随机循环四元数
Random Cyclic Quadrilaterals
摘要：
平面凸多边形P的外接圆是一个通过P的所有顶点的圆C。如果这样的C存在，那么P被称为是循环的。将C固定为单位半径。虽然均匀循环三角形的任何两个角都是负相关的，但任何两边都是独立的。相反，对于均匀的循环四边形，任何两个边是负相关的，而任何两个邻角是不相关的，但依赖。
英文摘要：
The circumcircle of a planar convex polygon P is a circle C that passes through all vertices of P. If such a C exists, then P is said to be cyclic. Fix C to have unit radius. While any two angles of a uniform cyclic triangle are negatively correlated, any two sides are independent. In contrast, for a uniform cyclic quadrilateral, any two sides are negatively correlated, whereas any two adjacent angles are uncorrelated yet dependent.
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。
