,we are able to use the analytic properties of symmetric power L-functions to solve his problem.More precisely,we prove that Σn≤zλ(n3) x(3/4 +ε),Σn≤zλ(n4) x(97+ε).     

Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets

The B-spline basis set plus complex scaling method is applied to the numerical calculation of the exact resonance parameters Er and Г/2 of a hydrogen atom in parallel electric and magnetic fields. The method can calculate the ground and higher excited resonances accurately and efficiently. The resonance parameters with accuracies of 10^-9 - 10^-12 for hydrogen atom in parallel fields with different field strengths and symmetries are presented and compared with previous ones. Extension to the calculation of Rydberg atom in crossed electric and magnetic fields and of atomic double excited states in external electric fields is discussed.     

An explanation for deviations from the quark number scaling of elliptic flows in low pT region

We carry out a systematic study of the different contributions to the deviations of the elliptic flows from the quark number scaling in high energy heavy ion collision in a quark combination model.The effects that we considered are:the resonance decay,the flavor dependence of the quark elliptic flow and the combination of quarks/antiquarks with slightly different transverse momenta.Our results show that the deviations observed in experiments can be well reproduced within the combination framework if all the three effects are considered. We make a detailed analysis of the different contributions using a Monte-Carlo program and suggest measuring the quark number scaling in intermediate pT range more precisely.     

平行板静电场法铯离子引出的实验研究

为研究平行板静电场法离子引出的规律，利用对由YAG四倍频脉冲激光(266nm)一步电离产生的铯等离子体进行了多次离子引出实验。结果发现，离子引出时间随外加引出电压的增加而减小，随离子初始密度的增加而增长。通过对实验数据的分析，获得了在此实验条件下光致瞬态铯等离子体离子引出时间与外加引出电压和离子初始密度之间关系的经验公式。但是，离子引出时间并非一直随电压的增加线性减小。在外加电压超过1200V以后发现离子引出时间有增加的趋势。在外加电压高于1000V以后观察到溅射离子峰的存在．并讨论了溅射现象的存在对离子引出时间的影响。通过对离子引出与收集和溅射现象的分析获得了本实验条件下平行板静电场法离子引出中外加电压的最佳值。     

8 mm二次谐波回旋速调管放大器双阳极磁控注入电子枪的设计

 计算了8 mm二次谐波回旋速调管双阳极电子枪的设计参数，根据这些参数，采用EGUN软件进行模拟和优化，设计出了一只双阳极磁控注入电子枪，该枪的电子束纵横速度比为1.45，速度零散为5.4%，并讨论了电极形状、磁场分布、电流、控制极电压和第二阳极电压对电子注性能的影响，结果发现电子注对这些影响因子非常敏感，设计中应对它们进行充分优化。     

异构网络环境下的并行程序可达性测试算法

针对不确定性并行程序难于测试的问题,分析了并行程序消息传递行为与网格环境中网络性能约束之间的关系,在经典可达性测试算法的基础上,提出了新的限定性可达性测试算法,称为基于网络性能约束的可达性测试算法。本算法在考虑网络性能约束的基础上,只对发生频率高的执行路径进行测试,缩减了待测试路径的数量,提高测试效率,在此基础上尽可能保证测试的完全性。     

分布式并行数据挖掘计算框架及其算法研究

为了提供一个灵活可扩展的计算平台进行高效的挖掘计算，提出了一种应用于分布和并行环境的数据挖掘计算框架和相应的算法。通过分析关联规则挖掘理论和以往算法的优缺点，建立一种分布式并行数据挖掘的计算框架，并给出相应的求解算法。实例分析表明该计算框架能够减少节点问的通信开销，保持了良好的可扩展性：挖掘算法则利用本地节点动态有序集合枚举树生成方法代替数据库节省了本地空间的占用．大大提高了查找的计算效率。     

12-Bit ADC MCP3201及其接口实现

MCP3201是Microchip公司生产的12位分辨率模数转换芯片,可以借助兼容SPI的简单串行接口进行通讯,具有高性能、低价格、高速度、低功耗的优点,适用于传感器接口、数据采集、过程控制及电池供电系统等诸多场合。介绍了MCP3201的基本特性、引脚功能及工作时序,提供硬件接口的设计范例,并给出基于C语言的实用的具体程序。