@Article{JCM-23-503, author = {}, title = {Piecewise Semialgebraic Sets}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {5}, pages = {503--512}, abstract = {

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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8835.html} }