vix.ing · top · new · best · stats · spec

Signed Chord Length Distribution. II

2009/04/23 by Alexander Yu. Vlasov, Vlasov, Alexander Yu.
Mathematics · Physics and Astronomy · #Applications (stat.AP) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.MP #math.PR #stat.AP

paper · pdf · doi:10.48550/arxiv.0904.3646

LaTeX, 12 pages, 6 figures, part II (few bodies), part I is arXiv:0711.4734

arxiv created 2009/04/23 · arxiv updated 2010/05/11

Abstract

This paper continues description of applications of signed chord length distribution started in part I (arXiv:0711.4734). It is shown simple relation between equation for some transfer integrals with source and target bodies and different geometrical distributions for union of this bodies. The union of disjoint bodies is always nonconvex object and for such a case derivatives of correlation function (used for definition of signed radii and chord lengths distributions) always produce (quasi)densities with negative values. Many equations used in this part are direct consequences of analogue formulas in part I.

Citations

Related