Projector formalism of generalized Brownian motion theory applied to dissipative and noisy systems

The projector formalism of Zwanzig-Mori type is extended to obtain generalized Fokker-Planck and generalized nonlinear Langevin equations for coarse-grained variables when the underlying microscopic dynamics is dissipative and noisy (stochastic).     

三片式液晶投影仪的立体视觉研究

基于对三原色信号进行偏振特性的分析,提出了一种在三片式液晶投影显示设备上实现立体显示的新方法。该方法利用红色和蓝色信号光与绿色信号光在偏振方向上正交的特性,在信号通道之间引入视差,实现了三维立体显示。因此这种方法被称为补色偏振体视。介绍了该方法的基本原理,并详细叙述了用PHOTOSHOP软件制作补色偏振立体图对的方法。     

The PDE-preserving operators on nuclearly entire functions of bounded type

The PDE-preserving operators O on the space of nuclearly entire functions of bounded type H_Nb(E) on a Banach space E are characterized. An operator is PDE-preserving when it preserves homogenous solutions to homogeneous convolution equations. We establish a one to one correspondence between O and a set Σ of sequences of entire functionals, i.e. exponential type functions. In this way, algebraic structures on Σ, such as ring structures, can be carried over to O and vice versa. In particular, it follows that O is a non-commutative ring (algebra) with unity with respect to composition and the convolution operators form a commutative subring (subalgebra). We discuss range and kernel properties, for the operators in O, and characterize the projectors (onto polynomial spaces) in O by determining the corresponding elements in Σ. This revised version was published online in June 2006 with corrections to the Cover Date.     

声光栅正弦结构光投射器的光学系统设计

针对一种新型的声光波干涉测量技术,对声光栅正弦结构光投射器的三维测量工作原理进行了系统的分析,讨论了影响投射器光学系统结构的因素和影响接收屏上的光照度的因素,并进行了光学系统设计。在优化设计过程中,采用了限制光线最大入射角的方法,达到控制投射系统的球差和保证接收屏上照明均匀的要求。所设计的声光栅正弦光投射器具有很好的成像质量。应用该系统对在500mm处的石膏像上投射干涉条纹,可以得到能量比较均匀、变形量很小的干涉条纹图,利用该条纹图和相关的算法可以对具有复杂几何形状的物体进行有效的三维测量。     

Calderon Projector for the Hessian of the Perturbed Chern-Simons Function on a 3-Manifold with Boundary

The existence and continuity for the Calderón projectorof the perturbed odd signature operator on a 3-manifold is established.As an application we give a new proof of a result of Taubesrelating the modulo 2 spectral flow of a family of operatorson a homology 3-sphere with the difference in local intersectionnumbers of the character varieties coming from a Heegard decomposition.2000 Mathematics Subject Classification 57M27 (primary), 58J32(secondary).     

投影器的标定方法

随着近景摄影测量的发展,投影器的使用越来越频繁和广泛。为了更好地使用和充分地利用投影器,需要求解投影器的内方位元素,即对投影器进行标定。提出了一种方便有效的投影器标定的方法。只需要一架投影器、一部数码相机、一个平面格网和一台计算机,设备的连接和使用相对方便灵活。基于近景摄影测量的理论,结合二维直接线性变换(2D-DLT)和共线方程,运用图像处理的方法,利用光束法平差对投影器进行标定。实验及其结果证明了该标定方法的正确性和有效性。     

Uncomplemented subspaces of Lorentz spaces

In the paper we construct a system of bounded functions which generates an uncomplemented subspace in the Lorentz space Λ(α) for all α∈(0,1). Lower bounds of the norms of the projector onto such subspaces are obtained. Translated fromMatematicheskie Zametki, Vol. 68, No. 1, pp. 57–65, July, 2000.     

关于右拟线性内逆与拟线性投影的关系

讨论线性变换T的拟线性内逆与拟线性投影的关系.证得拟线性内逆M与T的零空间N(T)上的拟线性投影P及T的值域R(T)上的拟线性投影Q之间是1-1对应的,且满足P=I-MT,Q=TM.     

Factorial orthogonality in the presence of covariates

Summary The present paper obtains necessary and sufficient conditions for factorial orthogonality in the presence of covariates. In particular, when interactions are absent, combinatorial characterizations of the conditions, as natural generalizations of the well-known equal and proportional frequency criteria, have been derived.     

一次教学实验仪器更新的尝试

探讨了教学实验仪器所面临的更新换代的新形势，结合视频光学投影比工主的研制论述更新的原则和方法。