On a Regular Hypersimplex Inscribed into the Multidimensional Cube

Автор(и)

  • A.I. Medianik Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering National Academy of Sciences of Ukraine 47 Lenin Ave., Kharkov, 61103, Ukraine

Ключові слова:

multidimensional cube, regular simplex, Hadamard's matrix,circulant matrix, antipodal n-gons, homogeneous system resultant, necessary and saficient conditions.

Анотація

It is proved the existence of a regular hypersimplex inscribed into the (4n-1)-dimensional cube under the vanishing condition of the resultant of some system of 4n-1 algebraic equations with 4n-1 unknown quantities.

Mathematics Subject Classification: 52B, 05B20.

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Як цитувати

(1)
Medianik, A. On a Regular Hypersimplex Inscribed into the Multidimensional Cube. Журн. мат. фіз. анал. геом. 2006, 2, 176-185.

Номер

Том 2 № 2 (2006)

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