“Soft” System of Coordinates in Regular Simplexes

Tomas Georgievich Petrov

doi:doi:10.11648/j.ijiis.20150401.11

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“Soft” System of Coordinates in Regular Simplexes

Tomas Georgievich Petrov

Published in International Journal of Intelligent Information Systems (Volume 4, Issue 1)

Received: 28 November 2014 Accepted: 12 December 2014 Published: 26 January 2015

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Abstract

In different areas of knowledge, there are common problems of coding and ordering of multicomponent compositions of objects as well as representation of their processes of change. These problems are solved by the language-method RHAT. It can be considered as a coordinate system of regions in space limited by regular simplex. Here R is a sequence of composition components by decrease – names of sectors in the simplex distinguished by hypermedians, a semiquantitative substantial characteristic of compositions, "word" of a new type; H – Shannon information entropy – entropy of mixing; A – anentropy – entropy of separation; T – tolerance. The arrangement of coordinates allows obtaining an alphabetical hierarchical periodic system of compositions (HPSC) of objects of different nature, in particular, the Hierarchical Periodic System of Chemical Compositions (HPSCC) that uses the Periodic System of Elements (PSE) as an alphabet, as well as the Hierarchical Periodic System of Molecular Compositions (HPSMC) that uses HPSCC as an alphabet. Diagrams HA or HT are designed to display random and ordered sets of compositions of any nature as the most appropriate means of studying the processes of separation and mixing. The applicability of the method has been tested on analytical materials in natural and social science fields.

Published in	International Journal of Intelligent Information Systems (Volume 4, Issue 1)
DOI	10.11648/j.ijiis.20150401.11
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Regular Simplex, Coordinate System of Region, Information Entropy, Entropy of Separation, Anentropy, Ultrapurification, Tolerance, Information Language, Hypermedian, Hierarchical Periodic System

References

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Tomas Georgievich Petrov. (2015). “Soft” System of Coordinates in Regular Simplexes. International Journal of Intelligent Information Systems, 4(1), 1-7. https://doi.org/10.11648/j.ijiis.20150401.11

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ACS Style

Tomas Georgievich Petrov. “Soft” System of Coordinates in Regular Simplexes. Int. J. Intell. Inf. Syst. 2015, 4(1), 1-7. doi: 10.11648/j.ijiis.20150401.11

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Tomas Georgievich Petrov. “Soft” System of Coordinates in Regular Simplexes. Int J Intell Inf Syst. 2015;4(1):1-7. doi: 10.11648/j.ijiis.20150401.11

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@article{10.11648/j.ijiis.20150401.11,
  author = {Tomas Georgievich Petrov},
  title = {“Soft” System of Coordinates in Regular Simplexes},
  journal = {International Journal of Intelligent Information Systems},
  volume = {4},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ijiis.20150401.11},
  url = {https://doi.org/10.11648/j.ijiis.20150401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijiis.20150401.11},
  abstract = {In different areas of knowledge, there are common problems of coding and ordering of multicomponent compositions of objects as well as representation of their processes of change. These problems are solved by the language-method RHAT. It can be considered as a coordinate system of regions in space limited by regular simplex. Here R is a sequence of composition components by decrease – names of sectors in the simplex distinguished by hypermedians, a semiquantitative substantial characteristic of compositions, "word" of a new type; H – Shannon information entropy – entropy of mixing; A – anentropy – entropy of separation; T – tolerance. The arrangement of coordinates allows obtaining an alphabetical hierarchical periodic system of compositions (HPSC) of objects of different nature, in particular, the Hierarchical Periodic System of Chemical Compositions (HPSCC) that uses the Periodic System of Elements (PSE) as an alphabet, as well as the Hierarchical Periodic System of Molecular Compositions (HPSMC) that uses HPSCC as an alphabet. Diagrams HA or HT are designed to display random and ordered sets of compositions of any nature as the most appropriate means of studying the processes of separation and mixing. The applicability of the method has been tested on analytical materials in natural and social science fields.},
 year = {2015}
}

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TY  - JOUR
T1  - “Soft” System of Coordinates in Regular Simplexes
AU  - Tomas Georgievich Petrov
Y1  - 2015/01/26
PY  - 2015
N1  - https://doi.org/10.11648/j.ijiis.20150401.11
DO  - 10.11648/j.ijiis.20150401.11
T2  - International Journal of Intelligent Information Systems
JF  - International Journal of Intelligent Information Systems
JO  - International Journal of Intelligent Information Systems
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2328-7683
UR  - https://doi.org/10.11648/j.ijiis.20150401.11
AB  - In different areas of knowledge, there are common problems of coding and ordering of multicomponent compositions of objects as well as representation of their processes of change. These problems are solved by the language-method RHAT. It can be considered as a coordinate system of regions in space limited by regular simplex. Here R is a sequence of composition components by decrease – names of sectors in the simplex distinguished by hypermedians, a semiquantitative substantial characteristic of compositions, "word" of a new type; H – Shannon information entropy – entropy of mixing; A – anentropy – entropy of separation; T – tolerance. The arrangement of coordinates allows obtaining an alphabetical hierarchical periodic system of compositions (HPSC) of objects of different nature, in particular, the Hierarchical Periodic System of Chemical Compositions (HPSCC) that uses the Periodic System of Elements (PSE) as an alphabet, as well as the Hierarchical Periodic System of Molecular Compositions (HPSMC) that uses HPSCC as an alphabet. Diagrams HA or HT are designed to display random and ordered sets of compositions of any nature as the most appropriate means of studying the processes of separation and mixing. The applicability of the method has been tested on analytical materials in natural and social science fields.
VL  - 4
IS  - 1
ER  -

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Author Information

Tomas Georgievich Petrov

St. Petersburg State University, Institute of Earth Science, St. Petersburg, Russia

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Plain Text BibTeX RIS

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Tomas Georgievich Petrov. (2015). “Soft” System of Coordinates in Regular Simplexes. International Journal of Intelligent Information Systems, 4(1), 1-7. https://doi.org/10.11648/j.ijiis.20150401.11

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ACS Style

Tomas Georgievich Petrov. “Soft” System of Coordinates in Regular Simplexes. Int. J. Intell. Inf. Syst. 2015, 4(1), 1-7. doi: 10.11648/j.ijiis.20150401.11

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AMA Style

Tomas Georgievich Petrov. “Soft” System of Coordinates in Regular Simplexes. Int J Intell Inf Syst. 2015;4(1):1-7. doi: 10.11648/j.ijiis.20150401.11

Copy | Download

@article{10.11648/j.ijiis.20150401.11,
  author = {Tomas Georgievich Petrov},
  title = {“Soft” System of Coordinates in Regular Simplexes},
  journal = {International Journal of Intelligent Information Systems},
  volume = {4},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ijiis.20150401.11},
  url = {https://doi.org/10.11648/j.ijiis.20150401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijiis.20150401.11},
  abstract = {In different areas of knowledge, there are common problems of coding and ordering of multicomponent compositions of objects as well as representation of their processes of change. These problems are solved by the language-method RHAT. It can be considered as a coordinate system of regions in space limited by regular simplex. Here R is a sequence of composition components by decrease – names of sectors in the simplex distinguished by hypermedians, a semiquantitative substantial characteristic of compositions, "word" of a new type; H – Shannon information entropy – entropy of mixing; A – anentropy – entropy of separation; T – tolerance. The arrangement of coordinates allows obtaining an alphabetical hierarchical periodic system of compositions (HPSC) of objects of different nature, in particular, the Hierarchical Periodic System of Chemical Compositions (HPSCC) that uses the Periodic System of Elements (PSE) as an alphabet, as well as the Hierarchical Periodic System of Molecular Compositions (HPSMC) that uses HPSCC as an alphabet. Diagrams HA or HT are designed to display random and ordered sets of compositions of any nature as the most appropriate means of studying the processes of separation and mixing. The applicability of the method has been tested on analytical materials in natural and social science fields.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - “Soft” System of Coordinates in Regular Simplexes
AU  - Tomas Georgievich Petrov
Y1  - 2015/01/26
PY  - 2015
N1  - https://doi.org/10.11648/j.ijiis.20150401.11
DO  - 10.11648/j.ijiis.20150401.11
T2  - International Journal of Intelligent Information Systems
JF  - International Journal of Intelligent Information Systems
JO  - International Journal of Intelligent Information Systems
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2328-7683
UR  - https://doi.org/10.11648/j.ijiis.20150401.11
AB  - In different areas of knowledge, there are common problems of coding and ordering of multicomponent compositions of objects as well as representation of their processes of change. These problems are solved by the language-method RHAT. It can be considered as a coordinate system of regions in space limited by regular simplex. Here R is a sequence of composition components by decrease – names of sectors in the simplex distinguished by hypermedians, a semiquantitative substantial characteristic of compositions, "word" of a new type; H – Shannon information entropy – entropy of mixing; A – anentropy – entropy of separation; T – tolerance. The arrangement of coordinates allows obtaining an alphabetical hierarchical periodic system of compositions (HPSC) of objects of different nature, in particular, the Hierarchical Periodic System of Chemical Compositions (HPSCC) that uses the Periodic System of Elements (PSE) as an alphabet, as well as the Hierarchical Periodic System of Molecular Compositions (HPSMC) that uses HPSCC as an alphabet. Diagrams HA or HT are designed to display random and ordered sets of compositions of any nature as the most appropriate means of studying the processes of separation and mixing. The applicability of the method has been tested on analytical materials in natural and social science fields.
VL  - 4
IS  - 1
ER  -

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