ON THE UNIQUENESS OF ALGEBRAIC CURVES

V.H. Bayramyan; H.A. Hakopian; S.Z. Toroyan

doi:10.46991/PSYU:A/2015.49.1.003

ON THE UNIQUENESS OF ALGEBRAIC CURVES

Authors

V.H. Bayramyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia
H.A. Hakopian Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia
S.Z. Toroyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2015.49.1.003

Keywords:

polynomial interpolation, independent nodes, algebraic curves

Abstract

It is well-known that $N -1$ $n$-independent nodes uniquely determine curve of degree $n$, where $N = (1/2)(n + 1)(n + 2)$. We are interested in finding the minimal number of $n$-independent nodes determining uniquely curve of degree $k\leq1$. In this paper we show that this number for $k=n-1$ is $N-4$.

Downloads

Published

2015-03-16

How to Cite

Bayramyan, V., Hakopian, H., & Toroyan, S. (2015). ON THE UNIQUENESS OF ALGEBRAIC CURVES. Proceedings of the YSU A: Physical and Mathematical Sciences, 49(1 (236), 3–7. https://doi.org/10.46991/PSYU:A/2015.49.1.003