Science Publishing Group: Advances in Sciences and Humanities: Table of Contents
<i>Advances in Sciences and Humanities (ASH)</i> is a peer-reviewed and open access bi-monthly journal dedicated to both sciences and humanities, which welcomes regular articles, research papers, reviews, surveys, and brief letters from academic professionals, researchers, students, and non-academic authors.
http://www.sciencepublishinggroup.com/j/ash Science Publishing Group: Advances in Sciences and Humanities: Table of Contents
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Advances in Sciences and Humanities
Advances in Sciences and Humanities
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Invariants of the Hilbert Transform for 23-Hilbert Problem
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150101.11
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
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
Invariants of the Hilbert Transform for 23-Hilbert Problem
doi:10.11648/j.ash.20150101.11
Advances in Sciences and Humanities
2015-08-01
© Science Publishing Group
Mazurkin Peter Matveevich
Invariants of the Hilbert Transform for 23-Hilbert Problem
1
1
12
12
2015-08-01
2015-08-01
10.11648/j.ash.20150101.11
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150101.11
© Science Publishing Group
Riemann’s Hypothesis and Critical Line of Prime Numbers
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150101.12
The binary numeral system is applied to the proof of a hypothesis of Riemann to a number of prime numbers. On the ends of blocks of a step matrix of binary decomposition of prime numbers are located a reference point. Because of them there is a jump of a increment of a prime number. The critical line and formula for its description is shown, interpretation of mathematical constants of the equation is given. Increment of prime numbers appeared an evident indicator. Increment is a quantity of increase, addition something. If a number of prime numbers is called figuratively "Gauss-Riemann's ladder", increment can assimilate to the steps separated from the ladder. It is proved that the law on the critical line is observed at the second category of a binary numeral system. This model was steady and at other quantities of prime numbers. Uncommon zero settle down on the critical line, and trivial – to the left of it. There are also lines of reference points, primary increment and the line bending around at the left binary number. Comparison of ranks of different power is executed and proved that the critical line of Riemann is only on the second vertical of a number of prime numbers and a number of their increments.
The binary numeral system is applied to the proof of a hypothesis of Riemann to a number of prime numbers. On the ends of blocks of a step matrix of binary decomposition of prime numbers are located a reference point. Because of them there is a jump of a increment of a prime number. The critical line and formula for its description is shown, interpretation of mathematical constants of the equation is given. Increment of prime numbers appeared an evident indicator. Increment is a quantity of increase, addition something. If a number of prime numbers is called figuratively "Gauss-Riemann's ladder", increment can assimilate to the steps separated from the ladder. It is proved that the law on the critical line is observed at the second category of a binary numeral system. This model was steady and at other quantities of prime numbers. Uncommon zero settle down on the critical line, and trivial – to the left of it. There are also lines of reference points, primary increment and the line bending around at the left binary number. Comparison of ranks of different power is executed and proved that the critical line of Riemann is only on the second vertical of a number of prime numbers and a number of their increments.
Riemann’s Hypothesis and Critical Line of Prime Numbers
doi:10.11648/j.ash.20150101.12
Advances in Sciences and Humanities
2015-08-01
© Science Publishing Group
Mazurkin Peter Matveevich
Riemann’s Hypothesis and Critical Line of Prime Numbers
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1
29
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2015-08-01
2015-08-01
10.11648/j.ash.20150101.12
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150101.12
© Science Publishing Group
Wavelet Analysis Statistical Data
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150102.11
Examples of modeling, identification of the amount of asymmetric wavelet signal behavior of natural objects: the pulse of the electrocardiogram of a healthy person; natural drying samples meadow grass; mutual influence of forest cover and tilled territory; Crisis dynamics of the ruble and default 1998 y.; volume of patenting and forecast innovations in Russia until 2020 y.; dynamics of forest fires in the national park for the 1982-2011 y.; hour increments pulses alpha decay 239Pu sample at the maximum of the solar eclipse; amplitude of gravitational waves from the orbital period of 10 pulsars in the model splashing Universe
Examples of modeling, identification of the amount of asymmetric wavelet signal behavior of natural objects: the pulse of the electrocardiogram of a healthy person; natural drying samples meadow grass; mutual influence of forest cover and tilled territory; Crisis dynamics of the ruble and default 1998 y.; volume of patenting and forecast innovations in Russia until 2020 y.; dynamics of forest fires in the national park for the 1982-2011 y.; hour increments pulses alpha decay 239Pu sample at the maximum of the solar eclipse; amplitude of gravitational waves from the orbital period of 10 pulsars in the model splashing Universe
Wavelet Analysis Statistical Data
doi:10.11648/j.ash.20150102.11
Advances in Sciences and Humanities
2015-08-12
© Science Publishing Group
Mazurkin Peter Matveevich
Wavelet Analysis Statistical Data
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2015-08-12
2015-08-12
10.11648/j.ash.20150102.11
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150102.11
© Science Publishing Group
Method of Identification of Wave Regularities According to Statistical Data (Of Dynamics of a Rate of Inflation of US Dollar)
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150102.12
The method of identification is shown on the example of dynamics of a rate of inflation of US dollar on months from January 2000 to May 2015. The equations of a trend and oscillatory indignations on the basis of steady laws on the generalized wave function in the form of an asymmetric wavelet signal with variables of amplitude and the period of fluctuation are received. In total are revealed 14 mega, macro and meso fluctuations of economy of the USA on a dollar rate of inflation. On the remains
The method of identification is shown on the example of dynamics of a rate of inflation of US dollar on months from January 2000 to May 2015. The equations of a trend and oscillatory indignations on the basis of steady laws on the generalized wave function in the form of an asymmetric wavelet signal with variables of amplitude and the period of fluctuation are received. In total are revealed 14 mega, macro and meso fluctuations of economy of the USA on a dollar rate of inflation. On the remains
Method of Identification of Wave Regularities According to Statistical Data (Of Dynamics of a Rate of Inflation of US Dollar)
doi:10.11648/j.ash.20150102.12
Advances in Sciences and Humanities
2015-08-12
© Science Publishing Group
Mazurkin Peter Matveevich
Method of Identification of Wave Regularities According to Statistical Data (Of Dynamics of a Rate of Inflation of US Dollar)
1
2
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51
2015-08-12
2015-08-12
10.11648/j.ash.20150102.12
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=323&doi=10.11648/j.ash.20150102.12
© Science Publishing Group