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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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One of the fundamental characteristics of the magnetic state of ferromagnetic materials is the existence of a domain structure. The university textbook "MAGNETIC DOMAINS: SPECIAL PHYSICAL PRACTICE 1" is intended primarily for students of the Master's programme in Physics of Condensed Matter FKLm and for the PhD programme in Progressive Materials PMd within the profile subject Special Practice 1 at the Institute of Physical Sciences of the Faculty of Sciences of the Pavol Jozef Šafárik University in Košice. The textbook is divided into seven chapters. The first chapter is devoted to the basics of domain theory, including the history of domain observation and the specification of different types of energies in ferromagnetic body. The second chapter presents the relationship between domain structure and magnetisation processes in ferromagnetic materials The third chapter describes the different types of domain-wall interactions with the defect. The fourth chapter illustrates examples of domain structure in selected ferromagnetic body such as grain oriented and non-grain oriented electrical steels, amorphous and nanocrystalline ribbons. The fifth chapter summarises an overview of the different experimental methods used to visualise the domain structure and their advantages or disadvantages with respect to the structure of ferromagnetic materials. The last two chapters, the sixth and the seventh, are devoted to specific experimental tasks for observing the domain structure of a selected polycrystalline sample using the optical microscope Bitter powder method and the MFM (magnetic force microscopy) method. During the preparation of this undergraduate text, its individual parts were developed using the foreign language literature listed in the recommended references.
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The concept of the integral is one of the most significant concepts in mathematics as a whole. In its most primitive form, it was already used by the ancient Greeks in the creation of Euclidean geometry. However, it was only after Descartes' work on analytical geometry in 1637 that mathematicians could begin to consider the integral as a subject of analysis. Descartes' work laid the groundwork for the discovery of infinitesimal calculus by Leibniz and Newton around 1665. At that time, a great dispute arose over the priority of this discovery, dividing scholars of Germany and England into two opposing camps, each favoring their own champion. Today, we know that Newton's work on fluxions and fluents was somewhat earlier, but Leibniz's notation and approach have gained more acceptance in the mathematical world, and the symbols ∫ ∫ and d d are still used today. A brief overview of the history of the integral will be presented in Chapter 1.
Today, there is a plethora of scripts, textbooks, and books dedicated to explaining the concept of the integral. Therefore, every potential author faces the initial question of whether to write another text on this topic. Our affirmative answer to this question was driven by the students' request to find the subject matter of a part of the winter semester of the second year presented in a coherent form. The second motivation is a slightly different approach to the topic. If we consider the methods typically used in solving problems and gaining routine with a certain integral, it mainly involves the Newton-Leibniz formula, and often there is little time left to compute the definite (Riemann) integral using its definition. Therefore, we included a discussion of the Newton integral in Chapter 2, which reflects this fact and is directly related to the indefinite integral, whose various calculation methods receive relatively much attention in the previous semester. Only after that, in Chapter 3, do we build the theory of the Riemann integral, present criteria for its existence, classes of integrable functions, basic properties, and finally its relationship with the Newton integral. Questions primarily concerning geometric applications are addressed in Chapter 4, and in the final chapter, we focus on extending the Riemann integral to unbounded functions and unbounded intervals.
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Gabriel Semanišin - Emil Hutňan - Jana Oleničová
The proceedings contain abstracts of contributions from participants of the UNIFOS 2014 conference, University Information Systems in Košice, which took place from October 27 to 29, 2014.
ICT centers are important element that provide functioning and development hardware and software infrastructure at Slovak Universities. There are more differences between them in real position, management, personal sources and financing. ICT centers provide a wide range of services to large number of university users and they implement the policy of information security recently.
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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.
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Zuzana Kudličková(ed.)
Proceedings of Abstracts from the Scientific Conference with International Participation Organized on the Occasion of the 50th Anniversary of the Establishment of the Department of Organic Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice, held on June 8–10, 2016 in Košice.
The Department of Organic Chemistry was established on February 1, 1966. From its inception, the department’s development prospects have been linked to high-quality scientific research focused on the synthesis of isothiocyanates and the products of their nucleophilic additions. In addition, studies were conducted on the use of cycloaddition, cyclocondensation, and photocyclization reactions of heterocumulenes in the synthesis of heterocycles.
Currently, research at the Department of Organic Chemistry is concentrated on stereoselective syntheses of iminosugars and γ-lactam-β-lactone antibiotics, total synthesis of natural compounds and their analogues possessing a sphingoid structure, research into the synthesis of indole alkaloids from the phytoalexin group, and the synthesis of acetylcholinesterase inhibitors based on acridine and coumarin derivatives.
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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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This textbook is intended for master's degree students and is a follow-up to the Computational Physics I course studied at the bachelor's level. The content of the textbook Computational Physics II focuses on stochastic methods of solving physical problems, mainly on Monte Carlo (MC) simulation of many-particle systems.
The focus on this computationally intensive approach is motivated by the gradual increase in the computing capacities of ordinary computers as well as the introduction of high-performance computing clusters. This has led to significant progress in the development of new simulation techniques, thanks to which MC simulations have found application in various areas of research and application practice. Considering the main research focus of the department, this text is particularly devoted to the presentation of basic and more advanced MC simulation techniques applied to a simple Ising spin model in order to investigate its magnetic, thermodynamic and critical properties.
The next part is devoted to MC simulations of random processes. It focuses on the simplest but also the most basic random walk process and demonstrates its applications in financial analysis and the solution of a quantum system described by the time-dependent Schrödinger equation. The last part is dedicated to the basics of molecular dynamics, applied to simulating the classical movement of atoms in a given force field. By mastering the problems addressed in this course, students will obtain a potential tool for working out of their diploma theses, or a methodology useful for their further scientific and research practice in the field of investigating of complex systems.
The lectured topic is subsequently exercised in the form of preparing projects implemented in the freely distributable software Octave, which is easy on the user's programming skills and which students have the opportunity to familiarize themselves with in the previous study.
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E-publication
The Book of Abstracts of The 9th International Conference on Novel Materials Fundamentals and Applications, NFA 2025, contains 46 contributions from the participants of this conference. This congress is primarily focused on novel materials, ranging from theory to practical applications, with the aim of demonstrating how fundamental discoveries can lead to innovative implementations. All contributions are inspiring and professionally prepared.
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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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This university text is intended for students of chemical and ecological sciences at the Faculty of Natural Sciences of the P. J. Šafárik University in Košice and is intended to serve as a tool for experimental exercises in colloid chemistry. Colloid chemistry is an important part of the theoretical basis of the chemical sciences and belongs to the newer interdisciplinary fields of natural sciences.
It combines knowledge from physical chemistry, physics and biology, while also drawing on a solid knowledge of mathematics and other scientific disciplines. Experiments are often essential in understanding the problems of colloid chemistry, modelling ideas about the phenomena and laws involved in the discipline. This is why active participation in experimental exercises is so important and essential to mastering the material in colloid chemistry.
In selecting the tasks for these scripts, it was also necessary to respect the considerable limitations imposed by the possibilities of the laboratory instrumentation and material equipment of our department. Despite this limitation, however, they can illustrate to students the basic theoretical physicochemical principles of colloid dispersion systems and, importantly, their understanding can contribute to the understanding of some of the more important peculiarities of colloidal phenomena.
Učebný text je určený poslucháčom medziodborového štúdia v kombinácii s matematikou, jednoodborového štúdia matematiky ako aj rozširujúceho štúdia matematiky. Je zameraný na základné poznatky o deliteľnosti celých čísel, kongruenciách a aritmetických funkciách.
Autor
E-book
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.
E-book
Auxiliary teaching material for the course General Physics III – Oscillations, Waves, and Optics is intended for students of single-subject and interdisciplinary studies of physics.
The content provides a basic outline of the material covered, without detailed explanations, with an emphasis on the physical method of thinking using the simplest elements of higher mathematics. The presented text does not aim to replace the recommended textbooks, but rather to help students navigate the subject matter. Recommended literature can be found at the end of the text.
The teaching material contains the basic framework of the lectures and is supplemented and revised each year, with lectures enriched by supporting demonstration experiments.
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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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This monograph is devoted to the discussion of effective field theory based on the differential operator method, originally introduced by Honmura and Kaneyoshi in 1979, which remains actively used for theoretical studies of localized spin models of magnetism—particularly variants of the Ising model. To date, this methodology has been applied by numerous authors to investigate a wide range of systems, including crystalline systems, diluted magnetic systems, systems with random exchange interactions, amorphous magnetic materials, systems under random magnetic and crystalline fields, thin magnetic layers, magnetic systems with free surfaces, binary and ternary magnetic alloys, among others.
During my scientific career, I have collaborated with several leading experts in this field—including Prof. Kaneyoshi, with whom I completed two long-term research stays—to advance the development of the differential operator method (and consequently effective field theory). Within this research area, I have published over 40 scientific papers in prominent international physics journals. These works include both methodological advancements and significant applications that predict intriguing physical phenomena, such as multicompensation phenomena in ferrimagnets.
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