查询词典 Penrose

Can we be sure that the world we experience is not just a figment of our imaginations, asks Roger Penrose

我们能够确定我们生活的这个世界不是我们想像编造出来的吗？

In this chapter,using Newman-Penrose formulism,we reduce the Einstein-Maxwell equations to a Sturm-Liouville style two order ordinarydifferential equation and give a new way to construct distribution valued solutions ofthe gravitational field.

利用这一结果，我们还给出了一种构造引力场分布解的方法。

The weighted Moore-Penrose inverse is a special generalized inverse which is an important basic tool in many branches of mathematics and has extensive applications in other fields such as economics, information processing, automatic control, etc. Recently, the study of generalized inverse of matrices associating with more general algebra such as ring, semiring and so on generalize the theory and methods of generalized inverse deeply and characterize the structure of algebra as well.

加权Moore-Penrose逆是一种特殊的广义逆，它不仅是许多数学分支的基本工具，而且在经济学、信息处理、自动控制等其他领域有着广泛的应用，近年来，结合环、半环等更一般的代数系统的矩阵广义逆的研究，不仅将广义逆的理论和方法作了更加深入的推广，而且也成了刻画代数结构的有力工具。

Some formulas of the weighted Moore-Penrose generalized inverse of the sum of two matrices are given under two different kinds of conditions, related existing results are extend and modified with a sample and direct proof method.

在两种情形下，利用矩阵的加权Moore-Penrose逆导出了两矩阵和的加权Moore-Penrose逆的公式，其推导证明简洁而直接，文中还给出两矩阵可以同时加权奇异值分解的充要条件，指出了J.K。

Making use of the elementary matrix form of stereohomology, this work presents a theoretical framework with the approximately axiomatized form in computer graphics especially the three dimensional reconstruction based on homogeneous coordinates, and the analytical forms of projection and reconstruction with generalized meaning have been obtained, in which the Moore-Penrose pseudo-inverse of the camera matrix is employed.

通过给出的中心投影和平行投影等的解析解，提出计算机图形学、尤其是三维重建方面，基于齐次坐标表象的公理化的理论框架，并由此得到采用Moore-Penrose广义逆的、具有较为一般意义的投影与重建过程的解析表达式。

The research of this thesis focuses on spectral complements of operator matrices, the Moore-Penrose inverse and Drazin inverse of projections in a C~*-algebra, Weyl theorem and infimum and generalized infimum of quantum effects on a Hilbert space.

本文研究内容涉及Hilbert空间中算子矩阵的谱补、C~*代数上投影算子的Drazin逆及Moore-Penrose逆、Banach空间上算子的Browder定理和Weyl定理、Hilbert空间中量子效应的下确界和广义下确界四个方面的内容。

In this paper, the influence of error propagation on soft demodulation in coded MIMO system is analyzed in detail. Besides, based on the thought of soft symbol interference cancellation, Iterative Channel Soft Information for coded MIMO system is further deduced and proved to have the same form as the inverse of row norm of Moore-Penrose inverse of channel matrix.

摘要该文针对编码MIMO系统，分析了MIMO检测过程中串行干扰删除引入的误差传播对软解调的影响，同时，借鉴软符号干扰消除的思想，推导出该系统中迭代信道软信息(Iterative Channel Soft Information， ICSI)的计算方法，并证明了该信道软信息等价于信道矩阵广义逆的行范数的倒数。

This method doesn't compute the Moore-Penrose inverse of image Jacobian.

这种方法无需计算雅可比矩阵伪逆。

Generalized Bott-Duffin inverse; Moore-Penrose inverse; operator matrix quantum effect; sequential product

基础科学，数学，数学分析广义Bott-Duffin逆；广义逆；算子矩阵；量子效应；序列积

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。