On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2006
• Main Author: Medianik, A.I.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106581
• 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.

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...