Differential structures
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.
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.
The paper deals with locally connected continua in the Euclidean plane. Theorem 1 asserts that there exists a simple closed curve in that separates two given points , of if there is a subset of (a point or an arc) with this property. In Theorem 2 the two points , are replaced by two closed and connected disjoint subsets , . Again – under some additional preconditions – the existence of a simple closed curve disconnecting and is stated.
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...
Document interlinking is one of the prominent features that users expect from a digital library. Links may be internal (allowing easy navigation within a given literature repository) or may reference external documents living in other digital repositories, as well as the two main reviewing databases in Mathematics (namely Mathematical Reviews and Zentralblatt-MATH). We describe the linking system that has been implemented within the NUMDAM project.