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Pavle Papić
Pavle Papić (1919, Antofagasta – 2005, Zagreb) was a Croatian mathematician. Papić graduated mathematics from the University of Zagreb where in 1953 he received his doctorate degree in mathematics under the supervision of Đuro Kurepa. From 1966 until 1968 he was a Dean (education), dean of Faculty of Natural Sciences and Mathematics at the University of Zagreb, from 1968 until 1974 a director of Institute of Mathematics in Zagreb. Since 1977 he was a corresponding member of the Yugoslav Academy of Arts and Sciences and since 1994 a corresponding member of the Croatian Academy of Arts and Sciences. His interests were in set theory and general topology. He found necessary and sufficient conditions for metrizability and orderability of pseudometric space, pseudometric and ultrametric space, ultrametric spaces. References {{DEFAULTSORT:Papic, Pavle 1919 births 2005 deaths Croatian mathematicians Faculty of Science, University of Zagreb alumni Yugoslav mathematicians ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antofagasta
Antofagasta () is a port city in northern Chile, about north of Santiago. It is the capital of Antofagasta Province and Antofagasta Region. According to the 2015 census, the city has a population of 402,669. After the Spanish American wars of independence, Bolivia claimed Antofagasta as part of its territory. Despite having an overwhelmingly ethnic Chilean population, Chile recognised Bolivian sovereignty of Antofagasta in 1866, but in 1879 Chile recanted its recognition of Bolivian sovereignty citing a Bolivian breach of the latest boundary treaty. Antofagasta was captured by Chile in February 14 1879 triggering the War of the Pacific (1879–83). Chilean sovereignty was officially recognised by Bolivia under the terms of the 1904 Treaty of Peace and Friendship. The city of Antofagasta is closely linked to mining activity, being a port and the chief service hub for one of Chile's major mining areas. While silver and saltpeter mining have been historically important for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
General Topology
In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The fundamental concepts in point-set topology are ''continuity'', ''compactness'', and ''connectedness'': * Continuous functions, intuitively, take nearby points to nearby points. * Compact sets are those that can be covered by finitely many sets of arbitrarily small size. * Connected sets are sets that cannot be divided into two pieces that are far apart. The terms 'nearby', 'arbitrarily small', and 'far apart' can all be made precise by using the concept of open sets. If we change the definition of 'open set', we change what continuous functions, compact sets, and connected sets are. Each choice of definition for 'open set' is called a ''t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Croatian Mathematicians
Croatian may refer to: *Croatia , image_flag = Flag of Croatia.svg , image_coat = Coat of arms of Croatia.svg , anthem = "Lijepa naša domovino"("Our Beautiful Homeland") , image_map = , map_caption = , capit ... * Croatian language * Croatian people * Croatians (demonym) See also * * * Croatan (other) * Croatia (other) * Croatoan (other) * Hrvatski (other) * Hrvatsko (other) * Serbo-Croatian (other) {{disambiguation Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2005 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1919 Births
Events January * January 1 ** The Czechoslovak Legions occupy much of the self-proclaimed "free city" of Pressburg (now Bratislava), enforcing its incorporation into the new republic of Czechoslovakia. ** HMY ''Iolaire'' sinks off the coast of the Hebrides; 201 people, mostly servicemen returning home to Lewis and Harris, are killed. * January 2– 22 – Russian Civil War: The Red Army's Caspian-Caucasian Front begins the Northern Caucasus Operation against the White Army, but fails to make progress. * January 3 – The Faisal–Weizmann Agreement is signed by Emir Faisal (representing the Arab Kingdom of Hejaz) and Zionist leader Chaim Weizmann, for Arab–Jewish cooperation in the development of a Jewish homeland in Palestine, and an Arab nation in a large part of the Middle East. * January 5 – In Germany: ** Spartacist uprising in Berlin: The Marxist Spartacus League, with the newly formed Communist Party of Germany and the Independent Social De ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Miroslav Krleža Institute Of Lexicography
The Miroslav Krleža Institute of Lexicography ( hr, Leksikografski zavod Miroslav Krleža or LZMK) is Croatia's national lexicographical institution. Based in Zagreb, it was originally established in 1950 as the national lexicographical institute of the Socialist Federal Republic of Yugoslavia. It was renamed after its founder, the Croatian writer Miroslav Krleža, in 1983. History The institute was founded in 1950 as the Lexicographical Institute of the Federal People's Republic of Yugoslavia (''Leksikografski zavod FNRJ'') and was renamed the Yugoslav Lexicographical Institute (''Jugoslavenski leksikografski zavod'', ''JLZ'') in 1964. Its founder and longtime director was writer Miroslav Krleža, with Mate Ujević as the chief editor. It was based in Zagreb, with branches in Ljubljana and Belgrade. After Krleža's death in 1981, the institute was renamed as the Yugoslav Lexicographical Institute "Miroslav Krleža" (''Jugoslavenski leksikografski zavod "Miroslav Krleža"'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Croatian Encyclopedia
The ''Croatian Encyclopedia'' ( hr, Hrvatska enciklopedija) is a Croatian national encyclopedia published by the Miroslav Krleža Institute of Lexicography. Overview The project began in 1999, and it represents a fifth iteration of the encyclopedic tradition that was established by Mate Ujević Mate Ujević (13 July 1901 – 6 January 1967) was a Croatian poet and encyclopedist. Life Ujević was born in Krivodol (part of Podbablje near Imotski) in the Kingdom of Dalmatia (present-day Croatia). He received his secondary education ...'s '' Croatian Encyclopedia'', and continued in the '' Encyclopedia of the Lexicographical Institute'', as well as the two editions of the ''General Encyclopedia''. Eleven volumes were published in the period 1999-2009, with a new volume appearing every year. Since 2010, the Internet edition of the encyclopedia was prepared, updated and enriched with new multimedia content. The free Internet edition of the ''Croatian Encyclopedia'' has bee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ultrametric Space
In mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to d(x,z)\leq\max\left\. Sometimes the associated metric is also called a non-Archimedean metric or super-metric. Although some of the theorems for ultrametric spaces may seem strange at a first glance, they appear naturally in many applications. Formal definition An ultrametric on a set is a real-valued function :d\colon M \times M \rightarrow \mathbb (where denote the real numbers), such that for all : # ; # (''symmetry''); # ; # if then ; # (strong triangle inequality or ultrametric inequality). An ultrametric space is a pair consisting of a set together with an ultrametric on , which is called the space's associated distance function (also called a metric). If satisfies all of the conditions except possibly condition 4 then is called an ultrapseudometric on . An ultrapseudometric space is a pair consisting of a set and an ultrapseudometric on . In the case ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pseudometric Space
In mathematics, a pseudometric space is a generalization of a metric space in which the distance between two distinct points can be zero. Pseudometric spaces were introduced by Đuro Kurepa in 1934. In the same way as every normed space is a metric space, every seminormed space is a pseudometric space. Because of this analogy the term semimetric space (which has a different meaning in topology) is sometimes used as a synonym, especially in functional analysis. When a topology is generated using a family of pseudometrics, the space is called a gauge space. Definition A pseudometric space (X,d) is a set X together with a non-negative real-valued function d : X \times X \longrightarrow \R_, called a , such that for every x, y, z \in X, #d(x,x) = 0. #''Symmetry'': d(x,y) = d(y,x) #''Subadditivity''/''Triangle inequality'': d(x,z) \leq d(x,y) + d(y,z) Unlike a metric space, points in a pseudometric space need not be distinguishable; that is, one may have d(x, y) = 0 for distinct val ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Set Theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of '' naive set theory''. After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox) various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zagreb
Zagreb ( , , , ) is the capital (political), capital and List of cities and towns in Croatia#List of cities and towns, largest city of Croatia. It is in the Northern Croatia, northwest of the country, along the Sava river, at the southern slopes of the Medvednica mountain. Zagreb stands near the international border between Croatia and Slovenia at an elevation of approximately above mean sea level, above sea level. At the 2021 census, the city had a population of 767,131. The population of the Zagreb urban agglomeration is 1,071,150, approximately a quarter of the total population of Croatia. Zagreb is a city with a rich history dating from Roman Empire, Roman times. The oldest settlement in the vicinity of the city was the Roman Andautonia, in today's Ščitarjevo. The historical record of the name "Zagreb" dates from 1134, in reference to the foundation of the settlement at Kaptol, Zagreb, Kaptol in 1094. Zagreb became a free royal city in 1242. In 1851 Janko Kamauf became Z ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Croatian Academy Of Arts And Sciences
The Croatian Academy of Sciences and Arts ( la, Academia Scientiarum et Artium Croatica, hr, Hrvatska akademija znanosti i umjetnosti, abbrev. HAZU) is the national academy of Croatia. HAZU was founded under patronage of the Croatian bishop Josip Juraj Strossmayer under the name ''Yugoslav Academy of Sciences and Arts'' (, abbrev. JAZU) since its founder wanted to make it the central scientific and artistic institution of all South Slavs. Today, its main goals are encouraging and organizing scientific work, applying the achieved results, development of artistic and cultural activities, carrying about the Croatian cultural heritage and its affirmation in the world, publishing the results of scientific research and artistic creativity and giving suggestions and opinions for the advancement of science and art in areas of particular importance to Croatia. The academy is divided into nine classes; social sciences, mathematical, physical and chemical sciences, natural sciences, medic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
