查询词典 rectangular matrix

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

In this paper, we propose a new visual cryptographic method for gray-level and chromatic images without pixel expansion. We simultaneously encrypt m successive pixels (called an "encryption sequence") each time in accordance with two basis matrices. In every m encryption sequences with b blacks, we make sure that b encryption sequences are encoded by black basis matrix, and the other ones are encoded by white basis matrix.

本研究提出一种不需要像素扩展的灰阶和彩色视觉密码的技术；我们的方法利用多点同时加密的概念，每次取连续的 m 个点做为加密序列进行加密，我们的方法可以确保在 m 个具有 b 个黑点的加密序列中，一定会有 b 个加密序列是使用黑点基础矩阵加密，另外的个则使用白点基础矩阵加密，因此在叠合影像上黑与白的变化很规律。

Through the opening design of the black matrix at the overlapping region between the public electrode on the black matrix on the color film substrate and the data line leads or/and grid line leads on the array substrate, the invention avoids strong contacts between Au-ball lead and the protective layer on the data line leads or/and grid line leads so as to prevent electrostatic breakdown and improve product yield.

本发明通过在彩膜基板的黑矩阵上的公共电极与阵列基板上的数据线引线或/和栅线引线交叠区域的黑矩阵采用开口设计，避免Au-ball与数据线引线或/和栅线引线上面的保护层形成强力接触，防止了静电击穿发生，提高了产品的良率。

Meanwhile, the accurate mask alignment between the active layer on the bottom glass and the black matrix on the top glass and the choice of low-reflectivity black matrix material in conventional technology are also omitted.

并利用淀积欧姆接触层n〓a-Si：H和金属薄膜时沉积在SiN〓保护层上的n〓a-Si：H和金属薄膜作遮光黑层，省去了传统方法中上玻璃基板的黑矩阵与下玻璃基板TFT有源层沟道之间苛刻的对版工艺，并避免了传统黑矩阵制作工艺中对低反射率黑层材料的需求。

Tridiagonal block matrix elemination and sweep algorithm is successfully applied to solve the large matrix involved; central difference method is supplemented to Houbolt method to form a time integration method with estimation and correction, to solve the time integration of second order implicit non-linear equation; simplification of system equation by decoupling between the physical coordinates x and y further improves the calculation accuracy and speed.

其中：成功地引入块三对角矩阵追赶法求解上述问题构成的大型矩阵；提出中心差分法+Houbolt法的预估计—校正时间积分法，以解决二阶隐式非线性方程的时间积分问题；系统方程在物理坐标x和y上的"解耦"简化，使计算速度和计算精度得以进一步的提高。

The results show that the covalent electron number and bond energy in structure cells can be improved by adding proper alloy elements and carbon in α-Fe matrix, thus the matrix can be strengthened.

结果表明，在α-Fe基体中加入适量的合金元素和C，可提高结构单元的共价电子数n和键能E，强化了基体。

Experiments on decalcification and activation of osteoinductive ability, comparison between the osteogenesis of demineralized bone matrix in orthotopic and in heterotopic sites, and correlation between immune response to allograft of bone and osteoinductive activity of the graft, were reported in this paper. 1. Syngeneic deminerolized bone matrix and the mixture of DBM with bone ash or acid-soluble protein extracted from demineralization was implanted into muscle pouch of mice, subsequently, the inhibition of DBM osteoinduction by bone ash or acid-soluble protein was demonstrated with histological and by means of alkaline phosphatase assay.

本文对脱钙处理使骨诱导活性表达的作用、脱钙骨基质植入不同部位的成骨表现，以及同种异体骨移植引发的免疫反应与骨诱导活性的内在关系三方面进行了研究：（1）在小鼠肌肉植入同系脱钙骨基质及其与脱钙所去除的骨矿盐和酸溶性蛋白混合物，碱性磷酸酶和组织学检查表明：骨矿盐和酸溶性蛋白具有抑制脱钙骨基质骨诱导活性的作用。

By analyzing the relationship between the algebraic degree and characteristic matrix of a Boolean function,the relationship between the algebraic immunity and characteristic matrix of a Boolean function is obtained.

通过分析布尔函数的代数次数与特征矩阵的关系，得到了布尔函数的代数免疫度与特征矩阵的关系。

Bordered matrix has very wide applications in the matrix theory, many specialists and scholars had studied bordered matrices before.

本节在P-SVD中通过构造特殊的非奇异矩阵，详尽地揭示了两个矩阵乘积{1，3}-和{1，4}-逆的结构，从而最终解决了两个矩阵乘积{1，3}-和{1，4}-逆的反序律，并得到了两个矩阵乘积伪逆反序律的一个新的等价性条件。

As implicit pressure and explicit saturation method is selected to calculate black oil model and the bottom-hole pressure is introduced, the coefficient matrix of pressure equation becomes bordered seven-symmetrical matrix.

用IMPES法求解黑油模型，引入井底压力为未知数时，压力方程的系数矩阵变成了加边的七对角阵。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。