Математические модели транспортных систем в машиностроении

The modeling of Transportation Systems requires use of the powerful mathematical maintenance. Some mathematical models of Transportation Systems are considered in this article. They permit to increase the efficiency of Flexible Manufacturing Systems’ work at the expence of the rational organization and the transformation of material streams. The largest attention is devoted to the use of a Graph Theory for the route unification. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/1313

Концептуальна модель представлення об'єкту маркетингу - реклама продукції

In this work were used methods of theory of category for development of marketing objects’ conceptualization models mathematical apparatus. It was updated mathematical model that allows pass to a marketing objects’ descriptive model view in hierarchical structure of marketing control which greatly simplifies development of logical and axiomatic rules of marketing control at the enterprise. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/2862

Unifying the debates: mathematical and non-causal explanations

In the last couple of years, a few seemingly independent debates on scientific explanation have emerged, with several key questions that take different forms in different areas. For example, the question what makes an explanation distinctly mathematical and are there any non-causal explanations in sciences (i.e. explanations that don’t cite causes in the explanans) sometimes take a form of the question what makes mathematical models explanatory, especially whether highly idealized models in science can be explanatory and in virtue of what they are explanatory. These questions raise further issues about counterfactuals, modality and explanatory asymmetries, i.e. do mathematical and non-causal explanations support counterfactuals, and how to understand explanatory asymmetries in non-causal explanations. Even though these are very common issues in the philosophy of physics and mathematics, they can be found in different guises in the philosophy of biology, where there is the statistical interpretation of the Modern Synthesis theory of evolution, according to which the post-Darwinian theory of natural selection explains evolutionary change by citing statistical properties of populations and not the causes of changes. These questions also arise in the philosophy of ecology or neuroscience in regard to the nature of topological explanations. The question here is whether in network models in biology, ecology, neuroscience, and computer science the mathematical or more precisely topological properties can be explanatory of physical phenomena, or they are just different ways to represent causal structures. The aim of the special issue is to unify all these debates around several overlapping questions

Monitoring The Evolutionary Patterns of Technological Advances Based On the Dynamic Patent Lattice: A Modified Formal Concept Analysis Approach

The strategic importance of monitoring changes in technology has been highlighted for achieving and maintaining firms’ competitive positions. In this respect, among others, patent citation analysis has been the most frequently adopted tool. However, it is subject to some drawbacks that stem from only consideration of citing-cited information and time lags between citing and cited patents. In response, we propose a modified formal concept analysis (FCA) approach to developing dynamic patent lattice that can analyze the complex relations among patents and evolutionary patterns of technological advances. The FCA is a mathematical tool for grouping objects with shared properties based on the lattice theory. The distinct strength of FCA, vis-á-vis other methods, lies in structuring and displaying the relations among objects in the amount of data. The FCA is modified to take time periods into account for the purpose of technology monitoring. Specifically, patents are first collected and transformed into structured data. Next, the dynamic patent lattice is developed by executing a modified FCA algorithm based on patent context. Finally, quantitative indexes are defined and gauged to conduct a more detailed analysis and obtain richer information. The proposed dynamic patent lattice can be effectively employed to aid decision making in technology monitoring

On the Renormalization Group Explanation of Universality

It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches ought to be distinguished: while the field-theoretic approach explains universality, the real-space approach fails to provide an adequate explanation

Tracing scientific influence

Scientometrics is the field of quantitative studies of scholarly activity. It has been used for systematic studies of the fundamentals of scholarly practice as well as for evaluation purposes. Although advocated from the very beginning the use of scientometrics as an additional method for science history is still under explored. In this paper we show how a scientometric analysis can be used to shed light on the reception history of certain outstanding scholars. As a case, we look into citation patterns of a specific paper by the American sociologist Robert K. Merton.Comment: 25 pages LaTe

Необхідність і особливості застосування теорії ігор при моделюванні природно-ресурсних конфліктів

У статті доведено необхідність застосування теорії ігор, зокрема матричних ігор та ігор із природою при моделюванні природно-ресурсних конфліктів, на основі аналізу особливостей такого застосування. Узагальнені атрибути формалізації природно-ресурсних конфліктів через гру як економіко-математичний інструмент. Актуалізується питання визначення потенціалу природно-ресурсного конфлікту в контексті поєднання теорії ігор і теорії функцій. При цитуванні документа, використовуйте посилання http://essuir.sumdu.edu.ua/handle/123456789/23223В статье доказывается необходимость применения теории игр, в частности матричных игр, а также игр с природой при моделировании природно-ресурсных конфликтов, на основе анализа особенностей такого применения. Обобщены атрибуты формализации природно-ресурсных конфликтов посредством игры как экономико-математического инструмента. Актуализируется вопрос определения потенциала природно-ресурсного конфликта в контексте сочетания теории игр и теории функций. При цитировании документа, используйте ссылку http://essuir.sumdu.edu.ua/handle/123456789/23223In the article we prove the necessity of application of game theory, including matrix games and games with nature in modeling of natural resource conflicts by analyzing features such application. The attributes of formalization of natural resource conflicts through the game as an economic-mathematical tool are generalized. The issue of defining the potential of natural resource conflict in the context of a combination of game theory and function theory is updated. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/2322