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Detection codes in railway interlocking systems

Kárná, Lucie, Klapka, Štěpán (2013)

Applications of Mathematics 2013

This paper describes a model of influence of random errors on the safety of the communication. The role of the communication in railway safety is specified. To ensure a safe communication, using of safety code is important. The most important parameter of the safety code is the maximal value of the probability of undetected error. Problems related with computing of this value are outlined in the article. As a model for the information transmission the binary symmetrical channel is introduced. ...

Differential algebraic equations of Filippov type

Biák, Martin, Janovská, Drahoslava (2015)

Application of Mathematics 2015

We will study discontinuous dynamical systems of Filippov-type. Mathematically, Filippov-type systems are defined as a set of first-order differential equations with discontinuous right-hand side. These systems arise in various applications, e.g. in control theory (so called relay feedback systems), in chemical engineering (an ideal gas--liquid system), or in biology (predator-prey models). We will show the way how to extend these models by a set of algebraic equations and then study the resulting...

Digitization of Mathematical Editions in Serbia

Mijajlović, Žarko, Ognjanović, Zoran (2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

We describe an ongoing project carried out by the Mathematical Institute of Serbian Academy of Sciences and Arts, and the Faculty of Mathematics, Belgrade. The project concerns building of electronic resources and presentations of electronic editions of mathematical works in Serbia, including retro-digitization of old books, articles and the other mathematical works, and development of the corresponding virtual library. The resources built in the project are freely accessible through Internet.

Dimension reduction for incompressible pipe and open channel flow including friction

Ersoy, Mehmet (2015)

Application of Mathematics 2015

We present the full derivation of a one-dimensional free surface pipe or open channel flow model including friction with non constant geometry. The free surface model is obtained from the three-dimensional incompressible Navier-Stokes equations under shallow water assumptions with prescribed "well-suited" boundary conditions.

DML-CZ Metadata Editor

Bartošek, Miroslav, Kovář, Petr, Šárfy, Martin (2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

The aim of the DML-CZ project (2005–2009 — Czech Academy of Sciences, Masaryk University in Brno, Charles University in Prague, Czech Republic) is to investigate, develop and apply techniques, methods and tools that would allow the creation of the Czech Digital Mathematics Library. The most important tool developed and used in the course of the project is the Metadata Editor — a complex web-based system supporting all essential steps in the development of the article oriented digital library: integration...

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