Anton Kotzig
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Anton Kotzig
Anton Kotzig (22 October 1919 – 20 April 1991) was a Slovak–Canadian mathematician, expert in statistics, combinatorics and graph theory. The Ringel–Kotzig conjecture on graceful labeling of trees is named after him and Gerhard Ringel. Kotzig's theorem on the degrees of vertices in convex polyhedra is also named after him. Biography Kotzig was born in Kočovce, a village in Western Slovakia, in 1919. He studied at the secondary grammar school in Nové Mesto nad Váhom, and began his undergraduate studies at Charles University in Prague. After the closure of Czech universities in 1939, he moved to Bratislava, where in 1943 he earned a doctoral degree (RNDr.) in mathematical statistics from Comenius University in Bratislava. He remained in Bratislava working at the Central Bureau of Social Insurance for Slovakia, as the head of department of mathematical statistics. Later he published a book on economy planning. From 1951 to 1959, he lectured at Vysoká škola Ekonomic ...
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Kočovce
Kočovce ( hu, Kocsóc) is a village and municipality in Nové Mesto nad Váhom District in the Trenčín Region of western Slovakia. History In historical records the village was first mentioned in 1262. Geography The municipality lies at an altitude of 183 metres and covers an area of 15.319 km2. It has a population of about 1400 people. Genealogical resources The records for genealogical research are available at the state archive "Statny Archiv in Bratislava, Slovakia" * Roman Catholic church records (births/marriages/deaths): 1788-1896 (parish B) * Lutheran church records (births/marriages/deaths): 1792-1942 (parish B) See also * List of municipalities and towns in Slovakia This is an alphabetical list of the 2,891 Obec, obcí (singular ''obec'', "municipality") in Slovakia.
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Convex Polyhedron
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n-dimensional Euclidean space \mathbb^n. Most texts. use the term "polytope" for a bounded convex polytope, and the word "polyhedron" for the more general, possibly unbounded object. Others''Mathematical Programming'', by Melvyn W. Jeter (1986) p. 68/ref> (including this article) allow polytopes to be unbounded. The terms "bounded/unbounded convex polytope" will be used below whenever the boundedness is critical to the discussed issue. Yet other texts identify a convex polytope with its boundary. Convex polytopes play an important role both in various branches of mathematics and in applied areas, most notably in linear programming. In the influential textbooks of Grünbaum and Ziegler on the subject, as well as in many other texts in discrete geometry, convex polytopes are often simply called "polytopes". Grünbaum points out that this is solely to avoi ...
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University Of Calgary
The University of Calgary (U of C or UCalgary) is a public research university located in Calgary, Alberta, Canada. The University of Calgary started in 1944 as the Calgary branch of the University of Alberta, founded in 1908, prior to being instituted into a separate, autonomous university in 1966. It is composed of 14 faculties and over 85 research institutes and centres. The main campus is located in the northwest quadrant of the city near the Bow River and a smaller south campus is located in the city centre. The main campus houses most of the research facilities and works with provincial and federal research and regulatory agencies, several of which are housed next to the campus such as the Geological Survey of Canada. The main campus covers approximately . A member of the U15, the University of Calgary is also one of Canada's top research universities (based on the number of Canada Research Chairs). The university has a sponsored research revenue of $380.4 million, wi ...
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Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfer o ...
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Slovak Academy Of Sciences
The Slovak Academy of Sciences ( sk, Slovenská akadémia vied, or SAV) is the main scientific and research institution in Slovakia fostering basic and strategic basic research. It was founded in 1942, closed after World War II, and then reestablished in 1953. Its primary mission is to acquire new knowledge of nature, society and technology, specifically targeted at ensuring scientific basis for the advancement in Slovakia. It comprises 58 scientific institutes and 13 ancillary institutions. The SAV edits 44 scientific and scholarly journals and 100–120 monographs per annum. Moreover, 41 scientific and scholarly societies, which associate scientists and scholars from various disciplines, are affiliated with SAV. History The commencement of modern science in the 16th and 17th centuries resulted in the establishment of new institutions that supplemented classical universities and created a broader forum for fostering science communication. These institutions, which were buil ...
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Rector (academia)
A rector (Latin for 'ruler') is a senior official in an educational institution, and can refer to an official in either a university or a secondary school. Outside the English-speaking world the rector is often the most senior official in a university, whilst in the United States the most senior official is often referred to as president and in the United Kingdom and Commonwealth of Nations the most senior official is the chancellor, whose office is primarily ceremonial and titular. The term and office of a rector can be referred to as a rectorate. The title is used widely in universities in EuropeEuropean nations where the word ''rector'' or a cognate thereof (''rektor'', ''recteur'', etc.) is used in referring to university administrators include Albania, Austria, the Benelux, Bosnia and Herzegovina, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Germany, Greece, Hungary, Iceland, Italy, Latvia, Malta, Moldova, North Macedonia, Poland, Portugal, Romani ...
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University Of Economics In Bratislava
The University of Economics in Bratislava ( sk, Ekonomická univerzita v Bratislave) is the oldest university of economics in Slovakia. History The university was established in 1940 as a private university under the name Vysoká obchodná škola v Bratislave (College of Commerce in Bratislava), to serve Slovak students because of the closure of colleges and universities in the German-occupied Protectorate of Bohemia and Moravia The Protectorate of Bohemia and Moravia; cs, Protektorát Čechy a Morava; its territory was called by the Nazis ("the rest of Czechia"). was a partially annexed territory of Nazi Germany established on 16 March 1939 following the German oc .... It was nationalized in 1945 and renamed to ''Slovenská vysoká škola obchodná'' (Slovak College of Commerce). It was renamed in 1949 to ''Vysoká škola hospodárskych vied'' (College of Business / Economic Sciences) and once again in 1952 to ''Vysoká škola ekonomická'' (College of Economics). The cu ...
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Mathematical Statistics
Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical analysis, linear algebra, stochastic analysis, differential equations, and measure theory. Introduction Statistical data collection is concerned with the planning of studies, especially with the design of randomized experiments and with the planning of surveys using random sampling. The initial analysis of the data often follows the study protocol specified prior to the study being conducted. The data from a study can also be analyzed to consider secondary hypotheses inspired by the initial results, or to suggest new studies. A secondary analysis of the data from a planned study uses tools from data analysis, and the process of doing this is mathematical statistics. Data analysis is divided into: * descriptive statistics - the part of st ...
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Doctoral Degree
A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''licentia docendi'' ("licence to teach"). In most countries, a research degree qualifies the holder to teach at university level in the degree's field or work in a specific profession. There are a number of doctoral degrees; the most common is the Doctor of Philosophy (PhD), awarded in many different fields, ranging from the humanities to scientific disciplines. In the United States and some other countries, there are also some types of technical or professional degrees that include "doctor" in their name and are classified as a doctorate in some of those countries. Professional doctorates historically came about to meet the needs of practitioners in a variety of disciplines. Many universities also award honorary doctorates to individuals de ...
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Bratislava
Bratislava (, also ; ; german: Preßburg/Pressburg ; hu, Pozsony) is the Capital city, capital and largest city of Slovakia. Officially, the population of the city is about 475,000; however, it is estimated to be more than 660,000 — approximately 140% of the official figures. Bratislava is in southwestern Slovakia at the foot of the Little Carpathians, occupying both banks of the River Danube and the left bank of the Morava (river), River Morava. Bordering Austria and Hungary, it is the only national capital that borders two sovereign states. The city's history has been influenced by people of many nations and religions, including Austrians, Bulgarians, Croats, Czechs, Germans, Hungarian people, Hungarians, Jews, Romani people, Romani, Serbs and Slovaks. It was the coronation site and legislative center and capital of the Kingdom of Hungary from 1536 to 1783; eleven King of Hungary, Hungarian kings and eight queens were crowned in St Martin's Cathedral, Bratislava, St Martin' ...
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Czech Republic
The Czech Republic, or simply Czechia, is a landlocked country in Central Europe. Historically known as Bohemia, it is bordered by Austria to the south, Germany to the west, Poland to the northeast, and Slovakia to the southeast. The Czech Republic has a hilly landscape that covers an area of with a mostly temperate continental and oceanic climate. The capital and largest city is Prague; other major cities and urban areas include Brno, Ostrava, Plzeň and Liberec. The Duchy of Bohemia was founded in the late 9th century under Great Moravia. It was formally recognized as an Imperial State of the Holy Roman Empire in 1002 and became a kingdom in 1198. Following the Battle of Mohács in 1526, the whole Crown of Bohemia was gradually integrated into the Habsburg monarchy. The Protestant Bohemian Revolt led to the Thirty Years' War. After the Battle of White Mountain, the Habsburgs consolidated their rule. With the dissolution of the Holy Empire in 1806, the Cro ...
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Prague
Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate oceanic climate, with relatively warm summers and chilly winters. Prague is a political, cultural, and economic hub of central Europe, with a rich history and Romanesque, Gothic, Renaissance and Baroque architectures. It was the capital of the Kingdom of Bohemia and residence of several Holy Roman Emperors, most notably Charles IV (r. 1346–1378). It was an important city to the Habsburg monarchy and Austro-Hungarian Empire. The city played major roles in the Bohemian and the Protestant Reformations, the Thirty Years' War and in 20th-century history as the capital of Czechoslovakia between the World Wars and the post-war Communist era. Prague is home to a number of well-known cultural attractions, many of which survived the ...
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