@Article{JCM-21-4, author = {Wang, Ren-Hong and Yi-Sheng, Lai}, title = {Real Piecewise Algebraic Variety}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {4}, pages = {473--480}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/2003-JCM-10250}, url = {https://global-sci.com/article/85339/real-piecewise-algebraic-variety} }