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This thesis has mainly contributed two results in theory: one is that the covariance matrix is not positive definitive if the number of sampling is least than the number of variables, the other is that the covariance matrix of discrete sample is positive definitive if and only if the sum of every random column vector of data matrix is non I-linear combination.

本论文在理论上,主要得出两个新的结果:ⅰ抽样调查中,若样本的个数少于变量的个数则样本协方差矩阵恒为非正定;ⅱ离散型样本协方差矩阵正定的充要条件是样本资料阵的各随机列向量是非I-线性组合。

Maximum model values are found for the channel matrix Hi of each user and for each column vector of the matrix, position information of the matrix is transmitted to a transmitting terminal, the transmitting terminal reconstructs the amplitude of each element of the column vector after receiving the position information, and phase position is quantized, wherein, after reconstruction, the amplitude of the element with the maximum model value is larger than that of other elements of the column vector, and a quantized angle of the element with the maximum model value is smaller than that of the other elements of the column vector; c.

对每个用户的信道矩阵Hi,对该矩阵的每个列向量,找出其最大模值,将其位置信息发送给发射端,发射端收到后对该列向量各元素的幅度进行重构,相位进行量化,其中最大模值的元素重构后其幅度大于该列向量其余元素的幅度,其量化角度小于该列向量其余元素的量化角度;c。

In this scheme, channel matrix is combined with encoding matrix to form new decoding matrix.

二、将TR-STBC编码技术与OFDM技术结合起来,提出了2种新的MIMO-OFDM系统方案。

Several important matrix function such as e〓, log (1+A), cos (1+A) and A〓 are approximated via truncated matrix continued fractions, and the error bounds associated with the continued fraction approximants of these matrix function are given.

在第六章,我们研究了矩阵函数的数值计算,我们给出了几个比较重要的矩阵函数如e〓,log(1+A),cos与A〓的连分式逼近算法,并给出了各自的误差分析。

In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题,得到向下延拓的褶积型线性积分方程,再利用Fourier变换矩阵的正交对称特性,并结合矩阵的奇异值分解和广义逆原理,提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法,解决了位场大深度向下延拓的不稳定性问题。

On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上,我们分析了非线性系统受控性质中的几个重要问题,所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理;ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法;利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件,得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理;iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法,初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

Meanwhile, in order to fix defect of former methods, an optimal source array weight matrix is presented to estimate Green's function matrix by analyzing the estimation covariance of Green's function matrix.

同时指出了现有方法存在的不足,并在此基础上通过研究格林函数矩阵的估计协方差,提出了一种最佳估计算法。

CvEM::COV_MAT_DIAGONAL - a covariation matrix of each mixture may be arbitrary diagonal matrix with positive diagonal elements, that is, non-diagonal elements are forced to be 0's, so the number of free parameters is d for each matrix.

每一个混合的协变矩阵都是任意的正对角阵,也就是说,非对角位置的值必须是0,因此每一个矩阵的自由参数为d。

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。

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法,在讨论了矩阵的QR分解方法的基础上,推导得出了矩阵QR分解与广义逆矩阵的关系,得出了可以直接利用QR分解求解矩阵的最小二乘逆,并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式,最后通过重力异常实例进行了计算,得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?