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Asymptotic Behavior of an Implicit Algebraic Plane Curve
- Source :
- e_Buah Biblioteca Digital Universidad de Alcalá, instname
- Publication Year :
- 2013
- Publisher :
- arXiv, 2013.
-
Abstract
- In this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavior of two implicitly defined algebraic plane curves at the infinity. As an important result, we prove that if two plane algebraic curves have the same asymptotic behavior, the Hausdorff distance between them is finite.
- Subjects :
- Infinity branches
Plane curve
Plane (geometry)
Matemáticas
media_common.quotation_subject
Mathematical analysis
Aerospace Engineering
Convergent branches
Implicit algebraic plane curve
Infinity
Computer Graphics and Computer-Aided Design
Asymptotic behavior
14H50
Mathematics - Algebraic Geometry
Hausdorff distance
Modeling and Simulation
Automotive Engineering
Approaching curves
FOS: Mathematics
Algebraic curve
Algebraic number
Algebraic Geometry (math.AG)
Mathematics
media_common
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- e_Buah Biblioteca Digital Universidad de Alcalá, instname
- Accession number :
- edsair.doi.dedup.....ff3b3725d68c19e62b46f6cebed5b219
- Full Text :
- https://doi.org/10.48550/arxiv.1302.2522