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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/5828

    Title: 高維度多面體分割及體積之計算
    Other Titles: Computations of Simplicial Subdivision and Volume of General Polytopes in High Dimensional Spaces
    Authors: 吳孟年
    Contributors: 淡江大學數學學系
    Date: 2004
    Issue Date: 2009-03-16 12:53:08 (UTC+8)
    Abstract: 由於多項式方程的孤立解數目, 可透過混合體積, 或藉由Grobner basis (「歌如伯 納」基底), syzygies (「西齊基」,閤衝) 等的計算而得, 這些多少涉及凸多面體的計算, 特別 是整數點的凸多面體。 然而, 計算「凸多面體體積」這個問題本身的性質, 又與全混(fully mixed), 半混(semi-mixed), 穩定混包(stable mixed cells) 大為不同, 故而應該另外處理 這一類的問題。
    Appears in Collections:[Graduate Institute & Department of Mathematics] Research Paper

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