On composition of infinitary structures and symmetries between primes.
Abstract
In the article on the level of presentation, close to elementary deals with the composition structures of an n-cube, a global k-ary trees and natural numbers N. The properties of this composition are used when considering the symmetry of primes in the structure of natural N on the basis of differential tabloid defined on PxN, where P is set of odd primes.
Full Text:
PDFReferences
K. Ford, B. Green, S. Konyagin, J. Maynard, T. Tao, “Long gaps between primes,” 2015. Available: http://arxiv.org/pdf/1412.5029v2
D.H.J. Polymath, “The "bounded gaps between primes" Polymath project - a retrospective,” Sep 2014. Available: http://arxiv.org/pdf/1409.8361v1
Janos Pintz, “Patterns of primes in arithmetic progressions,” Sep 2015. Available: http://arxiv.org/pdf/1509.01564v2
Yuri I.Manin, “Classical computing, quantum computing and Shor`s factoring algorithm,” 1999. Available: http://arxiv.org/pdf/quant-ph/9903008.pdf
G.G. Ryabov, “On quaternary coding of cubic structures,” Numerical methods and programming, vol. 10, no. 2, pp. 340-347, 2009. Available (in russian): http://num-meth.srcc.msu.ru/zhurnal/tom_2009/pdf/v10r138.pdf
G.G. Ryabov, “Hausdorff metrics on faces of n-cube,” Fundamental and applied mathematics, vol. 16, no. 1, pp. 151-155, 2010. DOI: 10.1007/s10958-011-0487-3. Available (in russian): http://mech.math.msu.su/~fpm/ps/k10/k101/k10112.pdf
G.G. Ryabov, V.A. Serov, “On classification of k-dimension paths in n-cube,“ Applied Mathematics (SCIRP), vol. 5, no. 4, pp. 723-727, 2014. DOI: 10.4236/am.2014.54069. Available: http://dx.doi.org/10.4236/am.2014.54069
G.G. Ryabov, V.A. Serov, “ “Multidimensional metro” and symbol matrices,” International Journal of Open Information Technologies, vol. 2, no. 11, pp. 10-18, 2014. Available (in russian): http://injoit.org/index.php/j1/article/view/157/116
G.G. Ryabov, V.A. Serov, “Polymorphism of ternary symbolic matrixes and genetic space of shortest k-paths in n-cube,” International Journal of Open Information Technologies, vol. 3, no. 7, pp. 1-11, 2015. Available (in russian): http://injoit.org/index.php/j1/article/view/214/173
Refbacks
- There are currently no refbacks.
Abava Кибербезопасность IT Congress 2024
ISSN: 2307-8162