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Journal articles on the topic 'Mathematical modeling in economics'

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1

Guerrini, Luca. "Mathematical modeling in economics." Physics of Life Reviews 9, no. 4 (December 2012): 415–17. http://dx.doi.org/10.1016/j.plrev.2012.08.005.

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Makarov, Sergey I. "Mathematical modeling skills development among students of universities of economics." Samara Journal of Science 9, no. 2 (May 29, 2020): 254–57. http://dx.doi.org/10.17816/snv202307.

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This paper discusses approaches to economic and mathematical modeling skills development among students of universities of economics. The need for this competency among specialists in the digital economy is shown. The motivation of the student the future specialist in the digital economy in mastering the basic techniques of economic processes and systems modeling is outlined. The sections of the school course in mathematics are given, which are the basis for the development of these skills. Mathematical courses are examined; their study is considered to be the foundation for the development of the competence in economic processes modeling. The author describes the main types of mathematical models that are studied at the present stage at universities of economics and are widely used in the digital economy. The author also presents a classification of the models used in the educational process while studying mathematical courses. The main requirements for economic-mathematical models are discussed and substantiated. The author has listed necessary requirements for teachers of mathematical departments of universities. These requirements can help them to teach basic mathematics and its applied sections (e.g. mathematical modeling) to students successfully. The main conclusions and results of the study can be used in the practical work of teachers of mathematical departments at universities of economics when creating electronic teaching aids of economic and mathematical modeling and methods of their application in the educational process.
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3

Köhler, Angela D. A. "The Dangers of Mathematical Modeling." Mathematics Teacher 95, no. 2 (February 2002): 140–45. http://dx.doi.org/10.5951/mt.95.2.0140.

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When setting long-term goals, mathematics teachers face a constant dilemma. Most of us realize that our students will need to be mathematically literate in their future jobs, be able to see the real world through mathematical eyes, and be ready to handle the huge quantities of numbers that will be presented to them in their company's reports and in the news. During most of the school year, however, we give our students problems that are already written in mathematical language. Even the socalled real-life applications often consist of just an equation from physics, medicine, or economics that students are expected to analyze algebraically or graphically. They do not learn how the equation was originally derived, and they can often solve such problems without giving any thought to the application. To truly connect their mathematical skills with the outside world, we need to confront them with problems that have not yet been translated into the language of mathematics. We should just say “Now what?” and give them the necessary time to try out several mathematical models for the given situation.
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Трофименко, Ганна Сергіївна. "Comparison of economics and mathematical modeling of economic structures in health area." Technology audit and production reserves 4, no. 2(6) (September 18, 2012): 19–20. http://dx.doi.org/10.15587/2312-8372.2012.4708.

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5

Zinnes, Dina A. "Musings on Mathematical Modeling." Conflict Management and Peace Science 11, no. 2 (February 1991): 1–16. http://dx.doi.org/10.1177/073889429101100201.

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6

Palotás, Béla. "Mathematical Modeling on Welding Phenomena." Materials Science Forum 659 (September 2010): 435–40. http://dx.doi.org/10.4028/www.scientific.net/msf.659.435.

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The development of computer technology has been followed by welding as well, in the last 15 years. It is true for software development and it is true for hardware application. The paper gives a summary of computer technology application and mathematical modeling in welding, with a demonstration of software development and modeling activities carried out in Hungary. After some statistical data about software application in welding, this paper demonstrates the differences between handling databases, calculation software and elements of Artificial Intelligence. Some of the most important results of software development carried out at the Budapest University of Technology and Economics (BUTE) are also introduced in this paper. Mathematical modeling is a very important part of information technology development in the case of welding as well.
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7

Dow, S. "The Use of Mathematics in Economics." Voprosy Ekonomiki, no. 7 (July 20, 2006): 53–72. http://dx.doi.org/10.32609/0042-8736-2006-7-53-72.

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The article examines the history of mathematical methods in economic science and their impact on the structure and factors of development of the modern economic theory. The author considers different features of mathematical modeling in it, giving some examples and analyzing theoretical and methodological issues arising in the process of economic and mathematical research.
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Tang, Xinyun. "Exploration and Practical Research on the Integration of Modeling Thought into Economics Teaching in Colleges and Universities." Frontiers in Business, Economics and Management 2, no. 3 (December 21, 2021): 112–16. http://dx.doi.org/10.54097/fbem.v2i3.210.

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How to make students apply their theoretical knowledge to practice and complete the teaching objectives of macro and micro economics through economics teaching reform is a common concern of teachers majoring in economic management in many colleges and universities. Starting from the necessity and significance of modeling thought in economics teaching, this paper demonstrates the practical application of mathematical modeling in economics teaching, and puts forward the way of integrating modeling thought into economics teaching in Colleges and universities.
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Hodgson, G. "On the Problem of Formalism in Economics." Voprosy Ekonomiki, no. 3 (March 20, 2006): 111–24. http://dx.doi.org/10.32609/0042-8736-2006-3-111-124.

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The author analyses "critical realist" economic methodology with respect to application of mathematical modeling. He indicates strong and weak sides of critical realist argument, putting emphasis on the works by T. Lawson. An alternative view on the role of formal technique in economics is proposed, taking into account the diversity of interpretative contexts while applying mathematical models.
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Alukhanyan, Arthur, and Olga Panfilova. "Mathematical modeling in economics for selection of optimum investment solution." E3S Web of Conferences 273 (2021): 08003. http://dx.doi.org/10.1051/e3sconf/202127308003.

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This work is devoted to development of economic and mathematical models for selection of the optimum investment solution. Moreover, it states the basis for development of model examples and correction of the model considering the results obtained in the examples. In the work the problem is set for selection of the investment sources and objects, which is limited to the linear programming problem. The controlled variable and basic limitations simulating real credit and monetary relations are distinguished in the provided model. The discounted profit obtained from implementation of the optimum investment portfolio is considered as a target function. The economic and mathematical model presented in the article allows finding the optimum investment solution within the limits of the credit and monetary relations taking place both at the micro- and macroeconomic level.
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Fechete, Flavia, and Anișor Nedelcu. "Modeling the Economic Performance of Industrial Systems Using Mathematical Programming." Applied Mechanics and Materials 809-810 (November 2015): 1553–58. http://dx.doi.org/10.4028/www.scientific.net/amm.809-810.1553.

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Mathematical programming models and especially their subclass - linear programming models - plays an extremely important role, both in theory and in economic practice. Linear programming, through its results, brought a considerable contribution to improving management methods in economics and it has boosted theoretical research in modeling complex economic systems, study and interpretation of laws and economic processes. Developing and designing a model for achieving the economic performance of the industrial system allows managers making optimal decision and ensures the improvement of their activity. This paper aim is to determine an optimal manufacturing program for an industrial system, so that, by its implementation, to achieve economic performance. The manufacturing program conducted using a computer software will allow this entity to optimize their management decision process by providing information related to physical production that must be executed on each of their the products, or about the unused or overloaded capacity, in order to maximize their profits.
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Abilkayeva, Zh N., and M. B. Gabbassov. "Mathematical foundations of modeling economic indicators." Journal of Physics: Conference Series 1988, no. 1 (July 1, 2021): 012026. http://dx.doi.org/10.1088/1742-6596/1988/1/012026.

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13

Voynarenko, Mykhaylo, Viktoriya Hurochkina, Viacheslav Dzhedzhula, Iryna Yepifanova, and Olena Menchynska. "Applying Fuzzy Logic to Modeling Economic Emergence." WSEAS TRANSACTIONS ON BUSINESS AND ECONOMICS 18 (February 2, 2021): 424–33. http://dx.doi.org/10.37394/23207.2021.18.43.

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Modeling of financial, socioeconomic and integration indicators of fishing enterprises in conditions of uncertainty and constant transformation requires the development of an economic and mathematical model for studying the emergent state, which would be based on a set of main factors of influence of qualitative and quantitative characteristics of the dynamics of functioning. To create an expert modeling system for multi factorial analysis of the processes of functioning and management decisions of industrial enterprises, a mathematical apparatus based on the theory of fuzzy logic and a linguistic variable was used. This economic and mathematical method is a computer of mathematical algorithms, models and formalized methods and is based on the stagnation of expert linguistic information for predicting indicators of development or decline in order to form the basic mechanism for detecting latent properties of an emergent state. To develop an economic and mathematical model expert assessments and the results of analytical and experimental scientific studies of a qualitative and quantitative nature are used. Fuzzy logic modeling allows you to combine quantitative and qualitative factors and allows you to identify latent signals of emergent properties and determine the level of emergent state of industrial enterprises
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Voronkova, O. Y., А. M. Zadimidcenko, L. V. Goloshchapova, A. G. Polyakova, S. G. Kamolov, and E. M. Akhmetshin. "Economic and Mathematical Modeling of Regional Industrial Processes." EUROPEAN RESEARCH STUDIES JOURNAL XXI, Issue 4 (November 1, 2018): 268–79. http://dx.doi.org/10.35808/ersj/1119.

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15

Ulanchuk, V., O. Zharun, S. Sokolyuk, and O. Tupchy. "Theoretical aspect economic and mathematical model of establishing the optimal plan for the development of agricultural production in cherkasy regio." Collected Works of Uman National University of Horticulture 2, no. 97 (December 28, 2020): 35–44. http://dx.doi.org/10.31395/2415-8240-2020-97-2-35-44.

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The article deals with peculiarities of application of mathematical methods and models in management of agrarian enterprises. Mathematical modeling is found to be a universal and effective tool for studying the internal laws of certain phenomena and processes. It has been stated that since the solution of economic and mathematical models it is necessary to take into account certain system characteristics and a close connection of qualitative system parameters and how they are resolved. It is noted that a specialist who develops a particular model should have a thorough knowledge of agrarian economics and modeling theory and perfect to have mathematical tools. It is proved that the application of mathematical modeling methods economic and manufacturing processes make efficient use existing resource base in the process of achieving the agrarian strategic goals businesses and take into account significant sources of uncertainty and minimize them negative economic consequences. The arsenal of economic and mathematical methods and models has been systematized used in marketing management decisions business processes. The features by which the economic and mathematical models are classified are presented used in agricultural production. The ways of constructing the optimization models used in agriculture. The process of making managerial decisions on business processes is considered agricultural production using the optimization model fertilizer application. It is noted that, from a mathematical point of view, some economic processes in agribusinesses are the same and can be described using typical models. It is established that by means of economic-mathematical modeling it is possible to solve specific economic problems and practical problems in the field management of agricultural production and economic activity enterprises. It is concluded that the application of mathematical tools methods and models make it possible to substantiate the adoption process better management decisions when planning and finding promotion reserves efficiency of agricultural enterprises in crisis conditions and dynamic changes in the environment.
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16

ABERGEL, FRÉDÉRIC, and AYMEN JEDIDI. "A MATHEMATICAL APPROACH TO ORDER BOOK MODELING." International Journal of Theoretical and Applied Finance 16, no. 05 (July 25, 2013): 1350025. http://dx.doi.org/10.1142/s0219024913500258.

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Motivated by the desire to bridge the gap between the microscopic description of price formation (agent-based modeling) and the stochastic differential equations approach used classically to describe price evolution at macroscopic time scales, we present a mathematical study of the order book as a multidimensional continuous-time Markov chain and derive several mathematical results in the case of independent Poissonian arrival times. In particular, we show that the cancellation structure is an important factor ensuring the existence of a stationary distribution and the exponential convergence towards it. We also prove, by means of the functional central limit theorem (FCLT), that the rescaled-centered price process converges to a Brownian motion. We illustrate the analysis with numerical simulation and comparison against market data.
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17

KLEIN, EILI, RAMANAN LAXMINARAYAN, DAVID L. SMITH, and CHRISTOPHER A. GILLIGAN. "Economic incentives and mathematical models of disease." Environment and Development Economics 12, no. 5 (October 2007): 707–32. http://dx.doi.org/10.1017/s1355770x0700383x.

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The fields of epidemiological disease modeling and economics have tended to work independently of each other despite their common reliance on the language of mathematics and exploration of similar questions related to human behavior and infectious disease. This paper explores the benefits of incorporating simple economic principles of individual behavior and resource optimization into epidemiological models, reviews related research, and indicates how future cross-discipline collaborations can generate more accurate models of disease and its control to guide policy makers.
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18

Rogel-Salazar, J. "Stochastic Control and Mathematical Modeling: Applications in Economics, by H. Morimoto." Contemporary Physics 53, no. 3 (May 2012): 269–70. http://dx.doi.org/10.1080/00107514.2012.661771.

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19

O’Brien, Carl M. "Stochastic Control and Mathematical Modeling: Applications in Economics by Hiroaki Morimoto." International Statistical Review 79, no. 1 (April 2011): 143. http://dx.doi.org/10.1111/j.1751-5823.2011.00134_27.x.

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20

Kasatkina, E. V., and D. D. Vavilova. "Mathematical Model of Optimal Development Enterprise Economics." Statistics and Economics 17, no. 2 (April 22, 2020): 72–81. http://dx.doi.org/10.21686/2500-3925-2020-2-72-81.

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Purpose of the study. The production sphere of the enterprise is a dynamic system of cash, material and information flows, in the framework of which the final product is formed, distributed between investments in production capital and own consumption. The task of choosing the optimal proportions of the distribution of the final product is relevant and practically significant for corporations in developing economies. The purpose of this work is, using mathematical modeling, to identify strategy for the optimal development of commercial enterprise, based on the volume of investment in factors of production and consumption norms and the accumulation profit of the enterprise.Materials and methods. To obtain scientific results, general scientific and specific research methods were used: analysis, synthesis, comparison, system analysis, parametric analysis, economic, mathematical and statistical research methods. The theoretical basis of the study is the fundamental work and publications of Russian and foreign scientists in the field of research of optimal management of the economic system of the enterprise. The authors proposed a methodological approach that distinguishes their research from others – a mathematical model of the balanced development of the economy of an economic entity is presented, where production capital, labor resources and intellectual capital are considered as factors of socio-economic development. The information base of the study is the data of the financial and accounting statements of the Public Joint Stock Company Rosneft Oil Company for the period 2006-2018.Results. The factors of development of the enterprise economy are highlighted, among which, in addition to the traditional approach, which includes capital and labor, intellectual capital is introduced into the main production factor. As a valuation of the intellectual capital of the enterprise, the costly method is used. Based on the cycle of reproduction of the enterprise’s activity, a balance equation of the enterprise’s activity model has been formed taking into account capital investments in production factors and consumption and profit accumulation rates. The criterion functional in the optimal management problem is the discounted profit of the enterprise. As a control, a function was selected that characterizes the share of investment in fixed assets, and as a state of the system, the ratio of the value of fixed assets to intellectual capital. The mathematical model of optimal development is applied to the economic system of the enterprise of PJSC NK “Rosneft”.Conclusion. Modeling the dynamics of production capital, labor resources and intellectual capital of PJSC NK “Rosneft” and the results of solving their optimal management problem show that to keep a production enterprise on a balanced growth path, 55% of net profit will be spent on developing the intellectual capital of the enterprise, 35% of net profit – to improve the state of production capital of Rosneft. Given the optimal management in the future for 2019-2022. projected annual revenue growth rate of 19.9%, fixed assets – 16.2% and annual net profit of the company –9.7%.
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Grachev, Mikhail I., and Vyacheslav G. Burlov. "MATHEMATICAL MODELING IN SOCIAL AND ECONOMIC SYSTEMS." T-Comm 15, no. 5 (2021): 38–45. http://dx.doi.org/10.36724/2072-8735-2021-15-5-38-45.

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In the modern rapidly changing world, there are constant changes in all spheres of human activity, including in the social and economic systems, such as education, law, health care. All areas require study for improving management and decision-making mechanisms in order to increase the efficiency of their functioning and further logic of action improving the process of functioning of processes in social and economic systems. The introduction of the sites of educational organizations into educational institutions of higher education (UHE) has led to the need for the person in charge of the site (LOU) of the organization to have a mathematical model of management decisions to counter emerging threats. In this paper, we will consider the process of forming a mathematical model of an administrative decision, which is obtained on the basis of synthesis from the transition states of the system using the Kolmogorov differential equations, by further transforming them into a system of linear algebraic equations (SLAE) and solving them by the Gauss method. Mathematical modeling is based on synthesis processes using the law of preserving the integrity of the object (ZSCO) and the natural science approach (ESA). The use of the synthesis method allows you to achieve the control goal based on the required performance indicators. The proposed mathematical model helps in solving three processes aimed at monitoring the occurrence of a problem in a controlled system, the process of recognizing the problem and the process of implementing a managerial decision to eliminate the problem. The final obtained mathematical solution for modeling the situation in the social and economic system helps to establish a model of LOU behavior depending on the current situation, which will lead to saving time resources and the possibility of its redistribution for solving other problems. The resulting mathematical model can be further complicated by adding new variables and conditions for the implementation of the control process.
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Serbenyuk, Symon. "On Some Aspects of the Examination in Econometrics." Journal of Vasyl Stefanyk Precarpathian National University 8, no. 3 (November 3, 2021): 7–16. http://dx.doi.org/10.15330/jpnu.8.3.7-16.

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Teaching econometrics has been studied by a number of researchers, however, there is little information available on the quality of examination and on simplification of tests for demonstration the high-quality knowledge by students in concrete topics of econometrics or mathematical economics.One can note the following main goals of studying the basics of mathematical economics or econometrics by students: forming the notions of mathematical model and of modeling economic processes and phenomena; understanding a role of using mathematical models for economics research and obtaining scientific results; formatting skills for constructing mathematical models in economics, for solving economics problems by mathematical modeling.The main goal of this paper is to simplify test tasks, is to help to students to demonstrate the high-quality knowledge in certain areas of mathematical economics, and also is to construct a system of testing tasks, in which the emphasis was placed on the knowledge and understanding of an algorithm of solving the problem.In the present paper, to quality examine the student knowledge in the basics of mathematical economics, a certain system of tests was constructed and is considered. The main attention is also given to algorithms and techniques of solving some tasks (problems) of mathematical economics. The following topics of mathematical economics are viewed: constructing mathematical models of linear programming, the input-output model, the Monge-Kantorovich transportation problem, the simplex method of linear programming, the graphic method of linear and nonlinear programming, the method of Lagrange multipliers in mathematical optimization. Some primary basic results of studying linear programming, nonlinear programming, and the input-output model are noted.A new system of tests that satisfies the aim of this paper is modeled. The described tests require less time for solving than usual tasks. Here we do not focus on the repetition of auxiliary mathematical knowledge and arithmetic skills. These tests are simplified versions of standard tasks and help students to demonstrate knowledge in the mentioned topics of mathematical economics. The tasks are focused only on the knowledge of basic formulas, techniques, and connections between mathematical objects, economic systems, and their elements.
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�����, c., Alexander Rylov, �������, and Larisa Konnova. "Use of Project Method for Initial Training in Case-Study." Standards and Monitoring in Education 3, no. 3 (June 17, 2015): 23–27. http://dx.doi.org/10.12737/11848.

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Experts in the field of economics should satisfy special requirements in a growing economy, such as fluency in mathematical tools and mathematical modeling. It can be attained through the professionally-oriented planned purposeful education program. The ability to deal with economic problems of specific situations (cases) becomes graduates´ important quality. The authors have attempted to start teaching the solving of economic cases in the first year University of Economics as part of the basic mathematical disciplines´ course. A comparative analysis of two modern educational technologies (the project method and the method of case-study) presented in this article allowed the authors to conclude that project technology can be used for initial training for case solving. The article describes �Mathematical models in solving economic problems�, the case-project competition between first-year students of the Financial University under the Government of the Russian Federation. Themes related to mathematical analysis´ economic applications were used during the competition.
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Vladimirova, Tatyana, Aleksey Manakov, and Viktor Sokolov. "Conceptual framework of economic reliability of production processes." MATEC Web of Conferences 216 (2018): 02008. http://dx.doi.org/10.1051/matecconf/201821602008.

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The study presents the authors' approach to defining economic reliability of production processes; interpretation of the essence, content and mathematical implementation of its parameters. The methodology of study includes classical scientific methods like observation, analysis, synthesis, formalization and logic. Also, some special methods were used like knowledge base and database creation, variance analysis, economical and statistical methods of data processing, economical and mathematical modeling. The authors' approach to control of economic reliability of production processes suggests transition from classical elasticity coefficients of relations between two factors to elasticity functions, including multidimensional ones. Rigidity functions are introduced as a counter-concept of elasticity functions. As a result of the study the following notions are defined: extreme technologies, basic principle of the technology extremality; assessment of production process reliability, as well as essence, content and mathematical implementation of its parameters. The suggested method is implemented in a number of large-scale projects in various branches of Russian national economics.
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Rai, Birendra K., Chiu Ki So, and Aaron Nicholas. "A PRIMER ON MATHEMATICAL MODELLING IN ECONOMICS." Journal of Economic Surveys 26, no. 4 (December 27, 2010): 594–615. http://dx.doi.org/10.1111/j.1467-6419.2010.00655.x.

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26

Page, Scott E. "Computational and Mathematical Modeling in the Social Sciences." Public Choice 129, no. 3-4 (July 11, 2006): 511–14. http://dx.doi.org/10.1007/s11127-006-9040-1.

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27

Yushchenko, N. L. "CURRENT STATE OF DEVELOPMENT IN THE FIELD OF ECONOMIC AND MATHEMATICAL MODELING OF THERMAL POWER." SCIENTIFIC BULLETIN OF POLISSIA 2, no. 1(9) (2017): 24–31. http://dx.doi.org/10.25140/2410-9576-2017-2-1(9)-24-31.

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Drin, Bohdan, Iryna Drin, and Svitlana Drin. "THE NONLINEAR MODEL OF BEHAVIOR OF TWO COMPETITIVE FIRMS." BULLETIN OF CHERNIVTSI INSTITUTE OF TRADE AND ECONOMICS I, no. 81 (March 15, 2021): 115–28. http://dx.doi.org/10.34025/2310-8185-2021-1.81.08.

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The practical task of economics lies in applying the methods of substantiating its decisions. For economics, the main method is the modeling of economic phenomena and processes and, above all, mathematical modeling, which has been stipulated by the presence of stable MATHEMATICAL METHODS, MODELS AND INFORMATION TECHNOLOGIES IN ECONOMY Issue I (81), 2021 117 quantitative patterns and the possibility of a formalized description of many economic processes. The economic-mathematical model contains a system of equations of linear and nonlinear units that promote a mathematical description of economic processes and phenomena, consists of a set of variables and parameters and serves to study these processes and control them. Dynamic models of the economy describe it in development, as well as provide a detailed description of technological methods of production. Mathematical description of dynamic models is carried out with the use of a system of differential equations (in models with continuous time), difference equations (in models with discrete time), as well as systems of algebraic equations. It is important that the investigation of various economic issues has led to the development of the mathematical apparatus. In linear algebra, productive matrices are caused by the studies of intersectoral balance, whereas mathematical programming arose in the course of researching the optimal plan for the distribution of limited resources. In a similar way, there emerged the theory of economic indices and econometrics, the theory of production functions and the theory of consumption, the theory of general economic balance and social welfare, the theory of optimal economic growth. The paper under studies deals with the dynamic economic behavior of two competing objects, whose mathematical model is a nonlinear nonlocal problem for a system of ordinary differential equations with variable coefficients and argument deviation. The dynamic mathematical model is based on the assumption that the volume of output of both firms is determined by such factors on which output depends linearly. The model under discussion includes nonlinear factors, which describe the level of distrust of the competitors and depend on the time of observations and production volumes in previous moments, because the latter significantly affect the production activities of the firm. Such mathematical models are called time-delayed models.
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Ashimov, Abdykappar, Yuriy Borovskiy, and Mukhit Onalbekov. "Mathematical Modeling of Optimal Measures to Counter Economic Sanctions." SPIIRAS Proceedings 19, no. 3 (June 1, 2020): 515–38. http://dx.doi.org/10.15622/sp.2020.19.3.2.

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The paper considers the problems of developing recommendations in the area of fiscal and trade policies to counter economic sanctions at the level of both individual countries subject to such sanctions and at the level of economic union including such countries. Research study has been carried out based on the developed dynamic multi-sectoral and multi-country computable general equilibrium model, which describes the functioning of the economies of nine regions of the planet, including five countries of the Eurasian Economic Union (EAEU). The initial data of the model contain built sets of consistent social account matrices (SAMs) for the historical and forecast periods based on data from the Global Trade Analysis Project (GTAP) database, national input-output tables, international trade and IMF data (including forecast) for the main macroeconomic regions indicators. Results of the impact on macroeconomic and sectoral indicators of the EAEU countries and other regions of a hypothetical scenario providing the imposition of additional economic sanctions since 2019 against Russia from some regions were obtained. An approach to solving problems to counter the sanctions policy based on the parametric control theory by setting and solving a number of dynamic optimization problems to determine optimal values of the corresponding fiscal and trade policy instruments at the level of individual EAEU countries and the EAEU as a whole was proposed. The results of the model-based calculations were tested for the possibility of practical application using three approaches, including evaluation mappings’ stability of the exogenous parameters’ values of a calibrated model to the values of its endogenous variables. The results demonstrate greater efficiency for each EAEU country using a coordinated economic policy to counter sanctions, compared with the implementation of such policy separately at the level of each country.
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Danilin, Vyacheslav, Andrey Pleshchynski, Alexander Stavchikov, and Dmitry Zhdanov. "Economic-Mathematical Modeling in the Enterprise Management System." Экономика и математические методы, no. 3 (2018): 122–31. http://dx.doi.org/10.31857/s042473880000666-1.

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Mamonov, K., V. Velychko, and E. Grytskov. "Economic and mathematical modeling of construction companies development." Galic'kij ekonomičnij visnik 65, no. 4 (2020): 209–16. http://dx.doi.org/10.33108/galicianvisnyk_tntu2020.04.209.

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NOVYTSKA, Lyudmyla. "MATHEMATICAL MODELING IN THE SYSTEM OF ECONOMIC EDUCATION." "EСONOMY. FINANСES. MANAGEMENT: Topical issues of science and practical activity", no. 5 (45) (May 2019): 94–99. http://dx.doi.org/10.37128/2411-4413-2019-5-10.

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An important component of the training of future economists is to increase their level of mathematical education. This involves understanding the essence of the basic concepts, ideas and methods that are studied in the course of higher mathematics, their interpretation in methods to solve professionally-oriented tasks. The article describes the role of higher mathematics as an important tool for effective work of an economist. The article considers the necessity of teaching students of economic specialties of higher educational establishments to mathematical modeling as a means of professional-oriented teaching of higher mathematics. The expediency of using applied problems, which demonstrate the necessity of introducing basic mathematical concepts, raises motivation and stimulates the study of discipline, promotes development of research skills of future specialists.
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BOHDAN, Ivan, Tetiana YARA, and Dmytro KONOVALENKO. "Economic and mathematical modeling of Ukraine’s public finances." Fìnansi Ukraïni 2018, no. 7 (July 25, 2018): 27–49. http://dx.doi.org/10.33763/finukr2018.07.027.

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34

Zuzana CZ, Chvatalova, and Hrebicek Jiri CZ. "Scientific Computing and Visualization with Maple in Economics and Economic Research." International Journal of Economics and Statistics 10 (March 15, 2022): 73–79. http://dx.doi.org/10.46300/9103.2022.10.12.

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The aim of this paper is to map selected tools offered by Maple and user support provided by Maplesoft Inc. for professional and modern implementation in the field of scientific computing, modeling and visualizations in economics. Such support will be a significant technical advantage in time for use in economic research. The paper analyzes the latest version of the mathematical software Maple for scientific computing in economics and finance. It terms of its implementation in the quantitative modeling, calculations and graphics visualizations, both the direct using of built-in elements and the communication platform supported by the Canadian company Maplesoft Inc. that has developed Maple since 1980. Solutions of economic problems are intimately linked in the number of areas of society. At present, continuous innovations and using of new information technologies is trend in science, education and researches that occurs all over the world. Our efforts in this analysis are one of the preparatory stages to meet the primary objective of the solution of the project ""Construction of a complex multi-methods evaluation of performance in selected sectors"" (Reg. No. P403/11/2085) realized at the Brno University of Technology and the Mendel University in Brno.
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35

Foley, D. "Mathematical Formalism and Political-Economic Content." Voprosy Ekonomiki, no. 7 (July 20, 2012): 82–95. http://dx.doi.org/10.32609/0042-8736-2012-7-82-95.

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Mathematical methods are only one moment in a layered process of theory generation in political economy, which starts from Schumpeterian vision, progresses to the identification of relevant abstractions, the development of mathematical and quantitative models, and the confrontation of theories with empirical data through statistical methods. But today the relevant abstract problems of political economy are modified to fit available mathematical tools. The role of empirical research in disciplining theoretical speculation, on which the scientific traditions integrity rests, was undermined by specific limitations of nascent econometric methods, and usurped by ex cathedra methodological fiats of theorists. These developmentssystematically favored certain ideological predispositions of economicsas a discipline. There is abundant room for New Thinking in political economy starting from the vision of the capitalist economy as a complex, adaptive system far from equilibrium, including the development of the theory of statistical fluctuations for economic interactions, redirection of macroeconomics and financial economics from path prediction toward an understanding of the qualitative properties of the system, introduction of constructive and computable methods into economic modeling, and the critical reconstruction of econometric statistical methods.
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36

Olubode-Awosola, O. O., H. D. van Schalkwyk, and A. Jooste. "Mathematical modeling of the South African land redistribution for development policy." Journal of Policy Modeling 30, no. 5 (September 2008): 841–55. http://dx.doi.org/10.1016/j.jpolmod.2008.02.001.

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37

Figovsky, Oleg L., and Oleg G. Pensky. "Robots, Digital Twins of People, Dialectical Models of Society and Economics." Economic Strategies 144 (September 20, 2020): 58–67. http://dx.doi.org/10.33917/es-5.171.2020.58-67.

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Current mathematical models of economics practically do not take into account the human factor when making management decisions and applying them to practice. Therefore, the creation of a mathematical theory of general human psychology, the dialectical development of human society and macroeconomics are becoming particularly relevant at present. This paper describes the main results of the mathematical modeling of psychological behavior, so-called digital twins, which are psychological analogs of people. Theorems explaining the dangers of artificial intelligence for people from the mentality point of view are formulated. We propose general models of dialectical development of the virtual world for digital twins, human society and macroeconomics.
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38

Vivchar, Oksana. "SPECIFIC FEATURES OF ECONOMIC SECURITY ASSESSMENT OF ENTERPRISES UNDER CURRENT CONDITIONS OF BUSINESS MACROTRENDS: A REGIONAL APPROACH." Regional’ni aspekti rozvitku produktivnih sil Ukraїni, no. 24 (2019): 15–23. http://dx.doi.org/10.35774/rarrpsu2019.24.015.

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Goal. The goal of the article is to substantiate the theoretical and applied aspects of economic security complex assessment on the example of regional business structures with the use of the apparatus of mathematical modeling in Economics in modern conditions of business macro trends. The assessment of the state of economic security of enterprises is carried out through a system of criteria and indicators. The criterion of enterprises economic security is a measure of the state of the entity in terms of compliance with the established indicators of its activity with pre-established indicators reflecting the essence of economic security. On the basis of this goal, the question arises of solving such problems as: the possibility of developing a unified conceptual approach and tools for assessing the impact of indicators on the of regional business structures’s economic security; developing measures to improve the economic component of regional business structures. Research methods. Structural methods, comparative analysis of empirical data, abstract-logical generalization and mathematical modeling in Economics were applied to solve this scientific problem. Results. In the work on the basis of the methodological approach the model of assessment formation of the enterprise’s economic security has been grounded on the basis of impact of economic security indicators by means of logit and probit-functions. The model does not take into account group effects, that is, there is no analysis of fixed effects. In order to avoid cross-effects, when not only the variable itself influences the likelihood of a crisis, but the public crisis begins to affect the behavior of the variable, two groups of models are built: for the first group of regressions from the sample, all observations after the first year of crises are excluded; for the second group of regressions all data were used except for the crisis years after the first year of the crisis. Conclusions. The fundamental provisions of the scientific investigation will enable domestic regional enterprises to apply the algorithm of forming the economic security assessment of the enterprise using the apparatus of mathematical modeling in Economics.
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39

Delgado, A. M., and J. Nieto. "About the mathematical modeling of the interaction between human behaviors and socio-economics." Physics of Life Reviews 22-23 (December 2017): 48–49. http://dx.doi.org/10.1016/j.plrev.2017.07.007.

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40

Penkovskii, Andrey, and Valery Stennikov. "MATHEMATICAL MODELING AND OPTIMIZATION OF THE MONOPOLY HEATING MARKET." International Journal of Energy Economics and Policy 10, no. 4 (May 15, 2020): 342–51. http://dx.doi.org/10.32479/ijeep.9284.

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41

Choudhury, Masudul Alam, and M. Ishaq Bhatti. "Quantitative modeling of mathematical relationships in money, spending and the real economy." Kybernetes 45, no. 2 (February 1, 2016): 323–36. http://dx.doi.org/10.1108/k-03-2015-0068.

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Purpose – The purpose of this paper is to bring out the topic of ethics and economics in reference to the nature of complementarities that can exist between monetary and fiscal activities. The connector in such complementarities is the unity of knowledge that can be generated in the inter-causal relations between monetary and fiscal activities. Design/methodology/approach – The methodology adopted is of measuring out by quantitative modeling how well there exists complementary relations or otherwise between the Central Bank and commercial bank in order to mathematically explain the role of participatory learning behavior using money, debt, and spending variables. Findings – The argument placed takes the conceptual form of result to show that there would be a prolonged extension of the non-inflationary and technological induction of economic growth in a regime of complementing money and fiscal policies. Originality/value – The role of the quantity of money in a non-inflationary economic growth is set against the background of the tripartite inter-causal relationships between the Central Bank, the commercial bank, and the real economy. Analytical methods used bring out the role of knowledge in the inter-causal relations termed as circular causation for the attainment of social well-being in response to a stable and advancing economy with the ethicality of unity of knowledge.
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42

Kusharov, Z. K., T. T. Turgunov, and A. M. Turgunov. "OPTIMIZATION OF HERD MOVEMENT AND COMPOSITION IN LIVESTOCK THROUGH ECONOMIC-MATHEMATICAL METHODS." Advances in Mathematics: Scientific Journal 10, no. 4 (April 30, 2021): 2235–44. http://dx.doi.org/10.37418/amsj.10.4.37.

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The article deals with the issues of increasing meat and milk production in livestock as a result of economic-mathematical modeling and optimization of mathematical methods to determine the movement and composition of cattle on farms specializing in animal husbandry. In addition, a numerical economic-mathematical model of the problem was developed on the basis of the initial data of a specific diversified farm, solved on a computer using a standard program using a mathematical method, and as a result of solving the problem of optimizing the movement and composition of livestock for each age group. or sold, transferred from one group to another, the number of head of cattle at the end of the year, as well as the indicators of maximum milk and meat production were determined and thoroughly analyzed in economics.
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43

BEIKIRCH, MAXIMILIAN, SIMON CRAMER, MARTIN FRANK, PHILIPP OTTE, EMMA PABICH, and TORSTEN TRIMBORN. "ROBUST MATHEMATICAL FORMULATION AND PROBABILISTIC DESCRIPTION OF AGENT-BASED COMPUTATIONAL ECONOMIC MARKET MODELS." Advances in Complex Systems 23, no. 06 (September 2020): 2050017. http://dx.doi.org/10.1142/s0219525920500174.

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In science and especially in economics, agent-based modeling has become a widely used modeling approach. These models are often formulated as a large system of difference equations. In this study, we discuss two aspects, numerical modeling and the probabilistic description for two agent-based computational economic market models: the Levy–Levy–Solomon model and the Franke–Westerhoff model. We derive time-continuous formulations of both models, and in particular, we discuss the impact of the time-scaling on the model behavior for the Levy–Levy–Solomon model. For the Franke–Westerhoff model, we proof that a constraint required in the original model is not necessary for stability of the time-continuous model. It is shown that a semi-implicit discretization of the time-continuous system preserves this unconditional stability. In addition, this semi-implicit discretization can be computed at cost comparable to the original model. Furthermore, we discuss possible probabilistic descriptions of time-continuous agent-based computational economic market models. Especially, we present the potential advantages of kinetic theory in order to derive mesoscopic descriptions of agent-based models. Exemplified, we show two probabilistic descriptions of the Levy–Levy–Solomon and Franke–Westerhoff model.
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44

Seenivasan, Dr R. "Application of Object-Oriented Mathematical Modeling and Computer Algebra in Mathematical Economic Analysis." Scholars Bulletin 06, no. 04 (April 30, 2020): 98–104. http://dx.doi.org/10.36348/sb.2020.v06i04.003.

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45

Grechyshkin, Yurii. "MATHEMATICAL MODELING OF THE DEVELOPMENT OF THE POTENTIAL OF INTEGRATED BUSINESS STRUCTURES." Management 33, no. 1 (August 27, 2021): 141–48. http://dx.doi.org/10.30857/2415-3206.2021.1.14.

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The article presents the results of research in the field of modeling the development of the potential of integrated integrated business structures. It is substantiated that in the conditions of transformation of the economic system of Ukraine, economic systems, being by their nature complex, dynamic and probabilistic, are characterized by uncertainty of structure, condition and development. Market transformations of the economy of Ukraine, which are characterized by changes in property relations, the creation of capital of business structures, generate an increase in the probability of merging business entities to form integrated business structures. All this raises new priorities for finding new management methods and principles, modeling to develop the potential of integrated integrated business structures.The hypothesis of the scientific research is to study the mathematical modeling of the process of developing the potential of joint business entities for the formation of integrated business structures in the transformation of the economic system of Ukraine.The aim of the research is to substantiate at the theoretical level the use of mathematical modeling for the formation of integrated business structures and their combined potentials.The methodology of scientific research is the following used research methods: within the existing integrated business structures, general scientific methods, such as the method of scientific abstraction, method of analysis and synthesis, the method of unity of historical and logical, positive and normative methods, as well as specific research methods mathematical modeling, which served as the basis for the study.Conclusions. The process of potential development of integrated business structures is substantiated and mathematically modeled. It is determined that both in the world economy as a whole and in the economies of the leading countries of the world the main role is played not by individual business entities but by integrated integrated business structures. Currently, the so-called "era of integrated business structures" prevails, which combines the potential of different forms, and due to their integrative combination, a competitive economic system is formed.
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46

Lebedeva, V. K., L. N. Savchuk, A. K. Kovalchuk, and R. V. Savchuk. "Economic and mathematical modeling of the sustainable economic development processes." Economic Bulletin of Dnipro University of Technology 71 (2020): 126–33. http://dx.doi.org/10.33271/ebdut/71.126.

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47

Kostyrin, Evgeniy V. "Economic and Mathematical Modeling of Financial Resource Management in Medical Organizations." Industrial Engineering & Management Systems 19, no. 3 (September 30, 2020): 716–29. http://dx.doi.org/10.7232/iems.2020.19.3.716.

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48

Lunyk, T., and I. Cherevko. "DELAY MODELING OF MATHEMATICAL MODELS OF BIOLOGY AND IMMUNOLOGY." Bukovinian Mathematical Journal 9, no. 2 (2021): 92–98. http://dx.doi.org/10.31861/bmj2021.02.07.

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Systems of differential-difference equations are mathematical models of many applied problems of biology, ecology, medicine, economics. The variety of mathematical models of real dynamic processes is due to the fact that their evolution does not occur instantaneously, but with some delays that have different biological interpretations. The introduction of delay allows you to build adequate mathematical models and describe new effects and phenomena in physics, ecology, immunology and other sciences. The exact solution of differential-difference equations can be found only in the simplest cases, so algorithms for finding approximate solutions of such equations are important. In this paper, a family of difference schemes is constructed for the approximate finding of solutions to initial problems with delay. Special cases are generalized Euler difference schemes. The conditions for the convergence of the generalized explicit Euler difference scheme are established. To automate the numerical simulation of systems with delays, an application program has been developed, which is used to approximate the solutions of SIR models with two delays.
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49

LEVCHUK, Olena. "MATHCAD MATHEMATIC MODELING AS A MEANS OF FORMING THE PROFESSIONAL COMPETENCE OF FUTURE ECONOMISTS." "EСONOMY. FINANСES. MANAGEMENT: Topical issues of science and practical activity", no. 5 (45) (May 2019): 73–83. http://dx.doi.org/10.37128/2411-4413-2019-5-8.

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In the context of globalization processes, the professional activity of future economists is characterized by dynamism, complexity and uncertainty of conditions. Informatization and fundamentalization of knowledge provide relevance to such components of professional competence of the future economist as the ability to think analytically, solve predictive tasks using software products, implement economic and mathematical modeling using modern information systems, apply computer data processing technologies to solve economic problems. This provides the importance of mathematical training, as one of the fundamental, which primarily forms the skills of abstract thinking, analysis and synthesis. Thus, a new function of an educational institution arises in the process of providing educational services - the formation of a competence model of professional education of specialists. The article substantiates the expediency of introducing mathematical modeling based on Mathcad in the process of forming professional competence of future economists. The essence of the concepts of "professional competence" and "mathematical competence" of future economists are considered. It is argued that mathematical training is an important component of professional competence. Today, it is the results of mathematical modeling of real processes that generate the most progressive directions of development in science and technology. Therefore, the concept of an economic-mathematical model plays a fundamental role in the training of economists. The formation of professional competence of future economists, anticipating the integration of professional and personal development, should be carried out using mathematical modeling, starting with junior courses. However, despite the fact that the mathematical model of the process or phenomenon being studied in economics is always its generalized abstract reflection, the mathematical apparatus used is usually quite cumbersome. This is a significant obstacle in strengthening the applied orientation of mathematics in the first years. In our opinion, one of the effective ways to eliminate certain contradictions is the introduction of information technologies The purpose of this publication is to substantiate the feasibility of introducing mathematical modeling based on Mathcad in the process of forming professional competence of future economists, to determine the main didactic requirements and explore the impact of technology on the main components of mathematical training: motivational-value, cognitive, operational-activity, communicative. On the basis of what was studied, we concluded that for a specific specialty it is worth highlighting professionally significant topics, questions, concepts of classical sections of mathematics, which have their application in professionally-oriented disciplines. The introduction from the first course of professional-oriented tasks related to the specialty, even at the level of the simplest models, allows you to implement the principle of continuity in learning. Since the new content of mathematical disciplines becomes a reliable base for the study of professionally-oriented, within which more complex models are studied, with the help of which the key problems of the future profession are solved In the process of mathematical training of specialists, we used the universal integrated system Mathcad, which allows you to simply and visually enter the original data, carry out the traditional mathematical description of solutions and get the results of calculations using graphical interpretation. This made it possible to consider the simplest mathematical models and, using a complex mathematical apparatus, to develop universal models and algorithms. The main mathematical models of economic systems that are appropriate to consider in mathematical courses are highlighted. Examples of mathematical modeling based on Mathcad are given. The advantages of introducing mathematical modeling into the process of professional training are demonstrated. On the basis of the study, conclusions were drawn that mathematical modeling based on Mathcad allows to improve the main components of the process of mathematical preparation: - motivational and value (the formation of a sustained interest in the mastery of mathematical knowledge and information technology with a view to their application in professional and research activities); - cognitive (obtaining fundamental knowledge from the classical sections of mathematics and the ability to apply them in the process of mathematical modeling) - operational-activity (self-realization in professional activity by means of mathematical modeling based on the integration of knowledge across professional-oriented and mathematical disciplines using information technologies); - communicative (possession of ways of presenting the results of its activity-communicative (possession of ways of presenting the results of its activities). The study showed that the introduction of mathematical modeling should provide the following didactic requirements: - a fairly correct idea of ​​the teacher about the holistic picture of the future educational and professional activities of the student; - definition of goals and purpose of the introduced new content in the content of mathematical disciplines; - Compliance of the learning task with the ideas of the personal approach (updating the personal functions of specialists, consistency with the problems of practical training in production); - approbation of the skills and skills produced in practice. This allows you to organize student-centric education.
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Blakyta, H., O. Bogma, O. Bolduieva, V. Lukyanov, and I. Shtuler. "Modeling enterprises’ economic security in crisis conditions." Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 4 (2021): 116–21. http://dx.doi.org/10.33271/nvngu/2021-4/116.

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Purpose. To create a mathematical model for assessing, analyzing and forecasting the economic security of the enterprise in a crisis. To create an algorithm for assessing the levels of economic security. Methodology. In the scientific research, the results of which are given in the presented article, general and special methods of cognition were used. The method of logical generalization is used to substantiate the relevance of the topic, purpose and objectives of the study, to determine the essential features of indicators of economic security of the enterprise. The method of comparative analysis, quantitative and qualitative comparison is used to identify an integrated indicator that correlates with the characteristics of economic security and to provide analytical and predictive results of profitability of all activities of the enterprises of the industry and on its separate branches. The method of mathematical formalization is used for the formation of a mathematical model and algorithm for assessing the level of threat to the economic security of the enterprise. Findings. It is proposed to create a mathematical model by integrating individual blocks that use different mathematical approaches. This model is designed for analytical study on various aspects of economic security of the enterprise. Algorithms are proposed for estimating the levels of economic security (critical, dangerous, unsatisfactory, satisfactory, optimal ones) and also determining them using an integrated indicator that characterizes these levels; finding its deterministic, probabilistic and fuzzy components; a step-by-step increase in the relevance of the analysis of the level of economic security. It is also proposed to compare the effects of the crisis on enterprises in different industries and to gradually calculate integrated indicators in the areas of economic security for a homogeneous group of enterprises selected by industry, size and region. This provides an opportunity to see more broadly the threats and depth of the crisis and to implement measures to neutralize its consequences more effectively. Originality. The mathematical model for assessing and forecasting the economic security of enterprises in crisis conditions has been created. It is proposed to conduct a permanent rapid analysis and forecast of the impact of the crisis on the economic security of the enterprise using a standardized integrated index of economic security. An algorithm of step-by-step increase in relevance of the analysis of the level of economic security is introduced. Practical value. The developed mathematical apparatus can be used both for scientific research on various aspects of economic security of enterprises, and for practical purposes to predict the impact of the consequences of the economic crisis and implement measures to prevent them. Using this mathematical apparatus, the analysis and forecast of profitability of industrial enterprises as a whole and by its individual branches were carried out. The results of this analysis can be used by the management of small, medium and large enterprises to develop production plans in a crisis.
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