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Conference Paper/Proceeding/Abstract 680 views

Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions

Pavel Loskot Orcid Logo, Norman C Beaulieu

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Swansea University Author: Pavel Loskot Orcid Logo

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DOI (Published version): 10.1109/CWIT.2007.375732

Published: 2007
URI: https://cronfa.swan.ac.uk/Record/cronfa1786
first_indexed 2013-07-23T11:48:25Z
last_indexed 2018-12-06T19:06:23Z
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2018-12-06T16:01:51.7347425</datestamp><bib-version>v2</bib-version><id>1786</id><entry>2011-10-01</entry><title>Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions</title><swanseaauthors><author><sid>bc7cba9ef306864239b9348c3aea4c3e</sid><ORCID>0000-0002-2773-2186</ORCID><firstname>Pavel</firstname><surname>Loskot</surname><name>Pavel Loskot</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2011-10-01</date><abstract></abstract><type>Conference Paper/Proceeding/Abstract</type><journal/><paginationStart>5</paginationStart><publisher/><keywords/><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2007</publishedYear><publishedDate>2007-12-31</publishedDate><doi>10.1109/CWIT.2007.375732</doi><url/><notes>&lt;p&gt;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.&lt;/p&gt;</notes><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><apcterm/><lastEdited>2018-12-06T16:01:51.7347425</lastEdited><Created>2011-10-01T00:00:00.0000000</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>Pavel</firstname><surname>Loskot</surname><orcid>0000-0002-2773-2186</orcid><order>1</order></author><author><firstname>Norman C</firstname><surname>Beaulieu</surname><order>2</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2018-12-06T16:01:51.7347425 v2 1786 2011-10-01 Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions bc7cba9ef306864239b9348c3aea4c3e 0000-0002-2773-2186 Pavel Loskot Pavel Loskot true false 2011-10-01 Conference Paper/Proceeding/Abstract 5 31 12 2007 2007-12-31 10.1109/CWIT.2007.375732 <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> COLLEGE NANME COLLEGE CODE Swansea University 2018-12-06T16:01:51.7347425 2011-10-01T00:00:00.0000000 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Pavel Loskot 0000-0002-2773-2186 1 Norman C Beaulieu 2
title Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
spellingShingle Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
Pavel Loskot
title_short Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
title_full Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
title_fullStr Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
title_full_unstemmed Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
title_sort Some Results on Monoticity of Volume and Surface Area of Objects in K Dimensions
author_id_str_mv bc7cba9ef306864239b9348c3aea4c3e
author_id_fullname_str_mv bc7cba9ef306864239b9348c3aea4c3e_***_Pavel Loskot
author Pavel Loskot
author2 Pavel Loskot
Norman C Beaulieu
format Conference Paper/Proceeding/Abstract
container_start_page 5
publishDate 2007
institution Swansea University
doi_str_mv 10.1109/CWIT.2007.375732
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
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published_date 2007-12-31T04:26:06Z
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