Conference Paper/Proceeding/Abstract 536 views
Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
Pavel Loskot 
,
Norman C Beaulieu
,
Norman C Beaulieu
Start page: 5
Swansea University Author:
Pavel Loskot
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DOI (Published version): 10.1109/CWIT.2007.375732
Abstract
Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
| Published: |
2007
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa1786 |
| Item Description: |
<p>This work presents a proof that the volume and surface area of constant radius K dimensional objects increase with dimension, reach a maximum, and then decrease towards zero. The dimension of the maximum volume and surface area is derived as a function of radius. This surprising fact is little known, and the dimension of the maximum volume and surface area is not known analytically in the literature. This important fact has many applications including determination of the optimum number of receiver antennas in wireless communication systems.</p> |
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| College: |
Faculty of Science and Engineering |
| Start Page: |
5 |