计算半代数集的Hausdorff边界测度
Computing the Hausdorff boundary measure of semi-algebraic sets
摘要:
给定一个紧凑的基本半代数集,我们提供了一个数值方案,以接近所需的,任何有限数量的时刻的Hausdorff措施的边界上的这一设置。这也允许人们近似感兴趣的量,如长度,表面,或更一般的积分的边界上,尽可能接近所需的从上到下。
英文摘要:
Given a compact basic semi-algebraic set we provide a numerical scheme to approximate as closely as desired, any finite number of moments of the Hausdorff measure on the boundary of this set. This also allows one to approximate interesting quantities like length, surface, or more general integrals on the boundary, as closely as desired from above and below.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。