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Journal of Geometry

, Volume 87, Issue 1–2, pp 96–98 | Cite as

On monotonicity of the hypersphere volume and area

  • Pavel Loskot
  • Norman C. Beaulieu
Article

Abstract.

Motivated by reference [6] and applications in signal processing for communications systems, in this note, we obtain the dimension of maximum volume and the dimension of maximum surface area for the hypersphere of constant radius.

Mathematics Subject Classification (2000):

51M20 51M25 

Keywords:

n-sphere surface area volume 

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Copyright information

© Birkhaueser 2007

Authors and Affiliations

  1. 1.Institute of Advanced Telecomm.University of SwanseaSwanseaUnited Kingdom
  2. 2.2nd floor, ECERF Dept. of Elect. and Comp. EngineeringUniversity of AlbertaEdmontonCanada

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