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One can notice that quite often difference between so-called "standard students" and "gifted" ones is not because that first are less smart, but they have different "orientation", they consider subject as a collections of rules which should not be broken. The first aim is to overcame this dogmatic point of view on this subject, and only after that possible to judge a person to be talented one or not. This is the first stage of math education, the material needs just to serve it. The technology of overcoming this wrong relation to subject is discoursed in spirit of the I.S.Rubanov paper "Method of Mathematical induction" (see chapter 9, http://www.ams.org/books/mawrld/007/). Giftness problems and staging of math (and scientific) education are discoursed., Comment: 6 pages, In Russian

A series of papers in the ISJAEE Journal on 'dam-free hydroelectric power station' concluded by paper: Zotyev, D. B., Alternative energy vs pseudo-science, ISJAEE. 2013. 8(130). P.131-136, is reviewed and commented. A comparison with the generally accepted energy conservation law in hydrodynamics reveals a disappointingly low scientific level of the reviewed papers (both pro- and contra- the dam-free concept), not excluding the published peer-reviewer reports. In the present version we emphasize that the ISJAEE journal published several papers, which neglect and reject the basic physical concepts, such as the Bernoulli integral, the energy conservation law in hydrodynamics, the wave function of photon and some others, with all these rejected concepts being far beyond the scientific scope of the journal. Some readers will be more concerned about the energy equation in hydrodynamics, in its theoretical form or in the Bernoulli integral form as being more traditional in technical hydromechanics. Some readers will be shocked with the statement that a photon does not possess the wave function. Overall, in this way or in that way, all readers will hardly stay unsurprised., Comment: 15 pages, in Russian. Submitted to ISJAEE

The mechanics of the Soviet library system, the availability of libraries to the citizenry, organizational components, and the development and planning principles of librarianship as they follow Leninist national policy are discussed in this paper by V.V. Serov, Head of the Main Library Directorate, USSR Ministry of Culture. A program of library system construction within the socialist state designed by V.I. Lenin stresses the role of libraries in disseminating knowledge and politically educating the working people. The Decree of the Central Committee of the Communist Party of the Soviet Union further developed the library's role and centralized the library network structure. State control ensures the availability of library services to all Soviet citizens, beginning with public libraries and extending to specialized facilities for scientific and technical professionals. The State oversees the centralized library network, providing equipment and techniques, methodological and research activities, library construction, and preparation of library staff. Problems still exist with centralized acquisition, the preparation of library personnel, and the improvement of the material and technical base of many libraries. In a comment paper, Alphonse Trezza, Executive Director of the National Commission on Libraries and Information Science, discusses library service and future planning implications in the United States as compared with the Soviet library system. (CWM)

An objective description of the programs and outline of the problems of the Lenin State Library are presented by I.P. Osipova of the Lenin State Library of the USSR, and a comparison between that library and the Library of Congress (LC) is presented by Frank M. McGowan. The Lenin Library serves as national library of the USSR, state repository of domestic and foreign printed materials, cultural information center, center for selected bibliography and interlibrary loan, research center in library science, and methodological and consultative center for Soviet libraries. Osipova discusses these functions in detail and notes that the library's information work deals with reference services, preparation of information sources, and the establishment of reference tools. The centralization and branch-networks of the Soviet libraries are stressed, and problems are briefly mentioned. In commenting on this paper, McGowan notes Osipova's avoidance of controversial issues and subjectively compares the Lenin Library and LC. The most significant difference is that the former is an officially designated national library, with broadly defined responsibilities, while the latter is not. The national responsibilities and services of both libraries are contrasted, and problems concerning growth of staff, space allocation, and collection development are noted. (CWM)

The organization and development of the library education system in the USSR is described by K. I. Abramov of the Moscow State Institute of Culture and is summarized in a comment paper by Charles D. Churchwell, Washington University. Abramov begins by stating the philosophical basis for the existence of libraries and librarians in the USSR, and describes the indispensable roles they are expected to play in the development of a socialist society. A description of the library education system notes persons who have played prominent roles in the development of the theory and practice of librarianship in Russia, but focuses on the specific parts of the library education network. Programs and courses, and their organization, are detailed. Changes taking place in library education in Russia are reviewed and a statement of plans for continued growth and improvement of both libraries and library education is provided. Churchwell makes some comparisons between library education in the United States and the USSR. He also amplifies Abramov's presentation, raises questions regarding the system of library education, and notes possible improvements for the future. (CWM)

In describing the role of Soviet libraries in the satisfaction of information needs of specialists, I.K. Kirpicheva has provided a comprehensive picture of the extensive system for the State System Scientific and Technical Information (SSSTI) in support of the accelerated development of Soviet science and technology. Information needs arising at various stages of research and in the practical realization of scientific and technological developments are classified as needs satisfied mainly through information services, through library services, or through informal channels; improvement of services to the information user is accomplished through a cooperative information network along with the utilization of library science user research. A centrally controlled, national integrated plan underlies the information network with a set of unified principles and standards covering all levels of information transfer. In a reaction paper, M.S. Day, Director of the National Technical Information Service, notes the comprehensiveness of the SSSTI plan but questions the formal structure linking and cross-linking the libraries regarding possibilities for change. In addition, Day probes different usages of formal and informal communication channels in the USSR and the United States and asks for elaboration of other problems. (CWM)

The development and use of library statistics in the Soviet Union and systems of reporting are discussed in this speech by E.A. Fenelonov, Ministry of Culture of the Russian Soviet Federal Socialist Republic, and are compared with statistical development in the United States by Vernon E. Palmour of King Research, Inc. Fenelonov emphasizes the use of library statistics in evaluation, planning and forecasting of future activities. A history of statistical development begins with major attention toward measurement and evaluation of external manifestations of library developments and moves toward the forecasting approach to the problems of library business. Fenelonov stresses the centralization of library reporting and details the procedures used in the collection and processing of statistical data. The use of library statistics in management and coordination are described, and future collection and utilization methods are mentioned. An appendix lists the exponents of library statistics in different forms of library reports. Palmour briefly discusses similarities and differences in the use of library statistics in the United States and the USSR, and poses questions regarding national standards and reporting systems. (CWM)

The development and management of children's libraries and library services in the USSR are discussed by N.S. Kobzarenko, State Republican Library for Children of the Ukraine, and comparisons and contrasts between that system and the U.S. system are outlined. Kobzarenko notes that library services for children, established along directives from V.I. Lenin, exist to help schools ensure educational process, to aid in the development of a child's personality and morals, and to assist parents, teachers, and educators with questions regarding children's reading. Materials are regulated through a centralized State library system which publishes books through its own publishing houses. Librarians are trained in the guidance of reading using various detailed methods and programs. The improvement of professional skills of the staff is recognized through methodical centers for research and through government standards. Marilyn Miller, from the University of North Carolina School of Library Science, points out that library services in the United States and the USSR reflect each nation's ideological, social, and economic philosophies while both are dedicated to the welfare of the children served. Objectives for public library service, programming, and collections are compared. (CWM)

The paper studies the quantum action for the five-dimensional real $\phi^3$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The explicit form of the first three coefficients for the renormalization constants is presented. The absence of non-local singular contributions and partial results for the fourth correction are discussed., Comment: LaTeX, 20 pages, 5 figures. Firstly appeared in Russian, April 9, 2024, see https://www.pdmi.ras.ru/preprint/2024/24-05.html

This paper presents the experience of developing and utilizing computer simulations for student laboratory assignments in atomic physics, specifically focusing on emission atomic spectra. The fundamental component of each laboratory assignment is a computer simulator of a spectrograph, which displays atomic line spectra on the monitor screen. The simulator operates by converting the wavelength of radiation into an RGB triplet. Calibration of the spectrograph is conducted using the atomic spectrum of mercury. The configuration of setup parameters and experimental conditions is unique to each student conducting the laboratory assignment using the simulator. Individualized parameters, stored in Google Sheets, are transferred to the HTML template of the laboratory assignment via the Google Apps Scripts service. This individualization of simulator parameters serves to encourage students to engage in independent work., Comment: 17 pages, in Russian, 9 figures

The paper discusses an applicability criterion for a cutoff regularization in the coordinate representation in the Euclidean space with a dimension larger than two. It is shown that the set of functions satisfying the criterion is not empty. As an example, an explicit function is presented. It is proved by explicit construction that there are functions satisfying the criterion in a stronger formulation., Comment: LaTeX, 8 pages, 1 figure. Firstly appeared in Russian, March 5, 2024. Compared to the Russian version, some comments and minor corrections have been added. The forgotten imaginary unit in the Fourier transform has also been restored. See https://www.pdmi.ras.ru/preprint/2024/24-04.html

The paper presents various modifications of the Frank-Wolfe algorithm in the equilibrium traffic assignment problem. The Beckman model is used as a model for experiments. In this article, first of all, attention is paid to the choice of the direction of the basic step of the Frank-Wolfe algorithm. Algorithms will be presented: Conjugate Frank-Wolfe (CFW), Bi -conjugate Frank-Wolfe (BFW), Fukushima Frank-Wolfe (FFW). Each modification corresponds to different approaches to the choice of this direction. Some of these modifications are described in previous works of the authors. In this article, following algorithms will be proposed: N-conjugate Frank-Wolfe (NFW), Weighted Fukushima Frank-Wolfe (WFFW). These algorithms are some ideological continuation of the BFW and FFW algorithms. Thus, if the first algorithm used at each iteration the last two directions of the previous iterations to select the next direction conjugate to them, then the proposed algorithm NFW is using more than N previous directions. In the case of Fukushima Frank-Wolfe, the average of several previous directions is taken as the next direction. According to this algorithm, a modification WFFW is proposed, which uses a exponential smoothing from previous directions. Experiments with various modifications were carried out on several datasets representing urban structures and taken from publicly available sources. The relative gap value was taken as the quality metric. The experimental results showed the advantage of algorithms using the previous directions for step selection over the classic Frank-Wolfe algorithm. In addition, an improvement in efficiency was revealed when using more than two conjugate directions. For example, on various datasets, the modification 3FW showed the best convergence. In addition, the proposed modification WFFW often overtook FFW and CFW, although performed worse than NFW., Comment: 14 pages, in Russian language, 8 figures

The paper tests the validity of the critique of the fiscal theory of the price level. A stochastic general equilibrium model with continuous time is constructed. An active fiscal policy and a passive monetary policy have been set. Monetary policy manages the interest rate through the Taylor rule. The stochastic default factor in the special form is introduced. A complete definite system of equations is obtained for the detection of equilibrium. It is asserted that the peculiarities of the approach to modeling are of critical importance for verifying the presence of certain hypotheses and formulating conclusions. The results of this work are in support of the fiscal theory of the price level., Comment: Master Thesis, in Russian. Supervisor: Sergey E. Pekarski

The search for equilibrium in a two-stage traffic flow model reduces to the solution of a special nonsmooth convex optimization problem with two groups of different variables. For numerical solution of this problem, the paper proposes to use the accelerated block-coordinate Nesterov-Stich method with a special choice of block probabilities at each iteration. Theoretical estimates of the complexity of this approach can markedly improve the estimates of previously used approaches. However, in the general case they do not guarantee faster convergence. Numerical experiments with the proposed algorithms are carried out in the paper., Comment: in Russian language

This paper considers a wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable vector of state. The problem is to find a special function (Lyapunov function), which in the framework of the second Lyapunov method guarantees asymptotic stability for the above described class of nonlinear systems. It is well known that the search for a Lyapunov function is the "cornerstone" of mathematical stability theory. Methods for selecting or finding the Lyapunov function to analyze the stability of closed linear stationary systems, as well as for nonlinear objects with explicit linear dynamic and nonlinear static parts, have been well studied (see works by Lurie, Yakubovich, Popov, and many others). However, universal approaches to the search for the Lyapunov function for a more general class of nonlinear systems have not yet been identified. There is a large variety of methods for finding the Lyapunov function for nonlinear systems, but they all operate within the constraints imposed on the structure of the control object. In this paper we propose another approach, which allows to give specialists in the field of automatic control theory a new tool/mechanism of Lyapunov function search for stability analysis of smooth continuous dynamic nonlinear systems with measurable state vector. The essence of proposed approach consists in representation of some function through sum of nonlinear terms, which are elements of object's state vector, multiplied by unknown coefficients, raised to positive degrees. Then the unknown coefficients are selected using genetic algorithm, which should provide the function with all necessary conditions for Lyapunov function (in the framework of the second Lyapunov method)., Comment: in Russian language

The article continues the work on the description of integrable nonlinear chains with three independent variables of the following form $u^j_{n+1,x}=u^j_{n,x}+f(u^{j+1}_{n}, u^{j}_n,u^j_{n+1 },u^{j-1}_{n+1})$ by the presence of a hierarchy of reductions integrable in the sense of Darboux, started in (1). The classification algorithm is based on the well-known fact that the characteristic algebras of Darboux integrable systems have a finite dimension. In this paper, we used the characteristic algebra in the direction $x$, whose structure for a given class of models is determined by some polynomial $P(\lambda)$, whose degree does not exceed three for known examples. The article assumes that $P(\lambda)=\lambda^2$, in this case the classification problem is reduced to finding eight unknown functions of one variable. In the paper, a rather narrow class of candidates for integrability is obtained, among which there is a new example of an integrable chain., Comment: in Russian language

The article is devoted to the problem of synthesis of observers of state variables for linear stationary objects operating under conditions of noise or disturbances in the measurement channel. The paper considers a fully observable linear stationary system with known parameters. It is assumed that the state variables are not measured, and the measured output variable contains a small amplitude (in general, modulo less than one) additive noise or disturbance. It is also assumed that there is no a priori information about the disturbance or noise in the measurement channel (for example, frequency spectrum, covariance, etc.). It is well known that a large number of methods of observer synthesis have been obtained for this type of objects, including the Kalman filter, which has proven itself in practice. Under the condition of complete observability and the presence of some a priori information about the process (which is typical for the case when a disturbance in the measurement channel can be represented as white noise), approaches based on Kalman filtering demonstrate the highest quality of convergence of estimates of state variables to true values. Without taking into account the numerous results obtained using the application of the Kalman filter, an alternative idea of constructing an observer of state variables is considered in this paper. The alternative of the new approach is primarily due to the fact that there is no need to use the usual approaches based on the Luenberger observer. The paper proposes an approach based on the evaluation of unknown parameters (in this case, an unknown vector of initial conditions of the variables of the object state) of a linear regression model., Comment: in Russian language

The paper is devoted to the study of combinatorial determinacy properties of a family of substitution complexes consisting of quadrilaterals glued side-to-side with each other. These properties are useful in constructing algebraic structures with a finite number of defining relations. In particular, this method was used when constructing a finitely presented infinite nisemigroup satisfying the identity x^9 =0. This construction responds to the problem of L. N. Shevrin and M. V. Sapir. In this paper, we investigate the possibility of coloring the entire sequence of complexes into a finite number of colors, in which the property of weak determinism is fulfilled: if the colors of the three vertices of a certain quadrilateral are known, then the color of the fourth side is uniquely determined, except in some cases of a special arrangement of the quadrilateral., Comment: in Russian language

This paper continues a series of papers in which 2-by-2 matrix joint solutions of two scalar evolutionary equations are constructed, which are analogs of the Schrodinger time equations. These equations correspond to the Hamiltonian system $H^{2+2+1}$, being one of the representatives of the hierarchy of degenerations of the isomonodromic Garnier system. The mentioned hierarchy was described by H. Kimura in 1986. In terms of solutions of linear systems of ordinary differential equations of the method of isomnodromic deformations, the compatibility condition of which are the Hamiltonian equations of the system $H^{2+2+1}$, the constructed joint matrix solutions of analogs of the time equations of the Schrodinger equations in this paper will be written out explicitly., Comment: in Russian language