查询词典 determinant

The partitioned mode of the Vandermonde determinant-the quasi-Vandermonde determinant is studied, and by using methods and skills of matrices the calculating formulas are given, thereby the Vandermonde determinant are generalized.

文章将其一般化，讨论分块形式的Vandermonde行列式－准Vandermonde行列式，运用矩阵分块运算方法和技巧，得到了相应的计算公式，从而推广了范德蒙德行列式。

In this paper, the determinant and adjoint for a lattice matrix are studied, and some properties of the determinant and adjoint for lattice matrices are given.

研究了格矩阵的行列式与伴随矩阵，给出了它们的一些代数性质，同时给出了由一个格矩阵构造一个传递矩阵的方法。

There are many methods to compute determinant, but the different methods, in the actual computation process, only suit for the different characteristic determinant. The present paper mainly studies 14 kinds the most common and also the most important methods.

计算行列式的方法非常的多，在实际的计算过程中不同的方法往往适合于不同特征的行列式，本论文主要研究其中的十四种最常用的也是最重要的方法。

The second part is the computational methods of the determinant: This part is core part in the full text, and mainly studied 14 kinds computational methods which nearly covered each kind of the characteristic of the determinant computation, including the definition method, the triangle method, Canada method and so on.

第二部分为行列式的计算方法：这一部分是全文的核心部分，主要研究了几乎覆盖各种特征的行列式计算的十四种重要方法，包括定义法、三角形法、加边法等，它们为我们计算行列式提供了方便快捷的途径。

Some basic properties of σ- LFSR over F4 are studied, such as nonlinearity, cycle structure distribution of state graph, the largest period and counting problem related. The conclusions are as follows:The coefficient ring of σ-LFSR is isomorphic to the matrix ring over F,. The cycle structure of σ- LFSR is consistent with that of the determinant of the corresponding polynomial matrix if and only if the feedback polynomial of - LFSR does not contain nontrivial factor over F2,. The counting formula of the number of σ- LFSR with inconsistent cycle structure is also showed in that part. The period of σ-LFSR with degree n is maximum if and only if the determinant of the corresponding polynomial matrix is the primitive polynomial with order 2n over F2,.

本文研究了有限域F_4上的σ-LFSR的一些基本性质，如非奇异性、状态图的圈结构的分布、最大圈的充要条件及相关的计数问题等，得到以下结论：σ-LFSR的系数环同构于F_2上的矩阵环；σ-LFSR的状态图的圈结构与对应的多项式矩阵的行列式的圈结构一致的充要条件为σ-LFSR的反馈多项式不含有非平凡的F_2上的因式，给出了圈结构不一致的σ-LFSR的计数公式； n次σ-LFSR周期达到最大，当且仅当对应多项式矩阵的行列式为F_2上的2n次本原多项式。

Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要：行列式矩阵的概念及其运算，方阵的行列式，矩阵的分块与初等变换，可逆矩阵，矩阵的秩；向量及其运算，向量间的线性关系，向量组的秩；线性方程组的性质与结构，线性方程组的求解；矩阵的特征值与特征向量，相似矩阵与矩阵可对角化条件，二次型的标准形与规范形，二次型和对称阵的有定性。

The reagents for a standard skin test should include penicilloyl determinant, penicillin G, other minor determinant mixture, positive control agent, and negative control agent. Skin test should be done by prick method first and then by intradermal injection method if the results of prick test are negative.

标准盘尼西林皮肤试验需准备五种试剂［penicilloyl determinant、盘尼西林、及其他的minor determinant mixture、阳性对照试剂、及阴性对照试剂］，依次以针刺及皮肤内之方式进行试验。

In order to locate direct singular positions, we begin by expressing the determinant of the Jacobian matrix Jx in terms of position of the center P of the moving platform. The Z and the Y coordinates of P may be chosen from the workspace, then the determinant of Jx is now a six order polynomial of X, the x coordinate of P. The direct singular positions corresponding to are obtained by solving the polynomial equation, and retaining all real roots in the workspace.

由速度分析的Jacobian矩阵Jx，将其行列式值表示成活动平台中心点P位置的函数，寻找奇异位置的方法是先假设平台高度，再假设工作空间内P点的Y座标，使Jx行列式成为P点X座标的六次方程式，求解方程式并保留在工作空间内之实根。

The element permutations and values of the Vandermonde determinant have highly symmetry, which makes the determinant applied widely in mathematics.

Vandermonde行列式的元素排列和行列式的值都具有高度对称性，是一个具有广泛应用的行列式。

Keywords determinant; Vandermonde determinant; popularization

积极投票可以增加您的经验值，每票1分，每天上限20分

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。