摘要
主要利用广义支持函数和凸域内弦的平均长度的一个普遍公式,得到椭圆域内弦的平均长度,并对矩形域内弦的平均长度的极值作了研究,得出当为正方形域时,弦的平均长度最大。
Using a universal formula for the mean length of a convex set and the generalized support function, this paper has arrived at the mean length of the ellipse. Besides, it has studied the maximum value of the mean length inside the rectangle area, and found that the mean length of the square is the maximum.
出处
《武汉科技大学学报》
CAS
2007年第4期441-443,共3页
Journal of Wuhan University of Science and Technology
关键词
凸域
平均弦长
广义支持函数
椭圆域
矩形域
convex domain
the mean length of the chords
the generalized support function
ellipse
rectangle
