On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube
It is proved the existence of a regular hypersimplex inscribed into the (4n-1)-dimensional cube under condition that some system of 4n-2 algebraic equations with 4n-2 unknown quantities y0, y'0, y1; y'1,..., y2n-2, y'2n-2 has at least one solution with a real value of y0 or any other...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106581 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube / A.I. Medianik // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 1. — С. 62-72. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106581 |
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dspace |
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irk-123456789-1065812016-10-01T03:02:10Z On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube Medianik, A.I. It is proved the existence of a regular hypersimplex inscribed into the (4n-1)-dimensional cube under condition that some system of 4n-2 algebraic equations with 4n-2 unknown quantities y0, y'0, y1; y'1,..., y2n-2, y'2n-2 has at least one solution with a real value of y0 or any other yi ≠ 0, i ≥ 1. 2006 Article On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube / A.I. Medianik // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 1. — С. 62-72. — Бібліогр.: 4 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106581 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
It is proved the existence of a regular hypersimplex inscribed into the (4n-1)-dimensional cube under condition that some system of 4n-2 algebraic equations with 4n-2 unknown quantities y0, y'0, y1; y'1,..., y2n-2, y'2n-2 has at least one solution with a real value of y0 or any other yi ≠ 0, i ≥ 1. |
| format |
Article |
| author |
Medianik, A.I. |
| spellingShingle |
Medianik, A.I. On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube Журнал математической физики, анализа, геометрии |
| author_facet |
Medianik, A.I. |
| author_sort |
Medianik, A.I. |
| title |
On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube |
| title_short |
On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube |
| title_full |
On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube |
| title_fullStr |
On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube |
| title_full_unstemmed |
On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube |
| title_sort |
on existence of a regular hypersimplex inscribed into the (4n - 1)-dimensional cube |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106581 |
| citation_txt |
On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube / A.I. Medianik // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 1. — С. 62-72. — Бібліогр.: 4 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT medianikai onexistenceofaregularhypersimplexinscribedintothe4n1dimensionalcube |
| first_indexed |
2023-10-18T20:13:15Z |
| last_indexed |
2023-10-18T20:13:15Z |
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1796149289702916096 |