RESEARCHES OF THE COMBINATORIAL MODELS FOR INNOVATIVE INFORMATION TECHNOLOGIES

Authors

  • Volodymyr Riznyk

DOI:

https://doi.org/10.47839/ijc.8.2.672

Keywords:

Combinatorial model, Information technology, Numerical model, Coding system, Transmission speed, Resolving ability, Multidimensional model, Vector data coded design, Ideal Ring Bundle, World-wide harmony.

Abstract

The paper presents a new mathematical principle of innovative techniques for improving the quality indices of engineering devices and systems with non-uniform structure (e.g. coding systems) with respect to transmission speed, positioning precision, resolving ability, and functionality, using novel design based on remarkable properties and structural perfection of one- and multidimensional models of the systems, namely the concept of Ideal Ring Bundles (IRB)s prospected from basic laws of the world-wide harmony. Research into the underlying mathematical principle provides an ability to reproduce the maximum number of combinatorial varieties in the systems with a limited number of elements and bonds. This approach make it possible to configure systems with optimal placement of structural elements in spatially or temporally distributed systems, using the appropriate mathematical apparatus of contemporary combinatorial theory.

References

P.Wigner, Symmetries and reflections. Bloomington-London: Indiana University Press, 1970.

H. Weyl, Symmetry. Princeton, NJ: Princeton University Press, 1952.

V. Riznyk. Combinatorial Sequencing Theory and its Applications, Lehrstuhl fur Informatik V, Universitat Mannheim (report), Germany 10 October 1997.

S.Golomb, P.Osmera and V.Riznyk. Combinatorial Sequencing Theory for optimization of signal data vectors converting and signal processing. Proceedings of the Workshop on Design Methodologies for Signal Processing, Zakopane, Poland 29-30 August 1996, pp.43-44.

V.Riznyk.Perspective information technologies prospected from basic laws of the world-wide harmony. Proceedings of the Third International Conference on Computer Science and Information Technologies (CSIT’2008), Lviv, Ukraine 25-27 September 2008, pp.80-84.

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Published

2014-08-01

How to Cite

Riznyk, V. (2014). RESEARCHES OF THE COMBINATORIAL MODELS FOR INNOVATIVE INFORMATION TECHNOLOGIES. International Journal of Computing, 8(2), 103-108. https://doi.org/10.47839/ijc.8.2.672

Issue

2009, Volume 8, Issue 2

Section

Articles

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