Surface Area and Capacity of Ellipsoids in n Dimensions. (CITR)

Tee, Garry

dc.contributor.author	Tee, Garry	en
dc.date.accessioned	2008-08-21T01:57:27Z	en
dc.date.available	2008-08-21T01:57:27Z	en
dc.date.issued	2004	en
dc.identifier.citation	Communication and Information Technology Research Technical Report 139, (2004)	en
dc.identifier.issn	1178-3606	en
dc.identifier.uri	http://hdl.handle.net/2292/2827	en
dc.description	You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the original CITR web site; http://citr.auckland.ac.nz/techreports/ under terms that include this permission. All other rights are reserved by the author(s).	en
dc.description.abstract	The surface area of a general n-dimensional ellipsoid is represented as an Abelian integral, which can readily be evaluated numerically. If there are only 2 values for the semi-axes then the area is expressed as an elliptic integral, which reduces in most cases to elementary functions. The capacity of a general n-dimensional ellipsoid is represented as a hyperelliptic integral, which can readily be evaluated numerically. If no more than 2 lengths of semi-axes occur with odd multiplicity, then the capacity is expressed in terms of elementary functions. If only 3 or 4 lengths of semi-axes occur with odd multiplicity, then the capacity is expressed as an elliptic integral.	en
dc.publisher	CITR, The University of Auckland, New Zealand	en
dc.relation.ispartofseries	Communication and Information Technology Research (CITR) Technical Report Series	en
dc.rights	Copyright CITR, The University of Auckland. You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the original CITR web site under terms that include this permission. All other rights are reserved by the author(s).	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.source.uri	http://citr.auckland.ac.nz/techreports/2004/CITR-TR-139.pdf	en
dc.title	Surface Area and Capacity of Ellipsoids in n Dimensions. (CITR)	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::280000 Information, Computing and Communication Sciences	en