Cell Biophysics II

E-book

Ondrej Hutník

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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E-book

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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E-book

Slávka Hamuľaková

The textbook "Structure and reactivity - solved examples and tasks, part 1" is the basis for teaching the subject "Structure and reactivity" for students of the 1st year of master's studies at the Faculty of Science, UPJŠ, department of Organic Chemistry. The textbook is divided into individual chapters, each chapter offering students examples of chemical reactions, where their course is explained on the basis of appropriate reaction mechanisms. A substantial part of the textbook consists of unresolved tasks, the main goal of which is the development of students' knowledge and skills. Due to the fact that the textbook is focused on only one semester of study, it cannot cover all reactions, rather it is only representative examples of different types of reactions, such as: addition reactions, elimination reactions, aromatic substitution, addition-elimination reactions, radical reactions and pericyclic reactions.

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E-book

Jozef Bednarčík - Hana Vargová (eds.)

The Czech and Slovak Conference on Magnetism (CSMAG) is a scientific meeting that honors a longstanding tradition initiated in Košice in 1960. Evolving from a regional gathering of the Czechoslovak magnetic community into a prominent international forum, CSMAG brings together researchers from diverse fields of magnetism. The conference covers a wide range of topics including theoretical and experimental magnetism, magnetic materials for energy and spintronics applications, low-dimensional and molecular magnets, rare-earth and actinide systems, and multifunctional materials. With contributions from over 20 countries, CSMAG’25 fosters cross-disciplinary collaboration and showcases the latest advances in both fundamental studies and practical applications of magnetic phenomena.

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E-book

Božena Mihalíková - Ján Ohriska

This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.

The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.

A good mastery of the curriculum (expansion of the mathematical apparatus and the related possibilities of applying other methods of proof as well as the acquisition of the necessary numerical skills) presupposes the use of other literary sources (textbooks, collections of problems) according to the teacher's recommendation.

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E-book

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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Matúš Harminc

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

Ivan Potočňák a kol.

The textbook represents a study literature on the subject of General chemistry, which is a compulsory subject of bachelor courses in Chemistry and Chemistry -  interdisciplinary study, the first year. This textbook contains 15 + 2 chapters in the whole range of 170 pages that follow the content of lectures and by means of examples and theoretical tasks consolidate and extend knowledge gained from lectures.

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

Pavol Mártonfi

The university textbook deals with the latest knowledge from the systematics of vascular plants in a clear manner. Vascular plants arose in the Silurian period in the Paleozoic, when the first primitive plants moved from water to dry land, which required evolutionary progress in the morphological and anatomical structure of these plants. During about 420 million years of the existence of vascular plants, several of their main groups have evolved: the spore vascular plants, including the lycopods (branch Lycopodiophyta) and group of ferns and related plants (branch Monilophyta), and the seed plants, including gymnosperms (branch Gymnospermae) and angiosperms ( Angiospermae), which currently dominate among plants. The textbook provides a brief but comprehensive overview of the main groups, orders and families of plants with their description, distribution, main representatives, while also addressing the useful properties of selected species. The work is complemented by an overview of the system of plants by Cronquist, Tachtadžjan, APG and an overview of the families of the Slovak flora, as well as a taxonomic index.

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E-book

Dušan Barabas a kol.

The presented text is the final product of work within the project "Tanuljunk egymástól!/Let’s Learn from Each Other!" The project emerged from long-standing contacts between the staff of the Centre for Regional Studies of the Hungarian Academy of Sciences and the Institute of Geography at the Faculty of Science, Pavol Jozef Šafárik University in Košice, as a natural effort to expand mutual cooperation. The first step was collaboration within Interreg II projects, involving a broad range of institutions from both academic and non-academic environments. This initial attempt was unsuccessful due to administrative errors. Consequently, a project titled HUSK/0801/1.6.1/0003 "Tanuljunk egymástól!/Let’s Learn from Each Other!" was prepared and developed in agreement with the Hungarian side. It was approved and co-financed by the European Regional Development Fund under the Hungary-Slovakia Cross-Border Cooperation Program 2007–2013.

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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-book

Stanislav Lukáč - Ľubomír Šnajder - Ján Guniš - Zuzana Ješková

The publication is intended for researchers in didactics and teachers of mathematics and computer science. Our aim is to provide readers with a basic orientation in the issue of inquiry-based teaching, to explain and demonstrate several levels of student inquiry through examples, and to offer a classification of inquiry skills.

The core part of the publication consists of methodologies for inquiry-based teaching of specific topics from school mathematics and computer science. We present ideas for implementing inquiry activities, active work with information in solving various types of problems, and the application of modern digital technologies in exploring and discovering patterns.

The publication includes seven methodologies for teaching mathematics and eight methodologies for teaching computer science in the 1st and 2nd years of secondary school.

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Prílohy

E-book

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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E-publication

Jozef Strečka-Katarína Karľová

The proceedings include the programme and abstracts of the workshop Magnetic Cooling and Frustrated Magnetism, held in Košice on October 27–29, 2025. The event is organized with the support of the French National Research Agency (ANR), the Faculty of Science of Pavol Jozef Šafárik University in Košice, and the Slovak Research and Development Agency. The workshop focuses on current challenges in quantum physics, particularly frustrated magnetism and magnetic cooling. Participants will present original research results that may significantly contribute to the development of future quantum technologies.

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E-book

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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