Elementárna teória čísel 1. časť

Jana Šandrejová - Andrea Gajdošová (eds.)

The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2024“ is a summary of the contributions of conference participants, which contain the original results of their scientific and research activities. The contributions published in this volume are divided according to content into the fields of analytical, inorganic, organic, physical chemistry, biochemistry and didactics of chemistry.

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Erik Bruoth - Juraj Šebej - Ľubomír Antoni

In these university-level textbooks, we present the fundamental concepts of networks and graph theory. We explore breadth-first and depth-first graph searching. We present static and dynamic network models. We describe the issue of detecting overlapping and non-overlapping communities in directed and undirected networks. Various approaches to anomaly detection in networks also form an important part of this textbook. The final chapter is dedicated to spectral clustering, which plays a significant role in data mining in network graphs for various application domains.

These textbooks are suitable for first and second-year university students in computer science programs. The study materials are also suitable for students in non-computer science fields, with the aim of improving their knowledge and practical experience in computer science-related areas, and provide an opportunity for students to find employment in IT companies to solve practical tasks.

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Zuzana Kudličková(ed.)

Zborník abstraktov z vedeckej konferencie s medzinárodnou účasťou organizovanej ku 50. výročiu založenia Katedry organickej chémie PF UPJŠ v Košiciach, konanej v dňoch 08-10.06.2016 v Košiciach.

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Norbert Kopčo

Neuroscience is an interdisciplinary field of science at the interface of biological, psychological and computer sciences, which aims to describe the functioning of the brain and mind. Computational and cognitive neuroscience are subfields of neuroscience focused on the study of information processing in the human and animal nervous systems, and on the theoretical description of the brain and mind. This university textbook contains several assignments that provide an overview of the methods used in computational and cognitive neuroscience, with an emphasis on mathematical modeling and on the behavioral study of cognitive processes. The textbook builds on the author's previous works.

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Zuzana Orságová Králová (ed.)

The scientific book of abstracts is a summary of the contributions of teachers, scientists and other conference participants, which contain the original results of their scientific and research activities. Their work will be the subject of the next domestic conference „New Trends in Chemistry, Research and Education at Faculty of Science of P. J. Šafárik University in Košice 2020“. The conference is a space for dialogue between scientific academics on the one hand and professional staff and students on the other.

The contributions published in this volume can be divided according to content into the field of analytical, inorganic, physical, organic chemistry, biochemistry and didactics of chemistry. All contributions are interesting and can be used in further creative scientific and research work, in the process of education and in practical work.

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 Mária Kožurková - Martin Putala 

Cieľom tejto knihy je spracovať názvoslovné zásady a pravidlá, podľa ktorých sa tvoria slovenské názvy biochemických zlúčenín. Táto monografia je po dlhšom čase prvým pokusom o spracovanie tohto problému, a preto dúfame, že bude pomôckou a prínosom nielen pre študentov a učiteľov ale aj vedeckých pracovníkov. Poslúži aj študentom stredných škôl, ktorí majú záujem o biochémiu a molekulovú biológiu. Kniha obsahuje najnovšie názvoslovie, zásady a pravidlá pri tvorbe názvov biochemických zlúčenín. Kniha plne aplikuje odporúčania spoločnej komisie Medzinárodnej únie pre teoretickú a aplikovanú chémiu (IUPAC) a Medzinárodnej únie pre biochémiu a molekulárnu biológiu (IUBMB) so zahrnutím aktuálnych úprav názvoslovia, stereochémie a grafického znázornenia štruktúr podľa IUPAC. 

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Peter Fedoročko (eds.)

From June 14 to June 17, 2022, the 8th annual Spring School for Doctoral Students at Pavol Jozef Šafárik University in Košice will take place in Liptovský Ján. The scientific program of the spring school will comprise 3 plenary lectures by leading scientific experts and 1 workshop. Doctoral students will present their research papers in two sections: 22 doctoral students of Faculty of Public Administration, Faculty of Law and Faculty of Arts, and 26 doctoral students of Faculty of Medicine and Faculty of Science. The scientific programme of the spring school will also include a panel discussion with the management of Pavol Jozef Šafárik University in Košice.

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Michal Jaščur

This is a supporting text for the undergraduate students interested in quan- tum theory of magnetism. The text represents an introduction to various theoretical approaches used in this eld. It is an open material, in the sense that it will be supported by appropriate problems to be solved by student at seminars and also as a homework.

The text consists of four chapters that form closed themes of the in- troductory quantum theory of magnetism. In the rst part we explain the quantum origin of the magnetism illustrating the appearance of the ex- change interaction for the case of hydrogen molecule. The second chapter is devoted to the application of the Bogolyubov inequality to the Heisenberg model and it represents the part which is usually missing in the textbooks of magnetism. The third chapter deals with the standard spin wave-theory including the Bloch and Holstein-Primakoff a approach. Finally, we discuss the application of the Jordan-Wigner transformation to one-dimensional spin-1/2 XY model.

The primary ambition of this supportive text is to explain diverse math- ematical methods and their applications in the quantum theory of mag- netism. The text is written in the form which should be sufficient to de- velop the skills of the students up to the very high level. In fact, it is expected that students following this course will able to make their own original applications of the methods presented in this book.

The reading and understanding this text requires relevant knowledges from the mathematics, quantum and statistical mechanics, and also from the theory of phase transitions. It is also expected that students are familiar with computational physics, programming and numerical mathematics that are necessary to solve the problems that will be included in the MOODLE educational environment of the P.J. Safarik University in Kosice.

Finally one should note that the text is mathematically and physically rather advanced and its understanding assumes supplementary study of the books listed in the list of references.

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Stela Csachová, Ján Kaňuk - Alena Gessert, Ladislav Novotný, Štefan Gábor,Jozef Šupinský

This book addressed the inquiry-based learning and teaching with the support of geospatial technologies. Today, geospatial technologies are influencing geography teaching learning, particularly in secondary education. Theoretical framework gives the reader the insight to inquiry-based learning, with special focus on inquiry in geography. The one-by-one step of inquiry is analysed in detail. The major part of the book presents the eleven models of geography lessons, representing the subject content of physical, human and regional geographies, various levels of inquiry and use of different geospatial technologies. The readers are acquainted with the use of geographic information system (particularly Google Earth and ArcGIS online), web portals, webGIS, open data, mobile applications and new forms of 3D cartographic visualisation (virtual reality, 3D print, dynamic 3D map) in teaching geography. The lesson models were tested with the students to be geography teachers in school year 2021/2022. This books serves as resource mainly for undergraduate teacher students and in-service geography teachers.

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Igor Hudec - Ľubomír Kováč 

The study course provides the basic knowledge on the fundamental parameters, relationships and processes in ecological sciences. Brief content: ecological factors and relations to environment (air, water, soil); influence of ecological factors upon organisms (morphological adaptations, behavioural responses); populations and communities (external and internal parameters of populations, population dynamics); ecosystems (impact assessment) and biomes (basic features and human impact); cycles (hydrologic, gaseous, sedimentation) of basic elements on Earth.  

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Nataša Tomášková

Selected tasks and problems from biochemistry – metabolism follow biochemistry lectures on metabolism and individual metabolic pathways for students of the second and third year of the bachelor’s degree in the fields of chemistry, biology and their combinations with other fields. Scripts provide an opportunity to better understand the lectured subject matter of metabolism through the solution of tasks and problems as serve as a basis for one-hour exercises. The scripts are divided thematically into eleven chapters, and each chapter contains 10 tasks and 7 problems. At the beginning of the chapters there is a short description and explanation of the given metabolic pathway. However, when solving the tasks, the student must focus mainly on the curriculum that was presented on the given topic in the lecture. Subsequently, at the end of chapter, answers to problems are also presented. These scripts are intentionally accessible only in electronic form. The reason is the effort to continuously update and modernize individual tasks.

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Katarína Kimáková

The textbook is intended for university students who are preparing for the profession of biology teacher. The structure of the book is similar to an encyclopedia, with one page devoted to each content item, but the topics of the chapters and subchapters follow each other. The explanatory text on the page illustrates the diagram and there are notes and links to other sources of information. For better orientation, the content of the textbook is divided into 8 sections, which cover several chapters. It follows the general didactics, which it connects with the teaching of biological content. The book provides a basic orientation in the approaches to learning this subject, and also explains the relationship between biology as a science and the didactics of biology. It deals with teaching standards and curricula, advises on how to master biological concepts and understanding, how to communicate with students in biology classes, when and why are effective visual and practical methods. It acquaints the reader with the issue of setting goals for biological education in the cognitive, psychomotor and affective areas in relation to formative and summative assessment. Hopeful as well as experienced teachers will find in this publication not only a look into the history of teaching biology, but also a look into the future. Current trends in biology teaching, the connection of teaching with digital technologies, the virtual learning environment and interactive simulations and models belong to science lessons today.

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 Andrej Oriňak - Renáta Oriňaková - Andrea Fedorková

Nanotechnology represent the fastest developing science in the present. They are based on the technologies that enable the matter manipulation at atomic level. Nanotechnology offer prepartion of the new materials with unknown and very specific properties and functions.Recent nanotechnology still stay in formative phase of their development. But more and more they are visible with nano-specific phenomenons in the fundamental control of the properties as well mater behaviour. This is quite possible that without nanotechnology will not work any science to the future, moreover that science will not exist anymore. Nanotechnolgy will give a chance and force to transform world to more environmental and comfortable. Expected is expansion of the nanotechnolgy to molecular nanosystems – heterogenous nets, in which molecules and supramolecules work as the nanodevices. The computers and robots will be reduced to the small and ultrasmall dimensions. In medicine will foremost the application of nanotechnology in genetic therapy and elimination of ageing. Nanosurgery will work at molecular level, cancer cells will be identified early and filtered , then substituted with healthy and unchanged. It is necessary to inform university or high school students  about principles of nanotechnolgy, preparation of the nanostructures, functionality of them and to offer full representation about molecular systems and nanodevices; the methods of nanostructures characterization and about application in miniaturized systems. 

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Ondrej Hutník (ed.)

Book of abstract

Uncertainty Modeling 2024 (UM 2024) is organized by Pavol Jozef ˇSaf´arik University in Koˇsice. It is a continuation of the series of colloquia held in Rzesz´ow under the name International Symposium on Fuzzy Sets (ISFS) and in Bratislava under the name Uncertainty Modeling.

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Jozef Strečka- Katarína Karl’ová (eds.)

Zborník obsahuje program a abstrakty workshopu s názvom: 1st Workshop on Perspective Electron Spin Systems for Future Quantum Technologies, ktorý sa bude konať 28.-29. júna 2022 v Košiciach. Workshop je organizovaný Prírodovedeckou fakultou Pavla Jozefa Šafárika v Košiciach a Ústavom experimentálnej fyziky Slovenskej akadémie vied v Košiciach s finančnou podporou Agentúry na podporu výskumu a vývoja. Ústrednými témami konferencie budú súčasné problémy kvantovej fyziky - kvantovej teórie magnetizmu spinových a elektrónových štruktúr, exotických kvantových spinových stavov, kvantového previazania, kvantových fázových prechodov, topologického kvantového počítania a kvantového spracovania informácie. Účastníci workshopu budú prezentovať originálne pôvodné výsledky svojho výskumu, ktoré môžu zásadným spôsobom ovplyvniť vývoj budúcich kvantových technológií.   

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Andrej Mock

The structure of the animal body is extremely varied. Each species has its distinctive morphological features, which bears as a testimony to long-term development and belonging to the developmental lineage. At the same time, the body has been tested for a long time by natural conditions, resulting in unique adaptations to the environment and life strategy. Despite this admirable variety - which includes both recent and fossil animals and which we have far from mapped – a comparison of body parts brings knowledge we can generalize: the main building principles, and boundaries within which phenotypic diversity is realized.

Comparative animal morphology today uses the latest methodological material and knowledge from other disciplines, from genetics, molecular biology and experimental embryology, through progressive imaging methods (e.g. electron microscopy, computer micro-tomography) and the possibilities of subsequent software processing of image material (measurement, staining, etc.) to the view of physics, chemistry, statics and geometry on the structures (to nanostructures) of the living body. Detailed knowledge of historical and contemporary conditions on Earth is an important interpretative context in the study of animal morphology. Surprisingly, the knowledge accumulated after centuries of research is now rapidly supplemented by new knowledge, and often the traditional knowledge is subsequently reinterpreted. Finally, and no less important, in studying animal (and human) morphology, we learn surprising knowledge about ourselves.

The author of the presented textbook had the ambition in a simplified form to introduce the reader, especially the student of biological studies, into a dynamic and fascinating scientific discipline, as the current comparative animal morphology is.

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