插补运算的指标影响着工件的轮廓精度和表面粗糙度，并且影响机床的最大进给速度和生产效率，所以采用高效的插补算法和控制策略可提高加工精度和生产效率。
The indexes of interpolation operation affect not only the profile precision and surface roughness of the workpiece, but the maximal marching velocity and manufacture efficiency of the machine.
公路三维表面模型是公路三维设计的基础，其关键是设计模型和地表模型的叠加运算。
Road surface model is basis of highway three dimension design, the key is the overlaid compute of design model and terrain model.
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.
基于自由曲面方程，由矩阵运算得出刃线运动包络面，对球头铣刀加工的表面形貌进行了建模和仿真。
Based on the models and the free-form surface formula, the moving envelope surface of ball-end mill is obtained by means of matrix calculating, the topography is modeled and simulated.
谐振子算符的代数运算方法被用于研究磁场中同时与表面光学声子及表面声学声子相互作用的二维电子。
The method of the harmonic oscillator operator algebra has been used to study the two-dimensional polaron in a magnetic field.
为了计算任意两表面间的旋量，定义了两种操作规则：顺序运算和并行运算；
In order to determine the torsor between any two surfaces, two governing rules are defined: the union and the intersection.
为了计算任意两表面间的旋量，定义了两种操作规则：顺序运算和并行运算；
In order to determine the torsor between any two surfaces, two governing rules are defined: the union and the intersection.
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