Closed-Form Solution of Conic in Point-Line Enumerative Problem of Conic

IF 0.6 4区数学 Q3 MATHEMATICS

Graphs and Combinatorics Pub Date : 2024-05-06 DOI:10.1007/s00373-024-02793-6

Yang Guo

引用次数: 0

Abstract

We use the reciprocal transformation to propose the closed-form solutions to the conics through m points and tangent to n lines satisfying \(m+n=5\) in general position. We also derive the algebraic and geometric necessary and sufficient conditions for the non-degenerate real conics.

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圆锥曲线点-线枚举问题的闭式解法

我们利用倒易变换提出了通过 m 个点、与 n 条直线相切、满足 \(m+n=5\) 的圆锥在一般位置上的闭式解。我们还推导出了非退化实圆锥的代数和几何必要条件和充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Graphs and Combinatorics 数学-数学

CiteScore

1.00

自引率

14.30%

发文量

160

审稿时长

6 months

期刊介绍： Graphs and Combinatorics is an international journal devoted to research concerning all aspects of combinatorial mathematics. In addition to original research papers, the journal also features survey articles from authors invited by the editorial board.