复变函数在二次曲线正交条件中的应用  

The Application of Knowledge About Functions of a Complex Variable in Discussing The Orthonormal Conditions of The Family of Conic

作　　者：邵益新[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《江苏教育学院学报（自然科学版）》2007年第1期55-58,共4页Journal of Jiangsu Institute of Education(Social Science)

摘　　要：本文利用复变函数中的保形映射知识,分别讨论了两个圆系、两抛物线系以及椭圆与双曲线正交的条件,从而得到了讨论二次曲线系族正交的条件的又一方法.In this paper, we make use of conformal mapping in functions of a complex variable to discuss respectively the orthonormal conditions of two families of circle, two families of parabola, as well as the orthonormal conditions of ellipse and hyperbola. As a consequence, another method to discuss the orthonormal conditions of the family of conic is obtained.

关 键 词：二次曲线族 保形映射 正交 

分 类 号：O174.5[理学—数学] TN911.7[理学—基础数学]