2021 Issue №4

Because of the diversity and uncertainty of information, the creation of new effective, integrated models of knowledge representations and cognitive modeling of the mechanisms of conceptualization, categorization, transforma­tion, naming and deformation of operational images of situations and states have become particularly acute. Visualization of spatial and temporal rela­tions on resources and actions to express the semantics of the state of a com­plex system, the introduction of psychologically justified heuristics of the functional system of substantive action and a dynamic operational image into the supporting decision procedures will show the structure and dynamics of changes in the operational image. The paper presents the results of the study of the content of the concepts "event", "situation", "state" and “mode" of opera­tional activity. Here, we also describe concepts and models of "cognitive im­age" and "dynamics of the operational image" of the object of operational and technological control, their verbal-predicative and subject-pictorial compo­nents in the regional intellectual electric power industry.

It is shown that the quantum Fourier transform preserves the commuta­tion relations between the bilinear functions of the creation and annihilation operators. Based on the definition of the quantum Fourier transform introdu­ced in the framework of the Ising model, two of its special cases are considered. It is shown that one particular case of the quantum Fourier transform is reali­zed in the model of a symmetric beam splitter.

The relations connecting the disturbances for the acoustic and entropy (stationary) modes are analytically established, and the diagnostic equations to be solved are obtained. These equations define the acoustic and entropy mo­des in an arbitrary stratified gas under the condition of stability. The diagnos­tic relationships are independent of time and determine the acoustic and entro­py modes and provide the ability to unambiguously decompose the gene­ral disturbance vector into acoustic and non-acoustic (entropy) parts at any time within the entire available range of heights.

The article is dedicated to the task of construction and analysis of exactly solvable mathematical model for the mutagenesis in mitochondrial DNA (mtDNA). We begin by demonstrating that the average amounts of all four types of nucleotides (adenine A, guanine G, cytosine C and thymine T) is de­ter­mined by a system of four O. D. E.’s of first order, and that this system is fur­ther reducible to a single linear inhomogeneous O. D. E. of third order. Next, we classify all possible solutions to that equation and derive an explicit ge­neral form of equilibrium (i. e. asymptotic) states of mtDNA as a function of a mitochondrial mutational spectrum.

In this work, an attempt is made to consider hypothetical cosmological mo­dels free from two types of singularities: divergent action and divergent sca­lar curvature. Such models form an extremely narrow subclass and look qui­te unnatural. However, our goal is to show that such cosmologies are pos­sible in principle without conflicting with current physical paradigms.