%0 Journal Article
%T Concise Formulas for the Area and Volume of a Hyperspherical Cap
%A S. Li
%J Asian Journal of Mathematics & Statistics
%D 2011
%I Asian Network for Scientific Information
%X 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.
%K Hyperspace
%K hyperspherical cap
%K hyperspherical sector
%K hyperspherical cone
%K area
%K volume
%U http://docsdrive.com/pdfs/ansinet/ajms/2011/66-70.pdf