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.
由微分几何学原理得到计算主曲率的一般公式，克服了由薄板小扰度弯曲理论得到的主曲率计算公式的局限性。
The general equations of principal curvature derived from differential geometry overcame the limitations of previous equations derived from the theory of elastic thin plate with small deflection.
从微分几何学的角度，探讨了在五坐标数控机床上采用圆柱形刀具线接触加工自由曲面的几何学原理，分析了刀具面与被加工曲面二阶密切的条件。
On the basis of the differential geometry, the geometrical theory of machining free form surface by cylindrical cutter in 5-axis NC machine tool is investigated.
这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。
The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.
这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。
The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.
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