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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Chord Length Distributions of the Hemisphere

Wilfried Gille

Abstract

The distribution laws for two types of isotropic uniform random chords of the hemisphere, cap-chords and basic-chords, are investigated separately. From both distribution densities, the chord length distribution density of the whole hemisphere is derived.

Journal of Mathematics and Statistics
Volume 1 No. 1, 2005, 24-28

DOI: https://doi.org/10.3844/jmssp.2005.24.28

Published On: 31 March 2005

How to Cite: Gille, W. (2005). Chord Length Distributions of the Hemisphere. Journal of Mathematics and Statistics, 1(1), 24-28. https://doi.org/10.3844/jmssp.2005.24.28

Open AccessCopyright: © 2005 Wilfried Gille. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Shape Recognition
  • Scattering Experiment
  • Cauchy Theorem
  • µ-randomness