TY - JOUR
T1 - Piecewise Semialgebraic Sets
AU - Chun-Gang Zhu & Ren-Hong Wang
JO - Journal of Computational Mathematics
VL - 5
SP - 503
EP - 512
PY - 2005
DA - 2005/10
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8835.html
KW - Algebraic geometry, Semialgebraic geometry, Tarski-Seidenberg Principle, Multivariate splines, Piecewise semialgebraic sets.
AB - <p style="text-align: justify;">Semialgebraic sets are objects which are truly a special feature of real algebraic geometry. This paper presents the piecewise semialgebraic set, which is the subset of $R^n$ satisfying a boolean combination of multivariate spline equations and inequalities with real coefficients. Moreover, the stability under projection and the dimension of $C^{\mu}$ piecewise semialgebraic sets are also discussed. &nbsp;</p>