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Hans Hamburger
Hans Ludwig Hamburger (5 August 1889, Berlin – 14 August 1956, Cologne) was a German mathematician. He was a professor at universities in Berlin, Cologne and Ankara.. Biography Hans was the elder son of Karl Hamburger and Margarethe Levy. He was of Jewish heritage, but baptised as a protestant. His father was a lawyer and mixed in learned circles in Berlin. Hans attended the Royal French Gymnasium in Berlin from 1898 to 1907. Hamburger obtained his Ph.D. from the University of Munich in 1914 under the supervision of Alfred Pringsheim and after war service obtained his Habilitation for a thesis on ''Extensions of the Stieltjes moment problem''. He was appointed Privatdozent at the University of Berlin in 1921 and professor at the University of Cologne in 1926. He left Cologne in 1935, after the imposition of the Nuremberg Laws, and returned to his mother's home in Berlin. In 1939, he left Germany, and from 1941 to 1946 he was lecturer at the University of Southampton. After the w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constituent states, Berlin is surrounded by the State of Brandenburg and contiguous with Potsdam, Brandenburg's capital. Berlin's urban area, which has a population of around 4.5 million, is the second most populous urban area in Germany after the Ruhr. The Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's third-largest metropolitan region after the Rhine-Ruhr and Rhine-Main regions. Berlin straddles the banks of the Spree, which flows into the Havel (a tributary of the Elbe) in the western borough of Spandau. Among the city's main topographical features are the many lakes in the western and southeastern boroughs formed by the Spree, Havel and Dahme, the largest of which is Lake Müggelsee. Due to its l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Ankara
Ankara University ( tr, Ankara Üniversitesi) is a public university in Ankara, the capital city of Turkey. It was the first higher education institution founded in Turkey after the formation of the republic in 1923. The university has 40 vocational programs, 120 undergraduate programs and 110 graduate programs. History Ankara University was founded by Mustafa Kemal Atatürk, the first president of Turkey. Ankara University faculties are: * Faculty of Political Science (1859). The faculty was founded as a community college in 1859 and has undergone series of changes since the establishment. It was named Mekteb-i Mulkiye-i Sahane under the Ministry of Internal Affairs but in 1918 the name was changed to Mekteb-i Mulkiye under the Ministry of Education. After the founding of the Republic, at the request of Atatürk, the school was moved to Ankara, and named the School of Political Science. On March 23, 1950, the school was placed under Ankara University as the "Faculty ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1956 Deaths
Events January * January 1 – The Anglo-Egyptian Sudan, Anglo-Egyptian Condominium ends in Sudan. * January 8 – Operation Auca: Five U.S. evangelical Christian Missionary, missionaries, Nate Saint, Roger Youderian, Ed McCully, Jim Elliot and Pete Fleming, are killed for trespassing by the Huaorani people of Ecuador, shortly after making contact with them. * January 16 – Egyptian leader Gamal Abdel Nasser vows to reconquer Palestine (region), Palestine. * January 25–January 26, 26 – Finnish troops reoccupy Porkkala, after Soviet Union, Soviet troops vacate its military base. Civilians can return February 4. * January 26 – The 1956 Winter Olympics open in Cortina d'Ampezzo, Italy. February * February 11 – British Espionage, spies Guy Burgess and Donald Maclean (spy), Donald Maclean resurface in the Soviet Union, after being missing for 5 years. * February 14–February 25, 25 – The 20th Congress of the Communist Party of the Soviet Union is held in Mosc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1889 Births
Events January–March * January 1 ** The total solar eclipse of January 1, 1889 is seen over parts of California and Nevada. ** Paiute spiritual leader Wovoka experiences a vision, leading to the start of the Ghost Dance movement in the Dakotas. * January 4 – An Act to Regulate Appointments in the Marine Hospital Service of the United States is signed by President Grover Cleveland. It establishes a Commissioned Corps of officers, as a predecessor to the modern-day U.S. Public Health Service Commissioned Corps. * January 5 – Preston North End F.C. is declared the winner of the inaugural Football League in England. * January 8 – Herman Hollerith receives a patent for his electric tabulating machine in the United States. * January 15 – The Coca-Cola Company is originally incorporated as the Pemberton Medicine Company in Atlanta, Georgia. * January 22 – Columbia Phonograph is formed in Washington, D.C. * January 30 – Rudolf, Crown Prince of Austria and his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Margaret Grimshaw
Margaret Eleanor Grimshaw (1905–1990) was a mathematician and academic at the University of Cambridge. Early life Margaret Eleanor Grimshaw was born on 17 January 1905 in Elland, Yorkshire. Her parents were school teachers, with her father being headmaster at Southowram School in Halifax in 1918. Grimshaw attended Barnsley High School and Halifax Girls Secondary School. She took her B.A First Class in 1926 from Newnham College, the University of Cambridge. She continued with her research after graduation, residing in the Kennedy Building staff accommodation for much of her life. She had an opportunity to work with a number of Fellows as they moved through Cambridge, including Jean Mitchell, Edith Whetham, Joyce Salt, Dorothy Hill and many others. Grimshaw was Mary Ewart Scholar 1924–1926, Arthur Clough Scholar 1926–1927 and Marion Kennedy Residential Student from 1927 to 1928. She took her M.A. in 1930. Career Grimshaw was Assistant Lecturer in Mathematics from 1928 t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hilbert Space
In mathematics, Hilbert spaces (named after David Hilbert) allow generalizing the methods of linear algebra and calculus from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as function spaces. Formally, a Hilbert space is a vector space equipped with an inner product that defines a distance function for which the space is a complete metric space. The earliest Hilbert spaces were studied from this point of view in the first decade of the 20th century by David Hilbert, Erhard Schmidt, and Frigyes Riesz. They are indispensable tools in the theories of partial differential equations, quantum mechanics, Fourier analysis (which includes applications to signal processing and heat transfer), and ergodic theory (which forms the mathematical underpinning of thermodynamics). John von Neumann coined the term ''Hilbert space'' for the abstract concept that under ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Transformation
In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping V \to W between two vector spaces that preserves the operations of vector addition and scalar multiplication. The same names and the same definition are also used for the more general case of modules over a ring; see Module homomorphism. If a linear map is a bijection then it is called a . In the case where V = W, a linear map is called a (linear) ''endomorphism''. Sometimes the term refers to this case, but the term "linear operator" can have different meanings for different conventions: for example, it can be used to emphasize that V and W are real vector spaces (not necessarily with V = W), or it can be used to emphasize that V is a function space, which is a common convention in functional analysis. Sometimes the term ''linear function'' has the same meaning as ''linear map ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Riemann Zeta Function
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_^\infty \frac = \frac + \frac + \frac + \cdots for \operatorname(s) > 1 and its analytic continuation elsewhere. The Riemann zeta function plays a pivotal role in analytic number theory, and has applications in physics, probability theory, and applied statistics. Leonhard Euler first introduced and studied the function over the reals in the first half of the eighteenth century. Bernhard Riemann's 1859 article "On the Number of Primes Less Than a Given Magnitude" extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation, and established a relation between its zeros and the distribution of prime numbers. This paper also contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of the Riemann zeta function that is consid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Converse Theorem
In the mathematical theory of automorphic forms, a converse theorem gives sufficient conditions for a Dirichlet series to be the Mellin transform of a modular form. More generally a converse theorem states that a representation of an algebraic group over the adeles is automorphic whenever the L-functions of various twists of it are well-behaved. Weil's converse theorem The first converse theorems were proved by who characterized the Riemann zeta function by its functional equation, and by who showed that if a Dirichlet series satisfied a certain functional equation and some growth conditions then it was the Mellin transform of a modular form of level 1. found an extension to modular forms of higher level, which was described by . Weil's extension states that if not only the Dirichlet series :L(s)=\sum\frac but also its twists :L_\chi(s)=\sum\frac by some Dirichlet characters χ, satisfy suitable functional equations relating values at ''s'' and 1−''s'', the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Umbilic Point
In the differential geometry of surfaces in three dimensions, umbilics or umbilical points are points on a surface that are locally spherical. At such points the normal curvatures in all directions are equal, hence, both principal curvatures are equal, and every tangent vector is a ''principal direction''. The name "umbilic" comes from the Latin ''umbilicus'' (navel). Umbilic points generally occur as isolated points in the elliptical region of the surface; that is, where the Gaussian curvature is positive. The sphere is the only surface with non-zero curvature where every point is umbilic. A flat umbilic is an umbilic with zero Gaussian curvature. The monkey saddle is an example of a surface with a flat umbilic and on the plane every point is a flat umbilic. A torus can have no umbilics, but every closed surface of nonzero Euler characteristic, embedded smoothly into Euclidean space, has at least one umbilic. An unproven conjecture of Constantin Carathéodory states that every ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Constantin Carathéodory
Constantin Carathéodory ( el, Κωνσταντίνος Καραθεοδωρή, Konstantinos Karatheodori; 13 September 1873 – 2 February 1950) was a Greek mathematician who spent most of his professional career in Germany. He made significant contributions to real and complex analysis, the calculus of variations, and measure theory. He also created an axiomatic formulation of thermodynamics. Carathéodory is considered one of the greatest mathematicians of his era and the most renowned Greek mathematician since antiquity. Origins Constantin Carathéodory was born in 1873 in Berlin to Greek parents and grew up in Brussels. His father Stephanos, a lawyer, served as the Ottoman ambassador to Belgium, St. Petersburg and Berlin. His mother, Despina, née Petrokokkinos, was from the island of Chios. The Carathéodory family, originally from Bosnochori or Vyssa, was well established and respected in Constantinople, and its members held many important governmental positions. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
