ON THE HEILBRONN NUMBER OF n-NONCOLINEAR POINTS IN THE PLANE

In this article,we have given the definition of the Heilbronn number of n-noncollinear points in the plane. By this, we got the exact value of H5 which is the exact upper bound of H5 (K), where H5 (K) is any Heilbronn number in common sense.

关于三角形区域的Heilbronn数

设Ｋ是一个具有面积｜Ｋ｜的平面凸体。用（ｒ＿１ｒ＿２ｒ＿３）表示三角形ｒ＿１ｒ＿２ｒ＿３的面积，并令然后将Ｋ中ｎ个点的Ｈｅｉｌｂｒｏｎｎ数定义为对于三角形区域Δ。