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REAL PIECEWISE ALGEBRAIC VARIETY |
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| Authors: | Ren-hong Wang Yi-sheng Lai |
| 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. |
| Keywords: | Dimension Real piecewise algebraic variety $C^mu$ spline ring. |
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