向量方程

In chapter one,first we use the equation form on the plan to give the vector formof the system equation.

在本文第一章中，首先引用平面上的方程，给出了其向量形式的表示，再利用其实际意义：以速度u前进，以速度v旋转。

This paper is devoted to the study of a control problem associated to a nonlinear second order vector differential equation with pointwise state constraints.

本文主要研究一类具有状态约束的由向量微分方程所支配的光滑和非光滑利普希茨控制问题。

Using this methood, the vector system equation appllicable to simulation can be established, and numeric simulation can also be conveniently conducted.

利用这种方法可以有效地得到适用于仿真的向量系统方程，也便于直接进行数字仿真。

Robust stability, interval vector differential equation systems, interval discrete time-delay systems, interval matrix polynomials, Lyapunov approach

鲁棒稳定性，区间向量微分方程系统，区间离散时滞系统，区间矩阵多项式，李雅普诺夫方法

The main elements affecting load coupling characteristics among channels were analysed based on joint space dynamics equations of Stewart platform, and four kinds of load coupling evaluation index were presented with the matrix and vector norm theory.

基于Stewart平台关节空间动力学方程，分析了影响通道间负载交联耦合的主要因素，采用矩阵和向量范数理论提出了4种负载交联耦合评价指标。

The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.

第一个结论借助代数Riccati方程的解及半群理论性质推导出系统可最优化；其次讨论了系统算子的特征向量形成Riesz基时，使其系统可最优化的控制函数的具体数学表达式；最后总结了系统可最优化研究的最新结论和研究展望。

In Chapter 2, we investigate the subelliptic equations associated with Hormander vector fields.

第二章研究与Hormander向量场相关的非线性次椭圆方程。

In Chapter 4, we study nonlinear subelliptic equations on generalized Baouendi-Grushin vector fields.

第四章研究与广义Baouendi-Grushin向量场相关的非线性次椭圆方程。

Considering three kinds of most important and closely related vector fields, we investigate the maximum principles and L~p estimates to some nonlinear subelliptic equations.

本文以极大值原理和解的L~p估计为主线，涉及到三类最具有代表性并且也是密切相关的向量场，研究了与之相关的非线性次椭圆方程。

Deep well drillstring is scatter to umpty dimensional beam unit along axes. Lengthwise vibration equation of whole drillstring is found with three-dimensional dynamic finite element method. With this equation and improved Ritz Vectors, dynamic response analysis and calculation of drillstring is carried out, also, the method of vibration model splice is used.

将深井钻柱沿轴线离散为若干个空间直粱单元，用三维动力有限元法进行振动分析，得到整体钻柱结构的纵向振动方程，用改进的Ritz向量法及振型迭加法对钻柱进行动力响应分析和计算。

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。