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Jana Shepa (ed.)

The book of abstracts from 6th International Conference on Nanomaterials: Fundamentals and Applications, NFA 2022 is composed of contributions from the participants of this international conference. The conference consisted of 4 invited lecture and 52 abstracts of participants. The conference is focused on nanotechnology and its application in various research areas. All contributions are professionally processed and inspiring.

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Jozef Strečka - Hana Čenčariková - Andrej Gendiar (eds.)

The proceeding involves programme and abstracts of Workshop on Quantum Magnetism: Theoretical Challenges and Future Perspectives, which was held on June 7th – June 8th, 2019, in Košice, Slovakia.

The workshop is organized by Faculty of Science of Pavol Jozef Šafárik University in Košice and Institute of Experimental Physics of Slovak Academy of Sciences in Košice under the financial support of Slovak Research and Development Agency.

The main conference topics are devoted to state-of-the-art problems of Quantum Theory of Magnetism inncluding molecular magnetism, highly frustrated magnetism, magnetic phase transitions, quantum spin liquids, strongly correlated systems, exotic quantum states, flat-band systems and quantum entanglement.

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E-publication

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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Mária Vilková - Zuzana Kudličková - Aneta Salayová - Tomáš Ján Liška

The Nuclear Magnetic Resonance Practicum – Part 1: Quantitative NMR is designed for students taking the NMR Practicals course, which focuses on the practical aspects of quantitative nuclear magnetic resonance (qNMR). This publication builds on previous NMR courses and assumes basic theoretical knowledge of the method, emphasizing experimental procedures, data processing, and result interpretation. qNMR is a precise analytical technique with broad applications in analytical chemistry, pharmaceutical research, biomedicine, and quality control. The script provides a detailed guide to conducting experiments, as well as procedures for analyzing and evaluating acquired data. This publication offers students methodological guidance and support in mastering qNMR analysis and serves as a valuable resource not only during their studies but also for further research in NMR spectroscopy.

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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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E-book

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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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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E-book

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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E-book

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.

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Marcel Uhrin - Petr Benda -  Peter Kaňuch

Bats represent a unique group of mammals, characterised by different life strategies. They are the only mammals capable of active flight, which, combined with their almost exclusively nocturnal activity, has led to the evolution of specific adaptations. One of the most striking is echolocation, which enables them to orientate themselves perfectly in their surroundings in the dark. Bats are mainly native to the tropics, but have also colonised areas outside the tropics, which, has led to a complex phenological cycle with active phases and interruptions during hibernation, especially in temperate zones. In this diverse and species-rich group (almost 1,500 known species), there is a wide range of social organisation as well as feeding and roosting strategies. The textbook "Fundamentals of Chiropterology" brings the current state of knowledge about these extraordinary animals in eleven chapters and two appendices for the first time in the Slovak language.

E-publication

Mária Ganajová-Ivana Sotáková-Petra Letošníková

The conference proceedings FORMATIVE 2025 – Implementing Formative Assessment in Schools Together constitute the output of an online conference organised by the Institute of Chemical Sciences, Faculty of Science, Pavol Jozef Šafárik University in Košice, in cooperation with the National Institute of Education and Youth in Bratislava, within the framework of the KEGA project No. 001UPJŠ-4/2023. These proceedings present current knowledge, experience, and examples of good practice in implementing formative assessment in primary, secondary, and university teaching, with an emphasis on the use of digital tools. The papers address the foundations of formative assessment in the context of curricular changes and the ongoing educational reform, as well as specific didactic procedures for its implementation in the teaching of science and social science subjects, including mathematics, Slovak language, and foreign languages. Particular attention is paid to the development of professional teaching competences, formative assessment strategies, providing targeted feedback, and promoting students’ active participation in the assessment process. These proceedings also present the Digilib digital library, a tool developed to support the creation and management of formative assessment processes within the school environment. This publication is intended for experts in pedagogy and didactics, teachers at all levels of education, student teachers, digital coordinators, and all those interested in educational innovation and in improving the quality of teaching through formative assessment.

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E-book

Martin Bačkor - Miriam Bačkorová

The proposed text focuses on the history of studying biology, medicine, and pharmacy as scientific disciplines from prehistoric times through antiquity, the Middle Ages, and the modern era. The text chronologically organizes the most significant figures in the history of biological scientific disciplines, outlines key characteristics of major historical discoveries, and reevaluates their significance from the perspective of 21st-century science.

The educational text is chronologically divided into the most significant periods of civilization development. The last two completed centuries—the 19th and 20th—are subdivided into major life science fields due to the unprecedented growth of biological disciplines and the resulting volume of acquired information.

Since it can sometimes be challenging in science to define what constitutes the past versus the present of a particular discipline, we have excluded significant biological discoveries from the early 21st century, which are typically regarded as the “present” of biology.

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Mária Vilková - Monika Garberová - Michal Goga

Nuclear Magnetic Resonance (NMR) is currently a widely used analytical tool that finds application in many fields of science and technology. The broadening of its practical use brings with it the necessity to create educational texts appropriate to the given scientific discipline.

This university textbook is intended for students of biology and serves as a supplement to the study materials for the advanced master's course "Biology of Lichens." At the same time, it represents a useful resource for master's and doctoral students involved in research, helping them interpret NMR spectra and present basic theoretical concepts.

The textbook briefly describes the important aspects of each NMR spectroscopic technique without delving excessively into the physical principles of individual methods or complex mathematical analyses. In this edition, the structures of lichen metabolites have been included, which students will isolate, purify, and identify using various analytical methods during practical exercises. An entire chapter is dedicated to a detailed description of solving the NMR spectra of isolated metabolites, with each step in elucidating the structures of both known and unknown metabolites explained in detail. The solved tasks are followed by numerous unsolved examples, including high-resolution 1D and 2D NMR spectra of metabolites, intended to further develop the acquired knowledge and skills of students and doctoral candidates in structure elucidation using NMR spectroscopy.

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E-book

Marián Kulla – Ladislav Novotný – Petra Dávidová – Anton Uhrin (eds.)

Danišovce 16. – 18. 10. 2024

Zborník abstraktov, ktorý máte pred sebou, obsahuje príspevky prezentované na X. Medzinárodnom geografickom kolokviu v Danišovciach. Ústav geografie na Prírodovedeckej fakulte UPJŠ v Košiciach toto podujatie organizuje už od svojho vzniku ako platformu na výmenu vedeckých poznatkov, primárne medzi geografmi zo Slovenska a Česka. Aktuálny jubilejný ročník spoluorganizovali Prírodovedecká fakulta UPJŠ v Košiciach, Slovenská geografická spoločnosť pri SAV v Bratislave v zastúpení jej Košickej pobočky a spoločnosť UMBRA Solutions Košice.

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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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E-book

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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