查询词典 triangular matrix

It is found that the R-matrix only permits anAbelian 〓continuous gauge transformation and the energy spectrum isgange invariant whereas the eigenvectors and eigenvalues of transfer matrix as wellas the Bethe ansatz equations are explicitly gauge dependent.

我们发现所得量子R-矩阵不具有〓离散对称性，这种对称性可被认为对模型的R-矩阵及Lax算符施加了一种附加约束，一旦去掉这种对称性，我们就可以得到对含有化学势一维Hubbard模型一种自然描述的量子R-矩阵。

We parallelize traditional matrix multiplication, Gauss Elimination and Jacobi Method of Real Symmetric Matrix Eigenvalue Problems.

本文充分研究了CUDA编程架构，详细介绍了CUDA的起源发展，特色技术以及应用领域。

Though blocking computing matrix,it can decrease the calculation amount of matrix multiplication.Meanwhile,the different simplified formats are presented when computing Duhamel integration with Trapezium formula、Simpson formula、Cotes formula and Gauss formula.

通过分块计算矩阵，能够减小矩阵乘法的计算量，同时分别给出了利用梯形公式、Simpson公式、Cotes公式、高斯公式计算Duhamel积分时的不同简化格式。

In terns of the general theory of linear algebra, reduced matrix for the operator M are similar to a Jordan matrix J, namely M = S~lJS .

当约化矩阵M不可对角化时，根据线形代数的一般理论，这时约化矩阵M与一个约当矩阵J相似，即M=S~(-1)JS，其中S是关于k，q_0的任意可逆矩阵。

By generalized {1} inverse matrix,we obtain the necessary and sufficient conditions and general integral for a type of matrix equation having solution over regular ring with an identity,and generalize and complement some existing results in the literature.

借助矩阵的广义{1}逆，在含幺正则环上给出一类矩阵方程相容的充分必要条件及其通解表达式，推广和改进了已知的一些结果。

In two-dimensional space, derived from the geometric transformation matrix from the transformation matrix to understand its geometric meaning.

详细说明：在二维空间内，从几何变换推导变换矩阵，从变换矩阵理解其几何意义。

The elastic stiffness matrix of this new model is 14×14. The effect of axial force, shearing force, biaxial bending moment and bimoment was involved in the geometrical stiffness matrix of element.

该模型的弹性刚度矩阵为14×14矩阵，几何刚度矩阵中考虑了轴力、剪力、双向弯矩和双力矩效应。

Dixon method was adopted to construct a 22×22 Dixon matrix and then the greatest common divisor of two columns was extracted. After expanding the determinant of the matrix, a 64 degree univariate polynomial equation was obtained and 6 extraneous roots were canceled in the process of solving the other 3 variables.

结合矢量法和复数法建立了4个几何约束方程式，使用Dixon结式构造22×22的Dixon矩阵，对两列提取公因式后展开矩阵的行列式得到一元64次多项式方程，回代过程中去掉6组增根后得到58组解。

Firstly, four geometric loop equations are set up by using vector method in complex number fields. Secondly, three constraint equations are used to construct the Dixon resultants, which is a 6×6 matrix and contain two variables to be eliminated. Extract the greatest common divisor of two rows and two columns of Dixon matrix and compute its determinant to obtain a new equation. This equation together with the forth constraint equation can be used to construct a Sylvester resultant.

首先使用矢量法和复数法建立4个几何约束方程式；再使用Dixon结式法对3个方程式构造一个含有2个变元的6×6 Dixon矩阵，提取其中2行列元素的公因式，将新矩阵的行列式展开后得到二元高次多项式方程，该方程与剩下一个方程使用Sylvester结式消去一变元，得到一元高次方程。

Based on matrix disterbance theory, a new numerical calculation method to determine system observability of each state through system observability matrix sin gular value decomposition is proposed. This method is applied in flight trans fer alignment and integrated navigation filter design successfully.

提出了应用系统观测矩阵奇异值分解确定滤波器中各状态变量可观性强弱的一种方法，并在系统的飞行传递对准和组合导航滤波器的设计中得到了成功的应用。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。