坐标系的

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

According to road designing data of mileage,coordinate,azimuth angle of tangent or straight line,curve radius,the length of spiral line from main point of curve or straight line starting point,we can calculate the coordinates of center line points and boundary line point s in any form of road under the same coordinate system.

根据线路设计资料提供的曲线主点里程、坐标、切线方位角、曲线半径、缓和曲线长度的已知数据，计算出任意线形的中桩、边桩在线路统一坐标系中的坐标，利用全站仪极坐标放样程序，以线路附近的控制点或加密点为测站，准确、快速放样各点。

MATLAB language is used to develop the computer simulation program by means of the dynamic mathematical model of three - phase induction motors in phase quantities, The program is applied to series asymmetrical resistance starting operation process of three - phase cage - type induction motors in one phases or two phases of the stator circuit.

为了得到起动特性，根据三相异步电动机在相坐标系下的瞬态数学模型，编写计算机仿真程序，通过实例对三相笼型异步电动机的定子电路一相串联电阻以及两相串联电阻时的起动过程进行仿真计算，对仿真结果进行比较分析；用对称分量法分析定子电路一相串联电阻以及两相串联电阻时的不对称系统，初步计算起动电阻的数值，然后通过计算机仿真的调整来较准确地加以确定。

At the beginning the controllable techniques of the converter in the world are reviewed. Its operational principle and internal parameter relation are analyzed. The model of system in different coordinates is presented.

论文中首先回顾了三相变流器控制方式的发展及变化趋势，针对本文的研究对象分析了其工作原理和内部参数间的关系，给出了系统在不同坐标系下的数学模型，为系统的理论分析和实验奠定了基础。

The Fourier transfermation about the azimuthal angle and Hankeltransfermation about the radial dirction have been used to turn the basic dis-placement equatioons and constitutive equations under cylindrical coordinatesystem into a system of second order ordinary differential equations in thewavenumber domain,by use of the initial prarameter method to solve differ-ential equations.

利用关于方位角的Fourier变换及关于径向的Hankel变换，将柱坐标系下位移基本方程和本构方程转化为波数域内二阶常微分方程组，利用求解微分方程的初参数法，建立了介质层的传递矩阵，导出了层状弹性半空间在地表作用任意静荷载情形下的解析解。

Of or relating to a transformation of coordinates that is equivalent to a translation, contraction, or expansion with respect to a fixed origin and fixed coordinate system.

仿射的与一个固定原点及固定坐标系有关的等价于平移、收缩或展开的坐标变换式的，与其相关的

Based on the analysis of the affected extent of the neutral-point potential by every space vector on all kinds of voltage and current conditions the concept named neutral point control grade was proposed for the first time in this paper. The calculation formulas of NPCG were presented as well. Based on NPCG, a novel modulation scheme called optimized 3D space vector modulation (O3DSVM) scheme was proposed in a-b-0 coordinates based on the translation principle of axes, by which the space vectors with higher NPCG values are selected to synthesize the object vector to suppress the unbalance of the neutral-point potential.

该文通过对各种电流电压状态下每个三维空间矢量对直流中点电位的影响进行分析，提出了"中点控制度"(neutral-point control grades，NPCG)的概念，并给出了NPCG的计算公式；基于NPCG，在a-b-0坐标系下提出一种基于坐标平移原理的新型"三维矢量优化选择调制策略"(optimized 3D space vector modulation，O3DSVM)，该调制策略能优化选择NPCG值较高的矢量以合成目标矢量，从而达到最大程度控制直流中点电位偏移的目的。

The outside observer claims : the velocity of sound, spreading in the moving room and determined in my c.s., is not the same in all directions.

外面的观察者宣称：在运动着的房间内传播的而用我的坐标系来确定的声音的速度，在各个方向并不相等。

As a general excitation source, planar wave is often used in research on scattering problems.

电磁波的远场可以视为平面波，在目标电磁散射特性的研究中常常被作为激励源，给出了柱坐标系下完整的总场-散射场区的连接边界条件，从而模拟了平面波在自由空间的传播。

Finally, detailed analysis on main problems existing in present research on windage yaw phenomenon is conducted.

所采用的静态受力平衡算法存在的问题进行了详细分析，给出了一种最大风偏角的修正方法；在确定杆塔与导线之间最小空气间隙时，传统做法是通过复杂的几何作图来估算，文中通过在杆塔计算模型中引入笛卡儿二维坐标系使计算更为简洁方便，且提高了准确度；最后对目前风偏现象研究中存在的几个主要问题进行了详细分析。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。