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The area and perimeter of a random spherical triangle
KTH, Superseded Departments, Mathematics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We determine the distribution functions for the area and the perimeter of a random spherical triangle. We consider two natural ‘polar’ ways of generating the random triangle. It turnsout that the distribution for the area in the first way is closely related to the distribution of the perimeter in the second way, and vice versa.

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Natural Sciences
Identifiers
URN: urn:nbn:se:kth:diva-146644ISRN: KTH/MAT/R-14/01-SEOAI: oai:DiVA.org:kth-146644DiVA: diva2:724390
Note

QC 20140708

Available from: 2014-06-12 Created: 2014-06-12 Last updated: 2014-07-08Bibliographically approved

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spherical.pdf(2706 kB)374 downloads
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File name FULLTEXT01.pdfFile size 2706 kBChecksum SHA-512
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Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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