抽取信号的χ2分布拟合方法

BESⅡ上测量ψ(2S)辐射衰变时, 鉴于本底道的污染非常严重, 提出了一种抽取信号事例数的χ²拟合方法. 大量的蒙特卡罗模拟表明, 信号道与各个本底道的χ²分布形状各不相同. 这些特点提供了从数据的χ²分布中抽出信号道事例数的χ²拟合方法. 从蒙特卡罗模拟的结果来看, χ²拟合方法的误差小于2%.     

Relative position determination of a lunar rover using high-accuracy multi-frequency same-beam VLBI

Multi-frequency same-beam VLBI means that two explorers with a small separation angle are simultaneously observed with the main beam of receiving antennas. In the same-beam VLBI, the differential phase delay between two explorers and two receiving telescopes can be obtained with a small error of several picoseconds. The differential phase delay, as the observable of the same-beam VLBI, gives the separation angular information of the two explorers in the celestial sphere. The two-dimensional relative position on the plane-of-sky can thus be precisely determined with an error of less than 1 m for a distance of 3.8×105 km far away from the earth, by using the differential phase delay obtained with the four Chinese VLBI stations. The relative position of a lunar rover on the lunar surface can be determined with an error of 10 m by using the differential phase delay data and the range data for the lander when the lunar topography near the rover and the lander can be determined with an error of 10 m.     

Unquenched Effects and Quark Mass Dependence of Lattice Gluon Propagator in Infrared Region

In this paper, the gluon propagator in Landau gauge has been studied on a lattice, including the quenched and the unquenched one. The small geometry size of lattice we use is 16^3 × 32, and the big one is 20^3 × 64. For the quenched approximation, we fit the numerical results and give a little different fitting values. We also obtain unquenched effects by comparing the gluon propagator resulting from the quenched and unquenched configurations, for both the two-flavor and three-flavor cases. For the unquenched configurations, an obvious quark mass dependence has not been found in the small quark mass case, but is found in the three-flavor case when the quark mass is big.     

Robust adaptive synchronization of uncertain complex networks with multiple time‐varying coupled delays

In this article, the synchronization problem of uncertain complex networks with multiple coupled time‐varying delays is studied. The synchronization criterion is deduced for complex dynamical networks with multiple different time‐varying coupling delays and uncertainties, based on Lyapunov stability theory and robust adaptive principle. By designing suitable robust adaptive synchronization controllers that have strong robustness against the uncertainties in coupling matrices, the all nodes states of complex networks globally asymptotically synchronize to a desired synchronization state. The numerical simulations are given to show the feasibility and effectiveness of theoretical results. © 2014 Wiley Periodicals, Inc. Complexity 20: 62–73, 2015     

随机需求弹性及在经济分析中的应用

引入随机弹性的概念及随机弹性的相关性质，进而给出随机需求弹性．利用随机需求弹性分析了当消费群体的收入为随机变量时，其收入对需求量的变化和影响．给出了当收入服从某种分布时，需求量的弹性分布．     

多点时序MCG数据的处理和利用

在简易磁屏蔽室中，用单通道的高温超导rf SQUID梯度计构成心磁图（MCG）测量系统，依照MCG测定部位的约定，测得数例成人胸前多点MCG．不计心动周期随时问的变化，用数据分析软件对这些MCG数据进行分析处理，得到包括了空间信息、可直观展示心脏电磁活动的二维心磁图谱（例如等磁图、时序等磁图、电流箭头图和时序电流箭头图等）     

The Effective Degree of Freedom of Low Energy QCD

The adiabatic effective baryon-baryou interactions and dibaryon candidates are studied systematically with three constituent quark models based on different effective degrees of freedom:Glozman-Riska-Brown Goldstone boson exchange model based on constituent quark and Goldstone boson coupling;Fujiwara model based on constituent quark gluon coupling and Nijmegen one-boson exchange;QDCSM based on constituent quark and gluon coupling with quark delocalization and color screening.We find that the three models predicted the similar effective baryon-baryon interactions for roughly two thirds among the 64 states consisted of octet and decuplet baryons.The differences among three models and their separate characteristics are also studied.     

Kaup—Kupershmidt方程的对称代数

利用Ｍｉｕｒａ变换和Ｃｏｌｅ－Ｈｏｐｆ变换，证明了Ｋａｕｐ－Ｋｕｐｅｒｓｈｍｉｄｔ方程的１０族时间无关对称构成一个非Ａｂｅｌ李代数，与１０族对称相应的１０族方程具有共同的强对称。１０族可积模型的时间无关对称及其构成的李代数亦被给定。     

关于位势井及其对强阻尼非线性波动方程的应用

本文研究强阻尼非线性波动方程的初边值问题其中f(u)u≥0.首先用新的方法再次得到了位势井深度d的值,并首次得到了位势井内外结构.而后用位势井方法得到了问题的整体弱解,整体强解的存在性.最后证明了位势井W及井外集合V在问题(1)-(3)的流之下的不变性.