Elementárna teória čísel 1. časť

Michal Jaščur -Michal Hnatič

In the textbook, the processes belonging to an area of  nonequilibrium physics, which make the basis for the study and analysis of compex phenomena  of statistical mechanics, are described. The Boltzmann equation for distribution function is derived and on this basis the hydrodynamic equations are constructed.  Stochastic processes are described separately and Fokker-Planck equation for density probability  is derived. Textbook is intended for the students of second year of master study at Faculty of Science of P. J. Šafarik University.   

Autors

E-book

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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E-publication
Soňa Király

The Book of Abstracts of the institutional conference Novel Trends in Chemistry, Research and Education 2025 consists of 88 contributions that reflect the current scientific direction and disciplinary diversity of chemical research at our faculty. The publication is divided into several chapters, including abstracts of 6 invited lectures, 4 plenary lectures, and thematically oriented sessions covering a broad spectrum of chemical disciplines. A total of 78 abstracts are included within the sections.

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Peter Kollár a kol. 

Skriptá Základné fyzikálne praktikum II. sú určené pre študentov Prírodovedeckej fakulty UPJŠ v Košiciach študujúcich na študijných programoch fyzika a medziodborových programoch v kombinácii s fyzikou. Obsahom skrípt sú úlohy z elektriny, magnetizmu a optiky. Podľa študijných programov sú zaradené do 3.semestra bakalárskeho štúdia, v ktorom by už študenti mali mať absolvovaný predmet všeobecná fyzika II. (elektrina a magnetizmus). Súčasťou každej úlohy sú základné poznatky venované javom, ktoré sú obsahom samotnej úlohy.

Autori