scholarly journals Fractional Derivatives and Integrals: What Are They Needed For?

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 164 ◽  
Author(s):  
Vasily E. Tarasov ◽  
Svetlana S. Tarasova
Keyword(s):  
Power Law ◽  
Applied Mathematics ◽  
Mathematical Problem ◽  
Frequency Dispersion ◽  
Point Of View ◽  
Fading Memory ◽  
Fractional Operator ◽  
Distributed Lag ◽  
Pure Mathematics ◽  
New Research

The question raised in the title of the article is not philosophical. We do not expect general answers of the form “to describe the reality surrounding us”. The question should actually be formulated as a mathematical problem of applied mathematics, a task for new research. This question should be answered in mathematically rigorous statements about the interrelations between the properties of the operator’s kernels and the types of phenomena. This article is devoted to a discussion of the question of what is fractional operator from the point of view of not pure mathematics, but applied mathematics. The imposed restrictions on the kernel of the fractional operator should actually be divided by types of phenomena, in addition to the principles of self-consistency of mathematical theory. In applications of fractional calculus, we have a fundamental question about conditions of kernels of fractional operator of non-integer orders that allow us to describe a particular type of phenomenon. It is necessary to obtain exact correspondences between sets of properties of kernel and type of phenomena. In this paper, we discuss the properties of kernels of fractional operators to distinguish the following types of phenomena: fading memory (forgetting) and power-law frequency dispersion, spatial non-locality and power-law spatial dispersion, distributed lag (time delay), distributed scaling (dilation), depreciation, and aging.

Judicial geography as a legal science and academic discipline

2019 ◽  
Vol 5 (4) ◽  
pp. 122-137
Author(s):  
Almaz F. Abdulvaliev
Keyword(s):  
Criminal Law ◽  
Climatic Factors ◽  
Academic Discipline ◽  
Preliminary Investigation ◽  
Criminal Procedure ◽  
Mapping Method ◽  
Research Field ◽  
Point Of View ◽  
Theoretical Development ◽  
New Research

This article presents the conceptual foundations for the formation of a new research field “Judicial Geography”, including the prerequisites for its creation, academic, and theoretical development, both in Russia and abroad. The purpose of the study is to study the possibility of applying geographical methods and means in criminal law, criminal procedure, and in judicial activity in general via the academic direction “Judicial Geography”. The author describes in detail the main elements of judicial geography and its role and significance for such legal sciences, as criminal law, criminal procedure, criminalistics, and criminology among others. The employed research methods allow showing the main vectors of the development of judicial geography, taking into account the previous achievements of Russian and worldwide academics. The author indicates the role and place of judicial geography in the system of legal sciences. This study suggests a concept of using scientific geographical methods in the study of various legal phenomena of a criminal and criminal-procedural nature when considering the idea of building judicial bodies and judicial instances, taking into account geographical and climatic factors. In this regard, the author advises to introduce the special course “Judicial Geography”, which would allow law students to study the specifics of the activities of the judiciary and preliminary investigation authorities from a geographical point of view, as well as to use various geographical methods, including the mapping method, in educational and practical activities. The author concludes that forensic geography may become a new milestone for subsequent scientific research in geography and jurisprudence.

Vietnamese Proverbs From a Cultural Perspective

2019 ◽  
Author(s):  
Thanh Quy Ngo Thi ◽  
◽  
Hong Minh Nguyen Thi ◽  
Keyword(s):  
Cultural Values ◽  
Language Use ◽  
Interdisciplinary Approach ◽  
Research Direction ◽  
Point Of View ◽  
Traditional Values ◽  
Cultural Perspective ◽  
Language And Culture ◽  
Speakers Of Other Languages ◽  
New Research

Proverbs are important data depicting the traditional culture of each nation. Vietnamese proverbs, dated thousands of years ago, are an immense valuable treasure of experience which the Vietnamese people desire to pass to the younger generations. This paper aims to explore the unique and diversified world of intelligence and spirits of the Vietnamese through a condensed and special literary genre, as well as a traditional value of the nation (Nguyen Xuan Kinh 2013, Tran Ngoc Them 1996, Le Chi Que and Ngo Thi Thanh Quy 2014). Through an interdisciplinary approach, from an anthropological point of view, approaching proverbs we will open up a vast treasure of knowledge and culture of all Vietnamese generations. The study has examined over 16,000 Vietnamese proverbs and analysed three groups expressing Vietnamese people’s behaviors toward nature, society and their selves, and compared them with English and Japanese proverbs. The research has attempted to explore the beauty of Vietnamese language, cultural values and the souls and personalities of Vietnam. Approaching Vietnamese proverbs under the interdisciplinary perspective of language, culture and literature is a new research direction in the field of Social Sciences and Humanity in Vietnam. From these viewpoints, it is seen that proverbs have remarkably contributed to the language and culture of Vietnam as well as and constructed to the practice of language use in everyday life which is imaginary, meaningful and effective in communication. Furthermore, the study seeks to inspire the Vietnamese youth’s pride in national identity and to encourage their preservation and promotion for traditional values of the nation in the context of integration and globalisation. In the meantime, it would be favourable to introduce and market the beauty of Vietnamese language, culture and people to the world, encouraging the speakers of other languages to study, explore and understand Vietnam.

Die intrinsische Systemreaktion des tribologisch beanspruchten Schmierfettes

2021 ◽  
Author(s):  
Erik Kuhn
Keyword(s):  
Driving Forces ◽  
Observation Point ◽  
Point Of View ◽  
Experimental Results ◽  
Research Paradigm ◽  
Lubricating Grease ◽  
New Research

This article deals with the observed reactions of a lubricating grease to tribological stress. An attempt is made to find the driving forces describe that are responsible for the intrinsic response. From these considerations, a new research paradigm is derived that leaves the traditional observation point of view. The investigations are illustrated with experimental results.

scholarly journals Educational audiovisual text design: empirical evidence and new research perspectives

2021 ◽  
Vol 13 (2) ◽  
pp. 28-35
Author(s):  
Giovanni Ganino
Keyword(s):  
Point Of View ◽  
Educational Technologies ◽  
Systematic Analysis ◽  
Design Elements ◽  
Research Perspectives ◽  
Close Relationship ◽  
Massive Online Open Courses ◽  
Depth Study ◽  
New Research ◽  
Instructional Design Principles

Abstract The article presents a systematic analysis of international literature concerning the design of educational audiovisual texts at university level. The theme appears very important in light of the extensive use of these cognitive artefacts in flipped, blended,Massive Online Open Courses (MOOCs) teaching processes. This is even more important in the era of health emergency that has led to the use of audiovisual text as the main teaching medium at school and university. The aim of the work is to provide a contribution to research on educational technologies for the purpose of identifying new instructional design principles that support multimedia learning. The analysis highlighted new research directions, such as the significant role of the camera point of view in learning complex manual procedures, new design elements on the ways of representing the teacher and his/her communicative attitude, and the increasingly close relationship between educational sciences and neuroscience. The result may be useful, on the one hand, as a stimulus for an in-depth study of the new lines of research identified, by researchers on educational technologies, and on the other, for a more informed evidence-based use of audiovisual texts in teaching practices.

scholarly journals Influence of Retail Therapy upon Shoppers Experience in Organized Retailing at Select Retail Malls in Grater Hyderabad

2020 ◽  
Vol 8 (5) ◽  
pp. 3644-3649
Keyword(s):  
Dominant Role ◽  
Point Of View ◽  
Shopping Malls ◽  
Normal Functioning ◽  
Movie Theaters ◽  
Impulsive Buying ◽  
Shopping Experience ◽  
Good For ◽  
New Research ◽  
The Brain

We humans live life for attaining happiness by the way of fulfilling our needs wants & desires. We work hard to earn and satisfy all our requirements. We strive to derive a better experience upon our every shopping attempt which we make. Retail therapy in shopping is to improve the shoppers mood or disposition which is seen among people during depression or stress, in normal context it is a small duration-lived habit. Products purchased during period of retail therapy are also referred to as "comfort buys". in shopping experience, human brain apparently releases the chemical known as dopamine, a natural messenger required for the normal functioning of the brain, and it plays dominant role in our ability to experience pleasure and pain. It appears also to have a role in addictive behavior. The most important reason shopping malls are so popular is due to convenience. Which include clothing stores, a food court, movie theaters, etc Shopping might not be good for wallet, but it could be good for health, new research suggests. Walking within the mall between stores, multiplex, food court, gaming zone etc provides better enjoyment experience which ultimately results into shopper’s satisfaction. “Therapy” denotes the favorable impact of shopping experience of shoppers at shopping malls, there are indeed psychological rewards. This article discuses about retail therapy from shoppers’ experience point of view as depending upon the experience, knowledge & situation the shoppers intend to make compulsive or impulsive buying which impacts behavior of shopper & emotions which are been motivated by desire to fulfill material needs and wants.

scholarly journals Students’ Intuitive and Analytical Thinking in the Mathematics Study through the Integration of STAD and Environmental Islamic Jurisprudence (Fiqh)

2020 ◽  
Vol 11 (1) ◽  
pp. 49-60
Author(s):  
Abdillah Abdillah ◽  
Ajeng Gelora Mastuti ◽  
Muhammad Rijal ◽  
Muhajir Abd. Rahman
Keyword(s):  
Learning Process ◽  
Mathematical Problem ◽  
Three Dimensional ◽  
Point Of View ◽  
Effective Learning ◽  
Intuitive Thinking ◽  
Analytical Thinking ◽  
Research Problems ◽  
Interest And Motivation

The success of a learning process depends on the teacher’s mastery of materials, strategies, and media. Teachers need to possess high creativity to maintain their students’ interest and motivation in learning. The integration of effective learning models and appropriate media, such as using plastic waste as realia, can be one of the alternatives to improve the quality of learning. This study also aimed to examine students' awareness of environmental issues. The quantitative and qualitative data of the study were collected simultaneously to answer the research problems. Interviews were conducted during the implementation of the learning process and quizzes. A pre-experimental one-shot case study design was employed to gather the quantitative data which were then analyzed descriptively. The results of the current study showed that the students' intuitive thinking started to develop in phase 3, where they were asked to identify the type of plastic glass they were holding. Phase 4 that allowed the students to separate parts constructing the glass, determine the name of each part, and set a point of view or the purpose underlying the material presented was the phase where the students performed an analytical thinking process. In phase 5, the students were allowed to solve a mathematical problem using analytical thinking. The interaction between students' intuitive and analytical thinking shown in the identification and labeling of each type of three-dimensional form will be discussed in this article  

Is Medieval Music the New Avant-Garde? The Wilful, the Wayward and the Playful

2017 ◽  
Author(s):  
Graham Coatman
Keyword(s):  
Nineteenth Century ◽  
Case Studies ◽  
Creative Process ◽  
Point Of View ◽  
Early Music ◽  
Avant Garde ◽  
Medieval Music ◽  
Starting Point ◽  
New Research

In his masterful exposé, The Modern Invention of Medieval Music, Daniel Leech-Wilkinson deliciously debunks much traditional thinking about medieval music, arguing that changing perspectives on this increasingly re-discovered and available body of work may be more dependent on the personality of the scholars and performers involved in its dissemination than the findings of new research. In this chapter, writing from the point of view of a composer and musician equally involved in the performance of both new and early music, Graham Coatman examines the work of contemporary composers who have chosen medieval models as their starting point. Is their use of medieval material a means to establish identity and authenticity, or a reaction against the harmonic and formal legacy of the nineteenth century? How is the use of pre-existent material integrated into the contemporary creative process? With reference to selective case studies, Coatman finds parallels with their medieval counterparts that make their work all the more compelling.

Operations Planning in Carsharing Systems

2020 ◽  
pp. 384-406
Author(s):  
Behnam Izadi
Keyword(s):  
Strategic Management ◽  
Point Of View ◽  
Urban Transport ◽  
Transport Network ◽  
Environmental Benefits ◽  
Operations Planning ◽  
Management Level ◽  
Shared Mobility ◽  
Minimum Number ◽  
New Research

Shared mobility systems such as carsharing provide significant social and environmental benefits by reducing the number of vehicles used in the urban transport network. The carsharing systems are facing many challenges from the design to operation stages. In the design and strategic management level, it is important to find the best location for the stations, a minimum number of vehicles and a minimum number of operating staff, and in the operation stage, the most important problem is to relocate the vehicles moved by the members among the network to maximize the satisfied demands while the system is still economical. Effective and efficient optimization technology that can respond to user's demand is one of the necessary components for a successful carsharing system. The authors survey the related operations research models in the academic literature proposed to model different aspects of carsharing systems from a strategic and operational point of view to find the gaps and propose opportunities for new research.

Analytic program derivation in type theory

1998 ◽  
Author(s):  
Petri Mäenpää
Keyword(s):  
Mathematical Method ◽  
Problem Solving ◽  
Type Theory ◽  
Mathematical Problem ◽  
Geometric Analysis ◽  
Algebraic Method ◽  
Point Of View ◽  
Program Derivation ◽  
Mathematical Problems ◽  
The Given

This work proposes a new method of deriving programs from their specifications in constructive type theory: the method of analysis-synthesis. It is new as a mathematical method only in the area of programming methodology, as it is modelled upon the most successful and widespread method in the history of exact sciences. The method of analysis-synthesis, also known as the method of analysis, was devised by Ancient Greek mathematicians for solving geometric construction problems with ruler and compass. Its most important subsequent elaboration is Descartes’s algebraic method of analysis, which pervades all exact sciences today. The present work expands this method further into one that aims at systematizing program derivation in a heuristically useful way, analogously to the way Descartes’s method systematized the solution of geometric and arithmetical problems. To illustrate the method, we derive the Boyer-Moore algorithm for finding an element that has a majority of occurrences in a given list. It turns out that solving programming problems need not be too different from solving mathematical problems in general. This point of view has been emphasized in particular by Martin-Löf (1982) and Dijkstra (1986). The idea of a logic of problem solving originates in Kolmogorov (1932). We aim to refine the analogy between programming and mathematical problem solving by investigating the mathematical method of analysis in the context of programming. The central idea of the analytic method, in modern terms, is to analyze the functional dependencies between the constituents of a geometric configuration. The aim is to determine how the sought constituents depend on the given ones. A Greek analysis starts by drawing a diagram with the sought constructions drawn on the given ones, in the relation required by the problem specification. Then the sought constituents of the configuration are determined in terms of the given ones. Analysis was the Greeks’ method of discovering solutions to problems. Their method of justification was synthesis, which cast analysis into standard deductive form. First it constructed the sought objects from the given ones, and then demonstrated that they relate as required to the given ones. In his Geometry, Descartes developed Greek geometric analysis-synthesis into the modern algebraic method of analysis.

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