论文标题
金伯林的其他多边形三角概念的概括
Generalization of Kimberling's concept of triangle center for other polygons
论文作者
论文摘要
在本文中，我们介绍了$ n $ -gon的中心概念的一般定义，以$ n \ geq 3 $介绍，从而推广了C. kimberling for Triangle的想法。我们定义与函数相关的中心，而不是与几何特性相关的中心。我们讨论这些功能的定义，具体取决于多边形的顶点或侧面和对角线的长度。我们根据这些$ n $ gon中心功能探讨了常规多边形的表征问题，并研究了多边形中心的一般定义与应用数学引起的其他方法之间的关系。
In this article we introduce a general definition of the concept of center of an $n$-gon, for $n\geq 3$, generalizing the idea of C. Kimberling for triangle. We define centers associated to functions instead of to geometrical properties. We discuss the definition of those functions depending on both, the vertices of the polygons or the lengths of sides and diagonals. We explore the problem of characterization of regular polygons in terms of these $n$-gon center functions and we study the relation between our general definition of center of a polygon and other approaches arising from Applied Mathematics.
