DML-CZ: The Experience of a Medium-Sized Digital Mathematics Library

The Czech Digital Mathematics Library, one of the local digital mathematics libraries (DML) that have emerged world-wide in the last decade is presented. Authors survey basic facts about the project: its goals and how they were met, its structure, content and services offered to users, the experience from the first three years of routine operation in modest conditions, and visions of further development. It is believed that such local DMLs can form feasible building blocks for the envisioned global DML

From Pixels and Minds to the Mathematical Knowledge in a Digital Library

summary:Experience in setting up a workflow from scanned images of mathematical papers into a fully fledged mathematical library is described on the example of the project Czech Digital Mathematics Library DML-CZ. An overview of the whole process is given, with description of all main production steps. DML-CZ has recently been launched to public with more than 100,000 digitized pages

Recent Developments in Digital Mathematics Libraries

The paper presents recent developments in the domain of digital mathematics libraries towards the envisioned 21st Century Global Library for Mathematics. The Bulgarian Digital Mathematical Library BulDML and the Czech Digital Mathematical Library DML-CZ are founding partners of the EuDML Initiative and through it contribute to the sustainable development of the European Digital Mathematics Library EuDML and to the global advancements in this area.The Fourth International Conference on Digital Presentation and Preservation of Cultural and Scientific Heritage—DiPP2014 is supported by the Ministry of Education and Science and is under the patronage of UNESCO

Weighted estimates for the averaging integral operator

Let 1 satisfying: \hskip-5cm \begin{align} (\star)\qquad &v(x)x^{\rho} \text{is equivalent to a non-decreasing function on}\ (0,+\infty)\nonumber\\ &\text{for some}\ \rho \ge 0;\nonumber \end{align}\[ \qquad [w(x)x]^{1/q}\approx [v(x)x]^{1/p} \quad \text{for all } x\in(0,+\infty). \] We prove that if the averaging operator (Af)(x):=\frac1x\int_0^x f(t)\,dt$,$x \in (0,+\infty)$, is bounded from the weighted Lebesgue space$L^p((0,+\infty);v)$into the weighted Lebesgue space$L^q((0,+\infty);w)$, then there exists$\varepsilon_0\in(0,p-1)$such that the operator$A$is also bounded from the space$L^{p-\varepsilon}((0,+\infty);v(x)^{1+\delta}x^\gamma)$into the space$L^{q-\varepsilon q/p}((0,+\infty);w(x)^{1+\delta}x^{\delta(1-q/p)}x^{\gamma q/p})$for all$\varepsilon, \delta, \gamma\in[0,\varepsilon_0). Conversely, assuming that the operator \[A : L^{p-\varepsilon}((0,+\infty);v(x)^{1+\delta}x^\gamma)\rightarrow L^{q-\varepsilon q/p}((0,+\infty);w(x)^{1+\delta}x^{\delta(1-q/p)}x^{\gamma q/p}) \] is bounded for some \varepsilon\in[0,p-1)$,$\delta\ge0$and$\gamma\ge0$, we prove that the operator$A$is also bounded from the space$L^p((0,+\infty);v)$into the space$L^q((0,+\infty);w)$. In particular, our results imply that the class of weights$v$for which ($\star$) holds and the operator$A$is bounded on the space$L^p((0,+\infty);v)$possesses similar properties to those of the$A_p$-class of B. Muckenhoupt

Institutional financing principles

The system of funding research institutions from public resources in the Czech Republic has undergone a complicated development since 1990 and, particularly during the last decade, arrived at a very unsatisfactory state. The decision process about which organisations should receive institutional support for R&D, and at which level, lacks strategic information. It relies on mere mechanical recording of outputs, with the rules changing every year, and ad hoc measures must then compensate for serious flaws. One of the main goals of the Individual National Project “Effective Evaluation and Financing System for Research, Development and Innovation” is to propose mechanisms for effective public funding of research institutions based on a new evaluation system and emphasizing excellence, motivation and medium-term stability

Czech Digital Mathematics Library DML-CZ

The aim of the paper is to explain principles of the digital library and processes and methods of its creation, with special consideration of requirements of mathematics, and to present Czech Digital Mathematics Library representing the solution of the project supported in frames of the R&D programme Information Society