Search results for "Geometric Probability"

showing 4 items of 4 documents

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 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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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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Geometric characterization and simulation of planar layered elastomeric fibrous biomaterials

2015

An important class of biomaterials is composed of layered networks of elastomeric fibers. While there is a growing interest in modeling and simulation of the mechanical response of these biomaterials, a theoretical foundation for such simulations has yet to be firmly established. The present work addresses this issue in two ways. First, using methods of geometric probability we develop theoretical estimates for the linear and areal fiber intersection densities for two-dimensional fibrous networks. These are expressed in terms of the fiber density and orientation distribution function, both of which are relatively easy to measure properties. Secondly, we develop a random walk algorithm for g…

Materials scienceMatching (graph theory)Geometric probabilityBiomedical EngineeringBiocompatible MaterialsscaffoldBiochemistryArticleModeling and simulationfibrous biomaterialBiomaterialsIntersectionMolecular BiologyOrientation (computer vision)Fiber (mathematics)business.industrytissue engineering.General MedicineStructural engineeringRandom walkCharacterization (materials science)ElastomersGeometric characterizationMicroscopy Electron ScanningbusinessAlgorithmAlgorithmsBiotechnologyActa Biomaterialia
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