De Sitter空间中紧致类空超曲面的积分公式及其Goddard猜想的应用

本文对ｄｅＳｉｔｅｒ空间Ｓｎ＋１１（１）中紧致类空超曲面建立Ｍｉｎｋｏｗｓｋｉ型公式，并给出其到ｒ－次（ｒ＝１，２，…，ｎ－１）平均曲率为常数超曲面的应用．当ｒ＝１时，我们得到Ｍｏｎｔｉｅｌ的结果．     

一类有条件异方差的非线性自回归模型的高阶矩

本文对一类非线性时间序列模型ｘｔ＝φ（ｘｔ－１，…，ｘｔ－ｐ）＋εｔｈ（ｘｔ－１，…，ｘｔ－ｐ）给出了高阶矩的存在条件。     

一般增长曲线模型参数阵的BLU估计

考虑一般增长曲线模型：Ｙ＝Ｘ１ＢＸ２＋εＥ（Ｖｅｃ（ε））＝０Ｖ（Ｖｅｃ（ε））＝σ２ＶＩｎ（Ｖ０）本文对任一可估函数ＫＢＬ给出了它的ＢＬＵ估计（最佳线性无偏估计），并得到了方差σ２的一个无偏估计．     

Structural and optical properties of CuSe2 nanocrystals formed in thin solid Cu–Se film

This paper describes the structural and optical properties of Cu–Se thin films. The surface morphology of thin films was investigated by atomic force microscopy (AFM) and scanning electron microscopy (SEM). Formation of Cu–Se thin films is concluded to proceed unevenly, in the form of islands which later grew into agglomerates. The structural characterization of Cu–Se thin film was investigated using X-ray diffraction pattern (XRD). The presence of two-phase system is observed. One is the solid solution of Cu in Se and the other is low-pressure modification of CuSe₂. The Raman spectroscopy was used to identify and quantify the individual phases present in the Cu–Se films. Red shift and asymmetry of Raman mode characteristic for CuSe₂ enable us to estimate nanocrystal dimension. In the analysis of the far-infrared reflection spectra, numerical model for calculating the reflectivity coefficient of layered system, which includes film with nanocrystalite inclusions (modeled by Maxwell-Garnett approximation) and substrate, has been applied.     

The problem of dependent evidence

It is appropriate to use Dempster's rule for combining belief functions only if the belief functions combined are based on independent items of evidence. What can be done in the case of dependent evidence? Often the answer is to reframe the problem. Three examples are given: one from everyday experience, one from probabilistic relaxation, and one from expert systems.     

静息态脑功能连接在不同认知状态老年人中的应用

目的探讨不同认知状态老年人静息态脑功能连接情况。方法收集阿尔茨海默病患者（AD组）13例、轻度认知功能障碍患者（MCI组）12例、认知正常老年人（对照组）13例，进行磁共振扫描，应用局部一致性（ReHo）方法确定种子点，并进行静息态功能连接分析。结果在静息状态下，AD组和MCI组患者的后扣带回区域、额叶内侧、前额叶背外侧和顶叶部分区域的ReHo均较高。与对照组相比，MCI患者左侧颞叶（颞下回及颞中回）、海马旁回及右侧枕叶舌回、皮层下的部分脑区ReHo显著降低；而右侧额叶（额上回、额中回及中央前回）、顶上小叶及左侧梭状回、颞上回、额下回的部分脑区ReHo显著增高。AD患者变化更加明显，额叶-顶叶，颞叶-脑岛，颞叶-枕叶之间的长距离连接降低，但是额叶内部和枕颞间、丘脑及颞叶间的功能连接增高，3组间差异有统计学意义（P＜0.05）。结论3组不同认知状态老年人的功能连接不同，有助于AD、MCI患者及正常老年人的鉴别诊断。     

Shock cooling of liquid nitrogen and superfluid helium

Abstract

Superfluid Helium (11) and liquid nitrogen are the only liquids which have been shown experimentally, to exhibit shock cooling. In the present paper we use the Landau model to demonstrate theoretically that the roton gap, which decreases with increasing density, plays the same role leading to shock cooling in liquid helium as the dissociation energy does in liquid nitrogen.     

Noether's Theorem on Surfaces

In this article we prove a version of Noether's Theorem (of Calculus of Variations) which is valid for a general regular (compact) surface. As a special feature, the Lie group of transformations is allowed to act on the Cartesian product of the surface and the functional space. Additionally, we apply the Theorem to a problem in Classical Differential Geometry of surfaces. The given application is actually an example showing how Noether's Theorem can be used to construct invariant properties of the solutions to variational problems defined on surfaces, or equivalently, of the solutions to the associated Euler-Lagrange equations resulting from them.     

粒度空间约简及其粗糙集模型研究

针对交可约粒度空间中覆盖、基和粒结构的关系,结合偏序关系的哈斯图,给出一种约简粒度空间的方法.另外,通过限定上、下近似算子的取值范围,重新定义了交可约粒度空间上的粗糙集模型,并讨论了其相关性质.