向量方程

A novel method for design of controller enforcing the constraints is presented. First the constraints involving the marking and Parikh vectors are transformed into the constraints involving Parikh vector only using Petri net state equality, and then the controller is constructed based on the viewpoint that a place can be seen as a linear inequality constraint on the Parikh vector.

该方法首先利用Petri网的状态方程把关于标识向量和Parikh向量的不等式约束转变成关于Parikh向量的不等式约束，然后基于Petri网库所是关于Parikh向量的不等式约束的观点构造控制器。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

And designs a new algorithm which can judge whether or not a given nonnegative integral vector corresponds to a friable trasition sequence. Then the algorithm is used to analyze the reachability of net system which has unique reachable vector or has no T-invariants.

4对可达性与可达方程可满足性相互等价的证明进行补充，给出一个判定非负整数向量是否为可执行向量的判定算法，最后利用该算法对唯一可达向量网和不含T-不变量的Petri网的可达性进行判定。

Because of the nonuniqueness in the positional solution, it's not easy to test the performance of the coordinated control system. So the model of NN was built to convert the vector of the length of 6 jars into the vector of the position of the motion deck. It's fast and accurate for the lengthwise direction. The state space system model of the six degree freedom motion simulator was built by the equations of electrodraulic servo mechanism and the multi-body dynamics equation of the six degree freedom motion simulator,the vector of the length of 6 jars was the control variable.

本文结合六自由度运动模拟器的多体动力学方程和电液伺服驱动机构的特性，经简化得出了具有实际意义的六自由度运动模拟器整体系统的状态空间方程式，通过分析该系统的稳定条件和能控性，采用状态反馈对系统的状态方程式进行合理配置，从而建立了以运动模拟器杆长向量为控制变量的运动模拟器整体控制系统，并将该控制系统输出的杆长向量转换为位置向量。

Such as seeking the solution of inverse matrix and maximum unconcerned system of linear equations,and solution of matrix equation,proving equation of system of vectors,and judging the linear independence of system of vectors,etc.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

Can be used to inverse matrix, and Vector Group's nothing to do great group that Vector Group equivalent, of linear equations, and the judgement of the matrix equation Vector Group's linear, and so on.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

Divide the whole region D into finite units and corresponding link points may be obtained. Constructing the equation of variation calculation about every element leads to the finite number of equations. Further more, algebra equation group for general synthesis are gained by adding these finite number of equations, that is,{T}={P} where is the coefficient matrix of the equation group, or say the temperature rigidity matrix,{T} is the row vector of unknown temperature and {P} is the row vector of the terms on the right side of the equation.

然后将整体区域D划分成有限个单元并得到相应的有限个节点，从而可以得到关于每个单元的变分计算方程，将这有限个方程相加就得到了总体合成的代数方程组，即{T}={P}，其中为方程组的系数矩阵，也称温度刚度矩阵，{T}为未知温度值的列向量，{P}为等式右端项组成的列向量。

This method can ensure to obtain all reasonable solutions meeting the fault equation, can be applied for various fault correlation criteria (such as various residual vector norm criteria) and underdetermined fault equation, and the algorithm is very simple and facile, not necessary to compile specific program for every particular condition.

首先给出求解故障方程的Monte Carlo算法，该算法能够保证得到满足故障方程的全部合理解；能够简单地用于各种故障相关性准则(例如各种残差向量范数准则)以及亚定故障方程的求解问题；并且算法简单易行，无需为每个特定情况专门编制计算程序。

The main contributions are as follows:(1) The decoherence suppression of N level Markovian systems is investigatedby the optimal control in the coherence vector representation. The N level Markoviansystem can be described by the master equation, and possesses a standard bilinear formin the coherence vector representation.

本论文利用密度矩阵相干向量表示研究了退相干效应的抑制和相应的纠缠控制问题，论文主要工作包括：(1)在密度矩阵相干向量表示下，利用最优控制研究N能级Markov系统的退相干抑制问题。N能级Markov系统可以用主方程模型描述，在相干向量表示下具有标准的双线性形式。

For the regular curves, we find two Killing fields for the purpose of integrating the structural equations of the p-elastic curves and express the p-elastica by quadratures in a syste...

对于正则曲线的情形，我们发现了两个用于求解p-弹性曲线的结构方程的Killing向量场并用积分将p-弹性曲线在一个柱面坐标系中表示出来，而对仿射星形曲线的情形，我们用积分方法解出了欧拉-拉格朗日方程，利用Killing向量场及线性李代数s1(2，R)、s1(3，R)和s1(4，R)的分类将高阶结构方程降为一阶线性方程，因此我们用积分完全解出了中心仿射p-弹性曲线。

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。