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Concise formulas for the area and volume of a hyperspherical cap.

Authors
Li-S
Source
Asian J Math Stat 2011 Jan; 4(1):66-70
NIOSHTIC No.
20037956
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.
Keywords
Analytical-processes; Author Keywords: Hyperspace; hyperspherical cap; hyperspherical sector; hyperspherical cone; area; volume
Contact
Shengqiao Li, 1095 Willowdale Road, MS 4050, Morgantown, WV 26505, USA
Publication Date
20110101
Document Type
Journal Article
Fiscal Year
2011
NTIS Accession No.
NTIS Price
Issue of Publication
1
ISSN
1994-5418
NIOSH Division
HELD
Priority Area
Services: Public Safety
Source Name
Asian Journal of Mathematics & Statistics
State
WV
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