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Дата изменения: Tue Nov 24 14:56:47 2015
Дата индексирования: Sun Apr 10 02:59:05 2016
Кодировка: IBM-866
яЁѓ Composition of infinitary structures  
"Composition of infinitary structures"
Ryabov G.G. and Serov V.A.

The infinitary structure of an n-cube, global k-ary trees, and natural numbers are considered as a single genetic structure. A number of geometric characteristics of the shortest paths in an n-cube are specified and the properties of prime number symmetry among the natural numbers are studied on the basis of this structure.

Keywords: n-cube, symbolic matrix, global k-ary tree, k-tuples of natural numbers, difference tabloid, symmetry of prime numbers, incompatibility relation.

  • Ryabov G.G. тАУ Research Computing Center, Lomonosov Moscow State University; Leninskie Gory, Moscow, 119992, Russia; Dr. Sci., Corresponding Member of Russian Academy of Sciences, Head of Laboratory, e-mail: gen-ryabov@yandex.ru
  • Serov V.A. тАУ Research Computing Center, Lomonosov Moscow State University; Leninskie Gory, Moscow, 119992, Russia; Scientist, e-mail: v_serov_@mail.ru