查询词典 rectangular matrix

Matrix Inverse and Transpose Calculator - This is a program that calculates the Inverse of a Rectangular Matrix using the Gauss elimination method, the product *[A-1] for verification purposes (must be always equal to Singular Matrix ) and also the transpose of Matrix .

这个程序使用高斯消除法计算矩阵的转置，用*[A-1]的结果进行校验，也可以对矩阵进行变换。

Using the relations between Hermite and Laguerre-Gaussian modes and expanding the window function of two-dimensional rectangular hard-edged apertures into a finite sum of complex Gaussian functions, the propagation of complex- argument Laguerre-Gaussian beams through a paraxial optical ABCD system with a rectangular hard-edged aperture is studied. An analytical propagation equation is derived and used to study the diffraction at the rectangular hard-edged aperture and the focusing properties of complex-argument LG beams.

利用拉盖尔－高斯模和厄米－高斯模的变换公式，并使用将二维矩孔光阑窗口函数展开为有限个复高斯函数之和的方法，得到了复宗量拉盖尔－高斯光束通过含矩形硬边光阑近轴ABCD光学系统的变换的解析传输公式，并对复宗量LG光束通过矩形硬边光阑的衍射和聚焦特性进行了研究。

objectiveto evaluate the result of using rectangular advacement flaps for repairing the eyelid defects at the edges of palpebra.methodswe have used rectangular or double rectangular advacement flaps to repair the defects of theantieror margin of eyelid in 36 cases.to repair the posterior margin defects ,when the defects of thetarsal plates were shorter than 5mm,the tarsal plates were closed directly , longer than 5mm ,sliding tarsal palpebral conjunctive flaps were to be used.resultsin 36 cases all of the flaps were survived with primary healing, slight scar, no absence of eyelashes, no notch deformity at the edge of palpebra, no trichiasis.

目的：探讨应用矩形推进皮瓣修复睑缘眼睑缺损的效果。方法：对36例睑缘肿物切除的眼睑缺损患者，采用矩形或双矩形推进皮瓣修复眼睑前层缺损。眼睑后层睑板缺损小于5mm者，采用直接缝合法；睑板缺损大于5mm者，采用睑板睑结膜瓣移行法。结果：36例患者皮瓣全部成活，切口ⅰ期愈合，手术瘢痕轻微﹑睫毛无缺失﹑无倒睫﹑睑缘圆滑无切迹畸形。

A machine component comprising: an elongated base plate with side edges, a linear actuator assembly having two parts which can move away from and toward each other, first mounting means on said base plate, said mounting means supporting one part of said assembly, a slide plate rectangular in cross-section and having parallel straight side edges, two elongated guide members each having a rectangular slot adapted to slidingly receive the edge of the slide plate, each elongated guide member including a lowerpart and an upper part and means for securing them together, the lower part having means for attachment to the base plate, said rectangular slot having (1) a first side wall adjacent to and parallel with the base plate, said first side wall being definedby a surface of said lower part,(2) a second side wall defined by a surface of said upper part, and (3) a bottom wall defined by a surface of one of said upper and lower parts, the upper and lower parts having oblique mating surfaces such thatlongitudinal meovement of one part with respect to the other causes the parts to separate from or approach each other in a manner to change the width of said slot, and second mounting means establishing a connection between the slide plate and the other part of said assembly.

有一长条形底座与身边的边缘，一个线性驱动器装配有两个部分，可以离开，彼此之间，首批意味着在说底座、说安装方式支持之一说总成，一个矩形截面板、平行直边棱、两种细长的引导会员都有一个矩形槽适应slidingly收到边缘的细长板，每一个lowerpart引导会员包括一个上方和手段，确保他们在一起，下方附件的方式，在底座，说矩形槽有(1)第一次侧墙毗邻，平行底座，一边说：definedby墙表面说下方，(2)第二次侧墙表面的定义，并说上方(3)底壁由一个表面的上部和下部零件，说上部和下部阀部件表面的thatlongitudinal拥有斜meovement这样的一部分的原因部分可以分离或接近对方的方式来改变宽度的槽，第二次安装方式，建立连接板之间，另一部分说总成。

Based on the analysis of physics course of heat transfer, the mathematical model of single-phase flow in the rectangular narrow channel is proposed. And the boundary conditions are given to get the unique numerical result. The finite volume method is used to found the discrete scheme of equations. According to the flow of SIMPLER arithmetic, the computing program is developed and the correctness of program is validated.Then the program is used to solve the problem of flow and heat transfer in rectangular narrow channel.The stable two dimension velocity and temperature fields in rectangular narrow channel and plate fuel are obtained.

在明确窄缝流道及燃料板换热物理过程的基础上，建立了描述矩形窄缝内单相流动与换热问题的数学模型，并给出了合理的边值条件；然后利用有限容积法对方程进行离散，根据SIMPLER算法的流程编制了模型求解程序；在验证程序正确性的基础上，对矩形窄缝流动与换热问题进行了求解，得到了矩形窄缝流道和板状燃料元件内部温度场、速度场的二维分布。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

From the history of Matrix and Transformation and the development of curriculum at home and abroad, putting matrix combined with the transformation, and orienting the study in 2×2 rank matrix, boosting matrix up the geometrical visualization as a algebra objects are a new perspective on knowing matrix.

从矩阵和变换的历史发展过程和国内外矩阵和变换的课程设置来看，把矩阵与变换相结合，并定位在2×2阶上研究矩阵，增强作为代数对象的矩阵的几何直观性，是认识矩阵的一个新视角。

We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

当∑＞0时，众多文献讨论了回归系数阵的各种估计及LSE的有效性，本文考虑了当∑≥0的情形，给出了回归系数阵B及其可估参数函数KBL的在矩阵非负定意义下的最优估计，研究了它的一个最大概率性质，并且讨论了最小二乘估计成为最佳线性无偏估计的充分必要条件，在此基础上给出了均值矩阵的最小二乘估计与BLUE的偏差估计，定义了LSE相对于BLUE的一个相对效率，并给出了它的界。

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

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我们普遍有大祸降临的感觉。