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Asian Journal of Mathematics & Statistics
  Year: 2011 | Volume: 4 | Issue: 1 | Page No.: 66-70
DOI: 10.3923/ajms.2011.66.70
 
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Concise Formulas for the Area and Volume of a Hyperspherical Cap

S. Li

Abstract:
Spherical caps in hyperspace have found applications in stochastic optimizations and software engineering. However, there is a need for concise formulas for surface area and volume that are easy to express and compute. In this note, concise formulas are given in closed-forms. These formulas are obtained by integrating the area/volume of an (n-1)-sphere over a great circle arc in hyperspherical coordinates.
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How to cite this article:

S. Li , 2011. Concise Formulas for the Area and Volume of a Hyperspherical Cap. Asian Journal of Mathematics & Statistics, 4: 66-70.

DOI: 10.3923/ajms.2011.66.70

URL: https://scialert.net/abstract/?doi=ajms.2011.66.70

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