On Stefan Banach and some of his results.
On the exchanges between Wolfgang Doeblin and Bohuslav Hostinský
We present the letters sent by Wolfgang Doeblin to Bohuslav Hostinský between 1936 and 1938. They concern some aspects of the general theory of Markov chains and the solutions of the Chapman-Kolmogorov equation that Doeblin was then establishing for his PhD thesis.
On the expansion of a function in terms of spherical harmonics in arbitrary dimensions.
On the genesis of symbolic dynamics as we know it
We trace the beginning of symbolic dynamics-the study of the shift dynamical system-as it arose from the use of coding to study recurrence and transitivity of geodesics. It is our assertion that neither Hadamard's 1898 paper, nor the Morse-Hedlund papers of 1938 and 1940, which are normally cited as the first instances of symbolic dynamics, truly present the abstract point of view associated with the subject today. Based in part on the evidence of a 1941 letter from Hedlund to Morse, we place the...
On the history of martingales in the study of randomness.
On the history of unified field theories.
On the Mathematical Work of Hans Reiter.
On the -th birthday of Semen Samsonovich Kutateladze for .
On the problem of Baer and Kolchin in the Picard-Vessiot theory
We present the history of the development of Picard-Vessiot theory for linear ordinary differential equations. We are especially concerned with the condition of not adding new constants, pointed out by R. Baer. We comment on Kolchin's condition of algebraic closedness of the subfield of constants of the given differential field over which the equation is defined. Some new results concerning existence of a Picard-Vessiot extension for a homogeneous linear ordinary differential equation defined over...
"On the Shoulders of Giants" A brief excursion into the history of mathematical programming
Similar to many mathematical fields also the topic of mathematical programming has its origin in applied problems. But, in contrast to other branches of mathematics, we don't have to dig too deeply into the past centuries to find their roots. The historical tree of mathematical programming, starting from its conceptual roots to its present shape, is remarkably short, and to quote Isaak Newton, we can say: "We are standing on the shoulders of giants". The goal of...
On viruses in graphs and digraphs.
Opět o Riemannově dzeta funkci
Origins and extensions of the -means algorithm in cluster analysis.
Origins of modern data analysis linked to the beginnings and early development of Computer Science and Information Engineering.
Otakar Borůvka died
Otto Eduard Neugebauer (1899-1990)
Je zvykem, že si připomínáme výročí narození či úmrtí významných osobností v době související s naším užíváním dekadické soustavy. Loni uplynulo od Neugebauerova narození 120 let a letos uplynulo 30 let od jeho úmrtí. Přitom ani matematici si často neuvědomují, za co vše mu vděčíme, což je jeden z důvodů pro napsání tohoto článku.
Otto' Steinfeld 1924-1990 .
Otto Varga - maďarsko-německý matematik a Praha
Na základě studia archivních materiálů dochovaných v České republice, na Slovensku, v Německu a v Maďarsku připomeneme zajímavé a u nás skoro zapomenuté osudy Otty Vargy, jehož kariéra se zrodila v meziválečném čase na Německé univerzitě v Praze a vyvrcholila po druhé světové válce v Maďarsku.
P. S. Uryson a počátky obecné topologie
Padesát let metody sdružených gradientů aneb Zvládnou počítače soustavy milionů rovnic o milionech neznámých?