Vybrané kapitoly z biogeografie pre geografov

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Janka Vrláková - Stanislav Vokál

Atomic and nuclear physics are relatively young scientific disciplines forming the final part of the general physics course at the Faculty of Physics of the Jagiellonian University. Their aim is to explain the nature of the basic physical properties of atoms, atomic nucleus and elementary particles.

This is also the content of the lectures and exercises ‘General Physics IV’ in the 2nd year of the Bachelor's degree in Physics at the Faculty of Natural Sciences (PF) of the P.J. Šafárik University (UPJŠ) in Košice. They are followed by optional lectures ‘Nuclear Radiation in the Environment’, ‘Introduction to the Physics of the Microworld’ in the 3rd year of the Bachelor's degree of single-discipline study of physics, or teacher study of physics in combination with another subject, and ‘Subnuclear Physics’ in the 1st year of the Master's degree of teacher study of physics in combination with another subject.

In the aforementioned lectures, the latest experimental findings on the structure and behaviour of the microworld are presented by means of physical theories and their subsequent experimental verification in experiments.

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Jozef Bednarčík (ed.)

Pavol Jozef Šafárik University in Košice under the auspices of Ministry of Education, Research, Development and Youth of the Slovak Republic, Ministry of Economy of the Slovak Republic and European X-Ray Free-Electron Laser Facility GmbH in Hamburg organizes School of XFEL and Synchrotron Radiation Users 2024 (SFEL 2024). The school is continuation of the Winter Schools of Synchrotron radiation held in 2011, 2013, 2014 and SFEL 2017, 2018, 2019 and 2022. The aim of the SFEL2024 school is to facilitate the growth of new Slovak research community of high expertise in high-efficiency RTG laser and synchrotron and neutron sources. The SFEL school is designed for efficient transfer of the rapidly developing know-how in these areas to young generation – researchers and university students. The next aim of the SFEL2024 is strengthening of personal connections between the local Slovak research community and forming scientific teams of XFEL users. Slovak research community thus can take advantage of the fact that Slovakia is a shareholder of European XFEL GmbH Company in Hamburg, but also makes more efficient use of other closely related scientific facilities, including ILL and ESRF in Grenoble and DESY in Hamburg.

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Miroslav Almáši(ed.)

The proceedings of the conference 60 YEARS OF SCIENCE AND EDUCATION IN THE FIELD OF INORGANIC CHEMISTRY IN EASTERN SLOVAKIA comprise a collection of scholarly and scientific contributions presented on the occasion of the 60th anniversary of the establishment of the Department of Inorganic Chemistry at the Institute of Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice. The conference focused on reviewing the scientific, research, and educational activities in the field of inorganic chemistry in eastern Slovakia and highlighting significant achievements accomplished over the sixty-year history of the department. The abstracts included in the proceedings cover a broad range of topics that reflect current trends and directions in inorganic chemistry. The proceedings are thematically divided into four main areas, encompassing contributions dedicated to inorganic, coordination, bioinorganic, and materials chemistry. This collection offers a valuable overview of the current state of research in inorganic chemistry, as well as its teaching and historical development in eastern Slovakia..

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Zuzana Kudličková(ed.)

Proceedings of Abstracts from the Scientific Conference with International Participation Organized on the Occasion of the 50th Anniversary of the Establishment of the Department of Organic Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice, held on June 8–10, 2016 in Košice.

The Department of Organic Chemistry was established on February 1, 1966. From its inception, the department’s development prospects have been linked to high-quality scientific research focused on the synthesis of isothiocyanates and the products of their nucleophilic additions. In addition, studies were conducted on the use of cycloaddition, cyclocondensation, and photocyclization reactions of heterocumulenes in the synthesis of heterocycles.

Currently, research at the Department of Organic Chemistry is concentrated on stereoselective syntheses of iminosugars and γ-lactam-β-lactone antibiotics, total synthesis of natural compounds and their analogues possessing a sphingoid structure, research into the synthesis of indole alkaloids from the phytoalexin group, and the synthesis of acetylcholinesterase inhibitors based on acridine and coumarin derivatives.

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Dušan Barabas a kol.

The presented text is the final product of work within the project "Tanuljunk egymástól!/Let’s Learn from Each Other!" The project emerged from long-standing contacts between the staff of the Centre for Regional Studies of the Hungarian Academy of Sciences and the Institute of Geography at the Faculty of Science, Pavol Jozef Šafárik University in Košice, as a natural effort to expand mutual cooperation. The first step was collaboration within Interreg II projects, involving a broad range of institutions from both academic and non-academic environments. This initial attempt was unsuccessful due to administrative errors. Consequently, a project titled HUSK/0801/1.6.1/0003 "Tanuljunk egymástól!/Let’s Learn from Each Other!" was prepared and developed in agreement with the Hungarian side. It was approved and co-financed by the European Regional Development Fund under the Hungary-Slovakia Cross-Border Cooperation Program 2007–2013.

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Katarína Cechlárová

Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples  and formulate arguments to explain the studied phenomena.

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Vladimír Sedlák

In the presented university textbooks, so-called satellite-based augmentation systems (SBAS, from the English Satellite Based Augmentation Systems, in Slovak Systémy rozširujúce základné satelitné systémy) are also discussed. These systems enhance, expand, or refine the basic satellite navigation systems. They are supportive satellite systems for GNSS (Global Navigation Satellite Systems). Currently, the long-operational American GPS and Russian GLONASS systems, as well as the partially operational European Galileo system (since December 2016), have and will continue to have broad applications in various fields of human activity, both professional and personal.

The university textbook Globálne navigačné satelitné systémy (Global Navigation Satellite Systems) reflects the current progressive development in the technological and instrumental principles and components of such satellite navigation systems. It presents the state of these satellite technologies from their historical origins and development to the present. The rapid advancements, particularly in the instrumental base of satellite navigation systems, will require updates on their current state in future editions of these university textbooks.

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Alena Gessert

Caves have always been very specific places throughout history. In some cultures, they served as sites for sacrifices or remembrance, while in others, they were seen as places where one could cross to the "other side of life." People used caves for shelter, as places to leave messages, to wait out bad weather, and in some cases, even lived in them. During wars in our region, entire families or villages would hide from enemies in caves, or they would use them to conceal weapons.

Today, in most countries, caves are destinations for tourists who want to experience something new and unknown: darkness, high humidity, and the fascinating beauty of underground formations. They are also sought after by cavers who long to explore caves, enter worlds where no human has set foot before, find evidence of previous habitation, or conduct research that continually advances our knowledge.

In the publication you are holding, we present both traditional and less conventional topics about the formation of karst and caves, selected ecological aspects, maps and their creation, significant caves of the world, and the life of people in such areas. We also offer an overview of important karst locations that are definitely worth learning more about or visiting in person. This publication is intended for readers among pupils, students, teachers, and the general public, and we believe it will draw you into this mysterious world.

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Ondrej Hutník

The concept of the integral is one of the most significant concepts in mathematics as a whole. In its most primitive form, it was already used by the ancient Greeks in the creation of Euclidean geometry. However, it was only after Descartes' work on analytical geometry in 1637 that mathematicians could begin to consider the integral as a subject of analysis. Descartes' work laid the groundwork for the discovery of infinitesimal calculus by Leibniz and Newton around 1665. At that time, a great dispute arose over the priority of this discovery, dividing scholars of Germany and England into two opposing camps, each favoring their own champion. Today, we know that Newton's work on fluxions and fluents was somewhat earlier, but Leibniz's notation and approach have gained more acceptance in the mathematical world, and the symbols ∫ ∫ and d d are still used today. A brief overview of the history of the integral will be presented in Chapter 1.

Today, there is a plethora of scripts, textbooks, and books dedicated to explaining the concept of the integral. Therefore, every potential author faces the initial question of whether to write another text on this topic. Our affirmative answer to this question was driven by the students' request to find the subject matter of a part of the winter semester of the second year presented in a coherent form. The second motivation is a slightly different approach to the topic. If we consider the methods typically used in solving problems and gaining routine with a certain integral, it mainly involves the Newton-Leibniz formula, and often there is little time left to compute the definite (Riemann) integral using its definition. Therefore, we included a discussion of the Newton integral in Chapter 2, which reflects this fact and is directly related to the indefinite integral, whose various calculation methods receive relatively much attention in the previous semester. Only after that, in Chapter 3, do we build the theory of the Riemann integral, present criteria for its existence, classes of integrable functions, basic properties, and finally its relationship with the Newton integral. Questions primarily concerning geometric applications are addressed in Chapter 4, and in the final chapter, we focus on extending the Riemann integral to unbounded functions and unbounded intervals.

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Vladimír Sedlák

The university textbooks entitled Global Navigation Satellite Systems: GPS, GLONAS, Galileo, Compass present four navigation systems of the GNSS (Global Navigation Satellite Systems): American NAVSTAR GPS, Russian GLONASS, European Galileo and Chinese Compass. The Satellite-Based Augmentation Systems (SBAS) are also briefly explained. They provide regional service in augmenting the reach and support of signals from satellites of the GNSS (GPS, GLONASS, Galileo, Compass). Each satellite navigation system in the frame of GNSS is elucidated in terms of its principles of operation, structure, specificities, applications, and future perspectives.

The university textbook aims to improve the reader’s understanding of the principles and activities of the presented GNSS. The book emphasizes the possibilities of GNSS applications in geodesy and geography. The university textbook constitutes the basic study literature for the class Global Navigation Satellite Systems within the study program Geography and Geoinformatics at the Faculty of Science of the Pavol Jozef Šafárik University in Košice. For a deeper study of the GNSS issue, it is necessary to extend the study materials to include other educational scientific literature dealing with navigation satellite systems and their applications.

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Milan Žukovič

This textbook is intended for master's degree students and is a follow-up to the Computational Physics I course studied at the bachelor's level. The content of the textbook Computational Physics II focuses on stochastic methods of solving physical problems, mainly on Monte Carlo (MC) simulation of many-particle systems.

The focus on this computationally intensive approach is motivated by the gradual increase in the computing capacities of ordinary computers as well as the introduction of high-performance computing clusters. This has led to significant progress in the development of new simulation techniques, thanks to which MC simulations have found application in various areas of research and application practice. Considering the main research focus of the department, this text is particularly devoted to the presentation of basic and more advanced MC simulation techniques applied to a simple Ising spin model in order to investigate its magnetic, thermodynamic and critical properties.

The next part is devoted to MC simulations of random processes. It focuses on the simplest but also the most basic random walk process and demonstrates its applications in financial analysis and the solution of a quantum system described by the time-dependent Schrödinger equation. The last part is dedicated to the basics of molecular dynamics, applied to simulating the classical movement of atoms in a given force field. By mastering the problems addressed in this course, students will obtain a potential tool for working out of their diploma theses, or a methodology useful for their further scientific and research practice in the field of investigating of complex systems.

The lectured topic is subsequently exercised in the form of preparing projects implemented in the freely distributable software Octave, which is easy on the user's programming skills and which students have the opportunity to familiarize themselves with in the previous study.

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Jozef Bednarčík

Crystallography deals with discerning the arrangement and bonding of atoms in crystalline solids. Almost immediately after their discovery, X-rays began to be used to study the internal structure of substances.

The first chapter of this textbook deals with the basic concepts of crystallography. At the beginning, crystalline solids are characterized. In the next section, the basic types of bonds and their characteristics are briefly presented. The main subject of this chapter is the interpretation of basic concepts such as symmetry operations, translational periodicity, grid, elementary cell. Spatial lattices and crystal systems are presented. At the end of this chapter, attention is paid to the description of individual types of defects in crystal structures. In the second chapter, the Bohr model of the hydrogen atom is presented. Individual quantum numbers and their meaning are given.

Next, energy levels and allowed transitions within an atom with multiple electrons are described. The second chapter concludes with the characterization of the basic absorption and emission processes. The third chapter is devoted to the production of X-ray radiation and its properties. Sources of X-ray radiation and a description of their operation are presented.

Interaction of X-ray radiation with matter, absorption and detection of X-ray radiation are the subject of the last part of this chapter.

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Jozef Strečka

The present textbook deals with exactly solved models and their diverse applications in several branches of physics such as mathematical physics, statistical physics, condensed matter physics and so on. Exactly soluble models are currently considered as an inspiring research field in its own right, which regrettably requires a considerable knowledge of sophisticated mathematics. Accordingly, my primary ambition was to provide an intro- ductory course for undergraduate students that would cover the simplest exactly solved models, whose rigorous solutions are available even after modest calculation. The present textbook should be therefore regarded as an auxiliary graduate-level textbook, which should serve as the student’s guide on this beautiful but surely intricate subject.

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Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

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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. 

Authors

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Katarína Cechlárová (ed.)

In 2018, the Student Scientific Conference was held on April 18, 2018, in 16 sections covering biology and ecology, chemistry, physics, geography, mathematics, computer science, and their subject didactics. There were 110 registered contributions from bachelor's and master's students. Additionally, eight high school students participated outside of the competition; these students already visit our alma mater at a young age, work in our laboratories, and prepare for further studies under the guidance of our enthusiastic teachers. The day also included a programming competition and the IHRA competition in three categories, where students from PF UPJŠ competed alongside pupils from elementary and secondary schools.

The abstracts of the Student Scientific Conference contributions convincingly demonstrate that PF UPJŠ students study their field not only theoretically but also actively engage in solving partial scientific problems that are part of the research goals at PF UPJŠ institutes. This collection provides an overview of scientific activity at the faculty, which we believe will be interesting for the broader public as well.

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