Martin Krause (mathematician)
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Martin Krause (mathematician)
Martin Krause (29 June 1851, Wilknit, East Prussia – 2 March 1920, Dresden) was a German mathematician, specializing in analysis. Biography Martin Krause, the son of a landowner, studied from 1870 to 1874 at the University of Königsberg, where he was taught by Friedrich Julius Richelot and Franz Ernst Neumann, and also in Heidelberg and Berlin. In 1873 Krause received his doctorate from Heidelberg University. His doctoral thesis ''Zur Transformation der Modulargleichungen der elliptischen Functionen'' (On the transformation of the modular equations of the elliptic functions) was supervised by Leo Königsberger. In 1875 Krause habilitated at Heidelberg University with thesis ''Über die Discriminante der Modulargleichungen der elliptischen Functionen''. From 1876 to 1878 he was a ''Privatdozent'' at the University of Breslau. From 1878 to 1888 he was a professor ordinarius at the University of Rostock. In 1888 he became the successor to Axel Harnack as professor at TU Dresden ...
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Martin Krause (HeidICON 33488) (cropped)
Martin Krause (17 June 18532 August 1918) was a German concert pianist, piano teacher,James Methuen-Campbell (2001). Krause, Martin. '' Grove Music Online'', Oxford University Press music critic, and writer. Career Krause was born in Lobstädt, Saxony as the youngest son of the choirmaster and church schoolmaster Johann Carl Friedrich Krause in Lobstädt. He initially attended the teacher training college in Borna, then at the Leipzig Conservatory with and Carl Reinecke. He performed on the concert platform in 1878–80 but stopped because of a nervous breakdown. In 1882, he became a pupil of Franz Liszt and studied his technique; he was later among Liszt's most prominent promoters. Krause later established himself as a piano teacher and writer on music in Leipzig, where he was one of the founders of the Franz-Liszt-Verein association. From 1900, he also taught in Dresden. From 1901, Krause worked as a professor at the Royal Academy of Music in Munich, and from at least ...
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Herbert Kraus
Herbert Kraus (2 January 1884 – 15 March 1965) was a German professor of public international law. He was the first director of the Institute of International Law at the University of Göttingen. Due to his criticism of Nazism he was forced to retire between 1937 and 1945. Early life and education (1884-1928) Herbert Kraus was born in Rostock. He studied law from 1904 to 1908 in Heidelberg, Leipzig and Berlin. In 1908 he completed his Ph.D. and completed his 2nd State Law Exam (German Bar Admission) in Saxony in 1911. During a subsequent stay at Columbia University and Harvard University he completed his habilitation on “The Monroe Doctrine and its relations with American Diplomacy and Public International Law” (''”Die Monroedoktrin und ihre Beziehung zur Amerikanischen Diplomatie und zum Völkerrecht“'') . He spent the winter term 1913/1914 in Paris at the Sorbonne and received his habilitation in summer 1914 from the University of Leipzig. During World War I Kraus se ...
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University Of Königsberg 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 in ...
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19th-century German Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ...
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1920 Deaths
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 Slipkno ...
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1851 Births
Events January–March * January 11 – Hong Xiuquan officially begins the Taiping Rebellion. * January 15 – Christian Female College, modern-day Columbia College, receives its charter from the Missouri General Assembly. * January 23 – The flip of a coin, subsequently named Portland Penny, determines whether a new city in the Oregon Territory is named after Boston, Massachusetts, or Portland, Maine, with Portland winning. * January 28 – Northwestern University is founded in Illinois. * February 1 – ''Brandtaucher'', the oldest surviving submersible craft, sinks during acceptance trials in the German port of Kiel, but the designer, Wilhelm Bauer, and the two crew escape successfully. * February 6 – Black Thursday in Australia: Bushfires sweep across the state of Victoria, burning about a quarter of its area. * February 12 – Edward Hargraves claims to have found gold in Australia. * February 15 – In Boston, Massachusetts, ...
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Quasi-Monte Carlo Method
In numerical analysis, the quasi-Monte Carlo method is a method for numerical integration and solving some other problems using low-discrepancy sequences (also called quasi-random sequences or sub-random sequences). This is in contrast to the regular Monte Carlo method or Monte Carlo integration, which are based on sequences of pseudorandom numbers. Monte Carlo and quasi-Monte Carlo methods are stated in a similar way. The problem is to approximate the integral of a function ''f'' as the average of the function evaluated at a set of points ''x''1, ..., ''x''''N'': : \int_ f(u)\,u \approx \frac\,\sum_^N f(x_i). Since we are integrating over the ''s''-dimensional unit cube, each ''x''''i'' is a vector of ''s'' elements. The difference between quasi-Monte Carlo and Monte Carlo is the way the ''x''''i'' are chosen. Quasi-Monte Carlo uses a low-discrepancy sequence such as the Halton sequence, the Sobol sequence, or the Faure sequence, whereas Monte Carlo uses a pseudorandom sequence ...
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The Grave Of Prof Martin Krause, Johannisfriedhof, Dresden
''The'' () is a grammatical Article (grammar), article in English language, English, denoting persons or things already mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the Most common words in English, most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with pronouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant s ...
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Saxon Academy Of Sciences
The Saxon Academy of Sciences and Humanities in Leipzig (german: Sächsische Akademie der Wissenschaften zu Leipzig) is an institute which was founded in 1846 under the name ''Royal Saxon Society for the Sciences'' (german: Königlich Sächsische Gesellschaft der Wissenschaften). Notable members * Eberhard Ackerknecht * Kurt Aland * Annette Beck-Sickinger * Walther Bothe * Alexander Cartellieri * James Chadwick * Otto Clemen * Bernard Comrie * Peter Debye * Johann Paul von Falkenstein * Theodor Frings * Horst Fuhrmann * Bernhard Hänsel * Werner Heisenberg * Gustav Hertz * Archibald Vivian Hill * Cuno Hoffmeister * Ernst Joest *Elisabeth Karg-Gasterstädt * Jörg Kärger * Hermann Kolbe * Foteini Kolovou * Walter König * Hermann August Korff * Hellmut Kretzschmar * August Krogh * Christoph Krummacher * Ursula Lehr * Volker Leppin * Rolf Lieberwirth * Heiner Lück * Heinrich Magirius * Karl Mannsfeld * Theodor Mommsen * August Ferdinand Möbius * Karl Alexander Mül ...
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German Mathematical Society
The German Mathematical Society (german: Deutsche Mathematiker-Vereinigung, DMV) is the main professional society of German mathematicians and represents German mathematics within the European Mathematical Society (EMS) and the International Mathematical Union (IMU). It was founded in 1890 in Bremen with the set theorist Georg Cantor as first president. Founding members included Georg Cantor, Felix Klein, Walther von Dyck, David Hilbert, Hermann Minkowski, Carl Runge, Rudolf Sturm, Hermann Schubert, and Heinrich Weber. The current president of the DMV is Ilka Agricola (2021–2022). Activities In honour of its founding president, Georg Cantor, the society awards the Cantor Medal. The DMV publishes two scientific journals, the ''Jahresbericht der DMV'' and ''Documenta Mathematica''. It also publishes a quarterly magazine for its membership the ''Mitteilungen der DMV''. The annual meeting of the DMV is called the ''Jahrestagung''; the DMV traditionally meets every four y ...
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Elliptic Function
In the mathematical field of complex analysis, elliptic functions are a special kind of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Originally those integrals occurred at the calculation of the arc length of an ellipse. Important elliptic functions are Jacobi elliptic functions and the Weierstrass \wp-function. Further development of this theory led to hyperelliptic functions and modular forms. Definition A meromorphic function is called an elliptic function, if there are two \mathbb- linear independent complex numbers \omega_1,\omega_2\in\mathbb such that : f(z + \omega_1) = f(z) and f(z + \omega_2) = f(z), \quad \forall z\in\mathbb. So elliptic functions have two periods and are therefore also called ''doubly periodic''. Period lattice and fundamental domain Iff is an elliptic function with periods \omega_1,\omega_2 it also holds that : f(z+\gamma)=f(z) for every linear ...
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