scholarly journals UNSOLVED PROBLEMS

2013 ◽  
Vol 56 (1) ◽  
pp. 109-229 ◽  
Author(s):  
Oto Strauch

ABSTRACT In this paper there are given problems from the Unsolved Problems Section on the homepage of the journal Uniform Distribution Theory <http://www.boku.ac.at/MATH/udt/unsolvedproblems.pdf> It contains 38 items and 5 overviews collected by the author and by Editors of UDT. They are focused at uniform distribution theory, more accurate, distri- bution functions of sequences, logarithm of primes, Euler totient function, van der Corput sequence, ratio sequences, set of integers of positive density, exponen- tial sequences, moment problems, Benford’s law, Gauss-Kuzmin theorem, Duffin- Schaeffer conjecture, extremes fQ fQ F(x,y)dg(x,y) over copulas g(x,y), sum- -of-digits sequence, etc. Some of them inspired new research activities. The aim of this printed version is publicity.

2021 ◽  
Vol 16 (1) ◽  
pp. 93-126
Author(s):  
Ladislav Mišík ◽  
Štefan Porubský ◽  
Oto Strauch

Abstract The higher-dimensional generalization of the weighted q-adic sum-of-digits functions sq,γ (n), n =0, 1, 2,..., covers several important cases of sequences investigated in the theory of uniformly distributed sequences, e.g., d-dimensional van der Corput-Halton or d-dimensional Kronecker sequences. We prove a necessary and sufficient condition for the higher-dimensional weighted q-adic sum-of-digits functions to be uniformly distributed modulo one in terms of a trigonometric product. As applications of our condition we prove some upper estimates of the extreme discrepancies of such sequences, and that the existence of distribution function g(x)= x implies the uniform distribution modulo one of the weighted q-adic sum-of-digits function sq,γ (n), n = 0, 1, 2,... We also prove the uniform distribution modulo one of related sequences h 1 sq, γ (n)+h 2 sq,γ (n +1), where h 1 and h 2 are integers such that h 1 + h 2 ≠ 0 and that the akin two-dimensional sequence sq,γ (n), sq,γ (n +1) cannot be uniformly distributed modulo one if q ≥ 3. The properties of the two-dimensional sequence sq,γ (n),s q,γ (n +1), n =0, 1, 2,..., will be instrumental in the proofs of the final section, where we show how the growth properties of the sequence of weights influence the distribution of values of the weighted sum-of-digits function which in turn imply a new property of the van der Corput sequence.


2019 ◽  
Vol 12 (1) ◽  
pp. 7-20
Author(s):  
Péter Telek ◽  
Béla Illés ◽  
Christian Landschützer ◽  
Fabian Schenk ◽  
Flavien Massi

Nowadays, the Industry 4.0 concept affects every area of the industrial, economic, social and personal sectors. The most significant changings are the automation and the digitalization. This is also true for the material handling processes, where the handling systems use more and more automated machines; planning, operation and optimization of different logistic processes are based on many digital data collected from the material flow process. However, new methods and devices require new solutions which define new research directions. In this paper we describe the state of the art of the material handling researches and draw the role of the UMi-TWINN partner institutes in these fields. As a result of this H2020 EU project, scientific excellence of the University of Miskolc can be increased and new research activities will be started.


Author(s):  
Наталья Александровна Храмова ◽  
Надежда Георгиевна Пфаненштиль

В данной статье проанализировано основное различие понятий учебно-исследовательской и научно-исследовательской деятельности. Основной проблемой является развитие мотивации к учебной научно-исследовательской деятельности учащихся. Выявлено, что на мотивационную готовность студентов к научно-исследовательской деятельности могут оказывать влияние многие факторы, рассмотрено их воздействие. В статье приведены различные студенческие мероприятия, которые могут способствовать повышению мотивации учащихся к исследовательской деятельности. Выявлены, проанализированы научно-исследовательские умения и их компоненты (операционный, содержательный, мотивационный). Реализация в профессиональной подготовке традиционных форм обучения (лекции, лабораторные, практические, семинарские занятия, коллоквиумы, курсовые и дипломные работы, консультации, индивидуальные занятия) помогает овладению учащимися научной информацией, но не всегда способствует формированию необходимых умений и навыков. Очевидно, что внедрение новых теоретических обобщений в учебный процесс (чтение преподавателями проблемных лекций, введение новых теоретических разделов по наиболее актуальным проблемам современной науки, расширение перечня учебной литературы и интернет-источников, освоение новых методик исследования, подготовка мультимедийных презентаций) повысит интерес студентов к исследовательской деятельности. Образовательный процесс будет проходить более успешно, если в вузе сформирована эффективная образовательная и научно-исследовательская среда, направленная на развитие личности студента. This article analyzes the main difference between the concepts of educational research activity and research activity. The main problem is the development of motivation for educational research activities at students. The authors revealed that many factors can influence students’ motivation readiness for research activities; considered the impact of those factors. The article presents various student activities that can help to increase students’ motivation for research activities; identifies and analyzes the research skills and their components (operational, content, motivation). The implementation of traditional forms of education in professional training (lectures, laboratory, practical, seminars, colloquiums, term papers and theses, consultations, individual classes) helps students master scientific information, but does not always contribute to the formation of the necessary skills. It is obvious that the introduction of new theoretical generalizations in the educational process (delivering of problem lectures, introduction of new theoretical units on the most relevant problems of modern science, expanding the list of educational literature and Internet sources, development of new research methods, multimedia presentations) will increase the interest of students in research activities. The educational process will be more successful if the University has an effective educational and research environment aimed at the development of the student’s personality.


10.2196/17324 ◽  
2020 ◽  
Vol 9 (11) ◽  
pp. e17324
Author(s):  
Michael Strange ◽  
Carol Nilsson ◽  
Slobodan Zdravkovic ◽  
Elisabeth Mangrio

Background The project “Precision Health and Everyday Democracy” (PHED) is a transdisciplinary partnership that combines a diverse range of perspectives necessary for understanding the increasingly complex societal role played by modern health care and medical research. The term “precision health” is being increasingly used to express the need for greater awareness of environmental and genomic characteristics that may lead to divergent health outcomes between different groups within a population. Enhancing awareness of diversity has parallels with calls for “health democracy” and greater patient-public participation within health care and medical research. Approaching health care in this way goes beyond a narrow focus on the societal determinants of health, since it requires considering health as a deliberative space, which occurs often at the banal or everyday level. As an initial empirical focus, PHED is directed toward the health needs of marginalized migrants (including refugees and asylum seekers, as well as migrants with temporary residency, often involving a legally or economically precarious situation) as vulnerable groups that are often overlooked by health care. Developing new transdisciplinary knowledge on these groups provides the potential to enhance their wellbeing and benefit the wider society through challenging the exclusions of these groups that create pockets of extreme ill-health, which, as we see with COVID-19, should be better understood as “acts of self-harm” for the wider negative impact on humanity. Objective We aim to establish and identify precision health strategies, as well as promote equal access to quality health care, drawing upon knowledge gained from studying the health care of marginalized migrants. Methods The project is based in Sweden at Malmö and Lund Universities. At the outset, the network activities do not require ethical approval where they will not involve data collection, since the purpose of PHED is to strengthen international research contacts, establish new research within precision strategies, and construct educational research activities for junior colleagues within academia. However, whenever new research is funded and started, ethical approval for that specific data collection will be sought. Results The PHED project has been funded from January 1, 2019. Results of the transdisciplinary collaboration will be disseminated via a series of international conferences, workshops, and web-based materials. To ensure the network project advances toward applied research, a major goal of dissemination is to produce tools for applied research, including information to enhance health accessibility for vulnerable communities, such as marginalized migrant populations in Sweden. Conclusions There is a need to identify tools to enable the prevention and treatment of a wide spectrum of health-related outcomes and their link to social as well as environmental issues. There is also a need to identify and investigate barriers to precision health based on democratic principles. International Registered Report Identifier (IRRID) DERR1-10.2196/17324


2019 ◽  
Vol 14 (1) ◽  
pp. i-x
Author(s):  
Oleg Karpenkov ◽  
Radhakrishnan Nair ◽  
Jean-Louis Verger-Gaugry

AbstractThis volume contains papers originally presented or inspired by the Sixth International Conference on Uniform Distribution Theory, which was held at CIRM in Luminy, Marseilles, France, October 1–5, 2016.


Author(s):  
Minoru Asada ◽  
Oskar von Stryk

Since its inception in 1997, RoboCup has developed into a truly unique and long-standing research community advancing robotics and artificial intelligence through various challenges, benchmarks, and test fields. The main purposes of this article are to evaluate the research and development achievements so far and to identify new challenges and related new research issues. Unlike other robot competitions and research conferences, RoboCup eliminates the boundaries between pure research activities and the development of full system designs with hardware and software implementations at a site open to the public. It also creates specific scientific and technological research and development challenges to be addressed. In this article, we provide an overview of RoboCup, including its league structure and related research issues. We also review recent studies across several research categories to show how participants (called RoboCuppers) address the research and development challenges before, during, and after the annual competitions. Among the diversity of research issues, we highlight two unique aspects of the challenges: the platform design of the robots and the game evaluations. Both of these aspects contribute to solving the research and development challenges of RoboCup and verifying the results from a common perspective (i.e., a more objective view). Finally, we provide concluding remarks and discuss future research directions.


KWALON ◽  
2016 ◽  
Vol 21 (1) ◽  
Author(s):  
René van Horik

Summary Nowadays, research without a role for digital data and data analysis tools is barely possible. As a result, we see an increasing interest in research data management, as this enables the replication of research outcomes and the reuse of research data for new research activities. Data management planning outlines how to handle data, both during research and after the research is completed. Trusted data repositories are places were research data are archived and made available for the long term. This article covers the state of the art concerning data management and data repository demands with a focus on qualitative data sets.


1991 ◽  
Vol 24 (6) ◽  
pp. 193-200 ◽  
Author(s):  
Gustaf Olsson

New demands on nutrient removal in Swedish wastewater treatment plants have motivated new research and development activities. In this paper some ideas behind a new Swedish government research program are described, and an outline of current research activities and programs is made. Operational problems are emphasized, and their interdisciplinary character is recognized. Consequently a research team has been formed in Lund with active participation from applied microbiology, process technology, control engineering and working environment technology, in cooperation with the sewage works in Malmö


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