The article describes a numerical example of creating intellectual application designed to predict solar flares of different classes on the basis of the history of their development in the environment of "Eidos" system. As the source data, we used the database of
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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
Wave solutions of Einstein's equations in the sixdimensional
space-time with metric signature (+, +, +, -, -, -) have been found. It is shown that solutions of this type can be used to model the structure of the electric charge
The author points out the features of synergy, which using the linearity and nonlinearity and also express-es the aspects of material unity of the world in the theory, linked to the general properties of self-development of complex systems. The universe is seen as a dissipative system with periodically remov-able elements (elementary dissipative systems)
In this article we have presented the actual idea about the evolutional character in the modern science. The reason of the unity of nature is demonstrated in the particular example using cosmology and physics
On the basis of a new paradigm of applied mathematical statistics, data analysis and economic-mathematical methods are identified; we have also discussed five topical areas in which modern applied statistics is developing as well as the other statistical methods, i.e. five "growth points" – nonparametric statistics, robustness, computer-statistical methods, statistics of interval data, statistics of non-numeric data
We have analyzed the current state of the main computer-statistical methods, identified achievements and existing problems, outlined the prospects of further movement and formulated the problems to be solved. We have also discussed the Monte Carlo methods, pseudo-random numbers, simulation, bootstrap and resampling, the automated system-cognitive analysis. We have considered the applications of computer statistics in controlling and properties of statistical packages as the tools for researchers
We have allocated the basic sources of uncertainty in various industrial and economic situations. We have also considered the role and the tasks of forecasting in the management of industrial companies, particularly in the rocket and space industry. We
have discussed the methods of organizational and economic forecasting - statistical, expert, combined, including foresight and given some suggestions for improving the forecasting and planning mechanisms for practical use when creating space systems
In this article we consider Einstein's theory of gravity in relation to the Yang-Mills theory. It is shown that in Einstein's theory there exists a metric together with the Yang-Mills theory, in which the field equations are reduced to the Liouville equation describing the
evolution of stars. The mechanism of generation of stellar energy of dark energy in the processes of geometric turbulence is discussed
This article is a continuation of the works [1,2], which were devoted to the study of hydrodynamics and transport of salt ions in the experimental electrochemical cell with a rotating disk with a cation exchange membrane of exact current modes, when the condition of local electroneutrality. This article presents a mathematical model of transport of salt ions in a cell with a rotating disk with a cation exchange membrane exorbitant current regimes, taking into account electroconvection. Under these conditions, fluid dynamics depends on the ion transport process salt and described by the system of Navier-Stokes equations in cylindrical coordinate system with the electric forces