查询词典 triangular matrix

In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied. By using Petersen's Theorem about 1-factor, we first prove that for a near-triangulation on the orientable surface, its geometry dual graph has a 1-factor; then after a procedure of operation leaded by the 1-factor, we show that if a graph G triangulates some orientable surface S_g, then G has a near-triangular embedding in S_h for h = g,g + 1,...,β(G/2」, where β is the Betti number of G. Hence we obtain a conclusion: A near-triangulation of the orientable surface is upper-embeddable. As a generalization, a class of near-quadrangulation is studied, and similar results are obtained.

本文首先研究了近三角剖分图的可定向曲面嵌入性质，通过运用Petersen关于1-因子的定理，首先证明了对于可定向曲面上的三角剖分图，其几何对偶图具有1-因子；然后在1-因子的导向下，通过做一系列增加亏格的手术，证明了如果一个图G三角剖分可定向曲面S_g，那么G可以近三角剖分可定向曲面S_h，这里h=g，g+1，…，「β(G／2」，β是指图G的Betti数，从而得出推论：可定向曲面上的三角剖分图是上可嵌入的，作为推广，又研究了一类近四角剖分图的可定向曲面嵌入性质，并得到类似的结论。

The first is how to determine boundary curve of surface in triangular domain and after deducing, simultaneous equations is proposed in the dissertation. The second is how to determine the coupling parameter. The third is present simultaneous equations in order to obtain G1 continuous considering the continuity between two triangular patches and the fitness rules.

具体的工作体现在三个方面：一是对拟合条件下的三角域曲面边界线的确定，本文经过推演给出了求解方程组；二是对耦合参数的确定；三是在考虑相邻两片三角域曲面连续性的同时将拟合的规则纳入，给出了求解方程组以达到G 1连续。

Let R be an arbitrary commutative ring with identity, gl the general linear lie algebra over R consisting of all n × n matricesover R and with the bracket operation = xy -yx, t the lie subalgebraof gl consisting of all n×n upper triangular (resp., strictly upper triangular ) matrices over R and d the lie subalgebra of gl consisting of all n×n diagonal matrices over R.

在第三章中，对R是交换环的情形，讨论了典型李代数的导子代数的结构问题：设R是一个含幺交换环，gl是R上一般线性李代数。t是gl的所有n阶上三角矩阵(相应地，严格上三角矩阵)构成的子代数，d是gl的所有n阶对角阵构成的李代数。

Margin of leaf blade crenate; petals triangular or triangular-ovate, apex obtuse, rarely acute.

叶片的边缘具圆齿；花瓣三角形的或三角状卵形，先端钝，很少锐尖。

Cupule bracts triangular, narrowly triangular, or ovate-lanceolate, adherent to outside wall of cupule.

Cupule苞片三角形，狭三角形，披针形或卵形，对在壳斗的墙外边粘性。

The method involves an iterative procedure, which incrementally flattens a 3D triangular mesh by region growing and obtains a parameterization with free boundary. The result is then converted to a parameterization with regular boundary by conformal mapping. Our method accounts for both the angle and area distortion during parameterization, it yields a parameterization with less global distortion and no triangular flipping.

采用区域增长算法逐层展平空间三角网格，得到空间三角网格曲面的自由边界的参数化结果，并利用保形变换将自由边界的参数化结果变换为规则边界的参数化结果；同时兼顾了参数化的角度变形和面积变形，使得参数化结果具有整体变形较小的特点，并能够避免三角形折叠的现象。

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。

Now the triangular mesh model simplification algorithm based on edge collapse is very complex.Combining Garland's quadric error metrics algorithm and Hoppe's progressive mesh algorithm,a new algorithm for triangular mesh dynamic model simplification based on cost function is proposed in this paper.

目前基于边折叠的三角网格模型简化算法边折叠计算复杂，没有有效进行动态简化，结合Garland的二次误差度量算法和Hoppe的累进网格算法，提出了基于代价函数的三角网格模型动态简化算法。

Next, we study the case when the approximation spaces are the anisotropic linear triangular element and a new conforming triangular Hermite-type one, by taking advantage of a series of new approaches, the convergence analysis of hyperbolic type integro-differential equations is provided, the error estimates are also obtained .

其次，把逼近空间分别取成具有各向异性特征的协调线性三角形元和一个新的二次Hermite型三角形元，针对双曲型积分方程，给出了相应的收敛性分析及其误差估计。

The triangular face internal pixel color under the vertex color diffuse reflectance, it is a triangular gradient colors surface.

该三角形面内部的像素颜色根据顶点颜色进行漫反射，因此是一个颜色渐变的三角形面。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。