采用参数化和变异思想，建立了一类新的参数化P序斜变换：推广的参数化P序斜变换，并讨论了这类变换的快速算法。
Propose a class of new orthogonal transforms: generalized parametric P-ordered slant transforms by using the idea of parameterization and mutation. Discuss the fast implementation of these transforms.
为进行斜齿锥齿轮副的齿面接触分析，并直观显示齿面接触区，利用圆向量函数和球向量函数的矢量回转和坐标变换方法，建立了斜齿锥齿轮齿面接触分析的数学模型；
To analyze and display the contact of skew bevel involute gears, a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.
为进行斜齿锥齿轮副的齿面接触分析，并直观显示齿面接触区，利用圆向量函数和球向量函数的矢量回转和坐标变换方法，建立了斜齿锥齿轮齿面接触分析的数学模型；
To analyze and display the contact of skew bevel involute gears, a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.
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