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The Bezout Number of Piecewise Algebraic Curves

The Bezout Number of Piecewise Algebraic Curves
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摘要 Based on the discussion of the number of roots of univariate spline and the common zero points of two piecewise algebraic curves, a lower upbound of Bezout number of two piecewise algebraic curves on any given non-obtuse-angled triangulation is found. Bezout number of two piecewise algebraic curves on two different partitions is also discussed in this paper. Based on the discussion of the number of roots of univariate spline and the common zero points of two piecewise algebraic curves, a lower upbound of Bezout number of two piecewise algebraic curves on any given non-obtuse-angled triangulation is found. Bezout number of two piecewise algebraic curves on two different partitions is also discussed in this paper.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第12期2535-2544,共10页 数学学报(英文版)
基金 Supported by the Educational Commission of Hebei Province of China (Grant No. Z2010260) National Natural Science Foundation of China (Grant Nos. 11126213 and 61170317)
关键词 Bezout number piecewise algebraic curve periodic spline univariate spline Bezout number, piecewise algebraic curve, periodic spline, univariate spline
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参考文献8

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