Matematická analýza 1

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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.

Download e-book for free (pdf)

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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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E-book

Tomáš Samuely

Today, scanning probe microscopes are standard tools in materials science, physics, chemistry, biology, and engineering. Thousands of these microscopes are in operation worldwide and are at least as common and popular as scanning electron microscopes.

Despite the vast number of newer scanning probe microscopy techniques, classical STM remains a significant and irreplaceable method, widely used, for example, in solid-state research. In this text, we will focus on both traditional and innovative STM techniques that are available and utilized in the laboratories of the Center for Low Temperature Physics in Košice.

Download e-book for free (pdf)

E-book

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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Ivana Šišoláková - Radka Gorejová - Jana Shepa - Renáta Oriňaková

The university textbook "Advanced Electrochemical Methods" is a teaching aid intended for master's or doctoral students studying electrochemical subjects at the Department of Physical Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice.

These textbooks follow and further develop textbooks focused on the basic electrochemical methods currently used in modern research. The presented teaching texts are processed in sixteen clear chapters, where they provide a theoretical principle and derivation of electrochemical processes and mechanisms in individual methods. Teaching texts also consist of practical laboratory exercises, in which students can try out the real application of the studied electrochemical methods.

The practical tasks are focused primarily on the demonstration of research that is carried out at our workplace. Students will be able to try, for example, electrochemical modification of the electrode surface, preparation of electrochemical sensors for the determination of analytes, preparation and characterization of a dye-sensitized solar cell or electrochemical evolution of hydrogen.

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Marián Kireš - Renáta Orosová a kol.

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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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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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Andrea Morovská Turoňová - Renáta Oriňaková - František Kaľavský 

The university textbooks "Practical Exercises in Physical Chemistry" are intended as teaching literature for students of the 2nd year of the Chemistry study program and the 3rd year of the interdisciplinary study program at the Faculty of Science of the Pavel Jozef Šafárik University in Košice.

The three chapters summarize the basic knowledge of thermodynamics, electrochemistry and kinetics, the next chapter deals with the measurement of some other physico-chemical quantities. The tasks developed on the basis of cooperation with the Criminalistics and Expertise Institute of the Police in Košice, which also participates in the innovation of practical teaching, are also very attractive and interesting for students. Thematic units are updated and supplemented by new knowledge, principles as well as detailed working procedures using new instrumentation.

The aim of laboratory exercises in physical chemistry is to illustrate and confirm the physicochemical laws and correlations that apply to the quantitative description of chemical phenomena. Students will learn to use instruments and equipment that occur in physico-chemical laboratories, they will learn the principles of accurate and correct quantitative measurement of physical quantities, important from a chemical point of view. They can also develop professional and scientific communication skills, and we want to support their creative approach to making measurement protocols.

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Peter Paľove-Balang

The text ‘Uptake and transport of mineral substances in plants’ in Slovak language provides a general overview of the uptake and distribution of substances in an easy-to-understand form.

The individual chapters introduce students to the properties of the soil environment, which have a significant influence on the availability of substances, as well as the transport of substances across membranes and over medium and long distances. The text contains the latest findings from the English literature, supplemented by diagrams and graphs created by the author on the basis of his own research or by compiling several sources.

The text is intended primarily for students of a master's degree in biology or ecology and assumes at least a basic knowledge of plant physiology.

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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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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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 Mária Kožurková - Martin Putala 

Cieľom tejto knihy je spracovať názvoslovné zásady a pravidlá, podľa ktorých sa tvoria slovenské názvy biochemických zlúčenín. Táto monografia je po dlhšom čase prvým pokusom o spracovanie tohto problému, a preto dúfame, že bude pomôckou a prínosom nielen pre študentov a učiteľov ale aj vedeckých pracovníkov. Poslúži aj študentom stredných škôl, ktorí majú záujem o biochémiu a molekulovú biológiu. Kniha obsahuje najnovšie názvoslovie, zásady a pravidlá pri tvorbe názvov biochemických zlúčenín. Kniha plne aplikuje odporúčania spoločnej komisie Medzinárodnej únie pre teoretickú a aplikovanú chémiu (IUPAC) a Medzinárodnej únie pre biochémiu a molekulárnu biológiu (IUBMB) so zahrnutím aktuálnych úprav názvoslovia, stereochémie a grafického znázornenia štruktúr podľa IUPAC. 

Autori

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Erik Čižmár

The textbook "Special Practicum II" is dedicated to describing experimental methods used for studying the magnetic properties of solid materials, especially low-dimensional and molecular magnets. It subsequently contains instructions for the practical exercise "Special Practicum II," during which master's and doctoral students use state-of-the-art commercial equipment-an electron paramagnetic resonance (EPR) spectrometer and a SQUID magnetometer.

The introductory chapter briefly describes the origin of magnetism in solids, the role of the crystal field, and magnetic interactions in explaining their magnetic properties. This is followed by an explanation of the principles of EPR, the operation of the EPR spectrometer, and the optimization of its parameters for the specific practical exercise.

The next part of the textbook is devoted to an overview of the behavior of magnetic quantities with changes in magnetic field or temperature in various types of magnets. The textbook concludes with a description of the operating principle of the SQUID magnetometer and an example of its use in a practical exercise measuring the magnetic moment.

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Vladislav Kolarčik

Flow cytometry is a diagnostic and research technique that enables rapid analysis of cells, nuclei and organelles of plants and other organisms. In plant biology, it is most often used for DNA content analysis in a wide range of applications. It is the method of first choice and its importance is even increasing compared to competing technologies. It is unrivaled in speed, accuracy, repeatability and low cost. Flow cytometry has become a standard tool in laboratories focused on biological-ecological plant research.

This textbook provides information on the historical development of flow cytometry and its establishment in the analysis of the plant genome. It describes the procedure of sample analysis to determine the nuclear DNA content and presents the basic applications, such as determination of genome size, ploidy level and reproduction modes of plants and determination of endopolyploidy level in plant tissues. These college textbooks are intended for students, teachers and anyone interested in the use of flow cytometry in scientific work with plant cells.

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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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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.

Download e-book for free (pdf)

E-book

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.

Download e-book for free (pdf)

E-book

Tomáš Samuely

Today, scanning probe microscopes are standard tools in materials science, physics, chemistry, biology, and engineering. Thousands of these microscopes are in operation worldwide and are at least as common and popular as scanning electron microscopes.

Despite the vast number of newer scanning probe microscopy techniques, classical STM remains a significant and irreplaceable method, widely used, for example, in solid-state research. In this text, we will focus on both traditional and innovative STM techniques that are available and utilized in the laboratories of the Center for Low Temperature Physics in Košice.

Download e-book for free (pdf)

E-book

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.

Download the e-book for free  (pdf)

E-book

Ivana Šišoláková - Radka Gorejová - Jana Shepa - Renáta Oriňaková

The university textbook "Advanced Electrochemical Methods" is a teaching aid intended for master's or doctoral students studying electrochemical subjects at the Department of Physical Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice.

These textbooks follow and further develop textbooks focused on the basic electrochemical methods currently used in modern research. The presented teaching texts are processed in sixteen clear chapters, where they provide a theoretical principle and derivation of electrochemical processes and mechanisms in individual methods. Teaching texts also consist of practical laboratory exercises, in which students can try out the real application of the studied electrochemical methods.

The practical tasks are focused primarily on the demonstration of research that is carried out at our workplace. Students will be able to try, for example, electrochemical modification of the electrode surface, preparation of electrochemical sensors for the determination of analytes, preparation and characterization of a dye-sensitized solar cell or electrochemical evolution of hydrogen.

Download the e-book for free (pdf)