NIOSHTIC-2 Publications Search

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
Issue of Publication
1
ISSN
1994-5418
NIOSH Division
HELD
Priority Area
Services: Public Safety
Source Name
Asian Journal of Mathematics & Statistics
State
WV
Page last reviewed: March 11, 2019
Content source: National Institute for Occupational Safety and Health Education and Information Division