In the article, the embodying of operation of integrating of systems, being generalization of operation of
integrating of sets within the limits of system generalization of the theory of sets is considered. This operation is similar to bulean integrating operation of the
classical theory of sets. However, unlike the classical
theory of sets, the concrete algorithm of integrating of
systems in its system generalization is offered and the
quantitative standard system effect (synergetic, emergetic) arising with the application of integrating of
systems is proved. For this standard, the unique name
is offered: «The generalized coefficient of emerge by
R.Hartley» because of likeness of its mathematical
form to the local coefficient of emerge by Hartley,
reflecting a degree of difference of system from the set
of its base elements. The reference to the author's program realizing offered algorithm and providing numerical modeling of integrating of systems at various restrictions on complexity of systems and at various
power of generating set is given, some effects of numerical modeling are given
Criterions of the choice of electronic blocks of calculate technique means, that require special (higher) attention in point of view of their diagnostic and technical state prognosing, are offered in this article; an example of using of the hierarchies analysis method to determine such elements is considered
In this article, we construct polynomials of third, fourth and fifth degrees with Galois groups as and respectively. In addition, we give examples of polynomials different degrees with Galois groups isomorphic transitive subgroup of group , but calculations with help Maple show that Galois groups of this polynomials is . Also Polynomials with as Galois groups are shown
In the article with the help of a technique, based on discretization initial problem of time variable and the method of basic potentials, is constructed the approximate solution of the second two-dimensional problem for the equation of diffusion with depending on concentration coefficients and source function. The general view of the approximate solution of this problem is reduced. On concrete example convergence of the approximate solution of the problem to the exact is shown
In this paper, we investigated solutions of the Navier-Stokes equations associated with the solutions of Einstein's equations for empty space. There exists a metric in which the Navier-Stokes equations are integrated exactly. We demonstrate that the solution of the Navier-Stokes equations of general form consistent metrics describing in general relativity space with nonzero curvature
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
In this article, on a small and evident numerical example, methodological aspects of a process engineering of detection of knowledge from the trial-and-error data explicitly are considered, representation of knowledge and its usage for problem solving of forecasting, decision making and data domain examination in system-cognitive analysis (SC-analysis) and its programmatic toolkit - intellectual "Eidos" system are shown
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
In the article, the algorithm – a recurrent formula for calculation of determinants of prefractal graphs with the full primers, keeping old edges contiguity in a trajectory was received
In this article we give a generalization of Hartley's model for the measure of information. We propose a rate of emergence, which is applicable to systems obeying classical or quantum statistics. Quantum sys-tems that obey Fermi-Dirac statistics and Bose-Einstein condensate, as well as classical systems obey-ing the Maxwell-Boltzmann statistics have been con-sidered. We found that the emergence parameter of quantum and classical systems differ as well as the emergence parameter of quantum systems of fermions and bosons. Consequently, the emergence parameter might be used to distinguish the classical system and quantum system, as well as quantum system of fermions and the quantum system of bosons