Workshop on Quantum Magnetism: Theoretical Challenges and Future Perspectives

E-book

Ľubomír Antoni-Stanislav Krajči

An important part of theoretical computer science is the problem of Turing machines. This computational model has two basic properties: like any other computational program, the software of a Turing machine is composed of instructions, but in its case they are all of a single type. Every other (so far known) computer program can be transformed into a Turing machine program without loss of information. While the second feature reduces the question of what a calculator cannot do to the question of what a Turing machine cannot do, the first feature allows a much simpler investigation of such a question. Using this computational model, we can thus find concrete problems that no automaton can ever deal with (perhaps the most famous is the problem of the Turing machine stopping). Their existence demonstrates the fundamental limitations of (not only ideal) computational means, and thus encourages both criticality and humility in our thinking.

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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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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

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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Danica Studenovská a kol. 

Táto zbierka úloh je určená poslucháčom Prírodovedeckej fakulty UPJŠ, ktorí sa v rámci predmetu Matematika I. zoznamujú s pojmami funkcie, limity, derivácie, integrálu a ich aplikáciami. Ide najmä o študentov nematematických odborov a učiteľských kombinácií, avšak táto zbierka je vhodná aj pre iných študentov a záujemcov o základy matematickej analýzy.

Autori

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Jozef Bednarčík (ed.)

The SFEL school is continuation of the Winter Schools of Synchrotron radiation held in 2011, 2013, 2014 and SFEL 2017, 2018 and 2019. All schools of the series were held here, in Liptovský Ján, where our conference venue offers conditions for friendly and creative atmosphere.

The aim of the SFEL 2022 school is to facilitate the growth of a new Slovak research community with high expertise in the area of high-efficiency RTG laser, synchrotron and neutron sources. The SFEL school is designed for efficient transfer of the rapidly developing know-howin these areas to young generation – researchers and university students. The next aim of the SFEL2022 is strengthening of personal connections between the local Slovak research community and actually forming scientific teams of XFEL users, scientific teams of synchrotron or neutron sources users, respectively.

Slovak research community thus can take advantage of the fact that Slovakia is a shareholder of the European XFEL GmbH company in Hamburg, but also makes more efficient use of other closely related scientific facilities, including ILL and ESRF in Grenoble and DESY in Hamburg.

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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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Jana Šandrejová - Andrea Gajdošová (eds.)

The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2024“ is a summary of the contributions of conference participants, which contain the original results of their scientific and research activities. The contributions published in this volume are divided according to content into the fields of analytical, inorganic, organic, physical chemistry, biochemistry and didactics of chemistry.

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Mária Ganajová

The current teaching of chemistry has its specific problems. On one hand, due to the shift of the focus of chemistry curriculum towards theoretical content, the difficulty of chemistry material has increased, and in connection with this, students' interest in chemistry has decreased.

The lack of student interest in chemistry is mostly supported by the opinion that it is precisely chemistry that significantly contributes to the deterioration of environmental quality. On the other hand, we live in an era where we encounter chemical products practically everywhere. It is necessary to learn the basics of chemistry as well as possible, which makes the question of increasing interest in chemistry education and improving its effectiveness very relevant. State educational programs have been introduced into Slovak schools as a foundation for the creation of school educational programs. These emphasize not only acquiring a certain amount of knowledge but also the development and enhancement of key and specific competencies of students, preparing them for lifelong learning and their application in life.

Therefore, increasing attention is being paid to one of the fundamental didactic tools for raising student activity in teaching, and thus improving the effectiveness of chemistry education – learning tasks. From both theory and practice of chemistry teaching, we know that learning tasks, questions, examples, exercises, etc., are among the important components of every teaching lesson. Learning tasks are applied in all phases of teaching – in the motivational phase, the phase of acquiring knowledge, the phase of consolidating knowledge, and the phase of checking the acquired knowledge. It is therefore clear that every teacher will sooner or later find themselves in a situation where they will have to select learning tasks from textbooks, workbooks, collections of problems and examples, or create them themselves.

This scientific monograph is intended for educational specialists and chemistry teachers, aiming to familiarize them with examples of various types and forms of learning tasks and the basics of their creation in chemistry. It can also be helpful for them in preparing certification works focused on test creation and their statistical evaluation.

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Peter Fedoročko a kol. 

Vysokoškolský učebný text Prírodovedeckej fakulty UPJŠ.

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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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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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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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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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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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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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Ľubomír Antoni-Stanislav Krajči

An important part of theoretical computer science is the problem of Turing machines. This computational model has two basic properties: like any other computational program, the software of a Turing machine is composed of instructions, but in its case they are all of a single type. Every other (so far known) computer program can be transformed into a Turing machine program without loss of information. While the second feature reduces the question of what a calculator cannot do to the question of what a Turing machine cannot do, the first feature allows a much simpler investigation of such a question. Using this computational model, we can thus find concrete problems that no automaton can ever deal with (perhaps the most famous is the problem of the Turing machine stopping). Their existence demonstrates the fundamental limitations of (not only ideal) computational means, and thus encourages both criticality and humility in our thinking.

Download e-book for free (pdf)

E-book

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

Download the 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

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.

Download the e-book for free (pdf)

Danica Studenovská a kol. 

Táto zbierka úloh je určená poslucháčom Prírodovedeckej fakulty UPJŠ, ktorí sa v rámci predmetu Matematika I. zoznamujú s pojmami funkcie, limity, derivácie, integrálu a ich aplikáciami. Ide najmä o študentov nematematických odborov a učiteľských kombinácií, avšak táto zbierka je vhodná aj pre iných študentov a záujemcov o základy matematickej analýzy.

Autori