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Wolfgang M. Schmidt
Wolfgang M. Schmidt (born 3 October 1933) is an Austrian mathematician working in the area of number theory. He studied mathematics at the University of Vienna, where he received his PhD, which was supervised by Edmund Hlawka, in 1955. Wolfgang Schmidt is a Professor Emeritus from the University of Colorado at Boulder and a member of the Austrian Academy of Sciences and the Polish Academy of Sciences. Career He was awarded the eighth Cole Prize, Frank Nelson Cole Prize in Number Theory for work on Diophantine approximation. He is known for his subspace theorem. In 1960, he proved that every normal number in base ''r'' is normal in base ''s'' if and only if log ''r'' / log ''s'' is a rational number. He also proved the existence of T numbers. His series of papers on irregularities of distribution can be seen in J.Beck and W.Chen, Irregularities of Distribution, Cambridge University Press. Schmidt is in a small group of number theorists who have been invited to address the Intern ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vienna
Vienna ( ; ; ) is the capital city, capital, List of largest cities in Austria, most populous city, and one of Federal states of Austria, nine federal states of Austria. It is Austria's primate city, with just over two million inhabitants. Its larger metropolitan area has a population of nearly 2.9 million, representing nearly one-third of the country's population. Vienna is the Culture of Austria, cultural, Economy of Austria, economic, and Politics of Austria, political center of the country, the List of cities in the European Union by population within city limits, fifth-largest city by population in the European Union, and the most-populous of the List of cities and towns on the river Danube, cities on the river Danube. The city lies on the eastern edge of the Vienna Woods (''Wienerwald''), the northeasternmost foothills of the Alps, that separate Vienna from the more western parts of Austria, at the transition to the Pannonian Basin. It sits on the Danube, and is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Number
In mathematics, a real number is said to be simply normal in an integer base b if its infinite sequence of digits is distributed uniformly in the sense that each of the b digit values has the same natural density 1/b. A number is said to be normal in base b if, for every positive integer n, all possible strings n digits long have density b−''n''. Intuitively, a number being simply normal means that no digit occurs more frequently than any other. If a number is normal, no finite combination of digits of a given length occurs more frequently than any other combination of the same length. A normal number can be thought of as an infinite sequence of coin flips ( binary) or rolls of a die ( base 6). Even though there ''will'' be sequences such as 10, 100, or more consecutive tails (binary) or fives (base 6) or even 10, 100, or more repetitions of a sequence such as tail-head (two consecutive coin flips) or 6-1 (two consecutive rolls of a die), there will also be equally ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of York
The University of York (abbreviated as or ''York'' for Post-nominal letters, post-nominals) is a public Collegiate university, collegiate research university in York, England. Established in 1963, the university has expanded to more than thirty departments and centres, covering a wide range of subjects. South-east of the city of York, the university campus is about in size. The original campus, Campus West, incorporates the York Science Park and the Science Learning Centres, National Science Learning Centre, and its wildlife, campus lakes and greenery are prominent. In May 2007 the university was granted permission to build an extension to its main campus, on arable land just east of the nearby village of Heslington. The second campus, Campus East, opened in 2009 and now hosts five colleges and three departments as well as conference spaces, a sports village and a business startup company, start-up 'incubator'. The institution also leases King's Manor in York city centre. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Marburg
The Philipps University of Marburg () is a public research university located in Marburg, Germany. It was founded in 1527 by Philip I, Landgrave of Hesse, which makes it one of Germany's oldest universities and the oldest still operating Protestant university in the world. It is now a public university of the state of Hesse, without religious affiliation. The University of Marburg has about 23,500 students and 7,500 employees and is located in Marburg, a town of 76,000 inhabitants, with university buildings dotted in or around the town centre. About 14% of the students are international, the highest percentage in Hesse. It offers an international summer university programme and offers student exchanges through the Erasmus programme. History In 1609, the University of Marburg established the world's first professorship in chemistry. In 2012 it opened the first German interactive chemistry museum, called '. Its experimental course programme is aimed at encouraging young people ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Waterloo
The University of Waterloo (UWaterloo, UW, or Waterloo) is a Public university, public research university located in Waterloo, Ontario, Canada. The main campus is on of land adjacent to uptown Waterloo and Waterloo Park. The university also operates three satellite campuses and four affiliated school, affiliated university colleges. The university offers academic programs administered by six faculties and thirteen faculty-based schools. Waterloo operates the largest post-secondary co-operative education program in the world, with over 20,000 undergraduate students enrolled in the university's co-op program. Waterloo is a member of the U15 Group of Canadian Research Universities, U15, a group of research-intensive universities in Canada. The institution originates from the Waterloo College Associate Faculties, established on 4 April 1956; a semi-autonomous entity of Wilfrid Laurier University, Waterloo College, which was an Affiliated college, affiliate of the University of West ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Paris
The University of Paris (), known Metonymy, metonymically as the Sorbonne (), was the leading university in Paris, France, from 1150 to 1970, except for 1793–1806 during the French Revolution. Emerging around 1150 as a corporation associated with the cathedral school of Paris, it was considered the List of medieval universities, second-oldest university in Europe.Charles Homer Haskins: ''The Rise of Universities'', Henry Holt and Company, 1923, p. 292. Officially chartered in 1200 by Philip II of France, King Philip II and recognised in 1215 by Pope Innocent III, it was nicknamed after its theological College of Sorbonne, founded by Robert de Sorbon and chartered by King Louis IX around 1257. Highly reputed internationally for its academic performance in the humanities ever since the Middle Ages – particularly in theology and philosophy – it introduced academic standards and traditions that have endured and spread, such as Doctor (title), doctoral degrees and student nations. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Ulm
Ulm University () is a public university in Ulm, Baden-Württemberg, Germany. The University was founded in 1967 and focuses on natural sciences, medicine, engineering sciences, mathematics, economics and computer science. With 9,891 students (summer semester 2018),Statistik 1: Gesamstatistik (Kopfstatistik) Retrieved 19. November 2018 it is one of the youngest public universities in Germany. The campus of the university is located north of the city on a hill called ''Oberer Eselsberg'', while the has additional sites across the city. History The university is ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Honorary Doctorate
An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements. It is also known by the Latin phrases ''honoris causa'' ("for the sake of the honour") or '' ad honorem '' ("to the honour"). The degree is typically a doctorate or, less commonly, a master's degree, and may be awarded to someone who has no prior connection with the academic institution or no previous postsecondary education. An example of identifying a recipient of this award is as follows: Doctorate in Business Administration (''Hon. Causa''). The degree is often conferred as a way of honouring a distinguished visitor's contributions to a specific field or to society in general. Honorary doctorates are purely titular degrees in that they confer no rights on the recipient and carry with them no formal academic qualification. As such, it is always expected that such degrees be listed in one's curriculum vitae (CV) as an award, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Austrian Decoration For Science And Art
The Austrian Decoration for Science and Art () is a state decoration of the Republic of Austria and forms part of the Orders, decorations, and medals of Austria, Austrian national honours system. History The "Austrian Decoration for Science and Art" was established by the National Council of Austria, National Council as an honour for scientific or artistic achievements by Federal Law of May 1955 (Federal Law Gazette (Austria), Federal Law Gazette No. 96/1955 as amended BGBl I No 128/2001). At the same time, the National Council also established the "Austrian Cross of Honour for Science and Art", which is awarded as "Cross of Honour, First Class" (German: ''Ehrenkreuz 1. Klasse'') and "Cross of Honour" (German: ''Ehrenkreuz''). While not technically counted as lower classes of the Decoration for Science and Art, these crosses are nevertheless affiliated with it. Divisions Decoration for Science and Art The number of living recipients of the Decoration for Science and Art is l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Humboldt Research Award
The Humboldt Research Award (), also known informally as the Humboldt Prize, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of Germany in recognition of their lifetime's research achievements. Recipients are "academics whose fundamental discoveries, new theories or insights have had a significant impact on their own discipline and who are expected to continue producing cutting-edge academic achievements in the future". The prize is currently valued at €60,000 with the possibility of further support during the prize winner's life. Up to one hundred such awards are granted each year. Nominations must be submitted by established academics in Germany. As of 2023, over 2,000 awards have been granted. The award is named after the Prussian naturalist and explorer Alexander von Humboldt. Andreas W. Daum, ''Alexander von Humboldt: A Concise Biography''. Trans. Robert Savage. Princeton, N.J.: Princ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Tate (mathematician)
John Torrence Tate Jr. (March 13, 1925 – October 16, 2019) was an American mathematician distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry, and related areas in algebraic geometry. He was awarded the Abel Prize in 2010. Biography Tate was born in Minneapolis, on March 13, 1925. His father, John Tate Sr., was a professor of physics at the University of Minnesota and a longtime editor of ''Physical Review''. His mother, Lois Beatrice Fossler, was a high school English teacher. Tate Jr. received his bachelor's degree in mathematics in 1946 from Harvard University and entered the doctoral program in physics at Princeton University. He later transferred to the mathematics department and received his PhD in mathematics in 1950 after completing a doctoral dissertation titled "Fourier analysis in number fields and Hecke's zeta functions" under the supervision of Emil Artin. Tate taught at Harvard for 36 years before joining the Un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Goro Shimura
was a Japanese mathematician and Michael Henry Strater Professor Emeritus of Mathematics at Princeton University who worked in number theory, automorphic forms, and arithmetic geometry. He was known for developing the theory of complex multiplication of abelian varieties and Shimura varieties, as well as posing the Taniyama–Shimura conjecture which ultimately led to the proof of Fermat's Last Theorem. Biography Gorō Shimura was born in Hamamatsu, Japan, on 23 February 1930. Shimura graduated with a B.A. in mathematics and a D.Sc. in mathematics from the University of Tokyo in 1952 and 1958, respectively. After graduating, Shimura became a lecturer at the University of Tokyo, then worked abroad — including ten months in Paris and a seven-month stint at Princeton's Institute for Advanced Study — before returning to Tokyo, where he married Chikako Ishiguro. He then moved from Tokyo to join the faculty of Osaka University, but growing unhappy with his funding situation, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
