摘要
研究了平面上两凸集相交的直径在运动测度测度下的积分不变性.通过两凸集相交的直径在运动测度测度下的积分不变性和基本运动公式(如Blaschké公式)与其之间的内在联系,得到了平面上两凸集相交的直径在运动测度测度下的积分的上界与下界的估计,进而得到了单个凸集的直径在运动测度测度下的积分的上下界的估计.
The integral invariant in kinematic measure about the diameter of two intersecting convex sets in the plane was investigated. Through some geometric invariant and basic kinematic formula（such as Blaschke formula） , the estimate of the upper and lower bounds about the diameter of two intersecting convex sets of integral invariant is obtained, then the diameter of a convex set of integral invariant is also obtained.
出处
《纺织高校基础科学学报》
CAS
2013年第4期486-488,493,共4页
Basic Sciences Journal of Textile Universities
