三角

Fast algorithm of minimal norm least square solution for Cauchy linear system;2. For the m×n Cauchy-type matrix with full column rank,the fast algorithm of the minimal norm least square solution to the linear system Cx=b was obtained by construction of a special block matrix and study of the triangular decomposition.

对于秩为n的m×n阶Cauchy型矩阵C，通过构造特殊分块矩阵并研究其三角分解，进而得到了线性方程组C x=b的极小范数最小二乘解的快速算法，所需运算量为O+O(n2)，而通常构造法方程组的方法所需运算量为O(m n2)+O(n3)，用正交化法虽然避免了构造法方程组，但所需的运算量更大些。

This is commonly referred to as the Tri-Angle of combustion.

这是通常所说的氧化三角关系。

As an application, we also describe the Jordan automorphisms of the algebra of upper triangular matrices over commutative rings, and give a sufficient and necessary condition for a commutative ring being connected.

作为应用，我们还刻划了交换环上的上三角矩阵代数的Jordan自同构，并给出了一个交换环是连通环的充要条件。

In chapter three, we study the strongly cleaness of some 3 times3 matrix rings over a commutative local ring and prove that if R is a commutative local ring, Then TM_{3} is a strongly clean ring.

本文第三章主要研究可换局部环上的某些三角矩阵环的强clean 性，并且证明如果 R是可换局部环，则 TM_{3}是强clean矩阵环。

In this paper, the multi-traveling salesman problem is: to meet the triangle inequality enabling complete graph on a bi-objective optimization problem.

详细说明：本文研究的多旅行商问题是：满足三角不等式的赋权完全图上的一个双目标优化问题。

The experiment results indicate that V-system is an effective tool used to reconstruct complicated geometric information with both continuous and discontinuous signals. This is the essential difference among V-system, the classical complete orthogonal system with continuous functions and Walsh and Haar system which include intense discontinuous functions.

利用三角域上V-系统进行三维复杂几何模型的重构实验，实验结果表明，V-系统对复杂的、连续间断并存的几何信息重构特别有效，这与经典的连续正交函数系及强间断的Walsh及Haar函数系有本质的不同。

The obtained results can be used for the analysis of frequency spectrum for 3D complex group of geometric models.

三角域上的V系统的重要应用显现在对3D复杂几何图组的整体频谱分析上。

Experiments show that the method can give an optimized flattening of a complex surface without overlapping triangles rapidly and effectively and it can be used in many fields.

实验结果表明，该方法能够快速、有效地获得复杂曲面的不含翻转三角片的优化展开，具有一定的通用性。

Aiming at the better performance on complex situation of object surface, a robust processing method is designed out here.

为了使传感器在复杂物体表面情况下仍具有较好的性能，我们设计了一种用于旋转对称三角传感器的鲁棒的处理方法。

Related models of its and operation and compositor of triangular fuzzy number are introduced.

建立了它的模型以及三角模糊数的排序、运算，用类似于解决前一种模型的方法进行转化和求解。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。