Measures in the space of planes and convex bodies |
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Authors: | R. H. Aramyan |
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Affiliation: | 1.Russian-Armenian (Slavonic) University,Yerevan,Armenia;2.Institute of Mathematics of National Academy of Sciences of Armenia,Yerevan,Armenia |
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Abstract: | The present paper gives two representations (so-called flag representations) for the measure of planes intersecting a convex body. These representations are obtained by means of a stochastic approximation of a convex body depending on a distribution P that are defined on the surface of the body. Also it is proved that the flag representations do not depend on the density of P. |
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