Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8835
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 5 : pp. 503–512
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Algebraic geometry Semialgebraic geometry Tarski-Seidenberg Principle Multivariate splines Piecewise semialgebraic sets.