The article examines the historical aspect of the
appearance of the concept of the photon, which was
introduced through the works of Planck, Einstein,
Compton, Lewis. It is noted that the photon has both
corpuscular characteristics (momentum, mass, energy)
and wave (frequency, wavelength), which are
interconnected. Thus, the photon has dual properties – of
a particle and a wave. The article deals with the analysis
described in the literature of the photon model proposed
by S.M. Polyakov and O.S. Polyakova, F.M.
Konarevym-Krauzerom, V.G.Kozlovym and S.I.
Chervyakov, as well as with their advantages and
disadvantages. A version of the model in the form of a
photon of two identical but oppositely charged halfmass,
which simultaneously perform translational,
rotational and vibrational motion was suggested. We
have shown derivation of the amplitude of vibration of
the two half-mass photon connected with simple relation
with wavelength, described with this photon. On this
basis, it is concluded that the state of a photon is
characterized by a rotational movement of its oppositely
charged half-stuff, which radius (r) is the amplitude of
the oscillation process of each of the half-mass, and
described by oppositely charged half-mass
circumference length S in expanded form in a result of
the progressive movement is the length wave l. This
work displays the wave equation describing the motion
of photons in the form of a standing wave which is a
complete analog-independent Schrödinger equation for
the motion of an electron in a hydrogen atom
Movement of geographical and magnetic poles versus celestial bodies’ positions is examined on the basis of the special and general relativity theory.
In the article, we have considered the application of a system-cognitive analysis and the Eidos-X++ intellec-tual system to create complex multifactor models of nonlinear control objects on the basis of noisy frag-mented empirical data of large dimension and for the use of these models to solve problems of forecasting, executive decision making and research of the model objects. We have formulated the systematic generalization of the principle of Ashby (for nonlinear systems). The numerical example of a study of an abstract nonlinear system (Lissajous figures), in which the combined effect of multiple factors is the sum of the influences of each of these factors separately, that says about non-compliance of these factors, the principle of superposition and nonlinear effects in the system under consideration. It is shown, that the proposed device and software tools allow us to model such systems. We note, that the proposed device and instrumentation allow to interpret some classification scale, as projected geographical coordinates of the event, and others, like the foreseeable events and their severity, which allows you to get cartographic visualization of recognition of the place and time of events
The model of functioning of the telecommunication network in the conditions of three main stages of typical software and hardware impact is considered in the article. The factors, affecting the quality of the detection of software and hardware impacts are determined
Perturbed motion of a pole of the Earth caused by gravitational
action of celestial bodies is explored in the
article
The article’s conclusion is that for adequate and effective inflation modeling in Russia by means of modern neuronet technologies it is necessary to consider tendencies of economic development. For training and forecast, it is necessary to use only those periods of time within the limits of which identical economic tendencies work. The article uses modern tool means, such as neuronet, which is offered to technology, for approximation and forecasting of rates of inflation
Statistical methods are widely used in domestic
feasibility studies. However, for most managers,
economists and engineers, they are exotic. This is
because modern statistical methods are not taught in
the universities. We discuss the situation, focusing
on the statistical methods for economic and
feasibility studies, ie, econometrics. In the world of
science, econometrics has a rightful place. There are
scientific journals in econometrics, Nobel Prizes in
Economics are awarded to series of researches in
econometrics. The situation in the field of scientific
and practical work and especially the teaching of
econometrics in Russia is disadvantaged. Often,
individual particular constructions replace
econometrics in general, such as those related to
regression analysis. In econometrics we select three
types of scientific and applied activities:
development and study of methods of applied
statistics, taking into account the specifics of
economic data; development and study of
econometric models, in accordance with the specific
needs of economic science and practice; the use of
econometric methods for statistical analysis of
specific economic data. This article describes these
three types of scientific and applied activities. We
discuss the specificity of economic data. We show
the importance of economic non-numeric values. We
discuss the statistics of interval data - scientific
direction at the joint of metrology and statistics. We
give the representation of the econometric models.
Problems of application of econometric methods are
considered as an example of inflation. We discuss
the statistics and econometrics as the field of
scientific and practical activities. We have examined
econometric methods in practical and training
activities
In the article, the goal is a new way to consider some of the processes and phenomena occurring in the Universe and the world around us, to try and answer the question – what is actually a time? To give a contemporary, according to the author, the conceptual apparatus of the categories of space and time. Another goal of the work is to give hypotheses for further developments in the study of the laws of dialectics through existing-relational relations of space objects
The method of ordinary least squares (OLS) is widely known and deservedly popular. However, some attempts to improve this method. The result of one of such attempts is the weighted least squares (WMNC), the essence of which is to give the observation a weight which is inversely proportional to the errors of their approximation. Thereby, in fact, monitoring is ignored the more the difficult to approximate it. The result of this approach, formally, is the approximation error decreasing, but in fact, this occurs by partial refusal to consider the "problem" of observations, making a big mistake. If the idea underlying WMNC to bring to the extreme (and absurd), then in the limit, this approach will lead to the fact that from the entire set of observations there will be only those that lie almost exactly on the trend obtained by the method of least squares, and the rest will simply be ignored. However, according to the author, it's not a problem, and the failure of its decision, though it might look like a solution. In the work we have proposed a solution, based on the theory of information: to consider the weight of observations, the number of the argument of the value function. This approach was validated in the framework of a new innovative method of artificial intelligence: methods for automated system-cognitive analysis (ASA-analysis) and implemented 30 years ago in its software toolkit, which is "Eidos" intelligent system in the form of so-called "cognitive functions". This article presents an algorithm and software implementation of this approach, illustrated in detailed numerical example. In the future it is planned to give a detailed mathematical basis of the method of weighted least squares, which is modified by the application of information theory to calculate the weights of the observations, and investigate its properties
This article briefly discusses the mathematical nature of the author's proposed modification of the weighted least squares, in which the amount of the data is used as the weights of observations. There are two variants of this modification. In the first one, the weighting of the observations was made by replacing one observation with a certain amount of the information in it by the corresponding number of observations for unit weight, and then we applied the standard method of least squares. In the second method, the weighting of the observations was performed for each value of the argument by replacing all observations with a certain amount of information in one observation of unit weight which had been obtained as a weighted average of them, and then we applied the standard method of least squares. We have described in detail the technique of numerical calculations of the amount of information in the observations, based on the theory of automated system-cognitive analysis (ASC-analysis) and implemented it with a help of software tools - intelligent system called "Eidos". The article provides an illustration of the proposed approach on a simple numerical example. In the future, we are planning to give more detailed mathematical basis of the method of weighted least squares, which is modified by using the amount of information as weights, but also to explore its properties