Literaturnachweis - Detailanzeige
Autor/inn/en | Bhattacharyya, Pratip; Chakrabarti, Bikas K. |
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Titel | The Mean Distance to the nth Neighbour in a Uniform Distribution of Random Points: An Application of Probability Theory |
Quelle | In: European Journal of Physics, 29 (2008) 3, S.639-645 (7 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0143-0807 |
DOI | 10.1088/0143-0807/29/3/023 |
Schlagwörter | Heuristics; Computation; Probability; Physics; Measurement; Mathematical Concepts; Theories; Equations (Mathematics); Science Instruction |
Abstract | We study different ways of determining the mean distance (r[subscript n]) between a reference point and its nth neighbour among random points distributed with uniform density in a D-dimensional Euclidean space. First, we present a heuristic method; though this method provides only a crude mathematical result, it shows a simple way of estimating (r[subscript n]). Next, we describe two alternative means of deriving the exact expression of (r[subscript n]): we review the method using absolute probability and develop an alternative method using conditional probability. Finally, we obtain an approximation to (r[subscript n]) from the mean volume between the reference point and its nth neighbour and compare it with the heuristic and exact results. (As Provided). |
Anmerkungen | Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |