杜邦自行车的部分和他们的焦点性质

IF 0.6 4区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Symbolic Computation Pub Date : 2024-11-26 DOI:10.1016/j.jsc.2024.102402

Eriola Hoxhaj , Jean Michel Menjanahary , Rimvydas Krasauskas

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引用次数: 0

摘要

利用拉盖尔几何的环形模型阐明和推广了以环面剖面形式出现的曲线的焦点特性。基于这些发现，所有具有给定平面或球面截面的杜宾环都被表征为具有特定三正交坐标系的独特延伸的几个表面族。

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Sections of Dupin cyclides and their focal properties

The cyclographic model of Laguerre geometry is utilized to clarify and generalize the focal properties of curves appearing as torus sections. Based on these findings, all Dupin cyclides with a given planar or spherical section are characterized as several surface families having unique extensions to certain three-orthogonal coordinate systems.

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来源期刊

Journal of Symbolic Computation 工程技术-计算机：理论方法

CiteScore

2.10

自引率

14.30%

发文量

审稿时长

142 days

期刊介绍： An international journal, the Journal of Symbolic Computation, founded by Bruno Buchberger in 1985, is directed to mathematicians and computer scientists who have a particular interest in symbolic computation. The journal provides a forum for research in the algorithmic treatment of all types of symbolic objects: objects in formal languages (terms, formulas, programs); algebraic objects (elements in basic number domains, polynomials, residue classes, etc.); and geometrical objects. It is the explicit goal of the journal to promote the integration of symbolic computation by establishing one common avenue of communication for researchers working in the different subareas. It is also important that the algorithmic achievements of these areas should be made available to the human problem-solver in integrated software systems for symbolic computation. To help this integration, the journal publishes invited tutorial surveys as well as Applications Letters and System Descriptions.