Náhodné procesy a ich aplikácie

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Jozef Strečka

Over the past fifteen years, the course on ’Exactly Solvable Models in Statistical Physics’ has become an indispensable ground of the study programme ’Theoretical Physics’ at Faculty of Science of Pavol Jozef Šafarik University in Košice. At first, the course based on the first edition of this textbook was intended for undergraduate students only, however, I have later prepared follow-up course taught at a postgraduate level on demand of several ambitious students who wished to continue in studying this exciting research field.

It is already more than decade when our students enrolled in the study programme ’Theoretical Physics’ graduate from ’Introduction to Exactly Solvable Models in Statistical Physics’ at a master level and ’Exactly Solvable Models in Statistical Physics’ at a postgraduate level. Of course, it was necessary somehow to rearrange topics for the courses of undergraduate and postgraduate students.

More specifically, a few more challenging topics concerned with exact solutions of 2D Ising model (chapter 3) were moved to a more advanced course intended for the postgraduate students, while an introductory course intended for the undergraduate students was contrarily supplemented with a few new topics requiring the second edition of this textbook.

The second edition of this textbook thus contains a completely new chapter 4 devoted to the exact solution of the Ising model on the Bethe lattice using the method of exact recursion relations, while the chapter 5 was supplemented by exact results for ground state of a few frustrated Heisenberg spin models using the variational method. It is my hope that the next edition of this textbook will come soon and it will involve all topics specifically taught within the postgraduate course as well. 

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Ľubomír Kováč

Učebný text „Zoogeografia“ objasňuje základné princípy a historický vývoj rozšírenia živočíchov na Zemi, a ďalej analyzuje faktory, ktoré ho ovplyvňujú. Vďaka moderným vedeckým metódam a technikám výskumu je zoogeografia veľmi dynamicky sa rozvíjajúcou disciplínou. Z geologických etáp je podrobnejšie spracovaná problematika paleoklimatických cyklov kvartéru, holocénu a vývoja postglaciálnej klímy, ktoré zohrali významnú úlohu pri dynamike vývoja živočíšnych areálov. Areálová analýza charakterizuje a triedi areály živočíchov a ich dynamiku v nadväznosti na speciáciu. Podrobne je spracovaná problematika zoogeografických oblastí s dôrazom na palearktickú oblasť. Časť zameraná na dynamickú zoogeografiu rieši najmä problematiku refúgií a reliktov v súvislosti s vývojom pleistocénnej paleoklímy. Text stručnou formou sumarizuje základné antropogénne faktory, ktoré v recentnej dobe drastickým spôsobom limitujú rozšírenie živočíchov v rýchlo ubúdajúcom prírodnom prostredí na Zemi. Text ďalej prehľadným spôsobom charakterizuje biogeografiu Karpát a faunu územia Slovenska. Záverečná časť prezentuje fylogeografiu ako modernú vednú disciplínu zameranú na rekonštrukciu migračných ciest v postglaciáli, ktorá je podložená analýzou molekulárnych markerov populácií živočíchov v širšom geografickom kontexte. 

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Mária Ganajová - Jozef Hanč - Ivana Sotáková - Petra Letošníková (eds.)

The International Conference on Research in Didactics of the Science – DidSci+ 2022, continues in the educational legacy of the successful series of the previous DidSci conferences held from 2004 in Krakow, Prague, Brno, or Trnava. The DidSci+ conferences present a platform for enduring international cooperation, focusing on the frontiers and current challenges in science education research. This special edition of DidSci conferences, celebrating its 10th anniversary, was held in Košice, at the Faculty of Science of Pavol Jozef Šafárik University, from June 26 to 29, 2022. The careful double-blind review process has led to two major publications offering a comprehensive look at the latest advances in STEM and science subjects education. The first volume of selected papers is published as the IOP Conference Series proceedings, Vol. 3037 with open access at https://iopscience.iop.org/issue/1742-6596/3037/1, and is primarily devoted to STEM education, assessment, evaluation, feedback strategies, and teacher development. The second volume of selected papers, published by ŠafárikPress, focuses more on curriculum development, educational innovation, and digital technologies, primarily in chemistry and biology. Both publications are intended for a wide audience, including in-service and pre-service teachers of science subjects, university students in scientific disciplines, researchers in science education, professionals in pedagogical and methodological centers, curriculum developers, and textbook authors.

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Slávka Hamuľaková

The textbook "Structure and reactivity - solved examples and tasks, part 1" is the basis for teaching the subject "Structure and reactivity" for students of the 1st year of master's studies at the Faculty of Science, UPJŠ, department of Organic Chemistry. The textbook is divided into individual chapters, each chapter offering students examples of chemical reactions, where their course is explained on the basis of appropriate reaction mechanisms. A substantial part of the textbook consists of unresolved tasks, the main goal of which is the development of students' knowledge and skills. Due to the fact that the textbook is focused on only one semester of study, it cannot cover all reactions, rather it is only representative examples of different types of reactions, such as: addition reactions, elimination reactions, aromatic substitution, addition-elimination reactions, radical reactions and pericyclic reactions.

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Miroslava Matiková Maľarová

The university textbook entitled: Host-guest and supramolecular chemistry provides basic information about this scientific field as well as the types of compounds that belong to it. It provides basic characteristics of non-bonded interactions as well as methods of characterization and classification for these compounds. It summarizes knowledge about various types of host-guest systems from the oldest such as Hofmann clathrates to inclusive compounds such as cyclodextrins and calixarenes. In addition to structural and synthetic information, which is supplemented with images, the textbook also addresses the possibilities of application or practical use of compounds. The conclusion of each chapter is supplemented with tasks for elaboration on a given topic.

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E-book

Gregor Bánó

Photonics is an application-oriented discipline at the interface of optics, opto-electronics and quantum optics. It includes classical optics extended by the description of physical phenomena and optical devices that rely on quantum (photon) nature of light.
The main objective of the Photonics course is to provide a comprehensive overview of essential optical and photonic phenomena routinely applied in experimental scientific research while working with various light sources (e.g. in the field of biophotonics). The first chapters are devoted to the description of light at different levels. The logical order of subsections in this part corresponds to the structure of the textbook: B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics. The following chapters contain a description of laser operation and an overview of selected optical instruments and their applications.
The body text is complemented by practical notes on the use of theoretical knowledge during daily work in the laboratory. The course of Photonics requires a basic knowledge of mathematics, electromagnetism and optics, and thus it is recommended to students who previously passed through the courses of the Bachelor's program in Physics.

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Ľubomír Antoni-Stanislav Krajči

An important part of theoretical computer science is the problem of Turing machines. This computational model has two basic properties: like any other computational program, the software of a Turing machine is composed of instructions, but in its case they are all of a single type. Every other (so far known) computer program can be transformed into a Turing machine program without loss of information. While the second feature reduces the question of what a calculator cannot do to the question of what a Turing machine cannot do, the first feature allows a much simpler investigation of such a question. Using this computational model, we can thus find concrete problems that no automaton can ever deal with (perhaps the most famous is the problem of the Turing machine stopping). Their existence demonstrates the fundamental limitations of (not only ideal) computational means, and thus encourages both criticality and humility in our thinking.

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Ivan Potočňák a kol.

The textbook represents a study literature on the subject of General chemistry, which is a compulsory subject of bachelor courses in Chemistry and Chemistry -  interdisciplinary study, the first year. This textbook contains 15 + 2 chapters in the whole range of 170 pages that follow the content of lectures and by means of examples and theoretical tasks consolidate and extend knowledge gained from lectures.

 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. 

Autori

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Monika Tvrdoňová - Miroslava Martinková

The scientific book of abstracts from conference „Novel Trends in Chemistry, Research and Education 2022“ 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 can be divided according to content into the field of analytical, inorganic, organic, physical chemistry, biochemistry, didactics of chemistry and NMR spectroscopy.

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Ján Guniš - Ľubomír Šnajder

Prílohy

College scripts Programming in Python 1 are intended for future teachers of computer science. The content of the course is related to the teaching of programming in Scratch and is an introduction to text-based programming in Python.

Programming is introduced as a means of developing problem-solving skills. The first chapter is devoted to problem solving. The next 12 chapters sequentially introduce basic language constructions, data structures, and selected types of algorithms. Each of these chapters begins with an introduction to the problem. This section is primarily intended for self-study, to prepare students for the exercises. The following subchapter summarizes and completes the knowledge, and additional insights and approaches related to the chapter topic are presented. The chapters include a collection of exercises designed to practice and deepen knowledge and skills on the topic.

The final part of the chapter presents the solved problems. This section serves as a guide to solving the problems in the collection.

i

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Renáta Oriňaková(ed.)

Trends in chemistry, research and education at Faculty of Sciences of P.J. Šafárik University Košice

November 4, 2016, Faculty of Natural Sciences, Pavol Jozef Šafárik University, Košice, Slovakia

Organized by:
Faculty of Natural Sciences
Pavol Jozef Šafárik University in Košice
Slovak Chemical Society

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E-book

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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Ondrej Krídlo - Gabriel Semanišin

For computer scientists, the constant challenge is to seek efficient algorithms and various technical and implementation possibilities to improve the computational complexity of currently known algorithms. Partial solutions are offered by approaches such as grid-based methods and parallelization of computation. Quantum computers represent a significant but still unfulfilled promise. From a theoretical perspective, probabilistic and approximation approaches provide very effective solutions, and these are the methods we aim to explore in detail.

These electronic university textbooks serve as supplementary materials for the course Approximation and Probabilistic Algorithms. They were developed from the authors' materials and contributions by Prof. RNDr. Viliam Geffert, DrSc., whom the authors thank for providing the manuscript. Acknowledgments also extend to RNDr. Ján Katrenič, PhD., who prepared the first set of exercises for the course, and Žaneta Semanišinová, who reviewed large portions of the text and contributed suggestions for its improvement.

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Terézia Kisková - Stanislav Matéffy - Františka Horváthová

The laboratory rat (Rattus norvegicus) is one of the most commonly used experimental animals. It serves as a model organism for analyzing numerous biological processes and pathological mechanisms, such as cardiovascular diseases, metabolic disorders (e.g., lipid metabolism, diabetes mellitus), neurological and neuropsychiatric conditions (e.g., stroke, epilepsy, or Alzheimer's disease), neurobehavioral research, autoimmune diseases (e.g., arthritis), cancer, and renal diseases. It offers many unique advantages for modeling human diseases, testing drugs and natural substances, and studying responses to environmental factors. The size of the laboratory rat, compared to the mouse, creates ideal conditions for physiological manipulations. Additionally, rats are used in clinical toxicology to test chemical substances (Hedrich, 2000).

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Jozef Bednarčík - Hana Vargová (eds.)

The Czech and Slovak Conference on Magnetism (CSMAG) is a scientific meeting that honors a longstanding tradition initiated in Košice in 1960. Evolving from a regional gathering of the Czechoslovak magnetic community into a prominent international forum, CSMAG brings together researchers from diverse fields of magnetism. The conference covers a wide range of topics including theoretical and experimental magnetism, magnetic materials for energy and spintronics applications, low-dimensional and molecular magnets, rare-earth and actinide systems, and multifunctional materials. With contributions from over 20 countries, CSMAG’25 fosters cross-disciplinary collaboration and showcases the latest advances in both fundamental studies and practical applications of magnetic phenomena.

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