By means of the part intersection,the generalized support function and the restricted chord function and the combination with the simple maths and the related theory of measure,the individual expressions for the kinematic measure of ellipse and its properties have been derived.
运用“部分相交法”及广义支持函数,限弦函数,交体等概念结合初等数学及测度的相关理论,推导出椭圆的包含测度的具体表达式及相关的性质。
By using the generalized support function,we reckon the mean distance of two points of circle,rectangle and ellipse,and deduct the idiographic process.
本文研究了凸域内两点间的平均距离公式,利用广义支持函数的方法分别求出了圆、矩形、椭圆域内两点间的平均距离,并给出了具体的求解过程。
Ren Delin introduced the notion of generalized support function and restricted chord function of a convex body in the plane and used them to establish integral formulas for the containment measure of a line segment inside a convex body.
本文研究了凸域内定长线段的包含测度问题,利用广义支持函数和限弦函数,得到了一类特殊凸域的包含测度。
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.
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。
By using the generalized support function,we can get the integral for the power of chords of a convex set.
通过广义支持函数与凸域的弦幂积分,建立了凸域内弦的平均长度的一般公式,并用此公式得出了圆域和矩形域内弦的平均长度。
The paper presents necessary and sufficient conditions for solutions to multiobjectivematheamatical programming with generalized convex set functions which popularized the documents ″Suffi-cient and necessary conditions for solutions to multiobjective mathematical programming with generalized con-vex set functions″and etc.
给出了广义凸集函数多目标数学规划解的充分必要条件，它是对多目标广义凸规划解的充分必要条件等文献的推