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四维空间中的复函数图形及其在二维平面上的投影
引用本文:谢步瀛. 四维空间中的复函数图形及其在二维平面上的投影[J]. 同济大学学报(自然科学版), 1995, 23(1): 113-116
作者姓名:谢步瀛
作者单位:同济大学结构工程学院
摘    要:复变函数的自变量是两维的,因变量也是两维的,因此复变函的图形是四维的,文中讨论了利用四维空间在二维产面上投影的图示理论绘制复函数图形,并讨论了该图形的一些应用。

关 键 词:四维空间 复变函数 图形 复曲面 二维平面

Figure of Complex Function in 4 Dimensional Space and Its Projection on 2 Dimensional Plane
Xie Buying. Figure of Complex Function in 4 Dimensional Space and Its Projection on 2 Dimensional Plane[J]. Journal of Tongji University(Natural Science), 1995, 23(1): 113-116
Authors:Xie Buying
Abstract:Both independent and dependent variables of complex function are of tWo dimensions. So the graph of complex function is of four dimensions. In this paper, a method is discussed, in which the graph of complex function is drawn according to the project theory of four dimensional space onto two dimensional plane. The application of the graph is also discussed.
Keywords:Four dimensional space  Complex function  Graph of complex function  Complex surface
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