TY - JOUR
T1 - Real Piecewise Algebraic Variety
AU - Wang , Ren-Hong
AU - Lai , Yi-Sheng
JO - Journal of Computational Mathematics
VL - 4
SP - 473
EP - 480
PY - 2003
DA - 2003/08
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10250.html
KW - Dimension, Real piecewise algebraic variety, $C^\mu$ spline ring.
AB - <p style="text-align: justify;">We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, P-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in $C^\mu$ spline ring.</p>