This paper considers the problem of finding the shortest paths between all vertices of a weighted undirected sparse graph. A “graph disassembly and reassembly” algorithm is proposed, which uses the solution of a problem on a low-dimensional graph to obtain a solution for the original graph. A comparison of the proposed algorithm with one of the fast classical algorithms on open access data is provided. The complexity of the original problem is notably reduced by the proposed algorithm such that it can be scaled to large networks. In addition to the sub-gradient Lagrangian multiplier updating strategy integrated with projection, a novel one based on the deep-cut ellipsoid method is proposed as well.
В статье проанализировано значение быстрорастущих предприятий в экономике, их роль в решении проблемы занятости. Также рассмотрена методика определения быстрорастущих предприятий. Предоставлены предложения по стимулированию развития быстрорастущих предприятий в экономике страны и их роль в решении проблемы занятости.
This article discusses the Kurdish problem, its actuality, some ethno-political aspects of the problem, the existence of different, sometimes contradictory approaches to issues related to the Kurds, as well as international legal aspects of the problem. The article focuses on the fact that the Kurdish problem is not only a regional problem in terms of ethno-politics, but also a comprehensive problem at the international level. It is revealed that the ethno-political issue related to the Kurds is being assessed on the basis of controversial and mutually exclusive approaches.
The article is devoted to considering the problem of using interactive educational technologies in the educational practice of a modern university, in particular when teaching the Russian language in non-linguistic universities. In this regard, an attempt was made to reveal and substantiate such concepts as interactive learning, interactive educational environment of a university, interactive educational environment of a specialist in various fields and others, which underlie the educational space of Russian as a foreign language. The article concludes that in the process of joint creativity, stable cognitive motivation for solving educational and research problems develops. This is only possible if the electronic resource meets the criteria for a high level of interactivity, which implies full interaction between students and teachers in the educational environment based on modeling objects and processes of the real world.
The article reports about construction of a previously unknown structure and shows the results of the study of direct representations of inverse to block-tridiagonal matrices with zero (or close to zero) leading block-angular minors.The study of the structure of the inverse matrix are related, firstly, to the solution of a system of linear algebraic equations, and secondly, to the inversion of a matrix of the indicated type. The task of inversing a block-tridiagonal type matrix arises while solving the problem of processing and analyzing experimental data of high-energy physics. At the same time, the special-type likelihood function is minimized, the parameters of which are the kinematic parameters of the secondary particles. The experimental data obtained by measurements contain errors. Therefore, stringent requirements are set to numerical methods for the stability of intermediate computer calculations.
The paper presents the statement and methods for solving dynamic problems of multiply connected structurally inhomogeneous shell structures, which make it possible to reduce the problem of calculating a wide class of engineering structures to computer-aided design tasks. On the basis of numerical experiments and multi-parameter analysis of the system as a whole, a number of fundamentally important applied problems have been solved for calculating the dynamic characteristics of oscillations (frequencies, modes, determinant resonant amplitudes and damping coefficients) of special structures depending on the parameters of structural inhomogeneity. The results obtained made it possible to identify some mechanical effects of theoretical and practical importance. The developed methods and algorithms allow, at the stage of inhomogeneous systems design, combining inhomogeneous materials and connections with various rheological properties, to establish the ranges of parameter values for numerical-experimental search of the most rational (in terms of efficiency) dissipative properties and material consumption of engineering structures. It was established that an account for nonlinear strain in the material does not strongly distort the picture of linearly viscoelastic calculation.
Разработан метод применения метода прямых путем преобразования задачи с произвольными линейными граничными условиями в задачу Дирихле. Наиболее широко применяемым методом решения задач тепломассопереноса является метод конечных разностей путем сопоставления предполагаемых значений функции в граничных узлах с вновь найденными значениями функции в соответствии с аппроксимациями границы. условиях находятся истинные значения искомых функций на границах. Затем с их помощью был реализован метод прямых, обеспечивающий аппроксимацию второго порядка уравнения и граничных условий по одной координате.
In the article, the problem of sanogenic thinking of an individual, its relevance, the problem of sanogenic thinking in the psychology of our country and abroad, views, experience, and researches of pedagogues and psychologists focused on the unique forms of sanogenic thinking, its main elements and unique methods have been discussed. According to the analysis of scientific literature and developments, the concepts of emotion, mind and sanogenic thinking in foreign theories as an independent direction of psychology, the socio-psychological aspects of the manifestation of factors affecting the development of sanogenic thinking in social activity and the analysis of the results obtained in the research process are highlighted.
The work examines the solution of problems of a biological population taking into account reaction-diffusion. This research work uses a method for analyzing the qualitative characteristics of solutions to a system of differential equations in order to solve the problem of choosing the optimal initial approximation for effective iterative convergence to the solution of the Cauchy problem. The effectiveness of this method depends on the numerical parameters and initial data of the system. Researchers use the asymptotic representation of the solution as an initial approximation, which allows them to conduct a numerical experiment and visualize the evolution of the system depending on the parameter values. The results of the study show that the proposed nonlinear mathematical model successfully reflects the process of competing biological populations with double nonlinearity. Analysis of the obtained solution estimates confirms the preservation of localization in a finite range and the size of the source in the system. Thus, this work provides a complete, comprehensive picture of the process and can be a valuable contribution to the study of two-component competing systems in biological populations.
Современное здравоохранение, в частности урология и гинекология, считает актуальным проблему недержания мочи и расстройства мочеиспускания. Синдром гиперактивного мочевого пузыря возникает независимо от условий жизни, характера труда и в любом возрасте, но большей степени им подвержены пациенты старше 50-55 лет, в частности женщины. Неуклонный рост пациентов с проблемой мочеиспускания в последние годы, доказывает актуальность данной проблемы и наводить нас на исследования данной проблемы. Имеется большое количество информации, посвященной проблеме расстройств мочеиспускания у женщин [3,5]. По данным различных авторов встречаемость данной проблемы среди женщин 15-20% и около 6% среди взрослых девочек (15-20 лет). Ведущими гинекологами мира обсуждается объем необходимых диагностических манипуляций у пациенток с недержанием мочи, нет единых алгоритмов обследования и лечения распространенности ГМП, вследствие чего мы изучили данную проблему в контингенте нашего города [1,6,7].
The problem of the fact associated with the scientific reflection of the processes that create typological relationships in modern psychological research is not high enough. In social and humanity sciences, there are procedures for simplifying this area as a logical and methodological basis for the development of typological and structural components. The article discusses the problem of personality typology in psychology and analyzes the results of the research on defining the specifics of the methodology of studying personality types based on the levels of social intelligence that ensured personality maturity. As a result of scientific research, the psycho types are divided into 4 types: imperative, declarative, explicit, and implicit, which differ from the function and level of social intelligence of a person as well as the correlational relations between indicators of social intelligence cluster of personality types have been determined.
В данной статье рассматривается реализация проблемных элементов обучения на уроках литературы. В ней рассмотрены классификация проблемных ситуаций по различным признакам, технологическая схема проблемного обучения и последовательность действий по реализации проблемной технологии. В качестве примеров реализации проблемного обучения приводятся задания на тему устного народного творчества.
In this paper we study the asymptotic behavior (for ) of solutions of the system semilinear heat conduction problem with absorption at a critical parameter. The asymptotics were established using the method of standart equations. The proofs were carried out using the method of comparison of solutions and the maximum principle. For numerical computations as an initial approximation we used founded the long time asymptotic of the solution. Numerical experiments and visualization were carried for one and two dimensional case.
Статья посвящена вопросам управления проблемными кредитами коммерческих банков. Систематизированы факторы, влияющие на возникновение проблемной задолженности. Рассмотрены теоретические основы управления проблемными активами. Приведены меры, способствующие уменьшению доли проблемных кредитов узбекских коммерческих банков на основе европейского опыта.
This article explores the intricate world of mathematical modeling, a versatile tool that serves as a bridge between theoretical concepts and real-world phenomena. The journey begins with the art of problem formulation, requiring a meticulous definition of the problem, identification of variables, and relationships. Crafting a mathematical representation follows, employing equations and algorithms to distill the essence of complex systems. Seminal works such as "A Guide to Mathematical Modelling" and "Numerical Recipes: The Art of Scientific Computing" guide this process.
The Financial literacy is a problem for population, government and for economics itself,
not only in Uzbekistan but in whole world. Essentially, it is the ability to use one’s knowledge
and skills to effectively manage financial resources, ideally for a lifetime of financial well -being. Indeed, financial literacy is something we all have to work on each day - it’s part of our
ongoing education.
В статье рассматривается понятия «проблемный кредит», причины возникновения проблемной задолженности и работа банка с проблемными кредитами, а также разработан рекомендации и предложение по снижению доли проблемных кредитов в кредитном портфеле коммерческих банков.
The concept of a system of nonlinear equations, the stages of solving the problem, the geometric interpretation of the solution of the
equation and the concept of iterative processes are given and their application is shown in the examples. The problem of numerical solution of a number of practical problems consisting of a system of nonlinear equations is considered. There are a number of approximate computational methods for solving systems of nonlinear equations, including Newton's method. Using these methods, a number of specific practical problems were solved, a computational algorithm and a block diagram were developed. An approximate method of finding the true roots of a system of nonlinear equations is given, based on examples, graphs are used in the form of results,
and appropriate conclusions are drawn
Проблемное обучение является одной из систем познания, позволяющей перевести учащихся с позиции пассивного восприятия знаний на позиции активного их усвоения и применения, сблизить процессы познания и обучения. В процессе обучения проектной деятельности учитель вводит учащихся в проблему, формулирует ее, создаст проблемные ситуации, помогает найти методы решения учебных проблем, с помощью наводящих вопросов вовлекает учащихся в диалог, раскрывает причинно-следственные связи технологических процессов и явлений, оказывает помощь в формулировании выводов и т.д. Таким образом проектное обучение можно считать проблемным.
Данная статья посвящена обсуждению задач по стимулированию интереса дошкольников к чтению книг, на основе ряда экспериментов и данных доказана роль психологии в решении этой проблемы.