A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
The present paper contains a sketch of the proof of an upper bound for the variance of the number of hyperfaces of a random polytope when the mother body is a simple polytope. Thus we verify a weaker version of the result in [1] stated without a proof. The article is published in the author’s wordin...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2012-01-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | http://mais-journal.ru/jour/article/view/149 |
| _version_ | 1797967310246379520 |
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| author | A. Magazinov |
| author_facet | A. Magazinov |
| author_sort | A. Magazinov |
| collection | DOAJ |
| description | The present paper contains a sketch of the proof of an upper bound for the variance of the number of hyperfaces of a random polytope when the mother body is a simple polytope. Thus we verify a weaker version of the result in [1] stated without a proof. The article is published in the author’s wording. |
| first_indexed | 2024-04-11T02:29:11Z |
| format | Article |
| id | doaj.art-7c50904eac1446fe8809157977930e6b |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-11T02:29:11Z |
| publishDate | 2012-01-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-7c50904eac1446fe8809157977930e6b2023-01-02T21:56:44ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172012-01-01196148151143A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple PolytopeA. Magazinov0Математический институт им. В. А. Стеклова РАН, Международная лаборатория «Дискретная и вычислительная геометрия» им. Б. Н. Делоне на базе ЯрГУThe present paper contains a sketch of the proof of an upper bound for the variance of the number of hyperfaces of a random polytope when the mother body is a simple polytope. Thus we verify a weaker version of the result in [1] stated without a proof. The article is published in the author’s wording.http://mais-journal.ru/jour/article/view/149случайный многогранникf-вектордисперсия |
| spellingShingle | A. Magazinov A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope Моделирование и анализ информационных систем случайный многогранник f-вектор дисперсия |
| title | A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope |
| title_full | A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope |
| title_fullStr | A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope |
| title_full_unstemmed | A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope |
| title_short | A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope |
| title_sort | uniform asymptotical upper bound for the variance of a random polytope in a simple polytope |
| topic | случайный многогранник f-вектор дисперсия |
| url | http://mais-journal.ru/jour/article/view/149 |
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