查询词典 diagonal matrix

When scaled factor circulant matrices are nonsingular, we can find the single solution of the scaled factor circulant matrix equation; When scaled factor circulant matrices are singular, we can find the special as well as the general solution of the scaled factor circulant matrix equation; There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm.

当鳞状因子循环矩阵非奇异时，该快速算法求出线性方程组的唯一解；当鳞状因子循环矩阵奇异时，该快速算法求出线性方程组的特解与通解。该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。

For example: Causes the diagonal matrix aspect using the matrix similarity the operation simplification, as well as using the matrix similarity determined transports in the mathematics problem in the matrix unknown element and so on.

利用矩阵的相似性使得对角矩阵方面的运算更简单化，以及利用矩阵的相似性来确定运算题中的矩阵中的未知元素等。

When the actuated joint was rotary actuation, kinematic Jacobian matrix of the manipulator was a diagonal matrix. So it was an uncoupled mechanism. As the actuated joint was linear one, Jacobian matrix of the manipulator was an identity 3×3 matrix and its determinant was equal to one. Manipulator, therefore, was singularity-free fully-isotropic throughout the entire workspace.

当以转动输入为主驱动时，运动雅可比矩阵为3×3阶对角阵，故机构为无耦合并联机构；当以移动为主驱动时，雅可比矩阵为3×3阶单位阵，且其行列式的值为1，所以在整个工作空间内机构表现为无奇异完全各向同性。

This is the so-called Duerlite algorithms: from the bottom row of the matrix A do elementary transformation, the diagonal elements into the bottom left of zero, and then show the effect of these lines is equivalent to transform the left by a unit lower triangular matrix, this series of unit lower triangular matrix inverse is the product of L matrices, it is also a unit lower triangular matrix.

这正是所谓的杜尔里特算法：从下至上地对矩阵A做初等行变换，将对角线左下方的元素变成零，然后再证明这些行变换的效果等同于左乘一系列单位下三角矩阵，这一系列单位下三角矩阵的乘积的逆就是L矩阵，它也是一个单位下三角矩阵。

The algorithm uses the wavelet decomposition and reconstruction in multi-resolution editing B-spline curves and transforms a zonal matrix or sparse matrix to a row simplified matrix using the properties of the augmented matrix of the system of linear equations,which is a zonal matrix or sparse matrix,by elementary row operation.

该算法利用方程组的增广矩阵为类带状矩阵或者稀疏矩阵这一特点，运用简单的矩阵的行初等变换，将类带状矩阵或者稀疏矩阵化成容易接受的行简化矩阵，解方程组，使小波分解与重构的过程快速准确，使从事相关工作的技术人员更容易理解和接受。

In chapter three, at first we introduces two kinds locally double αdiagonally dominant matrix from the concept of αdiagonally dominant matrix, by using this conception and the properties of αdiagonally dominant matrix and the techniques of inequalities, we discuss the relation of locally double αdiagonally dominant matrix and generalized strictly diagonally dominant matrix, according to these relations we obtain some effective criteria for generalized strictly diagonally dominant matrix.

在第三章中，首先由α-对角占优矩阵的定义，引进了两类局部双α对角占优矩阵，并利用它们及α-对角占优矩阵的性质，结合放缩不等式的技巧，讨论了局部双α对角占优矩阵与广义严格对角占优矩阵的关系，并由此得到判定广义严格对角占优矩阵的几个实用准则。

This project studies the scale-dependent deformation behavior of the metal matrix composite, the void nucleation and void growth mechanisms at the micron/submicron scale. The main results are:(1) In prophase, growth and coalescence of the void embedded in the graded matrix are analyzed in detailed;(2) Based on the infinite solid model containing a micro-void, coupling effects of the void shape and the void size on the void growth are studied carefully, the results show that it seems to exist a critical equivalent void radius, which is associated with the material length. When radius of a microvoid is close to or smaller than the critical void radius, the micro-void growth rate is essentially eliminated;(3) The coupling effects of the particle shape and size on the mesoscopic stress fields within the particle and matrix are also investigated by introducing the conception of inclusion/matrix interfacial energy. The results show that the stress concentration factors within the particle and on the matrix/particle interface are also strongly size-dependent,so the void nucleation mechanism is size-dependent.(4) By employing a specific orthogonal curve coordinate frame and a 'kernel function' conception, a 'unified method'solving the spheriodal and spherical void problems is suggested; by this unified method, size-dependent plastic potentials of the porous materials containing the spheriodal or spherical voids are obtained, which extend the traditional Gurson model for the spherical void and GLD model for the spheriodal voids to the micron scale.(5) Based on the RVE model containing the spheriodal or spherical particles, the influences of the particle shape and size on the size-dependent mechanical behavior of metal matrix composite are studied.

中文摘要：本项目对金属基复合材料在微细观尺度下的尺度相关变形行为、孔洞形核及长大的机理和模型进行了研究，取得了如下主要结果：1）在前期研究中，探讨了基体的梯度分布对孔洞长大和聚合的影响；2）基于含孔洞的无限大体模型，探讨了孔洞形状和孔洞尺寸对其长大的耦合作用，结果表明：可能存在一个与材料特征长度相关的临界孔洞尺寸，当椭球孔洞的等效半径小于临界孔洞半径时，孔洞的长大受到明显抑制；3）通过引入基体/夹杂界面能的概念，分析了夹杂尺寸、夹杂形状对材料细观应力场的耦合影响，结果表明：颗粒内部和界面上的应力集中因子强烈地依赖于夹杂的尺寸和形状，因此，孔洞的形核机理是尺寸相关的；4）采用一种特殊的正交曲线坐标系和引入"核函数"的概念，"统一"地得到了含椭球和球形孔洞的材料的尺寸相关塑性势，它将传统的Gurson球形孔洞模型和GLD椭球孔洞模型推广到微尺度范围；5）基于含椭球和球形夹杂的体胞模型，初步研究了夹杂形状、夹杂尺寸对金属基复合材料尺寸相关力学行为的影响。

The method for constructing LDPCC code includes encoder and decoder. Operational steps include as following: determining parameters of checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout polynomial matrix HT of LDPCC code; exporting generated matrix G of LDPCC code.

一种LDPCC码的构造方法，包括编、译码器，运行的步骤包括：初始化的步骤；确定一个置换单位矩阵LDPC分组码的校验阵HQT的参数的步骤；构造置换单位矩阵LDPC码校验阵HQT的步骤；构造LDPCC码的校验多项式矩阵HT的步骤；导出LDPCC码的生成矩阵G的步骤。

The method according to claim 6, for manufacturing a blade wherein a part external to the shell comprises a blade rooting part having at least one attachment bar, in which an end portion for linkage to a hub of said rotor is fitted with a laminate attachment, also comprising thermoplastic composite, and extending said at least one spar bar housed in the shell, the method further comprising the step of producing the elementary piece comprising the at least one spar by producing each attachment bar and the spar bar in the form of a strip of continuous and unidirectional reinforcing fibres which are agglomerated by said thermoplastic matrix, obtained by pultrusion at a melting temperature of the matrix, of several plies of continuous and unidirectional fibres which are agglomerated by said matrix, and, if said rooting part comprises at least two attachment bars, each one of which respectively extends one spar bar, in superimposing parts of corresponding strips forming the spar part housed in the shell, with interposition of at least one ply of continuous and unidirectional fibres which are agglomerated by said matrix between the adjacent superimposed strip parts, and fitting a removable tool, in the shape of a wedge, between parts held spaced from each other of two neighbouring strips, to form two attachment bars of the rooting part, then arranging the strips in a mould, and inserting each linkage end portion of a pultruded strip between two laminate elements of the attachment, to superimpose all the laminate elements of the attachment, closing the mould and compacting its contents under pressure and at a melting temperature of said thermoplastic matrix, and solidifying the matrix by cooling to rigidify the spar thus obtained with the laminate attachment solidly attached to its rooting part.

该方法根据索赔六，制造业刀片其中的一部分，罐壳外部包括一个叶片生根的一部分，拥有至少一个实习酒吧，在其中一结束部分为联系枢纽的说，转子是带有附件的层压板，也包括热塑性复合材料，并延长说，至少有一石酒吧住在蚬壳公司，进一步组成的方法步骤，生产初级一块组成的至少有一个SPAR公司生产每个附件的酒吧和酒吧在SPAR公司的形式，带不断加强和单向纤维是由烧结说，热塑性矩阵，得到的拉挤在熔化温度矩阵，数层的连续和单向纤维是由烧结说，矩阵，如果说，生根部分组成，至少有两个实习酒吧，每个人都分别延长一石酒吧，在叠加部分，相应的带形成的SPAR公司的一部分，居住在蚬壳公司，与干预的至少有一单层连续和单向纤维是由烧结说，矩阵之间的毗邻叠加条形零件，及装修一个可移动的工具，在形状，离间，部分之间举行的间隔从对方的两个邻国带，形成两个附件酒吧的生根部分，然后安排带在一个模具，并插入每个联系年底部分一拉挤带之间的二板的要素扣押，叠加所有层压板的要素扣押，关闭模具和压缩其内容的压力下和在熔化温度说，热塑性矩阵，并巩固矩阵冷却 rigidify该SPAR公司，从而获得与层压板的附着牢固重视其生根的一部分。

Research Triangle Toeplitz matrix nature Diagonal extended to a non-zero constant for the formation of the matrix above 1.30 Toeplitz matrix.

研究三角Toeplitz矩阵性质，推广到对角线上为非零的一个常数的形如上三角Toeplitz矩阵的矩阵的情况。

I go to school at night.

我是上上学。

Clear Tip Nasal Aspirator: A soft time and gentle suction action makes removing excess mucus easy.

鼻吸明确提示：一个柔软的时间和温柔吸力行动使消除过剩的粘液容易。