J4 ›› 2010, Vol. 23 ›› Issue (6): 20-25.
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朱鹏华
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SHU Peng-Hua
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摘要:
本文通过研究过定点的二次曲面动弦中点的轨迹方程∑′和定点与二次曲面上动点之间定比分点的轨迹方程∑″,将十七种二次曲面的衍生轨迹∑′和∑″的保型性问题进行讨论,并得到关于二次曲面保型性的两个重要结论.
关键词: 二次曲面, 保型性, 保型变换
Abstract:
This paper addresses the orbit equation ∑′ passing a fixed point and the midpoint in the secant of a fixed quadratic surface and the orbit equation ∑″ of a point dividing a line segment in a given ratio between a fixed point and a moving point of a quadratic surface. This paper further presents such orbit equations as ∑′ and ∑″ for seventeen quadratic surfaces and derives two important conclusions for typepreserving of quadratic surfaces.
Key words: quadratic surface, typepreserving, typepreserving transformation
中图分类号:
O182.2
朱鹏华. 二次曲面的保型性探讨[J]. J4, 2010, 23(6): 20-25.
SHU Peng-Hua. On Simplification of TypePreserving[J]. J4, 2010, 23(6): 20-25.
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