查询词典 triangular decomposition

And three special kind of triangular decomposition is introduced. In addition, the calculation of matrix's triangular decomposition and the application on matrix's triangular decomposition are detailedly discussed.

并介绍了三类特殊矩阵的三角分解，且对矩阵三角分解的计算及应用作了较详细的论述。

To one quaternion matrix, according to its normal form, into which a quaternion matrix is transformed after decomposed, the types of decomposition of a quaternion matrix are divided into three large classes: diagonalized decomposition, triangular decomposition and triangular-diagonalized decomposition.

对单个四元数矩阵，以分解后的四元数矩阵的标准型作为分类的标准，将四元数矩阵的分解分为三大类：对角化分解、三角化分解、三角一对角化分解。

In this article, several common matrix decomposition theory and its applications was put forward, such as triangular decomposition, QR decomposition, the full rank decomposition, SVD and so on.

本文给出了几种较常见的矩阵分解理论及其应用。如三角分解，QR分解，满秩分解，奇异值分解等。

In the one half part, according to the strontium nature, thermodynamic calculation of correlative reaction and the principle of the vacuum aluminothermy reduction process, with the laboratory findings of preparation strontium by vacuum aluminothermy reduction compared and analyzed in different parameter conditions, a variety of factors which effect the decomposition rate of SrCO_3 and the percent reduction of strontia are gotten out. The factors include that the decomposition rate of SrCO_3 is influenced by different addition and pressure. They also include that the percent reduction of strontia is influenced by excess coefficient of reducing agent aluminium powder, the particle size of raw material or reducing agent, the pressure of barbecuing, temperature and reduction time. According to those, we can draw the conclusion as follows:(1) Decomposition temperature of SrCO_3 is decreased by adding carbon and alumina in different degree.(2) With quantitative carbon added under the vacuum condition, the decomposition temperature of SrCO_3 is decreased obviously, which can fall 150℃ compared with atmospheric pressure.(3) In keeping 1150℃ of 2.5h, under the 5Pa vacuum condition, the decomposition rate of SrCO_3 nearly keeps in 99% steadily.

在前半部分的真空铝热还原法中，根据锶的性质、相关反应的热力学计算及真空铝热还原法原理，通过对不同参数条件下的真空铝热还原法生产金属锶的实验结果的分析比较，得出了影响SrCO_3的分解率和氧化锶的还原率的种种因素，具体因素包括不同添加剂、不同气压对SrCO_3分解率的影响，还原剂铝粉的过量系数、原料与还原剂的粒度、制团压力、温度和还原时间等对氧化锶还原率的影响，得出具体结论如下：(1)添加碳和Al_2O_3能不同程度的降低SrCO_3的分解温度；(2)真空条件下加入一定量的碳可显著降低SrCO_3的分解温度，比之常压下可降低150℃之多；(3)在1150℃恒温2.5h、真空度达到5Pa的条件下，SrCO_3的分解率几乎保持稳定在99％；(4)氧化锶的还原率随还原剂过量系数的增大而增大，但是趋势越来越小，当过量系数超过25％后，氧化锶的还原率几乎不再增加；(5)氧化锶的还原率随原料与还原剂的粒度的变细而增加；(6)氧化锶的还原率随制团压力的增加而增加，但超过一定值后，氧化锶的还原率反而会下降；(7)氧化锶的还原率随还原温度的升高而增加；(8)氧化锶的还原率随还原时间延长而增加，在本实验条件下，超过2.5h趋于稳定。

Two above methods are generalized to tensor product Bézier surfaces and triangular Bézier surfaces, we give two approaches of degree reduction for tensor product Bézier surfaces, each of which reduces a given degree n×m tensor product Bézier surface to a n〓×m〓 one, and two methods of degree reduction for triangular Bézier surfaces, which reduce a given degree n triangular Bézier surface to a degree m one. The explicit formulas of control points for reduced tensor product and triangular Bézier surfaces are obtained respectively.

张量积Bézier曲面的两种降阶方法均可把n×m阶张量积Bézier曲面一次降阶为n〓×m〓阶张量积Bézier曲面；三角Bézier曲面的两种降阶方法均可把n阶三角Bézier曲面一次降阶为m阶三角Bézier曲面，并给出降阶张量积Bézier曲面和降阶三角Bézier曲面控制顶点的显示表示式。

This paper proves the advantages of triangular decomposition through compare triangular decomposition to Gaussian elimination .

通过把三角化分解法与高斯消元法进行比较，说明三角化分解法的优点。

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。

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。

Matrix's triangular decomposition is the simplest and most basic kind of decomposition in matrix decomposition .

矩阵的三角分解是矩阵分解中最简单、最基础的一种。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。