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 - <p style="text-align: justify;">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.</p>