对性质(ω)等价性的研究

性质(ω)是Weyl定理的一种变形.文章中将算子的一致Fredholm指标性质用于性质(ω)的判定中.根据一致Fredholm指标性质定义出一种新的谱集,通过该谱集和算子的拓扑一致降标之间的关系,给出了有界线性算子与其共轭算子同时满足性质(ω)的充要条件.之后,研究了算子矩阵的(ω)性质.     

基于集成综合评价法和聚类分析法的综合评价方法

针对传统的主成分分析法在数据无量纲化中"中心标准化"的缺点,提出了改进的主成分分析方法,并建立了一种基于集成综合评价法和聚类分析法的新的综合评价方法,通过黑龙江省各城市综合竞争力的统计分析结果说明该方法能有效的得出合理结果.     

Thermochemical and Toxic Element Behavior during Co-Combustion of Coal and Municipal Sludge

The thermochemical and kinetic behavior of co-combustion of coal, municipal sludge (MS) and their blends at different ratios were investigated by thermogravimetric analysis. Simulation experiments were performed in a vacuum tube furnace to determine the conversion behavior of toxic elements. The results show that the combustion processes of the blends of coal and municipal sludge are divided into three stages and the combustion curves of the blends are located between those of individual coal and municipal sludge samples. The DTG_max of the sample with 10% sludge addition reaches a maximum at the heating rate of 20 °C/min, indicating that the combustion characteristics of coal can be improved during co-combustion. Strong interactions were observed between coal and municipal sludge during the co-combustion. The volatilization rates of toxic elements decrease with an increasing proportion of sludge in the blends during co-combustion, which indicates that the co-combustion of coal and sludge can effectively reduce the volatilization rate of toxic elements. The study reflects the potential of municipal sludge as a blended fuel and the environmental effects of co-combustion of coal and municipal sludge.     

基于发射光谱诊断的低温等离子体技术转化N2/NO气氛中NO的研究

建立了低温等离子体技术处理N₂/NO气氛中NO的实验系统,利用介质阻挡放电发射光谱诊断法分析了NTP技术处理NO的反应机理,以及研究了NTP系统的运行参数和N₂体积流量对NO转化率的影响规律。研究结果表明,随着V（_P-P）的增加,N₂发射光谱强度相对于NO发射光谱强度的比值增加,N₂第二正带系发射光谱强度增加,表明放电区间的高能电子浓度增大,有利于N₂离解成N原子,从而促使NO还原转化;增加N₂体积流量会使NO转化率降低,NO₂浓度升高。     

仿长耳鸮翼型的参数化研究

以长耳鸮翼型为仿生原型,采用逆向工程方法提取鸮翼翼型下表面特征点并利用B样条曲线进行拟合建立鸮翼仿生重构模型。通过数值求解耦合Langtry-Menter SST模型的雷诺时均Navier-Stokes方程,研究了仿生翼型的前缘弧线曲率、前缘厚度、前端倾角、翼型中部下表面曲率以及尾部厚度等参数对翼型升阻比的影响,获得了一种能有效抑制大攻角下流动分离发生的仿生翼型。正交试验结果表明:翼型前缘厚度对仿生翼型的升阻比影响最大,随着翼型前缘厚度的减少,翼型升阻比增加;翼型下表面中部曲率和翼型尾部厚度均存在最优值使仿生翼型升阻比最大。     

红外低温相机视轴引出方法

测量红外低温相机的系统调制传递函数(MTF)需要借助于低温平行光管。由于红外低温相机探测器在常温下无法正常工作,并且红外低温相机、低温平行光管离轴抛物镜以及模拟靶标三者是空间分离的,因此实验前需要将相机的视轴引出到平行光管的视轴方向,同时将模拟靶标调整到平行光管焦面位置且靶标中心处于平行光管的中心视场。借助于干涉仪,利用经纬仪分别将相机视轴和平行光管视轴引出到外基准立方镜a和b,通过两立方镜坐标系的方向余弦矩阵关系,将红外低温相机的视轴引出到低温平行光管的视轴方向。对视轴引出精度进行了分析,给出了实验采集的图像。实验结果表明,系统MTF满足要求,同时表明红外低温相机视轴引出方法合理可行。     

Local hydrated structure of an Fe2+/Fe3+ aqueous solution: an investigation using a combination of molecular dynamics and X-ray absorption fine structure methods

The hydrated shell of both Fe2+ and Fe3+ aqueous solutions are investigated by using the molecular dynamics (MD) and X-ray absorption structure (XAS) methods. The MD simulations show that the first hydrated shells of both Fe2+ and Fe3+ are characterized by a regular octahedron with an Fe-O distance of 2.08 for Fe2+ and 1.96 for Fe3+, and rule out the occurrence of a Jahn-Teller distortion in the hydrated shell of an Fe2+ aqueous solution. The corresponding X-ray absorption near edge fine structure (XANES) calculation successfully reproduces all features in the XANES spectra in Fe2+ and Fe3+ aqueous solution. A feature that is located at energy 1 eV higher than the white line (WL) in an Fe3+ aqueous solution may be assigned to the contribution of the charge transfer.     

A computationally efficient state-space partitioning approach to pricing high-dimensional American options via dimension reduction

This paper studies the problem of pricing high-dimensional American options. We propose a method based on the state-space partitioning algorithm developed by Jin et al. (2007) and a dimension-reduction approach introduced by Li and Wu (2006). By applying the approach in the present paper, the computational efficiency of pricing high-dimensional American options is significantly improved, compared to the extant approaches in the literature, without sacrificing the estimation precision. Various numerical examples are provided to illustrate the accuracy and efficiency of the proposed method. Pseudcode for an implementation of the proposed approach is also included.     

S~(n+1)上具有三个互异常仿Blaschke特征值的超曲面

设x∶M→S⁽ⁿ⁺¹⁾是(n+1)-维单位球面上不含脐点的超曲面.在S(n+1)是(n+1)-维单位球面上不含脐点的超曲面.在S⁽ⁿ⁺¹⁾的Mbius变换群下浸入x的四个基本不变量是:Mbius度量g;Mbius第二基本形式B;Mbius形式φ和Blaschke张量A.对称的(0,2)张量D=A+λB也是Mbius不变量,其中λ是常数.D称为浸入x的仿Blaschke张量,仿Blaschke张量的特征值称为浸入x的仿Blaschke特征值.如果φ=0,对某常数λ,仿Blaschke特征值为常数,那么超曲面x∶M→S(n+1)的Mbius变换群下浸入x的四个基本不变量是:Mbius度量g;Mbius第二基本形式B;Mbius形式φ和Blaschke张量A.对称的(0,2)张量D=A+λB也是Mbius不变量,其中λ是常数.D称为浸入x的仿Blaschke张量,仿Blaschke张量的特征值称为浸入x的仿Blaschke特征值.如果φ=0,对某常数λ,仿Blaschke特征值为常数,那么超曲面x∶M→S⁽ⁿ⁺¹⁾称为仿Blaschke等参超曲面.本文对具有三个互异仿Blaschke特征值(其中有一个重数为1)的仿Blaschke等参超曲面进行了分类.