An introduction to Karel Vorovka's philosophy of randomness. (Following by two translations from the Czech. Completed by the English translation of the following documents).
This article explores the use of the euclidian algorithm as a most useful way of handling ratios, especially when good rational approximations are required. Illustrations are taken from a discussion of the analysis of greek architecture by J.J Coulton. Although this is intended as a practical account, some discussions of theoretical aspects are included, and also of the relationship of this procedure to a new interpretation of early greek mathematics.
With a growing community of researchers working on the recognition, parsing and digital exploitation of mathematical formulae, a need has arisen for a set of samples or benchmarks which can be used to compare, evaluate and help to develop different implementations and algorithms. The benchmark set would have to cover a wide range of mathematics, contain enough information to be able to search for specific samples and be accessible to the whole community. In this paper, we propose an on-line system...
Článek přibližuje vznik časopisu L’Enseignement Mathématique, který je oficiálním periodikem International Commission on Mathematical Instruction. Časopis před více než 100 lety uspořádal anketu o způsobu práce matematiků a té se zúčastnil i Matyáš Lerch. Přinášíme jeho odpovědi na vybrané otázky i některé jeho názory. Celé obsáhlé Lerchovo dílo bude přístupné i prostřednictvím DML-CZ.