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Foreword: Akademijin Zavod u Bjelovaru organizirao je 26. studenoga 2009. znanstveno savjetovanje pod nazivom Bjelovarsko-bilogorska županija: razvoj temeljen na znanju. Sedam izlaganja s tog znanstvenog savjetovanja, te prikazi i osvrti, objavljeno je u trećem broju časopisa Radovi Zavoda za znanstvenoistraživački i umjetnički rad u Bjelovaru (2009.). Rezultati znanstvenih istraživanja omogućila su sagledavanje gospodarskog, obrazovnog i kulturnog stanja i razvoja temeljenog na znanju u Bjelovarsko-bilogorskoj županiji.
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Two feuilletons by Andriy Lubka loosely connected with Bruno Schulz and published earlier in Kontrakty.ua and Day.kyiv.ua.
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Two feuilletons by Andriy Lubka loosely connected with Bruno Schulz and published earlier in Kontrakty.ua and Day.kyiv.ua.
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Mathematics as a tool of human thinking. A look at the era of the start of mathematics as a science. Causal reasoning and it’s evolution. Ancient Greece and it’s contribution to causal reasoning. The parallel between phylogeny and ontogeny. Problems with the present state of bringing up and education of young people and the need to improve it. The need to change the transmisive way of teaching science as a subject to a constructivist approach.
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The aim of this work was to search for the presence of the golden number Φ in selected Mozarťs piano sonatas. For this purpose, we have examined the thematic structure of the first movement of such sonatas. Furthermore, taking the relationship between the golden ratio and the Fibonacci Series into account, we have performed a spectral analysis of musical signals obtained by sonatas, in order to find a possible link between the main spectral peaks of frequency and consecutive Fibonacci numbers. Our results "mathematically" confirm the high sense of proportions in Mozart, and that the most pleasing proportion Φ is reached in some particular works (K 333, K 448 and K 457), but not in other pieces, like K 310.
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