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On monotonicity of the hypersphere volume and area

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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.

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Authors and Affiliations

  1. Institute of Advanced Telecomm., University of Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdom

    Pavel Loskot

  2. 2nd floor, ECERF Dept. of Elect. and Comp. Engineering, University of Alberta, Edmonton, AB, T6G 2V4, Canada

    Norman C. Beaulieu

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  1. Pavel Loskot
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  2. Norman C. Beaulieu
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Correspondence to Pavel Loskot.

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Loskot, P., Beaulieu, N.C. On monotonicity of the hypersphere volume and area. J. geom. 87, 96–98 (2007). https://doi.org/10.1007/s00022-007-1891-1

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  • DOI: https://doi.org/10.1007/s00022-007-1891-1

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