Rates of Best Uniform Rational Approximation of Analytic Functions by Ray Sequences of Rational Functions

In this paper, problems related to the approximation of a holomorphic function f on a compact subset E of the complex plane C by rational functions from the class of all rational functions of order (n,m) are considered. Let ρ _n,m = ρ _n,m (f;E) be the distance of f in the uniform metric on E from the class . We obtain results characterizing the rate of convergence to zero of the sequence of the best rational approximation { ρ _n,m(n) } _n=0 ^∞ , m(n)/n → θ ∈ (0,1] as n → ∞ . In particular, we give an upper estimate for the liminf _{n →∞} ρ _n,m(n) ^1/(n+m(n)) in terms of the solution to a certain minimum energy problem with respect to the logarithmic potential. The proofs of the results obtained are based on the methods of the theory of Hankel operators. June 16, 1997. Date revised: December 1, 1997. Date accepted: December 1, 1997. Communicated by Ronald A. DeVore.     

西安地裂与地面沉降灾害投影寻踪分析预测

本文应用80年代新兴的投影寻踪技术对西安地裂与地面沉降灾害问题进行了分析预测,其结果对控制这些灾害具有一定的指导意义。     

Identifiability of kinetic models of isotope transient tracing in fixed bed plug flow reactors

A novel method is presented to address the identifiability of a class of kinetic models of monoatomic isotope transient tracing in plug flow reactors. It is shown that the identifiability of these models can be addressed solely from a knowledge of the rate functions. Dedicated to Professor Pál Tétényi on the occasion of his 70th birthday     

On Some Results Concerning the Reduite and Balayage

If J is an analytic, saturated gambling house with compact sections, and we show that there exists a (submarkovian) borel kernel P permitted in J such that μ = λP. If is a proper submarkovian resolvent on a Lusin space X, we study the regularity of the reduite R^A_s of an excesive function s on a set A ⊂ X.     

基于改进声线跟踪法的室内交通噪声动态模拟

对碰撞点的有效性判断是传统声线跟踪法的一个重要步骤,在计算复杂的室内空间问题时计算量较大,为解决这一问题采用了一种与空间剖分相结合的改进的声线跟踪法。将该方法与微观交通流仿真和车辆噪声排放模型进行结合,实现了道路交通噪声透过窗户在多连通室内空间传播的动态模拟。最后采用该方法对相同道路和交通流条件下不同建筑朝向的4种布局室内噪声进行动态模拟。分析了室内交通噪声的大小和分布与建筑物布局、窗户的朝向、窗户的形式和面积等因数之间的关系。结果表明:窗户正对道路的房间比窗户侧对道路的房间噪声高4～6 d B(A),房间内等效声级与窗户面积的对数成正比关系。     

土地利用现状变更记录存储方式的研究与应用

在频繁的土地变更过程中产生的大量历史数据对于数据挖掘分析、政府决策支持具有重要的价值.文章在传统的全状态记录模式基础上提出了更加简洁的特殊状态记录模式,减少了冗余数据的产生,简化了变更记录,同时优化了历史回溯等功能.     

Accounting for nonspecific enhancement in neuronal tract tracing using manganese enhanced magnetic resonance imaging

Manganese enhanced MRI (MEMRI) is an emerging technique for tracing neuronal pathways in vivo. However, manganese may leak into blood vessels or cerebrospinal fluid (CSF) after local injection and can be circulated to and taken up by brain regions that may not have connections to the targeted pathways. Comparing enhancement time courses after intranasal injection with intravenous infusion of MnCl₂ in rats, the early enhancements in the pituitary gland (Pit) and hippocampus indicate the contrasts in those regions in the olfactory tract-tracing experiment were caused by such systemic effects. Since the Pit has easy access to manganese from the blood and its signal is proportional to other brain regions after intravenous infusion, it was used as an internal reference for the systemic effects. Applying intensity normalization by the Pit signal to tract-tracing data from the olfactory bulb led to reduced contrast in the hippocampus. These results demonstrate that nonspecific enhancements in MEMRI tract-tracing studies may have to be taken into account and that normalization by the Pit signal can compensate these effects.     

反射式旋转对称光学系统中的偏振像差分析

为了控制反射式旋转对称光学系统中的偏振效应,对该类系统中的偏振像差进行了分析。在偏振像差理论的基础上,通过偏振光线追迹的方法,导出反射式旋转对称光学系统的偏振像差的计算公式,提出了反射界面产生的偏振像差的影响因子,对影响其偏振像差的因素进行了分析。实例分析结果表明,对于具有宽光谱、大入射角、大视场等特点的反射式旋转对称光学系统,要想提高其光学系统的性能,必须控制光学系统的偏振像差。提出尽可能减小入射角的大小,并通过薄膜设计减小偏振分离来降低系统中的偏振效应,是控制反射式旋转对称光学系统中的偏振像差的有效措施。     

线激光束均匀化整形方法研究

为解决核物理工程、表面热处理、激光加工、激光通信中传输激光束的均匀性问题,提出采用三角楔柱透镜改善线激光均匀性的新方法,并在ZEMAX开发环境下建立了整形光路系统的理论模型。利用所建立的模型,分析了整形柱透镜在不同半径、斜面夹角、透镜介质折射率等参数下光束的均匀性。研究表明：在远场条件下,通过改变整形柱透镜的参数,能够得到能量分布均匀的线激光。在实际应用中,可以采用1个半圆柱和2个相同三角楔胶合成型的简单工艺。进一步模拟发现,两种整形系统所得到的均匀度和线宽一致。     

漫反射各向异性散射介质内的温度热流场

本文采用射线踪迹结合节点分析法和谱带模型,研究了漫反射不透明边界下吸收、发射、各向异性散射介质内的热辐射传递过程。考虑介质辐射能的入射和散射方向,导出漫反射、不透明边界、各向异性散射介质的辐射传递系数。在辐射平衡的情况下,考察了表面发射率和散射反照率对介质内辐射热流和温度场的影响。研究表明,介质不透明边界处存在温度跃迁现象,而且,内界面发射率越大,相应界面温度跃迁越小。