Persons: Medianik, Anatoly Ignat'evich

Persons

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Medianik, Anatoly Ignat'evich

Candidate of physico-mathematical sciences (1966)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

09.01.1937

E-mail:

Keywords:

geometry in the large; convex polytopes; tilings in $n$ dimensions; regular simplex inscribed into a cube; Hadamard matrix

Biography

Main publications:

Medyanik A.I. Odna obschaya teorema edinstvennosti dlya analiticheskikh zamknutykh vypuklykh giperpoverkhnostei $n$-mernogo evklidova prostranstva. Ukrainskii geometricheskii sbornik, 1967, vyp. 5-6, s. 115-117
Medyanik A.I. Razbienie $E^n$ na prostranstvennye kresty. Ukrainskii geometricheskii sbornik, 1980, vyp. 23, s. 84-90
Medyanik A.I. Teoremy suschestvovaniya dlya regulyarnykh zamknutykh vypuklykh poverkhnostei. Ukrainskii geometricheskii sbornik, 1991, vyp. 34, s. 69-90
Medyanik A.I. Vpisannyi v kub pravilnyi simpleks, polutsirkulyantnye matritsy Adamara i gaussovy summy. Matematicheskaya analiz, geometriya, 2001, t. 8, N 1, s. 58-81

	Publications in Math-Net.Ru	Citations
	2012
1.	A. I. Medianik, “Antipodal polygons and their group properties”, Zh. Mat. Fiz. Anal. Geom., 8:4 (2012), 357–366
	2010
2.	A. I. Medianik, “Antipodal polygons and half-circulant Hadamard matrices”, Zh. Mat. Fiz. Anal. Geom., 6:1 (2010), 56–72
	2006
3.	A. I. Medianik, “On a regular hypersimplex inscribed into the multidimensional cube”, Zh. Mat. Fiz. Anal. Geom., 2:2 (2006), 176–185	1
4.	A. I. Medianik, “On existence of a regular hypersimplex inscribed into the $(4n-1)$-dimensional cube”, Zh. Mat. Fiz. Anal. Geom., 2:1 (2006), 62–72	1
	2004
5.	A. I. Medianik, “Antipodal $n$-angles inscribed into the regular $(2n-1)$-angle and half-circulant Hadamard matrices of order $4n$”, Mat. Fiz. Anal. Geom., 11:1 (2004), 45–66	4
	2001
6.	A. I. Medianik, “Regular simplex inscribed into a cube, half-circulant Hadamard matrices and Gaussian sums”, Mat. Fiz. Anal. Geom., 8:1 (2001), 58–81	1
	1997
7.	A. I. Medianik, “Regular simplex inscribed into a cube and Hadamard matrix of half-circulant type”, Mat. Fiz. Anal. Geom., 4:4 (1997), 458–471	5
	1996
8.	A. I. Medianik, “Closed convex surfaces in $E^3$ with given functions of curvatures”, Mat. Fiz. Anal. Geom., 3:1/2 (1996), 125–130

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