About: Using Parameterization of Surface Areas for Volumes

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.aplimat.com/volume_4_2011/General_Information/number_2.html
Description	The paper follows up with the paper published in the proceedings of the Slovak-Czech-Polish Mathematical School (Ružomberok 2004) and The International Colloquium on Acquisition Process Management, Brno 2006,where volumes of solids were discussed as topological problems. The new relation for calculation of volumes of solids in En was presenred there. That relation asks a parametric description of a surface area of a given solid and then we are able to solve the problem by using basic topological properties. The surface areas of these volumes must be smooth or piecewise smooth areas in Euclidean space of the corresponding dimension. The calculations of areas and volumes could be easier in some cases, because we calculate with integrals of fewer dimension. That paper shortly repeats all needed assumptions and also results, and presents some applications on two examples. The paper follows up with the paper published in the proceedings of the Slovak-Czech-Polish Mathematical School (Ružomberok 2004) and The International Colloquium on Acquisition Process Management, Brno 2006,where volumes of solids were discussed as topological problems. The new relation for calculation of volumes of solids in En was presenred there. That relation asks a parametric description of a surface area of a given solid and then we are able to solve the problem by using basic topological properties. The surface areas of these volumes must be smooth or piecewise smooth areas in Euclidean space of the corresponding dimension. The calculations of areas and volumes could be easier in some cases, because we calculate with integrals of fewer dimension. That paper shortly repeats all needed assumptions and also results, and presents some applications on two examples. (en)
Title	Using Parameterization of Surface Areas for Volumes Using Parameterization of Surface Areas for Volumes (en)
skos:prefLabel	Using Parameterization of Surface Areas for Volumes Using Parameterization of Surface Areas for Volumes (en)
skos:notation	RIV/46747885:24510/11:#0000795!RIV13-MSM-24510___
http://linked.open...avai/riv/aktivita	O
http://linked.open...avai/riv/aktivity	O
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Bittnerová, Daniela
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Technická univerzita v Liberci / Fakulta přírodovědně-humanitní a pedagogická
http://linked.open...dnocenehoVysledku	237401
http://linked.open...ai/riv/idVysledku	RIV/46747885:24510/11:#0000795
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Volume; parameterization; surface area; smooth hypersurface (en)
http://linked.open.../riv/klicoveSlovo	parameterization smooth hypersurface surface area Volume
http://linked.open...odStatuVydavatele	SK - Slovenská republika
http://linked.open...ontrolniKodProRIV	[7A86CED540BA]
http://linked.open...i/riv/nazevZdroje	Aplimat-Journal of Applied Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	4 (2011)
http://linked.open...iv/tvurceVysledku	Bittnerová, Daniela
issn	1337-6365
number of pages	6 (xsd:int)
http://localhost/t...ganizacniJednotka	24510

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