TY - JOUR T1 - Stable Border Bases for Ideals of Numerical Cartesian Sets AU - Liu , Lili AU - Li , Zhe AU - Zhang , Shugong JO - Communications in Mathematical Research VL - 3 SP - 243 EP - 252 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19089.html KW - empirical point, numerical cartesian set, vanishing ideal, border base. AB -

In this paper, we discuss a special class of sets of bivariate empirical points, namely, numerical cartesian sets. We find that the stable quotient bases for numerical cartesian sets are unique if they exist. Furthermore, the corresponding border bases are the unique stable border bases for the vanishing ideals of numerical cartesian sets.