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Voronoi diagrams – inventor, method, applications

Abstract

The article presents the person and works of Georgy Voronoi (1868-1908), the inventor of an original method of diagrams, a student of the famous mathematician Andrey Markov. Georgy Voronoi graduated from the Department of Physics and Mathematics at the University of St. Petersburg, and subsequently worked as a professor of mathematics at the Imperial University of Warsaw. One of his students was the future outstanding Polish mathematician Wacław Sierpiński. In his brief lifetime G. Voronoi published several important scientific articles on number theory. In an almost 100 page paper in French published in 1908 he described a method of diagrams, or polygons, which became known as the method of Voronoi diagrams. In the digital age this method and its modifications found new applications. The entry “Voronoi” is getting more popular on the Internet, and the method of Voronoi diagrams and its modifications are widely described in handbooks and scientific articles. The article presents application of the method in the most popular computer programs from the Geographic Information System (GIS) group and presents examples of its usage in research on geographic space in various scientific disciplines.

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The post-80s generation in Beijing: collective memory and generational identity

Abstract

This article questions the relevance of the notion of generation to describe the cohort who lives in Beijing and who was born in the 1980s and early 1990s, after the implementation of the reforms and opening-up policy in China. The analysis relies on 627 questionnaires collected in Beijing in 2010. The sample was stratified by age and sex, and, based on quotas; it was split into five age groups (18-26 year-olds, 33-41 year-olds, 48-56 year-olds, 63-71 year-olds and 78-86 year-olds). The respondents were questioned on their perception of turning points and socio-historical changes that occurred during their lifetime. After having analysed the data in a comparative perspective, we came to conclusion that the word generation is suitable to describe the young people from Beijing born in the 1980s and early 1990s not only because they do share autobiographical and collective historical memories, but also because these memories have by and large taken place between their adolescence and entry into adulthood (supporting the hypothesis of the existence of a reminiscence bump).

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The First Catholic Bible in Chinese: Gabriele Allegra and His Translation

., Wan, S. and Walf, K. (eds.). Bible in Modern China: the Literary and Intellectual Impact. Sankt Agustin-Nettetal: Institut Monumenta Serica, pp.101-122. Zetzsche, J. O., 1999a. The Bible in China: the History of the Union Version or the Culmination of Protestant Missionary Bible Translation in China. Sankt Augustin-Nettetal: Monumenta Serica Institute. Zetzsche, J. O., 1999b. The Work of Lifetimes: Why the Union Version Took Nearly Three Decades to Complete. In Eber, I., Wan, S. and Walf, K. (eds.). Bible in Modern China: the Literary

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Body Law and the Body of Law
A Comparative Study of Social Norm Inclusion in Norwegian and American Laws
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»Monitor Yourself!« The Controlled Emotions of Spanish Office Holders in the Early Modern Period

), gained through education, virtues and the holding of office, should be preferred above that of noble blood. Castillo de Bobadilla: Política, p. 31. This was not only an allusion to the popular idea, prevalent in the Siglo de Oro, of a nobleza de letras. Pelorson: Les ›letrados‹, pp. 141–143. Of greater interest is the fact that such a ›special nature‹ of an office holder was supposed to develop over the course of a lifetime. Yet, this nature could take shape only when different elements interacted. Thus, the good corregidor should first have personal aptitudes such

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Colonial Bureaucrats, Institutional Transplants, and Development in the 20th Century

filled from starting date of 1 June 1945, Reference: CO 1017/268, internal document released in 1984, London 1953–1955. Particularly demobilized soldiers joined the colonial service. Nearly all new recruits of 1945 and 1946 had served with the armed forces. Lee, Colonial Government and Good Government, p. 36. After 1951 the recruitment figures stabilized at a high level. In total the size of the higher colonial service almost doubled in less than ten years (see Figure 1 ). With independence still far away, all new recruits were offered a lifetime employment in the

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Shadow Memorial Diplomacy: The Ronald Reagan Centennial Year in Central and Eastern Europe

Bloc by Mikhail Gorbachev (Nyitrai website video April 14, 2011). Former Foreign Minister Géza Jeszenszky echoed this sentiment in his claim that “President Reagan truly did make history; if he had not said those few sentences and done those deeds, then most likely Communism would have lasted longer than our lifetime, if not forever” (Nyitrai website video April 14, 2011). Director of the House of Terror Museum Dr. Mária Schmidt described Reagan as someone who realized the American Dream, “an ideologue who stood by his principles, and whose genuine convictions helped

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