About thirty-five years ago, the statistics of non-numerical objects was highlighted as an independent field of mathematical statistics. This article analyzes the basic ideas in this area, and relevant publications on the background of the development of applied statistics, and in connection with the system fuzzy interval mathematics
It is established that in the classical electrodynamics with
Lorenz gauge there are solutions in the form of waves of
scalar and vector potential at zero magnetic and electric
field. It is shown that wave scalar and vector potential
can interact with the substance, causing ionization of the
atoms and molecules. The analogue of scalar waves in
electrodynamics and sound waves in gas dynamics is
discussed. Proposed technical application of the waves
of scalar and vector potential similar to acoustic waves.
Discusses Tesla invented electrical device capable of
generating and receiving scalar waves
For a field task, we have shown the analytical solution of the control example by means of which the condi-tions of the correct application of a method of second-ary sources of a field. The numerical decision in the form of Fourier series of the same task, but with use of the method of secondary sources is found. The method of the registration of heterogeneity of the environment which enters secondary sources the way that bring together analytical and numerical solutions is offered
This article surveys the available statistical services in modern search engines. The statistical results are dis-cussed on the example of Russia's accession to the WTO
We investigate the hypothesis of a plurality of parallel and virtual worlds. It is assumed that sentient beings in each virtual world reach a stage of development that can create a virtual world to simulate the history of their own development. In this case, the virtual worlds are nested within each other, which put a severe restriction on the possible geometry of space-time. Discussed the draft geometry virtual worlds consistently displayed from one world to another. It is shown that in this case, the metric should be universal, depending only on the fundamental constants. There are examples of universal metrics obtained in Einstein's theory of gravitation and Yang-Mills theory
Is given the analysis of the development of expert estimates in our country after the war. Are presented a diversity of expert technologies, the main ideas and publications that help identify the driving forces of development in this promising scientific and practical field
One of the key provisions of the system fuzzy interval mathematics - the claim that the theory of fuzzy sets is the part of the theory of random sets, thus, part of the probability theory. The article is devoted to the justification of this statement. Proved number of theorems that show that the fuzzy sets and the results of operations on them can be viewed as the projections of random sets and the results of the corresponding operations on them
In this article, a model of preons electric currents caused by the motion of preons in the electron shells and nuclear shells is proposed. It is assumed that preons currents may contribute to the conductivity of the material. A closed model of electrodynamics, which describes the diffusion of the vector potential due to the contribution to the conductivity of preons currents, is formulated. An analogy of hydrodynamics and electrodynamics of continuous media with preons currents is considered. A model of the wireless transmission of electricity is proposed
The article considers measuring scales as a tool for creating formal models of real objects and a tool for increasing the degree of formalization of these models to a level sufficient to implement them on computers.
It also describes the different types of measuring scales, allowing to create models of varying degrees of formalization; lists the types of transformation valid during the processing of empirical data obtained with scales of different types; develops the task of metriza-tion of the scales, i.e. conversion to the most formalized mind; it proposes 7 ways of metrization of all the types of scales, providing a joint comparable quantitative processing of heterogeneous factors measured in different units of measure due to the conversion of all scales to one universal unit of measurement in which the measurement number of information is selected. All of these methods of metrization have been implemented in the system-cognitive analysis and in the Eidos intellectual system
In this report we have compared an approximation accuracy of distribution function of continuous random variable in a bounded region calculated with Rozenblatt-Parzen method and imaginary sources method. The comparison has been performed with theoretical distribution rule. We have explained the reasonability of using imaginary sources method in case of continuous random variable with single-mode distribution rule