等价矩阵

Moreover, the equivalance between regularity of a ring and a full matrix ring is proved with a new method.

当 R是一个有单位元的环时，本文引进并刻划了Mm× n的正则性并由此重新证明了环 R与全矩阵环 Mn正则的等价性，这种方法比原有的证明方法简

Moreover, Problem I can be transformed equivalently into a problem that finding the minimum norm least-squares solution of a new inconsistent matrix equation.

而问题Ⅰ可等价转化为求一个新的不相容矩阵方程的最小范数最小二乘解的问题。

In this paper,we prove that maximal strategy and ESS are equivalent in ESS model which payoff matrix is symmetrical.

主要证明了在由对称支付矩阵所决定的进化稳定策略模型中，极大策略与进化稳定策略是等价的。

By analyzing the view frustum in graphics hard-ware, we deduce an equivalent projective transformation, which enable us to use auniform format to represent the surface splatting based on both software and hardwareimplementation.

在该算法中，通过分析图形硬件中投影矩阵的表达形式，推导出了等价的透视投影变换模型，从而使得基于硬件和基于软件的绘制算法形成统一的表达形式。

This paper focuses on four important aspects as follows. The first one is the establishment of variational quations which provides the mathematics theories for the finite element method of HMT; the second one is for the study of scalar/node and vector/edge finite element method; the third one is about how to solve faster for the large-sacled matrix system of scalar/node and vector/edge finite element; and the last one is achieving the forward modeling with high precision of HMT method.

主要包括四部分：建立与高频大地电磁法边值问题相等价的变分问题，为有限元数值计算奠定数理基础；标量/矢量有限元方法的研究；加速标量/矢量有限元矩阵系统方程迭代求解技术的研究；实现高频大地电磁参数精确快速正演模拟的研究。

In this note the author showed that if s is nonnegative integer and A∈B n,n+s, then |R|=2 n if and only if A contains a submatrix which is permutation equivalent to the unit matrix of order n.

作者证明：如果s是一个非负整数且A ∈Bn ，n+s，那么｜R ｜=2 n 当且仅当A含有置换等价于n阶单位矩阵的一个子阵

For example, Donagi and Witten found that the spectral curves of these integrable many body systens are identified with the Seiberg-Witten curves of the Seiberg-Witten theory. More recently, Dijkgraaf and Vafa found the information about the superpotentials of the chiral fields in some N = 1 SUSY gauge theories from the planar diagram of certain matrix integral.

例如，Donagi和Witten等人发现可积系统的谱曲线和Seiberg-Witten理论中的Seiberg-Witten曲线相互等价，Dijkgraaf和Vafa等人从正则矩阵积分的平面图中找到了N=1的超对称规范理论中手征场的超势的一些信息，同时N。

In the paper, the kinds of reachability notions are defined and charactered firstly in their matrices and graphs. By the discussion of the matrix standard form and its transitive closure, the relation among the maximum partial reachability sets, the standard form of the matrix and its transitive closure are posted and the network partial reachability is based. The standard form provides methods for the improvement of the network reachability.

本文首先定义了诸可达概念及其等价刻画，通过布尔阵标准型及其传递闭包的讨论，揭示了网络极大局部可达集与矩阵标准型、传递闭包的关系，建立了网络局部可达的框架结构，并通过标准型为改善网络可达性提供方法。

Then,it introduces theabstract 〓-WGHP and finitely quasi 〓-families and establishes two basic convergencetheorems on them.

其次引进了具有〓的抽象序列族以及抽象的有限拟〓族，并建立了其上无穷矩阵收敛的等价条件。

This paper describes a new algorithm of image enhancement of impulse noise based on PCNN time matrix and rough sets indiscernibility relation. For noisy gray images, the results of computer simulations show that the image noise can be reduced efficiently and the image becomes clear and the target details of the image can be enhanced better by using this algorithm. In addition, the effects of this algorithm are better than usual image enhancement algorithm.

基于粗集理论中的不可分辨关系的等价概念及PCNN赋时矩阵，提出了一种含有脉冲噪声的图像增强算法，计算机仿真结果表明，对被噪声污染的灰度图像，用基于PCNN与粗集理论相结合的图像增强算法处理后，图像噪声得到有效抑制，画面更清晰，图像中目标的细节也得到了很好的增强，其结果优于常规方法。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。