论文标题
计算半代数集的Hausdorff边界度量
Computing the Hausdorff boundary measure of semi-algebraic sets
论文作者
论文摘要
鉴于紧凑的基本半代数集，我们提供了一个数值方案，以尽可能近的近似值，在该集合的边界上的Hausdorff测量中的任何有限数量的矩。这也允许一个人近似于边界上的长度，表面或更一般的积分等有趣的数量，从上方和下方尽可能地接近所需。
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.
