Shapes of Regular Curves Defined by Hyperbolic Functions  

由双曲函数定义的正则曲线的形状

作　　者：ZHNAG Yanfang JIN Chenxiang FAN Changhong 张雁芳;金辰翔;范常红(湖州师范学院理学院,浙江湖州313000;上海航天设备制造有限公司,上海200240)

机构地区：[1]School of Science,Huzhou University,Huzhou 313000,Zhejiang,China [2]Shanghai Aerospace Equipments Manufacturing Co.,Ltd.,Shanghai 200240,China

出　　处：《Wuhan University Journal of Natural Sciences》2024年第6期495-498,共4页武汉大学学报(自然科学英文版)

基　　金：Supported by the Curriculum Ideological and Political Teaching Research Project of Huzhou University (JGSZ202323)。

摘　　要：This article discusses the shapes of a class of regular curves defined by hyperbolic functions.We first make a preliminary judgment using its torsion and then get more precise descriptions using its curvature and algebraic invariants.In addition,we study the shape of the generalization of the curve.本文讨论了一类由双曲函数定义的正则曲线的形状。我们首先利用曲线的挠率对曲线进行初步判断,然后利用曲率和代数不变量对曲线进行更精确的描述。此外,我们还对这类曲线更一般的情况进行了研究。

关 键 词：regular curves TORSION CURVATURE algebraic invariants 

分 类 号：O175[理学—数学]