Elementárna teória čísel 2. časť

E-book

Renáta Oriňáková (ed.)

Book of abstract

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E-book

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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 Mária Kožurková - Martin Putala 

Cieľom tejto knihy je spracovať názvoslovné zásady a pravidlá, podľa ktorých sa tvoria slovenské názvy biochemických zlúčenín. Táto monografia je po dlhšom čase prvým pokusom o spracovanie tohto problému, a preto dúfame, že bude pomôckou a prínosom nielen pre študentov a učiteľov ale aj vedeckých pracovníkov. Poslúži aj študentom stredných škôl, ktorí majú záujem o biochémiu a molekulovú biológiu. Kniha obsahuje najnovšie názvoslovie, zásady a pravidlá pri tvorbe názvov biochemických zlúčenín. Kniha plne aplikuje odporúčania spoločnej komisie Medzinárodnej únie pre teoretickú a aplikovanú chémiu (IUPAC) a Medzinárodnej únie pre biochémiu a molekulárnu biológiu (IUBMB) so zahrnutím aktuálnych úprav názvoslovia, stereochémie a grafického znázornenia štruktúr podľa IUPAC. 

Autori

E-book

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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