Integral formulas for strips

  • Kim, Yong-Il (Department of Mathematics, Sung Kyun Kwan University)
  • Published : 1997.10.01

Abstract

For n random strips chosen so as to meet a fixed bounded convex set K of the plane we let $\nu$ be the number of intersection regions that meet K. We develop the integral formula for the mean value of $\nu$ and $\nu^2$ involving the area and the perimeter of K and the breadths of the strips. We get some geometric inequalities in way of studying integral geometry.

Keywords

References

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