以微分几何学和矢量分析为工具，提出了复杂曲面加工路径规划的新方法。
Using differential geometry and vector analysis, a new tool-path generation method for freeform surface machining is presented.
为了分析线接触回转铣削外圆柱工件表面加工质量，运用矢量运算方法建立了线接触回转铣削外圆柱工件运动学模型。
To analyze the machined quality of cylindrical surface with line-contact rotating-milling, the kinematic model of tool-teeth is built based on vector theory.
为了求解曲柄导杆机构的运动学规律，运用矢量法进行了分析，建立了曲柄导杆机构的运动学数学模型。
Using the vector method to analyse and solve kinematics of the crank-pilot bar mechanism, thus established the kinematical mathematic model of the crank-pilot bar mechanism.
根据鱼类侧线听觉仿生学原理，设计出硅微仿生矢量水声传感器结构。
According to the auditory principle of fish's stereocilium, a bionic hydrophone based on silicon is designed.
但矢量数据的叠置处理极为复杂，为保证算法思想的可靠性，本文着重运用拓扑学中有关复合形的理论，证明了矢量网格法叠置算法若干前提的正确性。
Because of the complication of the overlap, the reliability of the basic idea of the method is also proved with the theory of complexes from topology in this paper.
并选用了矢量法中的摄动法，在主从手运动学模型的基础上分别建立主手和从手机器人的误差模型。
Then the error models of the master-slave manipulators are established separately using the perturbation way of the vector method on the basis of the kinematics model of the master-slave manipulators.
并选用了矢量法中的摄动法，在主从手运动学模型的基础上分别建立主手和从手机器人的误差模型。
Then the error models of the master-slave manipulators are established separately using the perturbation way of the vector method on the basis of the kinematics model of the master-slave manipulators.
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