We solve problems of Buffon type for two different lattices: a lattice R1 = R(A,B, a, b) of rectangles of sides A and B and with obstacles parallelograms of sides 2a and 2b and angle α ∈]0; π 2 ] with the barycentre on the vertexes of a rectangular tile; a lattice R2 with elementary tile a parallelogram P of sides a and b and angle α ∈]0; π 2 [. We consider a line segment and a circle as test bodies .

GEOMETRIC PROBABILITIES OF BUFFON TYPE IN THE EUCLIDEAN PLANE

BONANZINGA, Vittoria;
2009-01-01

Abstract

We solve problems of Buffon type for two different lattices: a lattice R1 = R(A,B, a, b) of rectangles of sides A and B and with obstacles parallelograms of sides 2a and 2b and angle α ∈]0; π 2 ] with the barycentre on the vertexes of a rectangular tile; a lattice R2 with elementary tile a parallelogram P of sides a and b and angle α ∈]0; π 2 [. We consider a line segment and a circle as test bodies .
2009
stochastic geometry; integral geometry; geometric probability
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/6436
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