论文信息 - On monotonicity of the hypersphere volume and area

On monotonicity of the hypersphere volume and area

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.

Norman C. Beaulieu | Pavel Loskot

[1] Milton Abramowitz,et al. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[2] F. L. Lionnais,et al. Les nombres remarquables , 1983 .

[3] David W. Wells. The Penguin Dictionary of Curious and Interesting Numbers , 1986 .

[4] D. Owen. Handbook of Mathematical Functions with Formulas , 1965 .

[5] D. M. Y. Sommerville,et al. An Introduction to The Geometry of N Dimensions , 2022 .