"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. – 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. – Research Computing Center, Lomonosov Moscow State University; Leninskie Gory, Moscow, 119992, Russia; Scientist, e-mail: v_serov_@mail.ru