坐标系的

Applying the law of conservation of mass,movement theorem of steady flow , and applying the mathematical method of stream function with the consideration of the axis symmetry,the three components of velocity quantum of the flow are deduced in detail.

本文详细阐述了旋风分离器内流动在球坐标系中的数学表述和结果，应用质量守恒定律和定常流动的运动定律，在轴对称的考虑下，用流函数方法详尽推导了流动的三个速度分量。

According to the fundamental of vector control,a digital closed-loop control system of permanent magnet synchronous motor based on dsPIC30F6010 was designed and a model of permanent magnet synchronous motor in the estimation two phase rotating reference frame was introduced and an extended back electromotive force equation was deduced.

根据永磁同步电动机矢量控制的基本原理，设计了一种基于 dsPIC30F6010的无位置传感器永磁同步电动机控制系统，并介绍了在估算两相旋转坐标系下的PMSM模型，推导出了反电势方程的扩展形式。

First, right coordinate system is chosen to analyse force and torque in the bomb flying course , particle ballistics model of vertical attack face is built ,after that, ballistics plan composed of four phases ,namely slide 、transition、dive and attacking angle backing to zero , is designed which can achieve demands for both cannon-shot and precision.

首先选取合适的坐标系分析了制导炸弹在飞行过程中所受的力和力矩，建立了纵向攻击面的质点弹道模型。在此基础上，按既要满足一定射程又要满足一定精度的技战术要求设计、优化出包含滑翔、过渡、俯冲和攻角回零四段的方案弹道。

It is observed that each of the N nodes of an undirected double loop network can be represented by its coordinates in Cartesian coordinate system as mod N.

在这部分，我们主要是利用无向双环网的N个节点中的每个点都可用平面坐标系中的坐标，采用mod N的方式表示，从而发现N个节点在坐标平面中周期性地出现。

First, by the composition theorem of acceleration of influence move, strict mechanical analysis and accurate mathematical computations, we have acquired the presentation formula of acceleration of the movable mass of the gyroscope rotating in a constant angular velocity in an inertia coordinate system.

利用牵连运动的加速度合成定理，通过严格的力学分析和严密的数学演算首先得到其活动质量当陀螺仪在惯性坐标系中作定常角速度转动时的加速度表达式。

In Chapter 7, a controllability problem for a three dimensional parabolic control system with nonlinear boundary is discussed.

本文的第七章研究了柱坐标系下的三维热传导方程的非线性边界控制系统的能控性问题。

A curve coordinate system which is suitable for variable height curved box-girder were established. The flexure, torsion and distortional warping displacement functions were established, and the strain-deformation equations were obtained, a spatial finite element analysis method of trapeziform cross section variable-curvature box-girder with vertical symmetrical axis was also presented.

建立适合于变高度曲线箱梁的曲线坐标系，推导了变曲率、变高度箱梁弯曲、翘曲扭转和畸变的位移方程和应变-位移关系式，提出了具有一个竖直对称轴的变高度变曲率曲线箱梁的薄壁曲梁空间分析有限元方法。

Analyse the tooth geometry of Klingelnberg Cyclo-Palloid spiral bevel gear.,according to the relative position and kinematic relation of the cutter heads,virtual crown gear and the processed wheel blank,established the system of coordinates of the gear cutting, dedcuced the tooth face equation of the virtual crown gear, according to relations of the gear cutting and space theory of engagement, deduced the tooth face equation of klingelnberg Cyclo-Palloid spiral bevel gear, and drawing the three-dimensional graphs of the virutal crown gear and Klingelnberg Cyclo-Palloid spiral bevel gear according to the design and setting parameters.

根据铣齿加工中刀盘、摇台和轮坯的相对位置和相对运动关系建立了切齿啮合坐标系，由矢量的旋转推导了产形轮齿面方程；根据空间啮合原理和切齿啮合关系推导了被加工齿轮的齿面方程；由设计参数和铣齿调整参数计算得到齿面离散数据，绘制了产形轮和摆线齿锥齿轮的三维齿形。

Finally, the proposed fully second order accurate projection method on nonstaggered grids is extended successfully to curvilinear coordinates and moving mesh cases.

最后，本文提出的非交错网格上的完全二阶精度的投影方法，在一般坐标系和动网格中到了成功的应用。

Geometrically nonlinear strain-displacement relations, the total potential functions and equilibrium equations of the tires are derived with respect to the orthogonal curvilinear coordinates for details.

以轮胎的内轮廓曲面为参考面，用正交曲线坐标描述轮胎的几何变形，详细推导了正交曲线坐标系下轮胎的几何非线性的应变—位移公式和平衡微分方程。

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。