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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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106581 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575108961337344 |
|---|---|
| author | Medianik, A.I. |
| author_facet | Medianik, A.I. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
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| first_indexed | 2025-11-26T11:41:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106581 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-26T11:41:47Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Medianik, A.I. 2016-09-30T19:22:29Z 2016-09-30T19:22:29Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/106581 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube Article published earlier |
| spellingShingle | On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube Medianik, A.I. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106581 |
| work_keys_str_mv | AT medianikai onexistenceofaregularhypersimplexinscribedintothe4n1dimensionalcube |