Linear programming via problem solving

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Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

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E-book

Milan Žukovič

Učebný text Počítačová fyzika I obsahovo pokrýva problematiku prednášanú v rovnomennom kurze na bakalárskom stupni študijného programu Fyzika a v kurze Aplikácia numerických metód na bakalárskom stupni študijného programu Aplikovaná informatika. Text nadväzuje na základný kurz numerických metód so zameraním na výklad základných princípov počítačového riešenia niektorých typických fyzikálnych úloh. Zahŕňa jednak oblasť deterministických metód riešenia problémov modelovaných obyčajnými a parciálnymi diferenciálnymi rovnicami ako aj oblasť stochastických Monte Carlo simulácií. Kurz Počítačová fyzika I vytvára základ pre ďalšie štúdium pokročilejších počítačových metód prednášaných na magisterskom stupni v rámci predmetu Počítačová fyzika II. V súčasnosti je používanie počítača ako nástroja riešenia reálnych fyzikálnych úloh, a v prípade študentov ako nástroja vypracovania ich záverečných bakalárskych či diplomových prác, takmer nevyhnutnosťou. To viedlo k vzniku množstva užívateľsky orientovaných softvérových balíkov v rôznych prostrediach pre riešenie širokej škály problémov. Avšak, bez dôsledného pochopenia fungovania jednotlivých počítačových techník sú tieto programy čiernymi skrinkami s množstvom úskalí a rizík pri ich používaní. Preto tento text kladie dôraz na pochopenie silných aj slabých stránok jednotlivých metód a predpokladov ich úspešného použitia.

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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

Adriana Zeleňáková

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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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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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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Andrej Mock

The structure of the animal body is extremely varied. Each species has its distinctive morphological features, which bears as a testimony to long-term development and belonging to the developmental lineage. At the same time, the body has been tested for a long time by natural conditions, resulting in unique adaptations to the environment and life strategy. Despite this admirable variety - which includes both recent and fossil animals and which we have far from mapped – a comparison of body parts brings knowledge we can generalize: the main building principles, and boundaries within which phenotypic diversity is realized.

Comparative animal morphology today uses the latest methodological material and knowledge from other disciplines, from genetics, molecular biology and experimental embryology, through progressive imaging methods (e.g. electron microscopy, computer micro-tomography) and the possibilities of subsequent software processing of image material (measurement, staining, etc.) to the view of physics, chemistry, statics and geometry on the structures (to nanostructures) of the living body. Detailed knowledge of historical and contemporary conditions on Earth is an important interpretative context in the study of animal morphology. Surprisingly, the knowledge accumulated after centuries of research is now rapidly supplemented by new knowledge, and often the traditional knowledge is subsequently reinterpreted. Finally, and no less important, in studying animal (and human) morphology, we learn surprising knowledge about ourselves.

The author of the presented textbook had the ambition in a simplified form to introduce the reader, especially the student of biological studies, into a dynamic and fascinating scientific discipline, as the current comparative animal morphology is.

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Ondrej Krídlo

University textbooks present the basics of knowledge systems, which are divided into two parts. The first part of the publication is devoted to the basis of Formal Concept Analysis, ie the method of data analysis, knowledge representation and information processing, which is based on the formalization of the concept. In the second part we deal with the basics of logic programming, procedural semantics of logic programming, ie programs - theories, questions, SLD-derivation, SLD-tree, search strategies.

University textbooks are intended for students of master's degree programs in computer science.

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Martin Bačkor - Silvia Mihaličová (eds.)

Proceedings of the 11th Conference of Doctoral Students in Experimental Plant Biology and the 13th Conference on Experimental Plant Biology, Košice, September 9–13, 2013

13th Conference of Experimental Plant Biology (Sections)

1. Cell Biology and Cytology: Michal Martinka
2. Developmental Biology and Morphogenesis: Alexander Lux
3. “Omics” – Genomics, Transcriptomics, and Proteomics: Boris Vyskot
4. Hormonal Regulation of Plant Growth and Development: Jana Albrechtová
5. Photosynthesis, Assimilate Production, and Transport: Jiří Šantrůček
6. GMOs and Plant Biotechnology: Eva Čellárová
7. Biophysical Signals and Optical Properties of Plants: Jan Nauš Stress
8. Physiology: Ľudmila Slováková
9. Plant Interactions with Organisms: Martin Bačkor
10. Water and Mineral Nutrition of Plants: Miroslav Repčák
11. Productive Biology of Plants and Agriculture: Václav Hejnák
12. Ecological Plant Biology and Global Climate Change: Michal Marek

11th Days of Doctoral Students in Experimental Plant Biology (Sections)

1. Molecular & Cell Genetics: Viktor Žárský
2. Developmental Biology: Alexander Lux
3. Biochemistry & Physiology: Jiří Šantrůček
4. Systematics & Evolution: Jana Albrechtová
5. Ecophysiology: Jana Albrechtová

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Miroslav Almáši

The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2023“ 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 can be divided according to content into the fields of analytical, inorganic, organic, physical chemistry, biochemistry, didactics of chemistry, and NMR spectroscopy.

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E-book

Jana Shepa  (ed.)

The book of abstracts from 8th International Conference on Novel Materials: Fundamentals and Applications, NFA 2023 is composed of contributions from the participants of this international conference. The conference consisted of 6 invited lecture and 38 abstracts of participants. The conference is focused on novel materials and its application in various research areas. All contributions are professionally processed and inspiring.

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Norbert Kopčo

Neuroscience is an interdisciplinary field of science at the interface of biological, psychological and computer sciences, which aims to describe the functioning of the brain and mind. Computational and cognitive neuroscience are subfields of neuroscience focused on the study of information processing in the human and animal nervous systems, and on the theoretical description of the brain and mind. This university textbook contains several assignments that provide an overview of the methods used in computational and cognitive neuroscience, with an emphasis on mathematical modeling and on the behavioral study of cognitive processes. The textbook builds on the author's previous works.

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Soňa Király (ed.)

The book of abstracts from International Meeting on Advanced Materials, IMAM 2025, is composed of contributions from participants of this conference. The conference consisted of 16 lectures by mentioned conference participants. The conference is focused on advanced materials and its application in various research areas. All contributions are professionally processed and inspiring.

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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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Mariana Budovská

The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.

The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).

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Ivan Potočňák

The script is a study literature for the subject Chemical Calculations, which is a mandatory course in the bachelor's degree programs in Chemistry and Chemistry – Interdisciplinary Studies, first year. The script contains 10 chapters with a total of 207 pages, guiding students through solved and unsolved examples to help them understand the subject matter.

Author

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Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

Download the e-book for free (pdf)

E-book

Milan Žukovič

Učebný text Počítačová fyzika I obsahovo pokrýva problematiku prednášanú v rovnomennom kurze na bakalárskom stupni študijného programu Fyzika a v kurze Aplikácia numerických metód na bakalárskom stupni študijného programu Aplikovaná informatika. Text nadväzuje na základný kurz numerických metód so zameraním na výklad základných princípov počítačového riešenia niektorých typických fyzikálnych úloh. Zahŕňa jednak oblasť deterministických metód riešenia problémov modelovaných obyčajnými a parciálnymi diferenciálnymi rovnicami ako aj oblasť stochastických Monte Carlo simulácií. Kurz Počítačová fyzika I vytvára základ pre ďalšie štúdium pokročilejších počítačových metód prednášaných na magisterskom stupni v rámci predmetu Počítačová fyzika II. V súčasnosti je používanie počítača ako nástroja riešenia reálnych fyzikálnych úloh, a v prípade študentov ako nástroja vypracovania ich záverečných bakalárskych či diplomových prác, takmer nevyhnutnosťou. To viedlo k vzniku množstva užívateľsky orientovaných softvérových balíkov v rôznych prostrediach pre riešenie širokej škály problémov. Avšak, bez dôsledného pochopenia fungovania jednotlivých počítačových techník sú tieto programy čiernymi skrinkami s množstvom úskalí a rizík pri ich používaní. Preto tento text kladie dôraz na pochopenie silných aj slabých stránok jednotlivých metód a predpokladov ich úspešného použitia.

Download the e-book for free (pdf)

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.

Download the e-book for free (pdf)

E-book

Adriana Zeleňáková

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.

Download the e-book for free (pdf)

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.

Download the e-book for free (pdf)