Альтернативний підхід до побудови поверхневого інтеграла по поверхні довільної корозмірності в Rn
In this paper, the surface integral over a surface of an arbitrary codimension in Rn is constructed using an alternative approach. Surface measures are built with an infinitesimal procedure using a set of pairwise commuting vector fields that have global fluxes and are transversal to the given surfa...
Збережено в:
| Дата: | 2014 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | rus |
| Опубліковано: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2014
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| Онлайн доступ: | http://journal.iasa.kpi.ua/article/view/33309 |
| Теги: |
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| Назва журналу: | System research and information technologies |
Репозитарії
System research and information technologies| Резюме: | In this paper, the surface integral over a surface of an arbitrary codimension in Rn is constructed using an alternative approach. Surface measures are built with an infinitesimal procedure using a set of pairwise commuting vector fields that have global fluxes and are transversal to the given surface. Densities of the constructed measures with respect to the classical one are found and, based upon the comparative analysis, it is concluded that constructed measures present a generalization of the classical surface measures. It is deemed to be reasonable to generalize this approach to surfaces of finite codimensions in infinite-dimensional spaces. |
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