查询词典 diagonal matrix

Selfconjugate matrix, skewselfconjugate matrix, perselfconjugate matrix, skewperselfconjugate matrix, centrosymmetric matrix, skewcentrosymmetric matrix, bisymmetric matrix, and skewbisymmetric matrix over a ring with an involutorial antiautomorphism are defined. Significant criteria for matrices to be bisymmetric and skewbisymmetric are obtained.

在具有对合反自同构的环上定义了自共轭矩阵，斜自共轭矩阵，广自共轭矩阵，斜广自共轭矩阵，中心对称矩阵，斜中心对称矩阵，双对称矩阵和斜双对称矩阵，建立了双对称矩阵和斜双对称矩阵的重要判定定理。

Five ways on comparing covariance matrix are applied to the Shanghai 50 Indexes Stock Exchange, which are sample covariance matrix, scalar matrix, two-parameter covariance matrix, single index matrix, constant correlation matrix. We adopt principal components method and Markowitz portfolio method to measure stock market risk using VaR, getting the effect of measuring market risk. The result shows that sample covariance matrix and two-parameter covariance matrix could measure market risk more effectively.

本文以上证50指数数据为样本，采用样本协方差矩阵、数量矩阵、两参数模型矩阵、单指数模型矩阵、常量相关矩阵作为与股票相关的协方差矩阵，结合投资策略选择的主成分方法和Markowitz最优投资组合方法，计算VaR以度量市场风险，并比较了五种协方差矩阵度量市场风险的效果，结果表明，在主成分方法中，样本协方差矩阵和两参数矩阵方法能有效的度量市场风险。

On the basis of the definition of matrix traces , this paper discusses their characteristics at first and then according to the norm of the F of square matrix and Cauchy-Schwarz inequality gives how to prove the zero matrix, unsimilar matrix, number cloth matrix, column matrix idempotent matrix and non-equality matrix.

根据矩阵迹的定义，首先给出了矩阵迹的性质，然后依据方阵的F—范数定义Cauchy—Schwarz不等式，给出了零矩阵，不相似矩阵，数幂矩阵，列矩阵，幂等矩阵及矩阵不等式的证法。

According to this characteristic, the search matching method of this diagonal line in this calculation is to regard the main diagonal lines as the superior searched route, discard the elements far from the main diagonal lines and it won't generate matching matrix when actually realized. Just regard the present search point as the start point, search matching elements at the small rectangle from the bottom right, regard the element when found as the new start point, so this can happen repeatedly until the ends of the two strings.

根据这个特点，本算法中的对角线搜索匹配算法以主对角线为优先搜索路径，抛弃了离主搜索路径太远的元素，实际实现时，并不需生成匹配矩阵，只以当前搜索点为起点，向右下方向一个小矩形区域上搜索匹配的元素，找到匹配的元素后即以该元素为新的起点，这样无回溯地重复进行直到两个串的未尾为止。

In the proposed method the data from state estimation or power flows during larger time interval is used to calculate nodal voltages and the initial value of current transitive-relationship matrix; the variation of diagonal elements of this matrix reflects the variations of the detailed models of system components, network topology and parameters after the perturbation, then by use of the PMU measured data in millisecond level the primary diagonal element can be modified.

该方法采用时间间隔较大的状态估计或潮流数据计算节点电压和电流传递关系矩阵的初值，并利用该矩阵主对角元的变化反映受扰后系统各元件的详细模型、网络拓扑和参数的改变，然后使用相量测量单元毫秒级的量测数据对其进行修正，从而为在实际应用中将相量测量单元与SCADA系统相结合做出了有益探索。

Get the main diagonal of a matrix, or put a vector into the main diagonal of a matrix.

取得的主要矩阵，或将一个向量到对角线的主要矩阵对角线。

The following statements are proved:. A is equivalent to a diagonal matrix if and only if A is similar to a diagonal matrix.. If R is an APT ring, then A can be uniquely diagonalized as diag{e1,..., en} and ei divides ei+1.. R is an APT ring if and only if R/I is an APT ring, where I is a nilpotent ideal of R.

本文证明了以下结果：A相抵于一对角阵当且仅当A相似于一对角阵；若R是一APT环，则A在相似变换之下可唯一地化为对角形diag{e1，…，en｝，这里ei整除ei+1；R是APT环当且仅当R/I是APT环，这里I是环R的一幂零理想。

It is such a matrix: First of all, it is an odd order matrix whether it was followed by the sum of each row or// for each column and the diagonal or the left or the right of and on the diagonal and are equal to the same number of .

它是这样的一个矩阵：首先它是一个奇数阶矩阵；其次无论它的每一行之和还是//每一列之和还是左对角线之和还是右对角线之和都等于一个相同的数。

Based on the decomposition theorem for vector space with module structure and rational canonical form of matrix, a kind of new block diagonal controllably canonical forms are inferred when the time invariant linear multivariable system is completely controllable, which the system matrix is similar to a block diagonal and has an analogy with its rational canonical form. Compare with current controllability canonical forms, this kind is easier to analyse the system constructional characteristic. The process of proof gives an effective solution method.

基于向量空间的模结构分解和矩阵的有理标准形给出了定常多输入线性系统一类新的块对角可控规范型，其中的系统矩阵相似与一个块对角矩阵，该块对角矩阵类似于矩阵的有理标准形，与现在有的可控规范型比较，更容易反映系统的结构特征，证明步骤给出了求解方法。

Based on the traditional mechanical model the buble point method of three diagonal matrix, an neural network model of gas-liquid equilibrium computation for liquid air, which makes system presure P and equilibrium component of liquid phrase x1,x2,x3 as input nodes makes system temperature T, equilibrium component of gas nitrogen y1, equilibrium constant of argon and oxygen k2, k3 as output nodes, insteads of the buble point computation of the three diagonal matrix , thus a improved distillation model is built.

在传统的机理模型三对角矩阵法中的泡点法基础上，将体系压力P，平衡液相组成x1， x2， x3 为输入节点体系温度T ，平衡汽相氮组成y1 及氩、氧的相平衡常数k2， k3 为输出节点的神经网络液体空气汽液平衡计算模型，取代三对角矩阵法中泡点计算，从而建立改进的精馏塔模型改进模型用于空分塔的模拟计算，不仅计算速度快，计算结果与机理模型结果非常接近，且符合设计要求，对实现产品质量的在线监控具有一定的指导意义

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1944年的今天，美国在塞班战役中拿下塞班岛。

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