RT info:eu-repo/semantics/article
T1 Asymptotic behavior of an implicit algebraic plane curve
A1 Blasco Lorenzo, Ángel
A1 Pérez Díaz, Sonia
K1 Implicit algebraic plane curve
K1 Infinity branches
K1 Convergent branches
K1 Asymptotic behavior
K1 Approaching curves
K1 Matemáticas
K1 Mathematics
AB 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.
PB Elsevier
SN 0167-8396
YR 2014
FD 2014-10
LK http://hdl.handle.net/10017/49577
UL http://hdl.handle.net/10017/49577
LA eng
DS MINDS@UW
RD 27-abr-2024