Using Parameterization of Surface Areas for Volumes

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

Using Parameterization of Surface Areas for Volumes

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Using Parameterization of Surface Areas for Volumes

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Aplimat-Journal of Applied Mathematics

ISSN

1337-6365

e-ISSN

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Svazek periodika

4 (2011)

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

6

Strana od-do

341-346

Kód UT WoS článku

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EID výsledku v databázi Scopus

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