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PIECEWISE SEMIALGEBRAIC SETS
Chun-gang Zhu and Ren-hong Wang
Journal of Computational Mathematics
Vol. 23, No. 5 (SEPTEMBER 2005), pp. 503-512
Stable URL: http://www.jstor.org/stable/43693259
Page Count: 10
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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 Rn satisfying a boolean combination of multivariate spline equations and inequalities with real coefficients. Moreover, the stability under projection and the dimension of Cµ piecewise semialgebraic sets are also discussed.
Journal of Computational Mathematics © 2005 Institute of Computational Mathematics and Scientific/Engineering Computing