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The traditional distinction based on the matrix attribute reduction algorithm analysis, for distinction in the matrix "repeat" Too many elements, these "duplicate" elements not only in solving attribute reduction in the process does not work, But also reduce the time efficiency by improving the shortcomings that distinction in the matrix structure in the process of using Proposition calculus in the absorption of the law removed the distinction between the functions of the non-functional "repeat"element, a property Reduction of improved algorithm RADM, improve the efficiency of the attribute reduction.

通过对传统的基于区分矩阵的属性约简算法进行分析后,针对区分矩阵中"重复"元素过多,同时这些"重复"元素非但在求解属性约简的过程中不起作用,而且还降低时间效率这一缺点进行了改进,即在构造区分矩阵的过程中,利用命题演算中的吸收律去掉了在区分函数中不起作用的"重复"元素,提出了一种属性约简的改进算法RADM,提高了属性约简效率。

In chapter four, by the concept of negative definite of symmetry interval matrix, methods of analysis of interval matrix and the method of Lyapunov function, the robust absolute stability of Lurie control system with multiple nonlinearities was investigated, and some algebraic sufficient conditions in the form of inequalities of interval matrix were obtained.

在第四章,通过定义对称区间矩阵负定的概念,主要用区间矩阵分析技术和Lyapunov函数方法,研究了具多非线性的区间Lurie控制系统的鲁棒绝对稳定性,我们给出了此类区间Lurie系统鲁棒绝对稳定性的区间矩阵不等式形式的代数充分条件。

This paper first presents the characteristic function of matrix Beta distribution and then obtains the first two moments through matrix differentials.

首先给出了矩阵Beta分布的特征函数,然后利用矩阵的微分得到了矩阵Beta分布的前二阶

Finally,we obtain the singular matrix Dirichlet andthe singular matrix Beta distribution,and the density functions of them are ob-tained.

最后,由退化矩阵Liouville分布构造了退化矩阵Dirichlet分布、退化矩阵Beta分布,得到了它们的密度函数的表达式。

Construct the three-dimensional manifold element covering hexahedron, provide cover displacement function, strain matrix, stiffness matrix and stress matrix of the three-dimensional manifold element by the previous research work.

6在前人研究的基础上,构造了六面体有限覆盖的三维流形单元,推导了三维流形单元覆盖位移函数、应变矩阵、刚度矩阵、荷载矩阵等表达式。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点:一是目标函数的Hessian矩阵不要求正定;二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵,算法具有很好的数字稳定性。

The main advantages of EGGLE include:the fixed neighborhood parameter k,only one time for constructing neighborhood graph and geodesic distance matrix,only needing to choose generalized Gaussian functions many times for constructing many Laplacian matrixes,obtaining multiple independent low-dimensional coordinate sets, independently training multiple classifiers,and combining classification results of these component classifiers to produce the final identification.

3提出了一种基于GGLE的集成判别算法,该算法的主要优点是:近邻参数k固定,邻接矩阵和测地线距离矩阵都只构造一次,只需要多次选择广义高斯型函数构造多个拉普拉斯矩阵,获取多个独立的低维空间坐标集合,独立学习分类器,集成分类识别。

The present method is applied to two-dimensional potential problems and the corresponding discrete equations are derived. Because the shape functions so-obtained possess the Kronecker delta property, the essential boundary conditions can be enforced as the FEM; furthermore, the Heaviside step function is used as the test function, there is no domain integral, and only a regular boundary integral is involved.

因为滑动Kriging插值方法构造的形函数满足Kronecker函数性质,所以本文建立的改进的无网格局部Petrov-Galerkin法可以像有限元法一样直接施加边界条件;由于采用Heaviside分段函数作为局部弱形式的权函数,因此在计算刚度矩阵时只涉及边界积分,而没有区域积分。

The solution for the non-stationary system is obtained through the stationary disturbed system. The gradients of the system performances to all design variables are derived and they can be used to obtain optimal solution of the systems. More generally, if the performance of the system is a function of the solution of a set of generalized Lyapunov equation, then the gradients of the performance function to the coefficient matrices of the equation can be found in closed form.

文中显示,非静态干扰系统的解可由静态干扰系统求得,而此干扰系统之最佳解,则经由本文所推导的对所有设计变数之系统性能函数梯度获得;一般而言,如果系统之性能函数是一组通式化 Lyapunov 方程式解的函数,则此方程式的系数矩阵之性能函数梯度,可用封闭解表示之。

For acquiring relations between the eigenfunctions of waveguides and tensor Green function, we first take the Fourier transform of Green function. In isotropic media the simplest image function can be expressed in dyadic form, and in anisotropic media in the form of ABA+-ikz0,where A is the coordinate matrix.

为了得到波导管的本征函数和格林张量函数的一些关系,我们首先对格林函数作富氏变换,它的象函数在各向同性介质波导中以并矢形式作为最简单的表达方法,而在充有各向异性介质波导中可以表为ABA~+e~的形式,这里A是坐标矩阵。

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

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