The dynamics of localized pulse as solutions of Davey — Stewartson II equations
A class of spatially localized solutions of Davey — Stewartson II equation is examined; it is shown that such solutions tend to lose the locality properties with time scale corresponding to a characteristic space scale of initial localization. The locality loss manifests itself with ...
The problem of complex meaning nonlinear equation in quotiend derivatives
Several ways of finding of the exact solutions inherent in the equations with soliton like solutions were applied to the given equation. In particular the presence of property of Penleve in the equation was conducted, solutions in the form of numbers of Lorana, exact solutions in the form ...
A surprising tale of long-periodic spin oscillations in the synthetic antiferromagnets: some exact solutions
... collisions between the magnetic domains of different spin orientations ( and ). The resulting model comprised of a system of nonlinear differential equations is closely examined, after which we propose a simple analytical method of construction of its exact solutions. This method is shown to generate an infinite family of solutions associated with the degenerate hypergeometric functions, parameterized by a natural number N. One of those solutions with N = 2 produces the magnetization function which perfectly ...
Generation of exact solutions of Fridman equations leading to Cardy–Verlinde formula by Darboux transformation
It is considered a possibility of generation of exact solutions for Friedman equations by Darboux transformation, for which Cardy — Verlinde formula is valid. Two modifications of Darboux transformation are offered, which let generate such solutions. Exact solutions are obtained, for which Cardy — Verlinde ...
Numerical solution of the Schrödinger equations with polynomial potentials (Part II)
The algorithm of the numerical realization of a fundamental solution of a Cauchy problem for the one-dimensional Schrodinger equation with polynomial potentials is described. The stationary Schrodinger equation for a proton in the double potential well is solved by using Ritz variation method. The Green’s function ...
The new procedure of receiving the multisoliton solutions of the KdV equation
The article offers a new method of obtaining multisoliton solutions of KdV equations by means of introducing the characteristic polynomial.
The authors form a representation for multisoliton solutions through the second logarithmic derivative of a determinant of a positive-definite matrix.
1.
Захаров ...
Ill Posed Problems and Information Security
Well posed (by Hadamard) problem has properties of existence, uniqueness and stability of its solution. Ill posed problems do not have at least one of the above properties, often this is the stability property of the solution with respect to initial conditions. The solution of such problems is sensitive even to a small change in the values of ...
A solution of the transport task in relation to the cargo rail transportation
A task of searching of the optimal route maximizing the carrier profits is formulated. А сomparison of several methods of this task solution is carried out.
1. Balas E., Martin G. ROLL-A-ROUND: Software Package for Scheduling the Rounds of a Rolling Mill. Pittsburgh, PA, 1986.
2. Fischetti M., Toth P. An additive approach for the optimal solution of the prizecollecting travelling ...
Environmentally safe growth stimulator for pre-sowing seed treatment
This article examines the influence of a pre-sowing seed treatment with a hydrogen peroxide and potassium permanganate solution on the germination, seedling growth, and average weight of the fruit of Lycopersicum esculenum. An increase in seed germination, the average weight of fruit, and resistance to adverse weather conditions and diseases and more active growth of ...
The Abel equation and cosmological scalar field zeroes
This article presents a new simple analytical method that makes it possi-ble to design solutions in describing the dynamics of the universe near the ze-roes of the scalar field potential.
1. Yurov V. А. An application of Abel’s equation of first kind to the search of solutions of Friedman’s equations // Вестник РГУ им....
Numerical solution of the linearized inverse problem for acoustic equation
In this paper we develop an algorithm of numerical solution of the inverse dynamical problem about speed of sound reconstruction in horizontally layered acoustical medium. The solution is based on linearized version of the Boundary Control Method. The inverse data is the response at the single boundary ...
Numerical solution of the Schrödinger equations with polynomial potentials (Part I)
The fundamental solution of a Cauchy problem and the spectral task for a one-dimensional Schrodinger equations with potential in the form of polynomials m P (x) (m 6) is solved. Numerical calculations are applied to modelling adiabatic potentials with two minima ...
An application of the Abel equation of first type to the task of solving the Friedman equations
An interesting connection between Einstein-Friedmann equations for the models of universe filled with scalar field and the special form of Abel equation of the first kind is presented. In particular, it is shown how, knowing the general solution of the Abel equation (corresponding to the given scalar field potential) one can obtain the general solution of the Friedmann Equation.
1.
Abel
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Oeuvres Complétes II. S. Lie and L. Sylow, Eds., Christiana, 1881.
2.
Appell P. ...
On the international cooperation of North-West Russia in the field of innovations in the Baltic
This article focuses on the cooperation between the constituent entities of the Northwestern Federal District of the Russian Federation and the Baltic countries (Finland, Estonia, and Norway) in the field of innovations at national and regional levels, as well as at the level of corporate cooperation. The author reviews successful implementation of innovation projects within cross-border and transnational cooperation programmes. The most significant projects focus on the development of information...
Artificial Intelligence: a catalyst for entrepreneurship education in the Baltics
... Udacity, an online course platform, uses AI to generate personalized learning materials and automate assignment grading.
Numerous startups and companies have been founded by students and young entrepreneurs, leveraging AI technologies for innovative solutions. Among the most notable success stories in this domain are:
Grammarly: An online service that employs AI technology to check and improve grammar and spelling in texts.
UiPath: A company specializing in the development of software for automating ...
Reputation and status in Denmark’s strategic culture
... manifesto than a strategy proper, apparently targeted at the domestic audience: it repeatedly mentions duty, responsibility and the aspiration to act on behalf of the whole world at the UN Security Council, whilst failing to set problems and propose solutions. The same pattern can be seen in the account of transformations in Danish foreign policy amidst global change given by the Danish Diplomat Kristian Jensen on 1 May 2016.<31> The most detailed sections of the strategy are dedicated to economic ...
The Visegrad Group and the Baltic Assembly: coalitions within the EU as seen through Russian foreign policy
... Integration associations that exist within the European Union are given much less attention compared with the EU, the most influential economic and political union of today.
The classical understanding of the term integration presupposes a process and a solution focused on obtaining a single whole from any parts. Integration in international relations presupposes a process rather than a solution. Accordingly, the ultimate goal of European integration is a vital question. There is no exact answer. At ...
Societal security in the Baltic Sea Region: the Russian perspective
... credibility of interstate commitments.
This study demonstrates that there are powerful domestic and international incentives that encourage Russian political leadership to opt for a cooperative rather conflictual type of behaviour in the BSR and seek solutions to the regional societal problems via negotiations, compromises and strengthening governance mechanisms and institutions (for instance, CBSS).
The data for this research are drawn from various sources:
• Russian national security documents ...
Evaluating the efficiency of the research sector in Russian regions: a dynamic data envelopment analysis
... there is the second group of n × T constraints. The expression for it differs from that for the previous one in that it lacks external summation over T (in our case, there will be 804 such constraints for each k). To ensure a more efficient numerical solution, the expressions in the model are modified in such a way as to remove cumbersome ratios (see [18, p. 327]). Since efficiency is a ratio, the denominator can be normalised to 1.
By expressing the numerators and denominators from the second group ...
Territorial structure of inbound and domestic tourism in the Baltic States
... travel markets, with the former having priority. The international campaign may focus on not only territories traditionally producing tourist traffic to the Baltics but also new Asian countries of origin. By continuing to create innovative products and solutions, the core will expand the geography of tourist trips and redistribute existing tourist flows in favour of less developed areas. This can be implemented through special marketing efforts, original niche tourism products, participation in the ...
The economy of Russian Baltic regions: development level and dynamics, structure and international trade partners
... possible conflicts that may arise from Kaliningrad’s exclave position [26].
This study aims to explore the level, structure and dynamics of the economy of Russia’s three Baltic regions and their international trade relations in 1990—2021. Possible solutions are proposed to the problems caused by external factors.
Methodology
The study spans the period from 1996 to 2021, with a focus on the last eight years. It uses official statistics from Rosstat and Russia’s Federal Customs Service. The data ...
Mathematical modeling of the process of attracting customers for paid SAAS solutions
The paper considers various aspects of attracting customers to use SaaS solutions from company X. As a test solution, an advertising company aimed at the Latin American region was considered. Based on the obtained data, a mathematical model was built that showed the most "weak" points in the advertising company and allowed us to evaluate its effectiveness....
The first Stokes method in the problem of waves on a liquid surface of finite depth
An approximate solution of the problem of the structure and characteristics of a stationary nonlinear periodic wave on the surface of a liquid of finite depth has been obtained. The solution is as follows: first, the kinematic and dynamic conditions are simplified....
1+1-Dimensional Yang — Mills Equations and Mass via Quasiclassical Correction to Action
...
9. Brüning J., Grushin V. V., Dobrokhotov S. Yu., Tudorovskii T. Ya. Generalized Foldy-Wouthuysen Transformation and Pseudodifferential Operators // Theor. Math. Phys. 2011. Vol. 167, iss. 2. P. 171—192.
10. Leble S. Quantum Corrections to Static Solutions of Nahm Equation and Sin-Gordon Models via Generalized Zeta-Function // Theor. Math. Phys. 2009. Vol. 160, iss. 1. P. 976—985.
11. Boozer A. D. Classical Yang-Mills theory // Am. J. Phys. 2011. Vol. 79, iss. 9. P. 925—931.
12. Leble S. Quantum ...
New classes of exact solutions and consistent models of cosmological evolution
A method for construction of exact cosmological solutions of Einstein equations is developed. The method is based on representation of these equations as a second-order linear differential equation. Particularly, the method allows to construct a more general solution, parametrized by two constants,...
The Flow of Gas with Dispersed Particles in a Cylindrical Channel at a Subsonic Speed
... the gas. The problem of identifying the dynamic characteristics of dispersed particle- containing inert gas feed into ladles and the converter is used to improve the accuracy of inert gas dosing. The relevant boundary value problem has no analytical solution. We consider the dynamics of a steady flow of a perfect gas containing dispersed particle in a vertical channel. Numerical methods are used to obtain a solution to the boundary value problem in the Mathcad environment. We present the results ...
GMOs in agriculture: legal regulation and discussion
... still no unanimous opinion of the effects produced by GMOs. Given the uncertainty, the ban on the use of genetic engineering in agriculture leads to the weakening of the role of legislation as a regulator of public relations. The authors suggest legal solutions to this problem striking a reasonable balance between the interests of business, society and state.
1. Информация о решении ЕСПЧ от 29.06.2010 по делу «Юбер Карон и другие (Hubert Caron and Others) ...
Bases of the theory of digital communication systems with not orthogonal carrier frequencies
The algorithm of the solution of the task of permission of signals in communication systems with not orthogonal carrier frequencies is provided. A basis are provisions of the theory of optimum reception in the annex to communication systems. It is shown that the system of ...
Numerical simulation of forming and evolution of solitons in chain of nucleotide couples
... charge movement along the discrete chain of nucleotide couples in DNA is solved in the frame of Holstein’s model taking account surrounding temperature fluctuations. For the initial conditions chosen specifically the evolution of a special class of solutions of this problem related to the type of soliton is investigated. The existence of solutions in the form of solitary waves in the framework of this model is possible only at very low temperatures the thermostat.
1. Lakhno V. D. DNA nanobioelectronics ...
To the question of control of accuracy in solving the inverse problem microseismic
... solving the inverse kinematics problem of microseismic. This problem is to determine coordinates of acoustic emission sources. Investigate questions of constructing optimal algorithms and the influence of noise in the data on the stability of the obtained solution. Demonstrate the effectiveness of this approach in comparison with generic algorithms without estimation of optimal parameters of the solution.
1. Erokhin G. N., Bortnikov P. B. Inverse problem of determination of the earthquake source seismic ...
The filtration radio pulse maximum likelihood method
This article presents a solution to the problem of resolution of two radio impulses through the maximum likelihood method. The authors have obtained expressions for the optimum processing of a set of two radio impulses in the domains of their orthogonality and non-orthogonality,...
Application the theory of an optimum detection for a spatial resolution of signals
The article deals with application of the theory of optimum detection to the azimuth resolution of two sound sources. This paper compares the solutions based on maximum likelihood method with the classical approach (Rayleigh's approach). Furthermore, the computer model and the testbench (experimental apparatus) have been created for an extensive analysis of the obtained solution. Our experimental ...
The Swedish model of spatial planning: Functions, problems, and solutions
... development plan, Special area regulations and Property regulation plan. Particular attention is paid to the influence on the planning process of the entry of Sweden to the European Union. The problems associated with spatial planning are made evident and solutions are proposed. Swedish experience may be interesting to the urban and regional planners.
1. Чистобаев А. И., Красовская О. В., Скатерщиков С. В. Территориальное планирование на ...
The impact of changes in dissolved organic carbon concentration in a solution on the sorption of platinum compounds
This article considers the impact of changing dissolved organic carbon concentration in a solution on the sorption of platinum (II), (IV) compounds (K2PtCl4, H2PtCl6) at different soil horizons. The authors prove that even small concentrations of dissolved organic carbon play an important role in platinum sorption in soil and background minerals....
The relations for potentials of filtration flows in media with common boundary and there employing for founded solutions some problems
The structure of filtration flows in two-dimensional laying media is studied. The definition of positive and negative flows is giving. The relations for complex potentials in media with common boundary are receiving. There are employing for founded solutions some problems.
1. Полубаринова-Кочина П. Я. Теория движения грунтовых вод. М.,1977.
2. Голубева О. В. Курс механики сплошных сред. М., 1972.
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The solution of a problem of detection of a signal at vertical sounding of an ionosphere
In the real work the solution of a problem of determination of parameters of the radio impulse reflected from an ionosphere is considered. The noise component, and also the multibeam structure of a signal arising at formation two magnetoionic component is thus considered....
The strategic potential of an organisation and the models of programming solutions in the conditions of uncertainty
This article considers the problems of studying the strategic potential of organisations in the modern conditions. The authors analyse the methods of allowing for the uncertainty factor within the programming solution development procedures.
1. Друкер П. Ф. Задачи менеджмента в XXI веке / пер. с англ. М., 2004.
2. Нельсон Р., Уинтер С. Эволюционная теория экономических ...
Nonlinear dissipative structures as model of two-dimensional optic solitons
... transformations for the Boiti — Leon — Pempinelli equations (BLP). These equations are the (1+2) generalization of the sinh-Gordon equation. In addition, the BLP equations reduced to the Burgers equation in a one-dimensional limit. Localized nonsingular solutions in both spatial dimensions and anti ”blow-up” solutions are constructed.
1. Boiti M., Leon J. J.-P., Pempinelli F. Spectral transform for a two spatial dimension extension of the dispersive long wave equation // Inverse Problems. 1987....
Cyclic version of “ – ” iterative method. Estimations of speed of algorithm convergence
Differences methods of the approximate solution of the two-dimensional equation of ions diffusion with the mixed derivatives and the first derivatives of a divergent look are considered. Test calculations on a modeling task with the known analytical decision are carried out. Operability of ...
Three-dimensional computational modelling of water cooling over the coastal slope: a comparison of hydrostatic and non-hydrostatic solutions
This article addresses the structure and dynamics of current and temperature fields in the coastal zone of a large water body generated by seasonal variations of heat-exchange conditions at the water surface. Numerical solutions of three-dimensional hydrostatic and non-hydrostatic models MIKE3-FlowModel in shallow and deep parts of the basin are compared. It is shown that the structure of fields is reproduced adequately by both models and water currents are similar; ...
Formal Languages and Automata VI:-algebraic systems and transducers
... quemirings generalizing the classical context-free grammars generating languages overnite and innite words. The presentation of these results is based on continuous starsemiring-omegasemimodule pairs. We dene !-algebraic systems and characterize their solutions
of order k by behaviors of algebraic nite automata. These solutions are then set in correspondence to !-context-free languages. Then we introduce rational and algebraic transducers, and abstract !-families of power series over quemirings and ...
Modeling of Wave Processes in High Speed Impacts with Smoothed Particle Hydrodynamics Method
Concerned issues are related to the modeling of high speed impact with different variants of the smoothed particle hydrodynamics method and applying this method to the solution of problems of mechanics of the deformed solid body.Results of solution of the problem of disintegration of discontinuity were obtained and comparative analysis was performed.
1.
Monagan J. J.
An introduction to SPH // Comput. Phys
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Comm
...
The justification of legal punishment in Kant’s philosophy
... as retributivist? While acknowledging the significance of this question the author stresses a more fundamental one lying behind it: Is a non-contradictory theory of punishment conceivable at all within Kant’s philosophy? It is demonstrated that a solution of this question largely determines a justification of the doctrine of right as such as well as a solution of the problem of relation between right and ethics in Kantian philosophy. Some recent interpretations of Kant’s theory of punishment ...
Foreign economic activity of Saint Petersburg, the Leningrad Region, and the Republic of Karelia: problems and opportunities for development
... cluster of regions formed by the city of St. Petersburg, the Leningrad region and the Republic of Karelia. All three areas face a number of challenges when it comes to international trade: challenges that are shared and that require strategic coordinated solutions from regional decisionmakers. One of such solutions, for example, could require pooling of competitive advantages of these areas. The analysis of strategic documents of regional development, however, shows that the issue of interregional cooperation ...
Theoretical aspects of the model for the formation of legal competence of a specialist in the senior crews officers in a maritime university
... knowledge of basic methods and ways of solving legal problems, the ability to apply knowledge in choosing methods for collecting, structuring, and analyzing information, mastery of techniques for composing, formatting, and monitoring the evaluation of legal solutions, as well as the ability to independently apply knowledge for collecting, structuring, and analyzing information, work in a team, demonstrate persistence in solving legal problems, and evaluate the effectiveness of the decision made. The obtained ...
Creative Potential of Artificial Intelligence in the Context of the Idea of the New Enlightenment
... opinions of researchers regarding creativity in AI. To systematise these perspectives, I propose a classification which allows their ranking. The conclusion emphasises that currently the issue of evaluating the creative potential of AI lacks a definitive solution, underscoring the relevance of further research. The future outlook may alter this situation, prompting the necessity to focus on predicting potential consequences of technological developments and developing mechanisms for controlling AI activities; ...
The Imperishable Kant: Deleuze on the Consistency of the Faculties of Reason
... Doctrine of the Faculties (1963), in which the French philosopher aims to find the potential limits of interpretation of Kant’s philosophy. Deleuze appeals to Kant’s study of faculties, in which he finds contradictions and “gaps” that find their solution in the Critique of Judgment. Deleuze refers to the free coherence of the faculties as to “something third”, which gives options for reactualising Kant’s philosophy without striving to overcome it. I also provide a brief history of the issues ...
Translation of the absurdist literature as an example of cultural transfer (“Cases” by Daniil Kharms in Korean translations)
... are culturally transferred into a foreign context, specifically in the translations of stories and "cases" by Kharms into Korean. It delves into the implementation of translation transcreativity, providing concrete examples of translation solutions in the Russian-Korean language pair. The research not only analyzes the real implementation but also explores possible avenues for transferring the aesthetics of absurd literature in contemporary translation practices.
Kharms, D., ...
Priorities for the development of manufacturing industries in the Kaliningrad region
... semi-finished products imported from unfriendly countries. The operating structure of these businesses, which explains their heavy dependence on exports and imports, calls for a thorough restructuring, as is the case with international trade ties. A viable solution is stimulating productions that rely on Russian raw materials and semi-finished products, including those from Kaliningrad, as well as on imports from friendly states. From 2017 to 2021, two sectors demonstrated outstanding results: the food ...