硬质合金可转位刀片周边仿形磨削方法的精度分析

本文根据仿磨原理,分别讨论了砂轮磨损和用一个标准仿形凸轮仿磨不同大小的同形非标准刀片时所产生的磨削误差及形状畸变,并导出了计算磨削误差及畸变的参数方程.     

超大规模集成电路微细加工精密工作台系统的动态响应

本文根据大规模和超大规模集成电路微细加工精密工作台的质量和刚度的实际分布情况,提出了一个多自由度系统的动力学模型,利用状态空间法求此精密工作台系统的动态运动规律,并借助电子计算机对其精确求解。     

弹性薄板大变形弯曲运动理论

本文从有限变形的观点出发,采用矩展开方法,综合考虑了弹性薄板有限变形及厚度的影响,导出了薄板大变形弯曲运动理论。由此经过不同的低阶近似,可以得到适用于小变形或忽略厚度效应的各种低阶近似薄板弯曲运动理论。     

Spectral Properties of Hamiltonians of Charged Systems in a Homogeneous Magnetic Field: I. General Characteristic of the Spectrum

We study the spectrum of Hamiltonians of charged multiparticle systems in a homogeneous magnetic field with a fixed sum P of the pseudomomentum components and without it. We prove that if P is fixed, then the spectrum of Hamiltonians is independent of the value of P , while the spectrum without fixation of P coincides with the spectrum with fixation and differs from the latter only by some additional infinite degeneration (this is a principal difference between problems with a homogeneous magnetic field and problems without any field in which the absence of any fixation of the total angular momentum results in covering the spectrum of the relative motion by a continuous spectrum). We find the continuous spectrum of the Hamiltonians and characterize the spectrum of Hamiltonians of two-cluster mutually noninteracting systems obtained by decomposing the original system in the state with a fixed value of P . The last result is necessary for the study of the purely point spectrum.     

Canonical Brownian Motion on the Diffeomorphism Group of the Circle

For infinitesimal data given on the group of diffeomorphism of the circle with respect to the metric H^3/2, the associated Brownian motion has been constructed by Malliavin (C.R. Acad. Sci. Parist.329 (1999), 325-329). In this work, we shall give another approach and prove the invariance of heat measures under the adjoint action of S¹.     

Small Ball Probabilities of Fractional Brownian Sheets via Fractional Integration Operators

We investigate the small ball problem for d-dimensional fractional Brownian sheets by functional analytic methods. For this reason we show that integration operators of Riemann–Liouville and Weyl type are very close in the sense of their approximation properties, i.e., the Kolmogorov and entropy numbers of their difference tend to zero exponentially. This allows us to carry over properties of the Weyl operator to the Riemann–Liouville one, leading to sharp small ball estimates for some fractional Brownian sheets. In particular, we extend Talagrand's estimate for the 2-dimensional Brownian sheet to the fractional case. When passing from dimension 1 to dimension d2, we use a quite general estimate for the Kolmogorov numbers of the tensor products of linear operators.     

Simulation on the Effect of Brownian Motion on Nanoparticle Trajectories in a Pulsed Microplasma Cluster Source

We describe a simulation of the nanoparticle trajectories in a pulsed cluster beam source. Clusters, formed by condensation of atomic vapor in a helium bath, and considered here as rigid spheres having a diameter of 1.5nm, were tracked during their travel inside the source cavity, an aerodynamic lens, and a cylindrical nozzle. Steady state supersonic laminar flow of helium is considered in an axi-symmetric geometry aiming to simulate, within some limitations, the conditions under which cluster formation takes place in a pulsed microplasma cluster source. In spite of the unsteady nature of the pulsed source, the time scale characterizing particle motion in the flow field is significantly smaller than the characteristic time constant for the evolution of gas pressure in the source. For this reason, a steady simulation can shed some light on the understanding of processes governing nanoparticle motion in a pulsed vaporization source. The extent to which the Brownian diffusion can affect the particle extraction from the source is investigated. Simulations have shown that the Brownian motion perturbs the clusters from the trajectories dictated by the carrier gas and increases the rate of cluster deposition on the source internal walls. However, it does not hinder the aerodynamic focalization produced by the lens even in nano-size cluster regime. This result is qualitatively confirmed by experiment.     

基于PC的SIMD技术在1／4像素精度运动预测中的应用

在最新的视频编码标准H．264／AVC中，运动预测的精度达到1／4像素。为了提高运动预测的速度，要求实现运动预测过程的SIMD并行运算，其间遇到的最大问题就是1／4像素精度参考图像的传统储存方式不适合并行操作，针对此问题提出了一种新的适合并行操作的参考图像组织方法，并采用Intel MMX和SSE技术实现了运动预测过程的SIMD并行运算，减少了整个运动预测过程消耗的时间。     

四重马氏平稳过程的非线性预测问题

假设{X（t），t∈R^1}是由广义Wiener随机积分所定义的四重马氏平稳过程．如果该随机过程{X（t），t∈R^1}被一有界Borel可测函数f（＊）变换，则得到新的随机过程，记为Y（t）=f（X（t））．作者在本文中，首先粗略地研讨了四重马氏平稳过程{X（t），t∈R^1}及其均方导数的一些概率性质．其次，对于一些构造较简单的Borel可测函数f（＊），较详细地探讨了随机过程{Y（t）=f（X（t））}的非线性均方预测问题．     

数字视频监控系统中运动检测算法及应用

运动检测是图像处理和分析系统的关键技术,本文详细阐述了数字视频监控系统中运动物体检测算法中的帧差法,该算法主要基于视频帧图像的变化分析;以及运动方向判断算法中基于视频块的匹配算法,并介绍了基于这两个算法的一个系统的实现.