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Wilhelm Grunwald
Wilhelm Grunwald (15 July 1909 – 7 June 1989) was a German mathematician who introduced the Grunwald–Wang theorem, though his original statement and proof of this contained a small error that was corrected by Shianghao Wang. He later left mathematics to become a science librarian, and was director of the Göttingen Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, t ... university library . References * * * {{DEFAULTSORT:Grunwald, Wilhelm 1909 births 1989 deaths 20th-century German mathematicians ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grunwald–Wang Theorem
In algebraic number theory, the Grunwald–Wang theorem is a local-global principle stating that—except in some precisely defined cases—an element ''x'' in a number field ''K'' is an ''n''th power in ''K'' if it is an ''n''th power in the completion K_ for all but finitely many primes \mathfrak of ''K''. For example, a rational number is a square of a rational number if it is a square of a ''p''-adic number for almost all primes ''p''. The Grunwald–Wang theorem is an example of a local-global principle. It was introduced by , but there was a mistake in this original version that was found and corrected by . The theorem considered by Grunwald and Wang was more general than the one stated above as they discussed the existence of cyclic extensions with certain local properties, and the statement about ''n''th powers is a consequence of this. History , a student of Helmut Hasse, gave an incorrect proof of the erroneous statement that an element in a number field is an ''n''t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shianghao Wang
Wang Xianghao, Shianghao Wang, or Shianghaw Wang (; 5 May 1915 – 4 May 1993) was a Chinese mathematician who introduced the Grunwald–Wang theorem in , correcting an error in Wilhelm Grunwald's original statement and proof of this. He later changed from mathematics to computer science and control theory, and became a member of the Chinese Academy of Sciences The Chinese Academy of Sciences (CAS); ), known by Academia Sinica in English until the 1980s, is the national academy of the People's Republic of China for natural sciences. It has historical origins in the Academia Sinica during the Republ .... References * * * {{DEFAULTSORT:Wang, Xianghao 1915 births 1993 deaths 20th-century Chinese mathematicians Educators from Hebei Academic staff of Jilin University Mathematicians from Hebei Members of the Chinese Academy of Sciences Academic staff of Peking University People from Hengshui National University of Peking alumni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Göttingen
The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded in 1734 by George II, King of Great Britain and Elector of Hanover, and starting classes in 1737, the Georgia Augusta was conceived to promote the ideals of the Enlightenment. It is the oldest university in the state of Lower Saxony and the largest in student enrollment, which stands at around 31,600. Home to many noted figures, it represents one of Germany's historic and traditional institutions. According to an official exhibition held by the University of Göttingen in 2002, 44 Nobel Prize winners had been affiliated with the University of Göttingen as alumni, faculty members or researchers by that year alone. The University of Göttingen was previously supported by the German Universities Excellence Initiative, holds memberships ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Springer-Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology ". Springer Science+Business Media. In 1964, Springer expanded its business internationally, o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1909 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1989 Deaths
File:1989 Events Collage.png, From left, clockwise: The Cypress Street Viaduct, Cypress structure collapses as a result of the 1989 Loma Prieta earthquake, killing motorists below; The proposal document for the World Wide Web is submitted; The Exxon Valdez oil tanker runs aground in Prince William Sound, Alaska, causing a large Exxon Valdez oil spill, oil spill; The Fall of the Berlin Wall begins the downfall of Communism in Eastern Europe, and heralds German reunification; The United States United States invasion of Panama, invades Panama to depose Manuel Noriega; The Singing Revolution led to the independence of the Baltic states of Estonia, Latvia, and Lithuania from the Soviet Union; The stands of Hillsborough Stadium in Sheffield, Yorkshire, where the Hillsborough disaster occurred; 1989 Tiananmen Square protests and massacre, Students demonstrate in Tiananmen Square, Beijing; many are killed by forces of the Chinese Communist Party., 300x300px, thumb rect 0 0 200 200 1989 Loma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
