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Heinrich Brandt
Heinrich Brandt (8 November 1886, in Feudingen – 9 October 1954, in Halle, Saxony-Anhalt) was a German mathematician who was the first to develop the concept of a groupoid. Brandt studied at the University of Göttingen and, from 1910 to 1913, at the University of Strasbourg. In 1912 he attained his doctorate; he was a student of Heinrich Martin Weber. From 1913 he was assistant at the University of Karlsruhe (TH). He taught geometry and applied mathematics from 1921 at RWTH Aachen. From 1930 he was the chair for mathematics at the University of Halle. A Brandt matrix is a computational way of describing the Hecke operator action on theta series as modular forms. The theory was developed in part by Brandt's student Martin Eichler. It offers an algorithmic approach for machine computation (in that theta series span spaces of modular forms); the theory is now considered by means of Brandt modules. See also * Brandt semigroup External links * H.-J. Hoehnke and M.-A. Knus (2004A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theta Series
In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field theory. The most common form of theta function is that occurring in the theory of elliptic functions. With respect to one of the complex variables (conventionally called ), a theta function has a property expressing its behavior with respect to the addition of a period of the associated elliptic functions, making it a quasiperiodic function. In the abstract theory this quasiperiodicity comes from the cohomology class of a line bundle on a complex torus, a condition of descent. One interpretation of theta functions when dealing with the heat equation is that "a theta function is a special function that describes the evolution of temperature on a segment domain subject to certain boundary conditions". Throughout this article, (e^)^ should be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Strasbourg Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Göttingen Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1954 Deaths
Events January * January 1 – The Soviet Union ceases to demand war reparations from West Germany. * January 3 – The Italian broadcaster RAI officially begins transmitting. * January 7 – Georgetown-IBM experiment: The first public demonstration of a machine translation system is held in New York, at the head office of IBM. * January 10 – BOAC Flight 781, a de Havilland Comet jet plane, disintegrates in mid-air due to metal fatigue, and crashes in the Mediterranean near Elba; all 35 people on board are killed. * January 12 – Avalanches in Austria kill more than 200. * January 15 – Mau Mau leader Waruhiu Itote is captured in Kenya. * January 17 – In Yugoslavia, Milovan Đilas, one of the leading members of the League of Communists of Yugoslavia, is relieved of his duties. * January 20 – The US-based National Negro Network is established, with 46 member radio stations. * January 21 – The first nuclear-powered subm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1886 Births
Events January–March * January 1 – Upper Burma is formally annexed to British Burma, following its conquest in the Third Anglo-Burmese War of November 1885. * January 5– 9 – Robert Louis Stevenson's novella ''Strange Case of Dr Jekyll and Mr Hyde'' is published in New York and London. * January 16 – A resolution is passed in the German Parliament to condemn the Prussian deportations, the politically motivated mass expulsion of ethnic Poles and Jews from Prussia, initiated by Otto von Bismarck. * January 18 – Modern field hockey is born with the formation of The Hockey Association in England. * January 29 – Karl Benz patents the first successful gasoline-driven automobile, the Benz Patent-Motorwagen (built in 1885). * February 6– 9 – Seattle riot of 1886: Anti-Chinese sentiments result in riots in Seattle, Washington. * February 8 – The West End Riots following a popular meeting in Trafalgar Square, London. * F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin Luther University Of Halle-Wittenberg
Martin Luther University of Halle-Wittenberg (german: Martin-Luther-Universität Halle-Wittenberg), also referred to as MLU, is a public, research-oriented university in the cities of Halle and Wittenberg and the largest and oldest university in the German state of Saxony-Anhalt. MLU offers German and international (English) courses leading to academic degrees such as BA, BSc, MA, MSc, doctoral degrees, and Habilitation. The university was created in 1817 through the merger of the University of Wittenberg (founded in 1502) and the University of Halle (founded in 1694). MLU is named after Protestant reformer Martin Luther, who was a professor in Wittenberg. Today, the university campus is located in Halle, while ''Leucorea Foundation'' in Wittenberg serves as MLU's convention centre. Both Halle and Wittenberg are about one hour from Berlin via the Berlin–Halle railway, which offers Intercity-Express (ICE) trains. History University of Wittenberg (''Universität Wittenbe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ETH Zurich
(colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , academic_staff = 6,612 (including doctoral students, excluding 527 professors of all ranks, 34% female, 65% foreign nationals) (full-time equivalents 2021) , administrative_staff = 3,106 (40% female, 19% foreign nationals, full-time equivalents 2021) , students = 24,534 (headcount 2021, 33.3% female, 37% foreign nationals) , undergrad = 10,642 , postgrad = 8,299 , doctoral = 4,460 , other = 1,133 , address = Rämistrasse 101CH-8092 ZürichSwitzerland , city = Zürich , coor = , campus = Urban , language = German, English (Masters and upwards, sometimes Bachelor) , affiliations = CESAER, EUA, GlobalTech, IARU, IDEA League, UNITECH , website ethz.ch, colors = Black and White , logo = ETH Zürich Logo black.svg ETH Züric ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brandt Semigroup
In mathematics, Brandt semigroups are completely 0-simple inverse semigroups. In other words, they are semigroups without proper ideals and which are also inverse semigroups. They are built in the same way as completely 0-simple semigroups: Let ''G'' be a group and I, J be non-empty sets. Define a matrix P of dimension , I, \times , J, with entries in G^0=G \cup \. Then, it can be shown that every 0-simple semigroup is of the form S=(I\times G^0\times J) with the operation (i,a,j)*(k,b,n)=(i,a p_ b,n). As Brandt semigroups are also inverse semigroups, the construction is more specialized and in fact, I = J (Howie 1995). Thus, a Brandt semigroup has the form S=(I\times G^0\times I) with the operation (i,a,j)*(k,b,n)=(i,a p_ b,n). Moreover, the matrix P is diagonal with only the identity element ''e'' of the group ''G'' in its diagonal. Remarks 1) The idempotents have the form (''i'', ''e'', ''i'') where ''e'' is the identity of ''G''. 2) There are equivalent ways to define the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brandt Module
Brandt may refer to: Places United States * Brandt, Ohio, an unincorporated community * Brandt, South Dakota, a town * Brandt Township, Polk County, Minnesota Elsewhere * Mount Brandt, Queen Maud Land, Antarctica * Brandt Cove, South Georgia Island, Atlantic Ocean * 3503 Brandt, an asteroid Other uses * Brandt (name) * Brandt (company), a German rusk and chocolate manufacturer * Brandt (brand), a French brandname producing various home equipment * Brandt House (other), several houses on the US National Register of Historic Places * Brandt Centre, an arena in Regina, Saskatchewan, Canada See also * * * Brand (other) * Brant (other) * Ernie Brandts (born 1956), Dutch former footballer * Brandts Museum of Photographic Art The Danish Museum of Photographic Art (Danish: Museet for Fotokunst) is in Odense, Denmark. It is the only national Danish art museum dedicated specifically to photographic art. It was founded in 1987 as part of the Brandts Intern ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin Eichler
Martin Maximilian Emil Eichler (29 March 1912 – 7 October 1992) was a German number theorist. Eichler received his Ph.D. from the Martin Luther University of Halle-Wittenberg in 1936. Eichler and Goro Shimura developed a method to construct elliptic curves from certain modular forms. The converse notion that every elliptic curve has a corresponding modular form would later be the key to the proof of Fermat's Last Theorem. Selected publications * ''Quadratische Formen und orthogonale Gruppen'', Springer 1952, 1974 * * ''Einführung in die Theorie der algebraischen Zahlen und Funktionen'', Birkhäuser 1963; Eng. trans. 1966''Introduction to the theory of algebraic numbers and functions'' in which a section on modular forms is added; pbk 2014 reprint of 1963 German original * ''Projective varieties and modular forms'' 1971 (Riemann–Roch theorem); * with Don Zagier: ''The Theory of Jacobi forms'', Birkhäuser 1985; ''Über die Einheiten der Divisionsalgebren'', Mathem. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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