Praktikum z nukleárnej magnetickej rezonancie. Časť 1: Kvantitatívna NMR

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Peter Fedoročko (ed.)

Proceedings of the 7th Annual Doctoral Spring School 2020

From November 10 to November 11, 2020, the 7th annual Spring School for Doctoral Students at Pavol Jozef Šafárik University in Košice will take place in Košice in a modified mode in the on-line space. The scientific program of the spring school will comprise 2 plenary lectures by leading scientific experts of Pavol Jozef Šafárik University in Košice. Doctoral students will present their research papers in two sections: 24 doctoral students of Faculty of Public Administration, Faculty of Law and Faculty of Arts, and 22 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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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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Janetta Nestorová Dická

The university handbook Elementals of Population Geography and Demography - Part I, as an introduction to population studies, is primary study material for students of the geography study program, as well as for students of the Information Systems in Public Administration study program at the Pavel Jozef Šafárik University in Košice, but also for the wider public interested in about population phenomena and their spatiality. Among other things, the handbook offers the latest population reports in the world and its regions.

The aim of the handbook is to introduce young geographers to the basics of population research, which includes the most frequently used tools and methods in geographic analysis. The first part of the handbook contains an introduction to the scientific disciplines of population geography and demography with an overview of basic sources of demographic data.

The next part discusses the issue of anthropogenesis, i.e. the development of humans from our ancestors and the spatial spread of humans across our Earth. Part of this part is the recent development of the world population and changes in the size and distribution of the global population over time. The last part analyses how the population is distributed in the world and in relation to the geographical components of the space.

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Vladimír Zeleňák (ed.)

The proceedings contain contributions from participants of the Student Scientific Conference of the Faculty of Science at UPJŠ in Košice, which took place on April 24, 2014.

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Beáta Valkay ed.
Ivana Slepáková-Andrej Mock a kol.

The publication EFFUSE – River Landscape, Volume 2: Guidelines for Experts, developed within the EFFUSE project, is intended for professionals in the field of environmental sciences. It provides recommendations for research in river landscapes and highlights their importance for understanding ecological processes. The text presents bioindicators as a key tool for assessing landscape health and biodiversity conservation. A dedicated section explains why studying river landscapes as natural laboratories is essential. The publication also includes a practical manual for the Olympus DSX-1000 High End Model microscope, expanding opportunities in scientific education and research. In this way, it combines theoretical guidelines with modern technologies that enhance environmental knowledge.

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Beáta Valkay ed.
Ivana Slepáková-Lenka Maliničová a kol.

The publication EFFUSE – Educational Materials for the Public was developed within the EFFUSE project and focuses on current environmental issues of river landscapes. It emphasizes the importance of water as an irreplaceable resource and the need to protect it. Special attention is given to bioindicators – organisms whose presence or absence reflects the state of the environment. Monitoring bioindicators makes it possible to detect ecosystem changes before serious damage occurs. The publication highlights that biodiversity is essential for ecosystem stability and health. As such, it serves as a valuable educational resource for the public, raising environmental awareness and encouraging active involvement in nature conservation.

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Beáta Valkay ed.
Ivana Slepáková-Andrej Mock a kol.

The textbook EFFUSE – River Landscape, Volume 1: Scientific Education for Everybody, developed within the EFFUSE project, explores the importance of water for living organisms and the specific features of water in the Transcarpathian region. It addresses the issue of water pollution and presents bioindication as an effective method of environmental research. The publication explains how the ecological status of rivers and water quality can be assessed using aquatic plants, insects, fish, and amphibians. It also raises awareness about the microbial composition of water and offers guidance on protecting oneself from waterborne infections. Finally, it highlights the significance of environmental education and awareness in strengthening the relationship between humans and the natural environment.

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Karel Saksl

Solving crystal structures is the royal discipline of X-ray crystallography. Its primary task, with the exception of defects, is to describe the atomic structure of the motif that, by its repetition, fills the volume of the entire crystal or crystalline phase. This task is nowadays more or less routine for single-crystal X-ray diffraction, which can locate hundreds to thousands of non-hydrogen atoms in large unit cells. However, in real practice, we often have material available only in powder form instead of single crystals. Solving the atomic structure from its X-ray diffraction data is non-trivial, mainly because the three-dimensional diffraction space of a single crystal is reduced to one dimension by measuring a large number of randomly oriented microcrystals (crystallites). Therefore, the solution itself requires, in addition to proper measurement methodology, the selection of suitable tools, procedures, and strategies that, through optimization, will lead to the solution and refinement of the given crystalline phase. The current limit of this method is approximately 100 non-hydrogen atoms in the asymmetric part of the unit cell, which, however, is sufficient for most inorganic materials.

The goal of these educational texts is to provide students in the second and third levels of university studies with specific guidance on solving crystal structures from powder X-ray diffraction data. These scripts build upon my first monograph and require practical knowledge of its content. Similar to my previous monograph, I offer solved examples without a deep theoretical introduction, demonstrating procedures and strategies leading to the correct solution of crystalline phases using the freely available GSAS-II program. The examples are arranged from simpler to more complex, and the reader will find many useful pieces of information in the literature references as well as in the comments below the line. Part of these scripts are data intended for your individual practice of the described procedures. 

Karel Sakls

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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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Mariana Budovská

The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.

The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).

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Jana Shepa (ed.)

The book of abstracts from 7th International Conference on Novel Materials: Fundamentals and Applications, NFA 2023 is composed of contributions from the participants of this international conference. The conference consisted of 3 invited lecture and 40 abstracts of participants. The conference is focused on novel materials and its application in various research areas. All contributions are professionally processed and inspiring.

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Dušan Barabas - Alena Labunová

These study materials aim to provide basic information about biogeographical issues from a geographical perspective, i.e., a perspective focused primarily on the aspect of spatial differentiation of the biosphere. The basis for the division of the biosphere is its historical development, during which individual taxa and communities were formed.

The historical development of the biosphere did not occur under stable, constant conditions, but rather in ever-changing conditions caused by the position of our planet within the solar system, the position of the Earth's axis relative to the ecliptic, and also the position of the solar system within the galaxy. All changes in the Earth's position, together with the movement of continents (drift) and climate changes, created the prerequisites for the spatial expansion of the biosphere. The historical development of the biosphere, various perspectives, the hierarchical level of differentiation, and the causes of differentiation are incorporated in this study material, whose aim is to outline the basic principles of this division.

The goal is also to highlight certain differences in the understanding of terminology, as well as to point out some fundamental relationships operating within the landscape system in the broadest sense of the word. The section devoted to the ecological principles of the functioning and formation of the landscape system, according to MIČIAN and ZATKALÍK (1984), outlines the issues of understanding the terms ecosystem and geosystem. For this reason, the presented text includes chapters that attempt to explain the understanding and approach to some basic concepts.

These study materials are intended for students of single-subject, interdisciplinary, and supplementary studies as basic teaching material. By expanding the knowledge from this study material with further information, which is elaborated in more detail in the literature listed in the bibliography of this text, graduates will gain a comprehensive view of biogeographical issues.

Authors

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Renáta Oriňáková (ed.)

Book of abstract

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Denisa Maceková-Monika Václavková-Marek Kvet-Ivana Sotáková

The publication Digiform: A Supporting Application to Digilib – User Guide, Part B presents the Digiform web application as a tool that extends the functionality of the Digilib digital library of formative assessment tools. The application enables the creation and editing of formative assessment tool templates, which can be adapted to the specificities of individual subjects and levels of education and subsequently imported into the Digilib environment for use in the teaching process. The guide provides a detailed description of how to work with the Digiform application, from creating new templates, editing and personalising them, through to their export and implementation in the main Digilib application. Attention is also given to the interconnection with the Digilib Images application, which enables the integration of visual elements into the assessment tools, thereby enhancing their didactic effectiveness and visual appeal. The guide is intended for teachers at all levels of education, student teachers, school administrators, and digital coordinators who are interested in the systematic use of the Digilib digital library to support the implementation of formative assessment, enhance the quality of the educational process, and foster the development of students’ self-assessment and reflective competences.

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Valéria Skřivánková 

Predložený učebný text sa pokúša ilustrovať možné aplikácie Teórie pravdepodobnosti na príkladoch z oblastí (vo fyzike, chémii,  biológii, ekonomike, finančníctve, atď.), ktoré sú spestrené o úlohy na hľadanie optimálnej stratégie.

Text je určený predovšetkým poslucháčom Prírodovedeckej fakulty UPJŠ, budúcim učiteľom matematiky, študentom odboru matematika a informatika prípadne iným záujemcom, ktorí budú aplikovať pravdepodobnostné metódy pri riešení reálnych problémov. Obsahom pokrýva prvú časť predmetu "Pravdepodobnosť a štatistika".

Autorka

E-book

Juraj Černák

A significant part of inorganic chemistry is coordination chemistry, which deals with coordination compounds. Coordination compounds are numerous because they arise from the combination of central atoms, mostly metals, with ligands, and every organic compound is a potential ligand. This is confirmed by a recent report that American scientists M. Brookhart, C. Schauer, and their colleagues from universities in North Carolina and Washington described the preparation of a rhodium complex with methane as a ligand.

This textbook is based on the long-term experience of the author in teaching and testing this subject. The subject is well-covered in several textbooks of varying difficulty in English; their partial list can be found by readers in the list of used literature at the end of this textbook. On the other hand, in Slovak language, coordination chemistry issues are only marginally covered in several textbooks focused more on general inorganic chemistry but lack a comprehensive view on this topic. From this follows the goal of this proposed textbook - to cover the lack of study literature in this area for Slovak language.

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