Using Parameterization of Surface Areas for Volumes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F11%3A%230000795" target="_blank" >RIV/46747885:24510/11:#0000795 - isvavai.cz</a>
Result on the web
<a href="http://www.aplimat.com/volume_4_2011/General_Information/number_2.html" target="_blank" >http://www.aplimat.com/volume_4_2011/General_Information/number_2.html</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Using Parameterization of Surface Areas for Volumes
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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