Doménové steny a ich dynamika

E-book

Božena Mihalíková - Ondrej Hutník - Jozef Kiseľák

The textbook is devoted to the mathematical analysis of infinite series of numbers and functions. It is intended for students of mathematics, physics and computer science, as well as interdisciplinary study of combination with mathematics. It contains a theoretical background for investigating the convergence of infinite series, expanding functions into power and Taylor series, as well as the use of these results in various problems of mathematics, physics, and computer science. Using the historical background the textbook clarifies the motivations and the need to introduce some key concepts and their further development. Basic concepts and statements are demonstrated on a large number of solved exercises, but it contains a number of exercises for independent practice. Several results are supplemented by dynamic animations executable in the electronic version of the textbook.

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E-book

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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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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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. 

Autor

E-book

Erik Čižmár

Textbook Automation of Laboratory Experiments in LabVIEW environment is devoted to the basics of graphical programming and shows the way how to communicate with measuring equipment and Arduino development boards in LabVIEW. The basic concepts of creating a virtual instrument and its interactive user environment are introduced. Three physical tasks are presented, the practical implementation of which takes place with the use appropriate instrumentation and LabVIEW. Practical tasks are dedicated to measuring the transmission characteristics of a low-pass RC filter, measuring the natural resonant frequency of a quartz tuning fork using the heterodyne pulse method, and mapping the magnetic field of a permanent magnet using Arduino.

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E-book

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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E-book

Miroslav Almáši (ed.)

The book of abstracts from the conference "Porous Materials for Environmental Applications 2024" is a collection of contributions of the conference participants, which contain original results of their scientific and research activities. The conference was aimed to share new findings dealing with the preparation, characterization and application of porous materials in environmental fields.

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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

Nataša Tomášková

Selected tasks and problems from biochemistry – metabolism follow biochemistry lectures on metabolism and individual metabolic pathways for students of the second and third year of the bachelor’s degree in the fields of chemistry, biology and their combinations with other fields. Scripts provide an opportunity to better understand the lectured subject matter of metabolism through the solution of tasks and problems as serve as a basis for one-hour exercises. The scripts are divided thematically into eleven chapters, and each chapter contains 10 tasks and 7 problems. At the beginning of the chapters there is a short description and explanation of the given metabolic pathway. However, when solving the tasks, the student must focus mainly on the curriculum that was presented on the given topic in the lecture. Subsequently, at the end of chapter, answers to problems are also presented. These scripts are intentionally accessible only in electronic form. The reason is the effort to continuously update and modernize individual tasks.

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E-book

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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E-book

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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E-book

Vasyl Cherlinka - Michal Gallay - Yuryi Dmytruk

The textbook is a practical guide to predictive mapping of soil types and properties in R. It bridges digital soil mapping theory with hands-on practice, covering the full workflow from data acquisition and preprocessing to validation and uncertainty quantification. Early chapters introduce the tidyverse ecosystem and the sf and terra packages for spatial data handling. Subsequent parts address modelling of categorical variables (soil types/WRB) and continuous variables (soil organic carbon) using Random Forest, Cubist, and Quantile Regression Forests. Step-by-step code examples show training/testing, feature selection, accuracy metrics, and model interpretation. Reproducibility and cartographic best practice are emphasised. A Slovakia case study demonstrates real-world application while outlining limits and generalisability. The book targets bachelor’s, master’s, and PhD students in geography, geoinformatics, environmental and agricultural sciences, as well as practitioners. Written in English, it fits international courses and mobility programmes.

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E-book

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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E-book

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

Jana Špaková Raschmanová - Zuzana Kudličková - Kvetoslava Stanková

Organic chemistry plays a key role in our lives, from the pharmaceutical industry to the production of plastics and food additives. Additionally, it is essential in biochemistry, as it deals with the basic building blocks of living organisms, such as carbohydrates, lipids, proteins, and nucleic acids. One of the best ways to teach organic chemistry and increase students' interest in the subject is through conducting school experiments. This study material presents a collection of visually striking practical experiments in organic chemistry that will help students better understand the chemical processes and techniques used in the field. This electronic study material is supplemented with visual material, allowing students to verify the results of experiments and better understand the individual procedures. At the end of each section, there are questions to help assess the acquired knowledge and encourage deeper understanding of the experiments conducted.

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E-book

Vladimír Zeleňák (ed.)

The publication contains abstracts of contributions presented at the Student Scientific Conference of the Faculty of Natural Sciences at UPJŠ in Košice, held on April 25, 2013. The event was marked by the celebration of the 50th anniversary of the Faculty of Natural Sciences at UPJŠ and was part of a series of events called ScienceFest.

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