查询词典 The Matrix

On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系，并用1/ω代替|B′(xBx(下标k|，构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式，x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y，从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

The Airy function is used to calculate the plasma impedance and the grill-plasma scattering matrix is deduced, then the coupling properties of the HT-7 LHCD MJ launcher are studied with the antenna scattering matrix and the grill-plasma scattering matrix based on the liner coupling theory. The average power reflection coefficient, directivity, power spectrum are obtained for different edge plasma densities and for different phasings between main waveguides.

采用线型耦合理论，用艾黎函数计算了等离子体阻抗，推导出常规波导阵对等离子体的散射矩阵，并利用它和天线自身的散射矩阵研究了HT-7装置低杂波多结波导阵天线的耦合特性；计算了其平均功率反射系数、方向性系数和功率谱与等离子体边缘密度和主波导相位差等参数的关系。

In chapter four, by the concept of negative definite of symmetry interval matrix, methods of analysis of interval matrix and the method of Lyapunov function, the robust absolute stability of Lurie control system with multiple nonlinearities was investigated, and some algebraic sufficient conditions in the form of inequalities of interval matrix were obtained.

在第四章，通过定义对称区间矩阵负定的概念，主要用区间矩阵分析技术和Lyapunov函数方法，研究了具多非线性的区间Lurie控制系统的鲁棒绝对稳定性，我们给出了此类区间Lurie系统鲁棒绝对稳定性的区间矩阵不等式形式的代数充分条件。

First,the distance ratio between within-class and between-class of each column of mixing matrix is computed by using a distance measurement.Then,for each class,the mixing matrix and independent components are re aligned by sort ascending according to the distance rate,and the columns of the weight matrix with smaller distance ratio and the corresponding features are reserved.Finally,the best feature set is selected by genetic algorithm from these foregoing feature vectors.

首先，使用一种距离度量来计算混合矩阵每一类的类内类间距离比；然后对每一类按该比值由小到大重新排列混合矩阵和独立分量，保留权重矩阵中类间类内距离比大的列，及其对应的特征向量；最后对这些特征向量使用遗传算法选择最优特征组。

The elemental weight ratios (Na, K, Mg, Ca, Fe, Al, Ti, Mn, Ni)/Si of Ningqiang matrix are within the range of the corresponding ratios of CV chondrite matrix, Ca/Si and Al/Si ratios are high relative to those in the other CV chondrite matrix.

宁强基质的元素重量比值（Na、K、Mg、Ca、Fe、Al、Ti、Mn、Ni）/Si处于CV球粒陨石相应比值的变化范围之内，而Ca/Si、Al/Si值相对于其它CV陨石基质的同样比值较高。

A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法，然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法，最后给出了其反问题的最小二乘解的存在性定理及它的一般表示，并证明了逼近矩阵的存在唯一性且给出它的具体表达式。

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。

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。

Studying the positive definitiveness of the covariance matrix from discrete data is important to design the sampling plan and provides the base for the data analysis.However, there have been few outcomes about the positive definitiveness of covariance matrix, most of which have been restricted to the Covariance-matrix of continuous sample.

研究离散型样本协方差矩阵的正定性有助于判断是否可以降低样本的维数，有利于优化抽样个数，为抽样调查的优化设计方案提供一定的理论基础；为基于特征根的多元统计分析提供理论指导。

This paper introduces a criterion of linear system stability , which is de rived from the relationship between matrix trace and matrix characteristic value and the analysis of companion matrix .

通过矩阵迹和特征值的关系，以及对友矩阵特性的分析，本文导出一个线性系统稳定性的算法，它简单实用，收敛快，准确度高。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。