与给定线段相交的定长线段的运动测度公式及其应用
여급정선단상교적정장선단적운동측도공식급기응용
THE KINEMATIC MEASURE OF LINE SEGMENT OF FIXED LENGTH INTERSECTING WITH FIXED LINE SEGMENT AND ITS APPLICATION
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2006年 2期 142-146 ,共5页

    谢凤繁%李德宜%任德麟

    사봉번%리덕의%임덕린

    运动测度%Buffon投针问题%区域格%几何概率 運動測度%Buffon投針問題%區域格%幾何概率
    운동측도%Buffon투침문제%구역격%궤하개솔
    kinematic measure%Buffon problem%lattice of regions%geometric probability
    本文研究了凸多边形的运动测度的表达式,利用线段将已知其包含测度的凸多边形分划成其它的凸多边形,通过计算出与给定线段相交的定长线段的运动测度公式,从而得到某些凸多边形的运动测度的具体表达式,并把它应用到几何概率问题中,获得一个新的几何概率结果.
    본문연구료철다변형적운동측도적표체식,이용선단장이지기포함측도적철다변형분화성기타적철다변형,통과계산출여급정선단상교적정장선단적운동측도공식,종이득도모사철다변형적운동측도적구체표체식,병파타응용도궤하개솔문제중,획득일개신적궤하개솔결과.
    In this paper, individual expressions for the kinematic measure for other convex polygons are established by taking the segment to divide convex polygons of known measure into account. Its application to geometric probability problems will lead to a new conclusion for geometric probability.
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