高維度多面體分割及體積之計算

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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:	[Department of Applied Mathematics and Data Science] Research Paper

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