矢量方程

In this paper, based on the vector analysis and the warping torsion theory of curved thin-walled girders, a set of governing differential equations for the non-uniform torsion of thinwalled spatial helicoid girders is developed.

本文应用矢量运算及薄壁曲线梁翘曲扭转理论，建立了空间螺旋形的薄壁曲线梁基本微分方程，用初参数法解出翘曲扭转微分方程，为进一步进行薄壁螺旋曲线梁的空间结构分析提供理论基础。

This dissertation's main work and innovations is following: 1. The 6DOF kinematic and dynamic equations of motion for multiple thrusters AUV are derived and presented in a compact form using vector notation. The hydrokinetics of the MTAUV is classified anew. The MTAUV has two kinds of work modes which are cruising and hovering. The fluid dynamical mathematics description of the MTAUV is given anew. 2. The kinetics equations of the MTAUV in the low speed hovering are analyzed and studied.

本文主要的工作和创新点主要有以下几个方面：一、采用矢量参数的形式建立了基于多推进器自主水下航行器的六自由度运动学方程和动力学方程；对基于多推进器自主水下航行器的流体动力进行了重新分类，给出了基于多推进器自主水下航行器在巡航工作模式和悬停工作模式两种不同工作状态下流体动力的数学描述。

In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法，特别是三维矢量散射分析中出现的高阶奇异性，给出了两种解决积分方程奇异性的数值方法。

In the new model, the similar approximation can be obtained from the integral expression of vector potential and the Lorentz gauge, therefore a set of state equations like the MNA in traditional PEEC can be built.

在本文的方法中从矢量磁位的积分表达式和洛仑兹规范出发，可导出与传统PEEC模型中的改进节点法方程相应的状态方程。

Dept.of Microwave Eng.,UEST of China,Chengdu 610054,ChinaAbstract:In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法，特别是三维矢量散射分析中出现的高阶奇异性，给出了两种解决积分方程奇异性的数值方法。

During the T-matrix method of calculating light scattering by particle, incident and scattered fields are expand into spherical vector wave functions: which, via their relationship derived from the Maxwell equations, leads to the T-matrix, a transferring matrix between expansion coefficients of fields.

在粒子光散射计算的T矩阵方法中，将入射场和散射场用球矢量波函数展开，通过Maxwell方程推出二者之间的关系-零场方程，可获得散射场和入射场展开式系数之间的传输矩阵-T矩阵。

Feature parameters are achieved by comparing the coefficient of standard representation and general representation. As for cone, parameter of general representation has no explicit geometric meaning and can not reflect design intent.

基于二次曲面的统一表示方程，采用最小二乘法进行参数拟合，通过对比其标准形式和二次曲面的统一表示方程，确定圆柱曲面特征带有明显几何意义的参数圆柱轴线法矢量、圆柱的中心和半径。

Starting from ray equation, the ray parameters can be solved by using the Runge\|Kutta method.

从射线的矢量微分方程出发，采用龙格-库塔方法求解射线参数方程，实现了电离层中的射线追踪。

Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array, a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the Euler's theorem and the coordinate transform is introduced.

由于猎雷艇作为动基座的存在和声纳基阵的框架结构特点，提出了以艇体坐标系为运动坐标系，运用变形的欧拉定理和坐标变换建立声纳基阵相对自身坐标系的旋转运动方程的建模思想；将所建立的矢量形式的动力学模型展开整理，获得了状态矩阵形式的猎雷声纳基阵动力学方程，为系统动力学模型的实用化奠定了基础。

Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array,a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the Eulers theorem and the coordinate transform is introduced. The dynamic equations of minehunting sonar array with the state matrix form are founded by settling the dynamic models with the vector form. So it offers theory foundation for analyzing the dynamic characteristic and designing robust control.

由于猎雷艇作为动基座的存在和声纳基阵的框架结构特点，提出了以艇体坐标系为运动坐标系，运用变形的欧拉定理和坐标变换建立声纳基阵相对自身坐标系的旋转运动方程的建模思想；将所建立的矢量形式的动力学模型展开整理，获得了状态矩阵形式的猎雷声纳基阵动力学方程，为系统动力学模型的实用化奠定了基础。

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。