Hostname: page-component-7dd5485656-c8zdz Total loading time: 0 Render date: 2025-10-31T20:08:06.094Z Has data issue: false hasContentIssue false
  • English
  • Français

Probability of random paths across elementary geometrical shapes

Published online by Cambridge University Press:  14 July 2016

Maurice Horowitz
Maurice Horowitz*
Affiliation:
The Magnavox Company, Fort Wayne, Indiana
Get access Rights & Permissions [Opens in a new window]

Extract

There are several practical situations where one requires the statistical properties of the straight path length l across a specified geometrical shape. Typical examples are the length of the path of a gamma-ray to the wall of a nuclear reactor (Primak (1956)), the length of a sound ray in a room from one reflection to the next (Kosten (1960)), or the length of a straight path across a square (Horowitz (1964)).

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 2 , Issue 1 , June 1965 , pp. 169 - 177
Copyright
Copyright © Sheffield: Applied Probability Trust 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

[1] Groenewoud, Cornelius (1964) Private communication.Google Scholar
[2] Horowitz, M. (1964) Mean random path across a square. Notices Amer. Math. Soc. 11, 55 (Abstract 608–6).Google Scholar
[3] Jäger, G. (1911) Zur theorie des nachhalls. Wiener Akad. Ber., Math-naturw. Klasse. Bd. 120, Abt. IIa.Google Scholar
[4] Kendall, D.G. and Moran, P. A. P. (1963) Geometrical Probability. Hafner Publishing Company, New York.Google Scholar
[5] Kosten, C. W. (1960) The mean free path in room acoustics. Acustica 10, 245–250.Google Scholar
[6] Primak, W. (1956) Gamma-ray dosage in inhomogeneous nuclear reactors. J. Appl. Physics 27, 56.CrossRefGoogle Scholar