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 $N-4$.

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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

Issue

Section

Mathematics