线段与正多边形上均匀分布的条件量化
Conditional quantization for uniform distributions on line segments and regular polygons
AI总结：
本文针对Borel概率测度的条件量化问题，研究了单位线段与内接于单位圆的m边（m≥3）正多边形上均匀分布的条件量化特性。
摘要：
Borel概率测度的量化指的是用支撑集包含有限个元素的离散概率来估计给定概率的思想。若量化过程中支撑集内的部分元素是预先选定的，则称该量化为条件量化。本文研究了单位线段以及内接于单位圆的m边正多边形（其中m≥3）上均匀分布的条件量化问题。
英文摘要：
Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. If in the quantization some of the elements in the support are preselected, then the quantization is called a conditional quantization. In this paper, we investigate the conditional quantization for the uniform distributions defined on the unit line segments and $m$-sided regular polygons, where $m\geq 3$, inscribed in a unit circle.
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。
