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.

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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.

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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.

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I think that book will give you all the basic principles you need in calculus of one variable, more variables, elementary complex numbers, maybe solving some problems with vectors and so on, which you're going to get into.

我想那本书会给你所需的所有基本知识,包括一元和多元微积分,简单的复数运算,可以解决一些与矢量有关的问题,而这正是你们将要学的

耶鲁公开课 - 基础物理课程节选