查询词典 decomposition

In addition, we give the algorithms for generating the triangular decomposition or star-shaped decomposition for shapes.

另外，作者还给出了物体形状的三角骨架剖分和星形骨架剖分的两个算法。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题，概述了广义逆矩阵，广义逆保持问题的研究现状，在对线性映射的基础知识，广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上，深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式，继而研究了保对称矩阵群逆的线性算子形式。

In theory, the numbers of matched filter and trellis state can be redeced apparently by Laurent Decomposition.So, the complexity of iterative decoding of the SCCPM system can be reduced by using the property of Laurent Decomposition.

将Laurent分解的特性应用于SCCPM系统，理论分析可以有效地减少接收端匹配滤波器以及迭代译码网格状态的数目，明显地降低了SCCPM系统迭代译码的复杂度。

The results indicate that the decomposition of thiourea is irreversible, and the corresponding decomposition potential is 0.5 V.

结果表明：硫脲的阳极氧化分解为不可逆反应，其氧化分解峰电流对应的电势约为0.5V。

In this dissertation, the scale-up experiments of the decomposition of toluene by pulse corona discharge in wire-plate reactor were investigated systematically, at the same time, The experiments of the decomposition of refinery odors by this technology were also studied. A pulse power based on thyratron switch, Blumlein pulse forming network and pulsed transformer was adopted.

基于上述小试成果，本文主要对有机废气中的代表性污染物模拟甲苯废气，在线板式反应器内进行了系统的放大试验研究，同时将该技术应用于实用目标炼油厂模拟恶臭废气(工业上排放的恶臭废气主要是含硫含氮的挥发性有机废气)的治理。

In this paper, the theoretical analysis of matrix's triangular decomposition is mainly discussed, including such as the necessary and sufficient condition of uniqueness of existence in matrix's triangular decomposition,the necessary and sufficient condition of existence and so on.

本文主要对矩阵的三角分解理论分析作了比较全面的统述，它包括矩阵三角分解存在唯一性的充要条件、存在性的充要条件、存在性的充分条件等。

The calculation of wavelet and scalar function coefficients at the process of decomposition of triangular mesh, the choice of wavelet coefficient threshold and the calculation of scalar function coefficient at the reconstruction process are introduced in this dissertation. The multiresolution decomposition, compression and reconstruction of triangular mesh with subdivision connectivity are realized.

关于细分连续三角网格的多分辨分解、压缩与重构，本文介绍了细分连续三角网格分解过程中小波系数及尺度函数系数的计算、小波系数的阈值选取和重构过程中尺度函数系数的计算，并给予了实现，获得较好的压缩性能和质量。

In this paper, the domain decomposition method is used for the elliptical boundary problems on a pentagonal region. In every sub-domain, we solve the partial differential equations with TDQ method, namely, triangular differential quadrature domain decomposition method.

为求解五边形上的椭圆型微分方程边值问题，我们借助了区域分裂法(domain decomposition method，简称DDM)，将大区域分成几个小区域，在每个小区域上，用TDQ方法，这种方法我们称之为三角微分求积区域分裂法(triangular differential quadrature domain decomposition method，简称TDQDDM)。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

Owing to Wei-Norman decomposition＇s application being confined in a little time area, in order to obtain the Unitary evolution matrix at any time, a small division of time is proposed in this paper, and Wei-Norman decomposition is used in every small division to obtain the unitary evolution.

由于Wei-Norman分解适用的范围是小时间变化的邻域，为了求出量子系统在任意时刻的幺正演化矩阵，根据量子系统的特性，提出了对量子系统的控制时间进行分段，利用Wei—Norman分解来获得每段小时间的幺正演化矩阵。

Who? I never heard of him, Paul said, before asking teammate James Posey if he had heard of him.

赛后，科比说，他一直都是一名非常出色的射手，今天他打得很棒。

When I joined the company, I rotated around the different sections.

我加入这个公司时，轮换过几个不同的部门。