Перегляд за автором "Medianik, A.I."

Сортувати за: Порядок: Результатів:

  • Antipodal Polygons and Half-Circulant Hadamard Matrices 
    Medianik, A.I. (Журнал математической физики, анализа, геометрии, 2010)
    As known, the question on the existence of Hadamard matrices of order m = 4n, where n is an arbitrary natural number, is equivalent to the question on the possibility to inscribe a regular hypersimplex into the (4n ¡ ...
  • Antipodal Polygons and Their Group Properties 
    Medianik, A.I. (Журнал математической физики, анализа, геометрии, 2012)
    We study the groups of transformations which transform antipodal polygons into antipodal ones as well as their order and the number of equivalence classes of n-gons inscribed into the regular (2n - 1)-gon.
  • On a Regular Hypersimplex Inscribed into the Multidimensional Cube 
    Medianik, A.I. (Журнал математической физики, анализа, геометрии, 2006)
    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.
  • On Existence of a Regular Hypersimplex Inscribed into the (4n - 1)-Dimensional Cube 
    Medianik, A.I. (Журнал математической физики, анализа, геометрии, 2006)
    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 ...