Faculty of Science

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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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Ondrej Krídlo

University textbooks present the basics of knowledge systems, which are divided into two parts. The first part of the publication is devoted to the basis of Formal Concept Analysis, ie the method of data analysis, knowledge representation and information processing, which is based on the formalization of the concept. In the second part we deal with the basics of logic programming, procedural semantics of logic programming, ie programs - theories, questions, SLD-derivation, SLD-tree, search strategies.

University textbooks are intended for students of master's degree programs in computer science.

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Jana Shepa - Ivana Šišoláková (eds.)

Abstracts of the 4th International Conference Nanomaterials: Fundamentals and Applications (NFA) 2020 is the contributions summary of the conference participants. The conference will feature three invited lectures and eight registered lectures. This conference is a tool for creating a dialogue between experts in the field of nanomaterials, their use and overall application in various fields. Papers in the proceedings are thematically divided into 6 areas. All contributions are highly professional and interesting and can contribute to further creative scientific work.

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Juraj Ševc - Filip Mochnacký

Students studying biology as the single-subject or as a part of two-subject programs on various faculties of sciences are often encountered with the problem, how to limit the topics in the subject Human anatomy. This List of anatomical terms is aiming to help the non-medical students to get acquainted with the extensive anatomical nomenclature and to optimize the number of anatomical terms, which should be memorized, to preserve the sufficient capacity of the students for another knowledge of the field of systemic, comparative, developmental and functional anatomy. The emphasis on the arrangement of individual anatomical terms into the logical units supports the hierarchical view on the architecture of the human body.

Despite the common opinion, anatomical nomenclature represents a framework, which is during the further study gradually enveloped with the knowledge of more or less related disciplines concerning with the human body and its biological processes. Moreover, besides this ambition, which exceeds the area of the human anatomy, this List of anatomical terms continues the long tradition with respect to the valid Latin and Slovak anatomical terminology.

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Gabriela Andrejková - Ľubomír Antoni

Machine learning addresses the issues of how computer programs recognize complex patterns and make decisions based on data. In these university textbooks, we focus on theoretical knowledge in the field of machine learning in which we present the creation of concepts for objects, the preparation of concepts, hypotheses and the process of learning from examples. We describe Boolean formulas and their representations, probabilistic learning, linear and logistic regression, linear modeling and classification. Clustering and the Bayesian approach to machine learning conclude this publication.

University textbooks are intended for students of master's degree programs in computer science.

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Ľubomír Antoni a kol.

In university textbooks, we present the basics of the Internet of Things, its origin and technological development, concept. We classify Internet of Things applications into the areas of healthcare, intelligent environment, personal and social areas, transport and logistics, smart cities.

We present an overview of university subjects in the field of the Internet of Things, which were created and innovated at Slovak universities within the national project IT Academy - Education for the 21st Century. We present extended subject annotations, application examples and case studies using various methods in the field of the Internet of Things.

University textbooks are intended for students of bachelor's, master's, engineering and doctoral study programs in computer science, but also in non-informatics fields.

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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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Ľubomír Antoni a kol.

In university textbooks, we present the history of data science, basic concepts in artificial intelligence, machine learning, or deep learning. We describe the relationships between data science and other disciplines and summarize the tasks of the data scientist. We present an overview of university subjects in the field of data science, which were created and innovated at Slovak universities within the national project IT Academy - Education for the 21st Century. We present extended subject annotations, application examples and case studies using various methods in the field of data science. University textbooks are intended for students of bachelor's, master's, engineering and doctoral study programs in computer science, but also in non-informatics fields.

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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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Karel Saksl

The aim of these study texts is to provide students in the second and third levels of higher education with specific guidance on processing 2D diffraction data, performing phase analysis from X-ray diffraction data, and refining microstructural parameters of identified phases using the Rietveld refinement method.

This guide is designed in the form of real-world tasks from materials research and leads the reader step by step through the processes of processing, evaluating, and interpreting the measured data. For this purpose, freely accessible programs such as Fit2D, QualX, POV-Ray, and GSAS II will be used, as well as a freely downloadable commercial program (Diamond) that allows for task execution in demonstration mode. Phase analysis will be conducted exclusively using the freely distributable crystallographic database Crystallography Open Database (COD).

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Erik Sedlák - Rastislav Varhač -  Patrik Danko - Helena Paulíková - Dušan Podhradský

The presented scripts were created in an effort to update and especially clarify the tasks that are solved in the basic practical exercises in biochemistry students of the 2nd and 3rd year of the bachelor's degree in chemistry, biology and their combinations with other disciplines. Most of the tasks come from the original scripts "Podhradský, Mihalovová: Praktické cvičenia z biochémie, Košice 1989".

Some of them have been modified to a greater or lesser extent and adapted to current conditions in the laboratory. New tasks were also added, such as those dedicated to nucleic acids. The scripts are thematically divided into six separate units, each of which consists of several tasks. The names of the units correspond to the nature of the biomacromolecules, which form their central theme. Theoretical introductions at the beginning of the unit are newly constructed and their main goal is to provide a brief overview of the basic biochemical methods used in the study of biomacromolecules.

These scripts are intentionally only available in electronic form. The reason is the effort to continuously update and modernize individual tasks according to the changing possibilities of our laboratory. We hope that the scripts will fulfill their role and that students will have sufficient theoretical knowledge and practical skills in the field of basic biochemical methods after completing these laboratory exercises.

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Adela Kravčáková - Stanislav Vokál - Janka Vrláková 

The presented “General Physics IV, Part 1: Atomic Physics” is intended as a basic study material for lectures from General Physics IV in the second year of bachelor-level study of physics and interdisciplinary study in combination with physics at the Faculty of Science, P. J. Šafárik University in Košice. The content covers the first part of the given course of physics, devoted to atomic physics.

The aim of the course is to obtain basic information about the structure of the atom and the electron shell of the atom.

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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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Zuzana Vargová - Miroslav Almáši - Juraj Kuchár - Jana Dinajová 

The script „Základné laboratórne praktikum z anorganickej chémie“ builds on previous editions of the script, with some thematic units updated and supplemented with new knowledge, principles, and detailed work procedures.

This script is intended as a teaching aid for first-year students of the chemistry and interdisciplinary study programs at the Faculty of Science, Pavol Jozef Šafárik University in Košice. The introductory part of the volume acquaints students with safety regulations that they should follow during work in a chemical laboratory. Subsequently, in five chapters, basic laboratory techniques are described in detail, which students will use in the further part of the practices for preparing inorganic compounds. These chapters are enriched with illustrative images created using the freely distributable ACDFreeLabs 10 program or taken from literature listed at the end of the script. Some images were created by the authors, and others were taken from the catalog of Fisher Slovakia, s.r.o., which provided written permission for their use. The chapters describing the preparation of inorganic compounds are organized according to their composition, from simple elements or molecules, through binary compounds, acids, and salts, to complex compounds.

Within this subject, students should apply their theoretical knowledge gained during lectures on General Chemistry and Inorganic Chemistry and thereby acquire basic practical experience and skills that they will use in further studies.

The last two chapters were developed based on cooperation with Duslo a.s., Production Plant Strážske, which participates in the innovation of practical teaching through direct involvement of experts from practice as part of the KEGA project No. 008UPJŠ-4/2018.

Authors

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Ladislav Janovec

An enormous progress in computer technology, closely linked with advances in computational chemistry, has enabled the user to exploit the principles of quantum chemistry to elucidate the chemical phenomena.

Computational chemistry is the branch of science that requires, except an academic knowledge, software skills to fully exploit a potential of theoretical methods. The aim of this textbook is to help the user take the legendary first step in the field of computational chemistry to opening a new horizon of knowledge.

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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 2019". 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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Adriana Zeleňáková - Zuzana Ješková - Adela Kravčáková  et al. (eds.)

The proceedings contain abstracts of contributions from participants of the 10th Czech-Slovak Student Scientific Conference in Physics, which took place on May 2–3, 2019, at the Faculty of Science, Pavol Jozef Šafárik University in Košice.

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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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Katarína Cechlárová (ed.)

This year, the Student Scientific Conference was held on April 24, 2019, across 17 sections in disciplines such as biology and ecology, chemistry, physics, geography, mathematics, informatics, and their didactics. Bachelor’s and master’s students presented a total of 124 contributions. The most successful participants advanced to national or traditional Czech-Slovak student scientific showcases in fields like physics, chemistry, mathematics, informatics, and mathematics didactics.

In addition to faculty students, 10 high school students participated outside the competition. They were invited based on their achievements in subject-specific Olympiads or because they were already engaged with the faculty under the guidance of dedicated teachers in laboratory work as part of their preparation for future studies. The day also featured a programming competition with 23 participants, an IHRA contest involving 16 teams of high school students and 15 teams from elementary schools, and a new Puzzle section where 72 high school students from the region competed.

The abstracts from the Student Scientific Conference demonstrate that our faculty's students not only absorb theoretical knowledge delivered in lectures but also actively engage in solving partial scientific problems that align with research objectives at the institutes of PF UPJŠ. This collection serves as both a record of scientific activity at the faculty and a dignified presentation for the broader public.

Prof. RNDr. Katarína Cechlárová, DrSc.

Vice-Dean for Education

Doc. RNDr. Gabriel Semanišin, PhD.

Dean of the Faculty

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Marcel Uhrin - David Jandzik - Andrej Čerňanský - Michal Rindoš - Blanka Lehotská - Stanislav Danko - Ján Kautman - Peter Mikulíček - Peter Urban - Daniel Jablonski

Bibliographies provide basic scientific information, illustrate quality and intensity of research in a particular topic, area, or time, and thus help build a cultural-historical perspective of society’s appreciation of knowledge and education. Here we provide a bibliography of herpetological research in the region of Slovakia between the years 1791 and 2017. We collected 2,183 references authored by 1,453 different authors and covering all species of amphibians (18) and reptiles (13) occurring in Slovakia and, in addition, amphibian and reptile taxa occurring in 94 other countries.

Most of the contributions were published in popular magazines and non-indexed journals, while only about 12% of all references represent scientific articles from journals indexed in relevant scientific databases. The extensiveness of study on amphibians and reptiles has varied among different periods within the selected time frame. However, an obvious intensification in the field of herpetology can be observed, especially during the second half of the 20th century. While there have only been few professionals specialized in herpetology, an important role in promoting the research and conservation of amphibians and reptiles in Slovakia has been played by non-governmental organizations and hobbyists. The most frequent type of herpetological data in the referenced literature comes from faunistic research, followed by conservation and general information on herpetofauna, with the majority of published articles in indexed journals coming from the fields of palaeontology, phylogeography, and population genetics.

The presented bibliography is the first step towards building a solid base for future systematic herpetological research in the country and Central Europe.

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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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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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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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Katarína Cechlárová - Eva Pitoňáková (eds.)

Proceedings of Abstracts from Contributions by Participants of the Student Scientific Conference at the Faculty of Science, UPJŠ in Košice, Held on April 26, 2017

This is the fifth edition of the proceedings from the Student Scientific Conference (ŠVK) at the Faculty of Science, Pavol Jozef Šafárik University in Košice. We are pleased that ŠVK has become an integral part of faculty life and a showcase for the quality of education provided. In 2017, ŠVK took place as part of the traditional Science Days on April 26, 2017. 105 students from the Faculty of Science presented their work. Contributions were organized into 15 sections, supplemented by an open programming competition involving 17 students and the final round of the IHRA competition, which included 27 teams from across Slovakia.

The abstracts in this proceedings demonstrate that students at the Faculty of Science, UPJŠ, acquire knowledge and skills in their field not only through theoretical study of disciplines but also through active engagement in solving partial scientific problems aligned with research goals at the faculty’s institutes. These abstracts also provide an overview of the faculty’s scientific activity, which we believe will be of interest to the broader public.

doc. RNDr. Gabriel Semanišin, PhD.

Dean of the Faculty

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Zuzana Vargová - Miroslav Almáši (eds.)

Proceedings of Abstracts from the 3rd Conference Advances in Inorganic Chemistry (Levoča, June 17–21, 2018)

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Renáta Oriňáková (ed.)

Book of abstract

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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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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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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 Mock

Burda - Kováčov, Slovensko, 4.-7.10.2017

Abstracts of lectures by Czech and Slovak zoologists, ecologists, and physiologists, who study soil arthropods in the taxa Myriapoda and Oniscidea as model groups, presented at the 10th seminar in Kováčová near Chľaba, Slovakia.

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Ivan Potočňák

The script is a study literature for the subject Chemical Calculations, which is a mandatory course in the bachelor's degree programs in Chemistry and Chemistry – Interdisciplinary Studies, first year. The script contains 10 chapters with a total of 207 pages, guiding students through solved and unsolved examples to help them understand the subject matter.

Author

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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.