Invariants of the Hilbert Transform for 23-Hilbert Problem

Mazurkin Peter Matveevich

doi:doi:10.11648/j.ash.20150101.11

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Invariants of the Hilbert Transform for 23-Hilbert Problem

Mazurkin Peter Matveevich

Published in Advances in Sciences and Humanities (Volume 1, Issue 1)

Received: 20 July 2015 Accepted: 31 July 2015 Published: 1 August 2015

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Abstract

Process of identification of steady laws in the form of asymmetric wavelet signals is stated. Thus the wave equations with variables amplitude and the period of fluctuation are designed from the generalized invariant and its fragments. This invariant according to Hilbert is reasonable as the biotechnical law generalizing almost all known laws of distribution. The essence, structure and parameters of the biotechnical law and its fragments is in detail shown. For identification statistical data of measurements in the form of tabular model are required. Then Hilbert's 23rd problem is solved as a problem of statistical (probabilistic) modeling. At the first stage the variation of functions is reduced to conscious selection of steady laws and designing on their basis of steady wave regularities adequate to studied natural processes. At the second stage there is a consecutive structural and parametrical identification of regularities on statistical selections by the sum asymmetric wavelets. The decision 23-oh Hilbert's problems by the one and only universal algebraic wave equation, in the general form on Descartes's hypothesis where half of amplitude and the period are displayed by the biotechnical law is given. Everyone wavelet this algebraic equation contains two fundamental physical constants – the number of time or Napier and the number of space or Archimedes

Published in	Advances in Sciences and Humanities (Volume 1, Issue 1)
DOI	10.11648/j.ash.20150101.11
Page(s)	1-12
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), 2024. Published by Science Publishing Group

Keywords

23-oh Hilbert's Problems, Algebraic Wave, Identification, Asymmetric Wavelet Signals

References

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Mazurkin Peter Matveevich. (2015). Invariants of the Hilbert Transform for 23-Hilbert Problem. Advances in Sciences and Humanities, 1(1), 1-12. https://doi.org/10.11648/j.ash.20150101.11

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Mazurkin Peter Matveevich. Invariants of the Hilbert Transform for 23-Hilbert Problem. Adv. Sci. Humanit. 2015, 1(1), 1-12. doi: 10.11648/j.ash.20150101.11

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Mazurkin Peter Matveevich. Invariants of the Hilbert Transform for 23-Hilbert Problem. Adv Sci Humanit. 2015;1(1):1-12. doi: 10.11648/j.ash.20150101.11

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@article{10.11648/j.ash.20150101.11,
  author = {Mazurkin Peter Matveevich},
  title = {Invariants of the Hilbert Transform for 23-Hilbert Problem},
  journal = {Advances in Sciences and Humanities},
  volume = {1},
  number = {1},
  pages = {1-12},
  doi = {10.11648/j.ash.20150101.11},
  url = {https://doi.org/10.11648/j.ash.20150101.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ash.20150101.11},
  abstract = {Process of identification of steady laws in the form of asymmetric wavelet signals is stated. Thus the wave equations with variables amplitude and the period of fluctuation are designed from the generalized invariant and its fragments. This invariant according to Hilbert is reasonable as the biotechnical law generalizing almost all known laws of distribution. The essence, structure and parameters of the biotechnical law and its fragments is in detail shown. For identification statistical data of measurements in the form of tabular model are required. Then Hilbert's 23rd problem is solved as a problem of statistical (probabilistic) modeling. At the first stage the variation of functions is reduced to conscious selection of steady laws and designing on their basis of steady wave regularities adequate to studied natural processes. At the second stage there is a consecutive structural and parametrical identification of regularities on statistical selections by the sum asymmetric wavelets. The decision 23-oh Hilbert's problems by the one and only universal algebraic wave equation, in the general form on Descartes's hypothesis where half of amplitude and the period are displayed by the biotechnical law is given. Everyone wavelet this algebraic equation contains two fundamental physical constants – the number   of time or Napier and the number   of space or Archimedes},
 year = {2015}
}

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TY  - JOUR
T1  - Invariants of the Hilbert Transform for 23-Hilbert Problem
AU  - Mazurkin Peter Matveevich
Y1  - 2015/08/01
PY  - 2015
N1  - https://doi.org/10.11648/j.ash.20150101.11
DO  - 10.11648/j.ash.20150101.11
T2  - Advances in Sciences and Humanities
JF  - Advances in Sciences and Humanities
JO  - Advances in Sciences and Humanities
SP  - 1
EP  - 12
PB  - Science Publishing Group
SN  - 2472-0984
UR  - https://doi.org/10.11648/j.ash.20150101.11
AB  - Process of identification of steady laws in the form of asymmetric wavelet signals is stated. Thus the wave equations with variables amplitude and the period of fluctuation are designed from the generalized invariant and its fragments. This invariant according to Hilbert is reasonable as the biotechnical law generalizing almost all known laws of distribution. The essence, structure and parameters of the biotechnical law and its fragments is in detail shown. For identification statistical data of measurements in the form of tabular model are required. Then Hilbert's 23rd problem is solved as a problem of statistical (probabilistic) modeling. At the first stage the variation of functions is reduced to conscious selection of steady laws and designing on their basis of steady wave regularities adequate to studied natural processes. At the second stage there is a consecutive structural and parametrical identification of regularities on statistical selections by the sum asymmetric wavelets. The decision 23-oh Hilbert's problems by the one and only universal algebraic wave equation, in the general form on Descartes's hypothesis where half of amplitude and the period are displayed by the biotechnical law is given. Everyone wavelet this algebraic equation contains two fundamental physical constants – the number   of time or Napier and the number   of space or Archimedes
VL  - 1
IS  - 1
ER  -

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Author Information

Mazurkin Peter Matveevich

Department of environmental engineering, Volga State University of Technology, Yoshkar-Ola, Republic of Mari El, Russian Federation

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Mazurkin Peter Matveevich. (2015). Invariants of the Hilbert Transform for 23-Hilbert Problem. Advances in Sciences and Humanities, 1(1), 1-12. https://doi.org/10.11648/j.ash.20150101.11

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ACS Style

Mazurkin Peter Matveevich. Invariants of the Hilbert Transform for 23-Hilbert Problem. Adv. Sci. Humanit. 2015, 1(1), 1-12. doi: 10.11648/j.ash.20150101.11

Copy | Download

AMA Style

Mazurkin Peter Matveevich. Invariants of the Hilbert Transform for 23-Hilbert Problem. Adv Sci Humanit. 2015;1(1):1-12. doi: 10.11648/j.ash.20150101.11

Copy | Download

@article{10.11648/j.ash.20150101.11,
  author = {Mazurkin Peter Matveevich},
  title = {Invariants of the Hilbert Transform for 23-Hilbert Problem},
  journal = {Advances in Sciences and Humanities},
  volume = {1},
  number = {1},
  pages = {1-12},
  doi = {10.11648/j.ash.20150101.11},
  url = {https://doi.org/10.11648/j.ash.20150101.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ash.20150101.11},
  abstract = {Process of identification of steady laws in the form of asymmetric wavelet signals is stated. Thus the wave equations with variables amplitude and the period of fluctuation are designed from the generalized invariant and its fragments. This invariant according to Hilbert is reasonable as the biotechnical law generalizing almost all known laws of distribution. The essence, structure and parameters of the biotechnical law and its fragments is in detail shown. For identification statistical data of measurements in the form of tabular model are required. Then Hilbert's 23rd problem is solved as a problem of statistical (probabilistic) modeling. At the first stage the variation of functions is reduced to conscious selection of steady laws and designing on their basis of steady wave regularities adequate to studied natural processes. At the second stage there is a consecutive structural and parametrical identification of regularities on statistical selections by the sum asymmetric wavelets. The decision 23-oh Hilbert's problems by the one and only universal algebraic wave equation, in the general form on Descartes's hypothesis where half of amplitude and the period are displayed by the biotechnical law is given. Everyone wavelet this algebraic equation contains two fundamental physical constants – the number   of time or Napier and the number   of space or Archimedes},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Invariants of the Hilbert Transform for 23-Hilbert Problem
AU  - Mazurkin Peter Matveevich
Y1  - 2015/08/01
PY  - 2015
N1  - https://doi.org/10.11648/j.ash.20150101.11
DO  - 10.11648/j.ash.20150101.11
T2  - Advances in Sciences and Humanities
JF  - Advances in Sciences and Humanities
JO  - Advances in Sciences and Humanities
SP  - 1
EP  - 12
PB  - Science Publishing Group
SN  - 2472-0984
UR  - https://doi.org/10.11648/j.ash.20150101.11
AB  - Process of identification of steady laws in the form of asymmetric wavelet signals is stated. Thus the wave equations with variables amplitude and the period of fluctuation are designed from the generalized invariant and its fragments. This invariant according to Hilbert is reasonable as the biotechnical law generalizing almost all known laws of distribution. The essence, structure and parameters of the biotechnical law and its fragments is in detail shown. For identification statistical data of measurements in the form of tabular model are required. Then Hilbert's 23rd problem is solved as a problem of statistical (probabilistic) modeling. At the first stage the variation of functions is reduced to conscious selection of steady laws and designing on their basis of steady wave regularities adequate to studied natural processes. At the second stage there is a consecutive structural and parametrical identification of regularities on statistical selections by the sum asymmetric wavelets. The decision 23-oh Hilbert's problems by the one and only universal algebraic wave equation, in the general form on Descartes's hypothesis where half of amplitude and the period are displayed by the biotechnical law is given. Everyone wavelet this algebraic equation contains two fundamental physical constants – the number   of time or Napier and the number   of space or Archimedes
VL  - 1
IS  - 1
ER  -

Copy | Download