A Deformation-Theoretical Approach to Weyl Quantization on Riemannian Manifolds

By using a sheaf-theoretical language, we introduce a notion of deformation quantization allowing not only for formal deformation parameters but also for real or complex ones as well. As a model for this approach to deformation quantization, we construct a quantization scheme for cotangent bundles of Riemannian manifolds. Here, we essentially use a complete symbol calculus for pseudodifferential operators on a Riemannian manifold. Depending on a scaling parameter, our quantization scheme corresponds to normally ordered, Weyl or antinormally ordered quantization. Finally, it is shown that our quantization scheme induces a family of pairwise isomorphic strongly closed star products on a cotangent bundle.     

弱1—凸对策及其解的性质

本文提出了一类特殊的ｎ人合作对策模型─—弱１—凸对策，研究了弱１—凸对策的解的性质，并证明弱１—凸对策的解满足所有常见的公理化特征．     

椭圆偏振光理论中一个问题的证明

本文从椭偏光合矢量旋转角速度Ω的表达式出发，对只有沿椭圆长、短轴方向的椭偏光合矢量间的相位差才为的难点给出了证明     

η-Invariant and Flat Vector Bundles

Abstract We present an alternate definition of the mod Z component of the Atiyah-Patodi-Singer η invariant associated to (not necessary unitary) flat vector bundles, which identifies explicitly its real and imaginary parts. This is done by combining a deformation of flat connections introduced in a previous paper with the analytic continuation procedure appearing in the original article of Atiyah, Patodi and Singer. * Project supported by the Cheung-Kong Scholarship of the Ministry of Education of China and the 973 Project of the Ministry of Science and Technology of China. (Dedicated to the memory of Shiing-Shen Chern)     

物质纯重力场部分的能量-动量张量研究

认为物质的质量(能量)存在形式可分为两部分，一部分是以纯物质形式存在的，另一部分是以纯重力场形式存在的.物质质量(能量)这两种形式各自对应着相应的能量 动量张量，物质总的能量-动量张量可表示为Tμν=T(Ⅰ)μν+T(Ⅱ)μν,这里，T(Ⅰ)μν，T（Ⅱ）μν分别代表物质纯物质部分和纯重力场部分的能量-动量张量.通过类比电磁理论，定义：ωμ≡-c2gμ0/g00,并引入一个反对称张量Dμν=ωμ/xν-ων/xμ，则物质纯重力场部分的能量-动量张量为T(Ⅱ)μν=(DμρDρν-gμνDαβDαβ/4 关键词： 能量-动量张量 纯重力场 重力场方程 标量重力势 矢量重力势     

基于图像分割应用于临床上检测HP的一种快速算法

研究了利用图像分割技术,去辨别染色后的胃部切片是否有HP(Helicobacter Pylori幽门螺旋菌),并给出了一种二维直方图与FCM(Fuzzy Clustering模糊聚类)相混合的图像分割方法.运用色彩特征抽取技术,可以更加精确和快捷地识别HP.     

言语交际中的模糊语言及其语用分析

借助题旨情境，模糊语言在言语交际中十分活跃，语用灵活，可使言语表达更加有效、更加睿智、更加委婉、更加灵活。应结合语境并随语随文来剖析其表象，阐释其语义，体会其言外之意和弦外之乐。     

猪传染性胃肠炎病毒聚合酶基因反义RNA对病毒的抑制作用

通过PCR扩增出猪传染性胃肠炎病毒(TGEV)聚合酶部分片段,反向插入逆转录病毒表达载体pLXSN中,用脂质体法将重组质粒plxas-pol转染PA317细胞,经抗生素G418筛选出稳定的产毒细胞克隆,分别扩大培养后,取其上清液感染小鼠成纤维细胞NIH3T3,细胞克隆产生的重组病毒效价达9.0×105CFU/mL。用高效价假病毒感染IBRS2细胞,再经抗生素G418筛选,提取细胞克隆总RNA,经RT-PCR证明plxas-pol整合入IBRS2细胞。以TGEV感染IBRS2细胞和具有抗性的IBRS2细胞所产生的细胞病变为指标,证明该反义RNA对病毒有明显抑制作用,抑制率约为80%。用2×103和4×102TCID50/mL剂量的TGEV感染时,引起细胞死亡的时间分别为21 h和27 h,与对照组相比,抗性细胞系可明显延迟因病毒感染引起细胞死亡的时间。     

Non-Parametric Regression Methods

The nature of the financial time series is complex, continuous interchange of stochastic and deterministic regimes. Therefore, it is difficult to forecast with parametric techniques. Instead of parametric models, we propose three techniques and compare with each other. Neural networks and support vector regression (SVR) are two universally approximators. They are data-driven non parametric models. ARCH/GARCH models are also investigated. Our assumption is that the future value of Istanbul Stock Exchange 100 index daily return depends on the financial indicators although there is no known parametric model to explain this relationship. This relationship comes from the technical analysis. Comparison shows that the multi layer perceptron networks overperform the SVR and time series model (GARCH).