Signed Chord Length Distribution. II
Mathematical Physics
2010-05-11 v1 math.MP
Probability
Applications
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.
Cite
@article{arxiv.0904.3646,
title = {Signed Chord Length Distribution. II},
author = {Alexander Yu. Vlasov},
journal= {arXiv preprint arXiv:0904.3646},
year = {2010}
}
Comments
LaTeX, 12 pages, 6 figures, part II (few bodies), part I is arXiv:0711.4734