利用活动标架法研究共形几何中的子流形，构造新的极值子流形。
We use the method of moving frame to study submanifolds in conformal differential geometry, and construct new minimal submanifolds.
运用活动标架和回转运动群对其啮合方程和啮合效率进行了分析研究；
The meshing equation and the formula of meshing efficiency are drawn by using active coordinate and rotating matrix operators.
采用迭代法求解该优化方程来逼近运动轨迹任意处伪活动标架的旋转变换矩阵。
An iteration method is presented to solve the optimization function for approximating the rotation transformation part of the pseudo moving frame at any position of the motion trajectory.
结合初始活动标架方位、传感器结构，运用递推算法计算管道中心线局部几何性质参数。
Combined with the initial position of the frenet frame and sensor structure, the local geometric parameters of the pipe Central Line can be calculated by using recurrence algorithm.
本文提出了一种以网络结点为基础，在齿面上的活动标架里，计算齿轮在不同啮合位置的接触点，以求得接触迹线的新方法。
This paper proposed a new method that was based on network node and applied to compute tooth contract-point line of engaged gears for different mesh position.
本文提出了一种以网络结点为基础，在齿面上的活动标架里，计算齿轮在不同啮合位置的接触点，以求得接触迹线的新方法。
This paper proposed a new method that was based on network node and applied to compute tooth contract-point line of engaged gears for different mesh position.
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