查询词典 vector equation

The optimal control law obtained consists of linear analytic functions and a compensation term which is a series sum of the adjoint vectors. The analytic functions can be found by solving a Riccati matrix difference equation and a matrix difference equation. The compensation term can be obtained by a recursion formula that solves adjoint vector equations.

得到的最优输出跟踪控制律由状态向量的线性解析函数和伴随向量级数形式的补偿项组成，其解析函数由一次性求解Riccati矩阵差分方程和矩阵差分方程得到，补偿项由求解伴随向量差分方程的递推公式得到。

To obtain the unknown intermediate vector function needs to solve a Fredholm integral equation of the first kind, the solution of which can only be determined with a difference of a vector proportional to the normal of the boundary and its integration on the boundary must zero.

可是要求出该积分表达式中待定的边界上的向量密度函数要导致求解第一类Fredholm 积分方程。

The constitutive equation between current density vector and electric field strength vector is tranformed into s-domain by the principle of Laplace transform,and the inverse Laplace transform is adopted for the explicit equations between them in time-domain. Finally through exponential time stepping,the FDTD iteration equations are obtained,which can be easily solved in discrete-time-domain.

该方法是将电流密度矢量与电场强度矢量之间的本构方程基于拉普拉斯变换原理转到复频域，然后再逆变换到时域得到它们之间显式的方程，最后再结合指数差分，得到离散时域的显式的FDTD迭代方程，解决了本构方程中电流密度矢量的分量相互耦合而不易直接离散的困难。

Using the powerful calculation capability of MATLAB for matrix,and adopting vector ring and vector chain equation,the paper calculates and imitates the characteristic of kinematics and kinetics about equivalent force model of plane machinery.

利用MATLAB软件对矩阵强大的计算能力，采用矢量环与矢量链方程对平面机构的等效力学模型的运动学特性和动力学特性进行计算仿真，主要针对机构的速度波动特性进行了仿真和分析。

First, structure tensor is calculated to gain vector field for characterizing local structure of image. And then, total variation partial difference equation is imposed for smoothing vector field. Based on this we use line integral convolution for guide the stroke to generate virtual special effect image with fluctuant sense. Last, mergering with original real image, cylindrical panorama with virtualized relationship controlled by time can be generated, which accomplished the character of surpass the time and space in virtual reality system.

该方法通过计算结构张量获得图像曲线走向矢量场，以此刻画图像局部结构；并采用全变分偏微分方程对曲线走向矢量场自适应滤波平滑处理；在此基础上利用线积分卷积指导画笔走向模拟生成线条波动感虚化效果图像；最后结合原始真实图像和虚化效果图像，实现了一种基于时间变量的柱面场景虚化关联算法，并为虚拟现实系统超越现实时空的需要提供了一种新思路。

By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations.

用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。

The thesis also gives the estimated upper bounds of error decision probability. When the compressor is confined to be a lattice vector quantizer, a explicit mathematic equation for the rate of the performance convergence to the optimum is derived. On the other hand, Distortion Ratio Aproachs to the design of testing system on the basis of vector quantization are put forward, and methods for building the variable length decision tree as well as the fixed length one presented.

在算法方面，提出了失真比矢量量化检验器的设计方法以及可变长和固定码长分类判决树的生成算法；为了解决以矢量量化器为核心的处理系统运算量大，不易实时实现的问题，论文中引入了熵减的概念，在此基础上提出一种快速最近邻搜索编码方法，理论分析及实验结果均证实了这种算法的有效性。

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。

Prediction approach of potentiality for environmental factors pH,temperature and dissolution oxygen on yeast fermentation was proponed,Based on constructing the membership functions of environmental factors on fermentation process,the fuzzy relation equation model was formed from fuzzy evaluation vector,membership grade matrix and factor weight vector.

提出一种预测环境因子pH、温度和溶氧对酵母发酵影响潜力的方法。在构造环境因子对发酵过程评价的隶属函数的基础上，建立由模糊评价向量、隶属度矩阵和因子权重向量构成的模糊关系方程模型。

In this equation, A is the area normal vector of face f directed from cell c0 to c1, ds is the distance between the cell centroids, and ~es is the unit normal vector in this direction.

在这个方程中A是从单元格c0 指向单元格c1 的表面f的标准向量围成的面积，ds 是两个单元格重心间的距离， s 是这个方向的单元向量。

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。