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Felix Behrend
Felix Adalbert Behrend (23 April 1911 – 27 May 1962) was a German mathematician of Jewish descent who escaped Nazi Germany and settled in Australia. His research interests included combinatorics, number theory, and topology. Behrend's theorem and Behrend sequences are named after him. Life Behrend was born on 23 April 1911 in Charlottenburg, a suburb of Berlin. He was one of four children of Dr. Felix W. Behrend, a politically liberal mathematics and physics teacher. Although of Jewish descent, their family was Lutheran. Behrend followed his father in studying both mathematics and physics, both at Humboldt University of Berlin and the University of Hamburg, and completed a doctorate in 1933 at Humboldt University. His dissertation, ''Über numeri abundantes'' 'On abundant numbers''">abundant_number.html" ;"title="'On abundant number">'On abundant numbers''was supervised by Erhard Schmidt. With Adolf Hitler's rise to power in 1933, Behrend's father lost his job, and Behren ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charlottenburg
Charlottenburg () is a Boroughs and localities of Berlin, locality of Berlin within the borough of Charlottenburg-Wilmersdorf. Established as a German town law, town in 1705 and named after Sophia Charlotte of Hanover, Queen consort of Kingdom of Prussia, Prussia, it is best known for Charlottenburg Palace, the largest surviving royal palace in Berlin, and the adjacent museums. Charlottenburg was an independent city to the west of Berlin until 1920 when it was incorporated into "Greater Berlin Act, Groß-Berlin" (Greater Berlin) and transformed into a borough. In the course of Berlin's 2001 administrative reform it was merged with the former borough of Wilmersdorf becoming a part of a new borough called Charlottenburg-Wilmersdorf. Later, in 2004, the new borough's districts were rearranged, dividing the former borough of Charlottenburg into the localities of Charlottenburg proper, Westend (Berlin), Westend and Charlottenburg-Nord. Geography Charlottenburg is located in Berlin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logarithmic Density
In number theory, natural density (also referred to as asymptotic density or arithmetic density) is one method to measure how "large" a subset of the set of natural numbers is. It relies chiefly on the probability of encountering members of the desired subset when combing through the interval as ''n '' grows large. Intuitively, it is thought that there are more positive integers than perfect squares, since every perfect square is already positive, and many other positive integers exist besides. However, the set of positive integers is not in fact larger than the set of perfect squares: both sets are infinite and countable and can therefore be put in one-to-one correspondence. Nevertheless if one goes through the natural numbers, the squares become increasingly scarce. The notion of natural density makes this intuition precise for many, but not all, subsets of the naturals (see Schnirelmann density, which is similar to natural density but defined for all subsets of \mathbb). If ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Atle Selberg
Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms, and in particular for bringing them into relation with spectral theory. He was awarded the Fields Medal in 1950 and an honorary Abel Prize in 2002. Early years Selberg was born in Langesund, Norway, the son of teacher Anna Kristina Selberg and mathematician Ole Michael Ludvigsen Selberg. Two of his three brothers, Sigmund and Henrik, were also mathematicians. His other brother, Arne, was a professor of engineering. While he was still at school he was influenced by the work of Srinivasa Ramanujan and he found an exact analytical formula for the partition function as suggested by the works of Ramanujan; however, this result was first published by Hans Rademacher. During the war he fought against the German invasion of Norway, and was imprisoned several times. He studied at the University of Oslo and completed his PhD in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Erdős
Paul Erdős ( hu, Erdős Pál ; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered around discrete mathematics, cracking many previously unsolved problems in the field. He championed and contributed to Ramsey theory, which studies the conditions in which order necessarily appears. Overall, his work leaned towards solving previously open problems, rather than developing or exploring new areas of mathematics. Erdős published around 1,500 mathematical papers during his lifetime, a figure that remains unsurpassed. He firmly believed mathematics to be a social activity, living an itinerant lifestyle with the sole purpose of writing mathematical papers with other mathem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Number Theorem
In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which this occurs. The theorem was proved independently by Jacques Hadamard and Charles Jean de la Vallée Poussin in 1896 using ideas introduced by Bernhard Riemann (in particular, the Riemann zeta function). The first such distribution found is , where is the prime-counting function (the number of primes less than or equal to ''N'') and is the natural logarithm of . This means that for large enough , the probability that a random integer not greater than is prime is very close to . Consequently, a random integer with at most digits (for large enough ) is about half as likely to be prime as a random integer with at most digits. For example, among the positive integers of at most 1000 digits, about one in 2300 is prime ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernhard Neumann
Bernhard Hermann Neumann (15 October 1909 – 21 October 2002) was a German-born British-Australian mathematician, who was a leader in the study of group theory. Early life and education After gaining a D.Phil. from Friedrich-Wilhelms Universität in Berlin in 1932 he earned a Ph.D. at the University of Cambridge in 1935 and a Doctor of Science at the University of Manchester in 1954. His doctoral students included Gilbert Baumslag, László Kovács, Michael Newman, and James Wiegold. After war service with the British Army, he became a lecturer at University College, Hull, before moving in 1948 to the University of Manchester, where he spent the next 14 years. In 1954 he received a DSc from the University of Cambridge. In 1962 he migrated to Australia to take up the Foundation Chair of the Department of Mathematics within the Institute of Advanced Studies of the Australian National University (ANU), where he served as head of the department until retiring in 1975. In addition ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Queen's College (University Of Melbourne)
Queen's College is a residential college affiliated with the University of Melbourne providing accommodation to more than 300 students who attend the University of Melbourne, the Victorian College of the Arts, RMIT University and Monash University Faculty of Pharmacy and Pharmaceutical Sciences. In addition to the students (commonly referred to as "Queeners"), Queen's College (usually known simply as "Queen's") also houses a number of fellows, resident tutors, scholars and professionals (collectively known as the Senior Common Room), staff and academic guests. The resident tutors conduct weekly tutorials for the students on subjects that are involved in their expertise. History Founding The college was founded in 1887, on of land assigned to the Methodist Church by the Parliament of Victoria in the area then known as University Reserve (now College Crescent). While this land was allocated soon after the founding of the university in 1853, it was not until 1878—some twen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Melbourne
The University of Melbourne is a public research university located in Melbourne, Australia. Founded in 1853, it is Australia's second oldest university and the oldest in Victoria. Its main campus is located in Parkville, an inner suburb north of Melbourne's central business district, with several other campuses located across Victoria. Incorporated in the 19th century by the colony of Victoria, the University of Melbourne is one of Australia's six sandstone universities and a member of the Group of Eight, Universitas 21, Washington University's McDonnell International Scholars Academy, and the Association of Pacific Rim Universities. Since 1872, many residential colleges have become affiliated with the university, providing accommodation for students and faculty, and academic, sporting and cultural programs. There are ten colleges located on the main campus and in nearby suburbs. The university comprises ten separate academic units and is associated with numerous institut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas MacFarland Cherry
Sir Thomas MacFarland Cherry F.A.A., F.R.S. (21 May 1898 – 21 November 1966) was an Australian mathematician, serving as Professor of Mathematics (pure, mixed and applied) at the University of Melbourne from 1929 until his retirement in 1963.J. J. Cross'Cherry, Sir Thomas MacFarland (1898–1966)' ''Australian Dictionary of Biography, Volume 13'', Melbourne University Press, 1993, pp 410–411. Early years Tom was born in the Melbourne suburb of Glen Iris on 21 May 1898 and was educated at Scotch College where in 1914 he was dux, winning exhibitions in algebra, physics and chemistry in the public exams. He proceeded to Ormond College at the University of Melbourne where he studied mathematics, winning prizes and scholarships. After graduating, he enlisted in the A.I.F. in July 1918 and was posted to the Australian Flying Corps. Discharged in December 1918, he decided to commence studying medicine in 1919. However, his godfather Sir John MacFarland, a distinguished mathemati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Enemy Alien
In customary international law, an enemy alien is any native, citizen, denizen or subject of any foreign nation or government with which a domestic nation or government is in conflict and who is liable to be apprehended, restrained, secured and removed. Usually, the countries are in a state of declared war. Australia In Australia, in the wake of the outbreak of World War II, Jewish refugees and others fleeing the Nazis were classified as "enemy aliens" upon their arrival in Australia if they arrived with German identity papers. Australian law in 1939 designated people "enemy aliens" if they were Germans or were Australians who had been born in Germany; later, it covered Italians and Japanese as well. The Australian government would therefore intern them, sometimes for years until the war ended, in camps such as the isolated Tatura Internment Camp 3 D which held approximately 300 internees thus deemed "enemy aliens", mostly families, including children as young as two years of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
HMT Dunera
HMT (Hired Military Transport) ''Dunera'' was a British passenger ship which, in 1940, became involved in a controversial transportation of thousands of "enemy aliens" to Australia. The British India Steam Navigation Company had operated a previous , which served as a troopship during the Second Boer War. Early service as a troopship After trials in 1937, she was handed over to the British-India Steam Navigation Company and served as a passenger liner and an educational cruise ship before seeing extensive service as a troopship throughout the Second World War. She was taken over by the Royal Navy as a troopship before hostilities started, and was taking troops to the Far East when her crew heard the news of war at Malta on 3 September 1939 (from private diary of telegraphist R H Wood). ''Dunera'' carried New Zealand troops to Egypt in January 1940. Transport voyage to Australia Background After Britain declared war on Germany the government set up aliens tribunals to distingu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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