Title :
The Geometric Connections of Two Kinds of Complex Number
Author :
Rui, Wang ; Xuegang, Yu
Author_Institution :
Sch. of Sci., Tianjin Univ. of Commerce, Tianjin, China
Abstract :
Hyperbolic imaginary unit and elliptic imaginary unit have corresponding complex spaces respectively. By utilizing Gudermannian function, the geometric relationships of two kinds of functions of a complex variable and complex planes can be established. The geometric connections of hyperbolic function and trigonometric function can be founded in the complex plane as well.
Keywords :
geometry; number theory; Gudermannian function; complex number; complex plane; complex space; complex variable; elliptic imaginary unit; geometric connection; hyperbolic function; hyperbolic imaginary unit; trigonometric function; Business; Computer science; Equations; Geometry; Information technology; Space technology; Gudermannian function; complex plane; elliptic complex number; hyperbolic complex number; imaginary unit;
Conference_Titel :
Information Technology and Computer Science, 2009. ITCS 2009. International Conference on
Conference_Location :
Kiev
Print_ISBN :
978-0-7695-3688-0
DOI :
10.1109/ITCS.2009.258
