非常极凸空间的推广及其对偶概念

本文研究了k非常极凸和k非常极光滑空间的问题.利用Banach空间理论的方法,证明了k非常极凸空间和k非常极光滑空间是一对对偶概念,并且k非常极凸空间(k非常极光滑空间)是严格介于k一致极凸空间和k非常凸空间(k一致极光滑空间和k非常光滑空间)之间的一类新的Banach空间,得到了k非常极凸空间和k非常极光滑空间的若干等价刻画以及k非常极凸(k非常极光滑性)与其它凸性(光滑性)之间的蕴涵关系,推广了非常极凸空间和非常极光滑空间,完善了k非常极凸空间及其对偶空间的研究.     

性质(u)在序列空间ces_p(E_n)中的提升

主要研究了性质(u)从Banach空间En到序列空间cesp(En)的提升问题.     

Banach序列空间Cesp（E）的范数粗性

本文讨论了Banach序列空间Cesp(E)的范数粗性,得到了其范数强粗、粗的几个结果。     

AMD中Gogny核子-核子相互作用势对原子核基态性质的影响

在反对称化的分子动力学(AMD)模型中，分别采用g0、g0as和g0ass三套Gogny相互作用参数研究了4He、6Li、12C、20Ne、40Ca和60Ni的结合能和均方根半径在自身平均场中随时间的涨落。系统地研究了原子序数从1到18的同位素的结合能，并与现有实验数据进行比较，发现g0的结果更接近实验值。这为利用AMD研究低能区的熔合和中能区的多重碎裂等核反应机制提供了基础。     

A Class of Rumor Spreading Models with Population Dynamics

Based on the characteristics of rumor spreading in online social networks, this paper proposes a new rumor spreading model. This is an improved SIS rumor spreading model in online social networks that combines the transmission dynamics and population dynamics with consideration of the impact of both of the changing number of online social network users and different levels of user activity. We numerically simulate the rumor spreading process. The results of numerical simulation show that the improved SIS model can successfully characterize the rumor spreading behavior in online social networks. We also give the effective strategies of curbing the rumor spreading in online social networks.     

Orlicz空间的若干紧一致凸性和k-drop凸性

给出赋Luxemburg范数的Orlicz函数空间的紧一致凸、弱紧一致凸、紧局部一致凸、弱紧局部一致凸和k-drop凸的判据,并且据此得到在Orlicz函数空间中这些凸性的等价关系.     

k-super-strongly convex and k-super-strongly smooth Banach spaces

In this paper, we introduce two types of new Banach spaces: k-super-strongly convex spaces and k-super-strongly smooth spaces. It is proved that these two notions are dual. We also prove that the class of k-super-strongly convexifiable spaces is strictly between locally k-uniformly rotund spaces and k-strongly convex spaces, and obtain some necessary and sufficient conditions of k-super-strongly convex space (respectively k-super-strongly smooth space). Also, for each k?2, it is shown that there exists a k-super-strongly convex (respectively k-super-strongly smooth) space which is not (k−1)-super-strongly convex (respectively (k−1)-super-strongly smooth) space.     

二次对偶空间的k-光滑性特性

深入研究了Banach空间X的二次对偶空间的k-光滑性,给出了Banach空间X的二次对偶空间为k-光滑的若干特征刻画.     

BC501A液体闪烁体对γ射线的光输出响应

研究了对BC501A液体闪烁体对γ射线的光输出响应特性。实验上利用γ放射源(60Co,137Cs)测量了不同光电倍增管高压下,尺寸为Φ5.08 cm×5.08 cm的BC501A液体闪烁体探测器的脉冲幅度谱。利用Geant4软件进行模拟,计算结果与实验数据很好地符合,得到了能量分辨函数及能量刻度曲线。利用Geant4研究了BC501A的脉冲幅度谱的康普顿边缘Ec、康普顿峰Emax及康普顿半高点E1/2与能量分辨率的关系。同时模拟结果显示,随γ射线能量(0.2～3 Me V)的增加,康普顿边缘位置Nc/Nmax从0.8至0.7线性减少。     

BC501A中子探测器的能量刻度及其在聚乙烯中子学积分实验中的应用

利用标准放射伽玛源（22Na,137Cs）测量了尺寸为Φ5.08 cm×2.54 cm的BC501A中子探测器的脉冲幅度谱,并利用MCNP软件进行了模拟,详细考虑了探测器的几何尺寸、材料、以及能量分辨函数,计算结果很好地再现了实验数据,精确地确定了康普顿边缘的位置,完成了BC501A中子探测器的能量刻度。并采用14.8 MeV的T（d,n）4He中子源对聚乙烯样品开展了中子学积分实验,结果表明,BC501 A中子探测器的能量刻度过程以及聚乙烯中子学积分实验数据的处理过程是完全合理并且可靠的。The pulse-height spectra of the BC501A scintillator (Φ5.08 cm×2.54 cm) were measured using 22Na, 137Cs γ-ray source, in which MCNP simulation was applied. The simulated pulse-height spectra show a good agreement with the measured data considering the geometry, material and energy resolution function of the scintillator. The position of the Compton edge has been precisely determined and an accurate energy calibration of BC501A scintillator was also achieved. An neutronics integral experiment of polythene with 14.8 MeV T(d, n)4He neutron source was carried out. The results indicate that the procedures of the energy calibration experiment of BC501A scintillator and the data analyzing in the polythene integral experiment are reasonable and reliable.