Search results for " integral geometry"

showing 4 items of 4 documents

A laplace type problem for three lattices with non-convex cell

2016

In this paper we consider three lattices with cells represented in Fig. 1, 3 and 5 and we determine the probability that a random segment of constant length intersects a side of lattice. c ⃝2016 All rights reserved.

0209 industrial biotechnologyAlgebra and Number TheoryLaplace transformHigh Energy Physics::Lattice020208 electrical & electronic engineeringMathematical analysisRegular polygon02 engineering and technologyGeometric probabilityRandom setsGeometric probability stochastic geometry random sets random convex sets and integral geometry020901 industrial engineering & automationRandom convex sets and integral geometrySettore MAT/05 - Analisi MatematicaLattice (order)0202 electrical engineering electronic engineering information engineeringStochastic geometrySettore MAT/03 - GeometriaAnalysisMathematics
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A Laplace type problem for a lattice with cell composed by two trapezius and a triangle

2014

In the previous papers, [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors study some Laplace problem for different lattices. In this paper we determine the probability that a random segment of constant length intersects a side of lattice with cell represented in fig.1

Pure mathematicsLaplace transformSettore MAT/05 - Analisi MatematicaApplied MathematicsLattice (order)GeometryGeometric Probability stochastic geometry random sets random convex sets and integral geometryMathematicsApplied Mathematical Sciences
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Analysis of the railway network operations safety, with of different obstacles along the route, by the study of Buffon-Laplace type problems: the cas…

2016

In this paper we use an approach based on a Buffon-Laplace type problem for an irregular hexagonal lattice and obstacles to study some problems about analysis of the railway network operations safety in the presence of different obstacles on the route.

Random setsRandom convex sets and integral geometryLaplace transformSettore MAT/05 - Analisi MatematicaComputer scienceHexagonal crystal systemApplied MathematicsStochastic geometrySettore MAT/03 - GeometriaType (model theory)TopologyGeometric ProbabilityNetwork operations centerApplied Mathematical Sciences
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A note on Oscar Chisini mean value definition

2012

Mainly on the basis of some notable physical examples reported in a 1929 Oscar Chisini paper, in this brief note it is exposed further possible historic-critical remarks on the definition of statistical mean which lead us towards the realm of Integral Geometry, via the Felix Klein Erlanger Programm.

mean value integral geometry Erlangen program
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