Shapes of Regular Curves Defined by Hyperbolic Functions

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.

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Publication Details

Journal
Wuhan University Journal of Natural Sciences
Published
2024-12-01
DOI
https://doi.org/10.1051/wujns/2024296495
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
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article

Shapes of Regular Curves Defined by Hyperbolic Functions

Chenjie Fan, Yanfang ZHNAG, Chenxiang JIN
Wuhan University Journal of Natural Sciences
Advanced Numerical Analysis Techniques
article

Shapes of Regular Curves Defined by Hyperbolic Functions

Chenjie Fan, Yanfang ZHNAG, Chenxiang JIN
article en

Abstract

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.

Wuhan University Journal of Natural SciencesVol. 29(6)
Huzhou Normal University (CN), Shanghai Power Equipment Research Institute (CN), Shanghai Micro Electronics Equipment (China) (CN)
Openalex Percentile: Top 73%
Advanced Numerical Analysis Techniques
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