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Rademacher
Rademacher is an occupational surname of German origin, which means "wheelmaker". It may refer to: People * Arthur Rademacher (1889–1981), Australian football player *Autumn Rademacher (born 1975), American basketball coach *Bill Rademacher (born 1942), American football player *Debbie Rademacher (born 1966), American soccer player *Erich Rademacher (1901–1979), German swimmer *Franz Rademacher (1906–1973), German diplomat * Hans Rademacher (1892–1969), German-born American mathematician *Ingo Rademacher (born 1971), Australian actor *Isaac Rademacher (born 1977), American soldier *Joachim Rademacher (1906–1970), German water polo player *Joseph Rademacher (bishop) (1840–1900), American bishop *Joseph Rademacher (soldier) (born 1985), American soldier * Mark Rademacher (1963–1983), American soldier *Pete Rademacher (1928-2020), American boxer *Rudolf Rademacher (1913–1953), German pilot Other uses *House of Rademacher, German noble family * Rademacher (band) *Radema ...
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Rudolf Rademacher
Rudolf "Rudi" Rademacher (19 June 1913 – 13 June 1953) was a German military aviator who served in the Luftwaffe during World War II. As a fighter ace, he was credited with 97, potentially up to 126, aerial victories—that is, 97 aerial combat encounters resulting in the destruction of the enemy aircraft—claimed in over 500 combat missions. The majority of his victories were claimed over the Eastern Front, with sixteen claims over the Western Front, all of which were achieved while flying the Messerschmitt Me 262 jet fighter. Rademacher was born on 19 June 1913 in Lüneburg, Province of Hanover, a province of the Kingdom of Prussia. He served in the Luftwaffe of Nazi Germany. Following flight training, he was posted to ''Jagdgeschwader'' 54 (JG 54—54th Fighter Wing) in 1941, operating on the Eastern Front. He claimed his first aerial victory on 9 January 1942. In March 1943, Rademacher joined ''Schwarm'', flight of four aircraft, headed by Walter Nowotny, the mo ...
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Ingo Rademacher
Ingo Rademacher (born 22 April 1971) is a German-Australian television actor best known for his role of Jasper "Jax" Jacks on the American daytime soap opera '' General Hospital'', which he played almost continuously from 1996 to 2021. In 2012, he played Officer Sacks in the film ''Alex Cross''. Rademacher placed 5th on the 16th season of ''Dancing with the Stars'' in 2013. Career '' General Hospital'' producer Wendy Riche saw his (unsuccessful) audition tape for the soap opera '' The City'' and immediately cast him as suave tycoon Jasper "Jax" Jacks. a role he played from 1996 to 2013, and then on and off from 2016 to 2021. During a one-year break from ''General Hospital'', Rademacher appeared on the short-lived 2000 primetime soap opera ''Titans''. Jax reappeared on ''General Hospital'' on 23 August 2012. He returned to the show for a several-week-long story arc in 2016. That same year, he also had a recurring role as Robert Coughlin on '' Hawaii Five-0''. Rademacher was a ...
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Rademacher Complexity
In computational learning theory (machine learning and theory of computation), Rademacher complexity, named after Hans Rademacher, measures richness of a class of real-valued functions with respect to a probability distribution. Definitions Rademacher complexity of a set Given a set A\subseteq \mathbb^m, the Rademacher complexity of ''A'' is defined as follows:Chapter 26 in : \operatorname(A) := \frac \mathbb_\sigma \left \sup_ \sum_^m \sigma_i a_i \right where \sigma_1, \sigma_2, \dots, \sigma_m are independent random variables drawn from the Rademacher distribution i.e. \Pr(\sigma_i = +1) = \Pr(\sigma_i = -1) = 1/2 for i=1,2,\dots,m, and a=(a_1, \ldots, a_m). Some authors take the absolute value of the sum before taking the supremum, but if A is symmetric this makes no difference. Rademacher complexity of a function class Let S=(z_1, z_2, \dots, z_m) \in Z^m be a sample of points and consider a function class \mathcal of real-valued functions over Z^m. Then ...
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Pete Rademacher
Thomas Peter Rademacher (November 20, 1928 – June 4, 2020) was an American heavyweight boxer. A gold medalist at the 1956 Olympics, he became the only person to challenge for the world heavyweight championship in his first professional bout when he faced Floyd Patterson in Seattle on August 22, 1957. He compiled a 15-8-1 record over 23 professional bouts. A former college football player at Washington State, Rademacher took up boxing as a form of rehabilitation during his recovery from rheumatic fever, which he contracted in military school. Amateur career In his amateur career, Rademacher won 72 bouts and lost 7. He won a series of tournaments, including the 1949 and 1951–1953 Seattle Golden Gloves (he lost in 1950 to Zora Folley, who was his frequent opponent throughout his boxing career), and the US Amateur Championship as a heavyweight in 1953—avenging his earlier loss to Folley. He captured the Chicago Golden Gloves, the All-Army championship, and the Ser ...
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Hans Rademacher
Hans Adolph Rademacher (; 3 April 1892, Wandsbeck, now Hamburg-Wandsbek – 7 February 1969, Haverford, Pennsylvania, USA) was a German-born American mathematician, known for work in mathematical analysis and number theory. Biography Rademacher received his Ph.D. in 1916 from Georg-August-Universität Göttingen; Constantin Carathéodory supervised his dissertation. In 1919, he became ''privatdozent'' under Constantin Carathéodory at University of Berlin. In 1922, he became an assistant professor at the University of Hamburg, where he supervised budding mathematicians like Theodor Estermann. He was dismissed from his position at the University of Breslau by the Nazis in 1933 due to his public support of the Weimar Republic, and emigrated from Europe in 1934. After leaving Germany, he moved to Philadelphia and worked at the University of Pennsylvania until his retirement in 1962; he held the Thomas A. Scott Professorship of Mathematics at Pennsylvania from 1956 to 1962. Rademac ...
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Rademacher System
Rademacher is an occupational surname of German origin, which means "wheelmaker". It may refer to: People *Arthur Rademacher (1889–1981), Australian football player * Autumn Rademacher (born 1975), American basketball coach * Bill Rademacher (born 1942), American football player *Debbie Rademacher (born 1966), American soccer player * Erich Rademacher (1901–1979), German swimmer * Franz Rademacher (1906–1973), German diplomat * Hans Rademacher (1892–1969), German-born American mathematician * Ingo Rademacher (born 1971), Australian actor * Isaac Rademacher (born 1977), American soldier * Joachim Rademacher (1906–1970), German water polo player * Joseph Rademacher (bishop) (1840–1900), American bishop * Joseph Rademacher (soldier) (born 1985), American soldier * Mark Rademacher (1963–1983), American soldier *Pete Rademacher Thomas Peter Rademacher (November 20, 1928 – June 4, 2020) was an American heavyweight boxer. A gold medalist at the 1956 Olympics, he bec ...
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Rademacher Distribution
In probability theory and statistics, the Rademacher distribution (which is named after Hans Rademacher) is a discrete probability distribution where a random variate ''X'' has a 50% chance of being +1 and a 50% chance of being -1. A series (that is, a sum) of Rademacher distributed variables can be regarded as a simple symmetrical random walk where the step size is 1. Mathematical formulation The probability mass function of this distribution is : f(k) = \left\{\begin{matrix} 1/2 & \mbox {if }k=-1, \\ 1/2 & \mbox {if }k=+1, \\ 0 & \mbox {otherwise.}\end{matrix}\right. In terms of the Dirac delta function, as : f( k ) = \frac{ 1 }{ 2 } \left( \delta \left( k - 1 \right) + \delta \left( k + 1 \right) \right). Bounds on sums of independent Rademacher variables There are various results in probability theory around analyzing the sum of i.i.d. Rademacher variables, including concentration inequalities such as Bernstein inequalities as well as anti-concentration inequal ...
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Arthur Rademacher
George Arthur Rademacher (27 November 1889 – 26 September 1981) was an Australian rules footballer who played with South Melbourne in the Victorian Football League (VFL). Family The son of John Franz Ludwig Rademacher (1862-1945), and Annie Louisa Rademacher (-1932), née Price, George Arthur Rademacher was born in South Melbourne, Victoria on 27 November 1889. He married Annie Eva Battersby in 1918. He died in Ringwood, Victoria Ringwood is an eastern suburb of Melbourne, Victoria, Australia, east of Melbourne's Central Business District, located within the City of Maroondah local government area. Ringwood recorded a population of 19,144 at the 2021 census. Ringwood ... on 26 September 1981. Football Rademacher, originally from Leopold (a club based in South Melbourne). He played in the side which lost the 1914 Grand Final to Carlton. He was a half back flanker in South Melbourne's 1918 premiership team. He played the first two games for South Melbourne in 1920, ...
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Joseph Rademacher (soldier)
''Brothers at War'' is a 2009 documentary film directed by Jake Rademacher and produced by Rademacher and Norman S. Powell. The film follows several US soldiers in the Iraq War. The film's executive producers are actor, director, and Presidential Citizens Medal recipient Gary Sinise and Secretary of Defense Medal for Outstanding Public Service recipient David Scantling. ''Brothers at War'' won the Best Documentary Feature Award at the 2008 GI Film Festival. The film features an original score by Lee Holdridge and an original song--"Brothers in Arms"—by John Ondrasik of Five for Fighting. Synopsis Filmmaker Jake Rademacher sets out to understand the motivation, sacrifice and experience of his two younger brothers, Isaac and Joe, serving in Iraq. The film depicts the toll the life-threatening work and separation take on the parents, siblings, wives and children of the soldiers. As the film develops, however, it becomes clear that an underlying motivation for Jake is to prove hi ...
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Joseph Rademacher (bishop)
Joseph Rademacher (December 3, 1840 – June 12, 1900) was an American prelate of the Roman Catholic Church. He served as bishop of the Diocese of Nashville in Tennessee from 1883 to 1893 and as bishop of the Diocese of Fort Wayne in Indiana from 1893 until his death in 1900. Biography Early life Joseph Rademacher was born on December 3, 1840, in Westphalia, Michigan, to Bernard and Theresia (née Platte) Rademacher, both German immigrants. In 1855, he began his classical and philosophical studies under the Benedictines at St. Vincent's College in Latrobe, Pennsylvania. He completed his theological studies at St. Michael's Seminary in Pittsburgh. Priesthood Rademacher was ordained to the priesthood for the Diocese of Fort Wayne by Bishop John Luers on August 2, 1863. He then served as the first resident pastor in Attica, Indiana, also attending to the nearby missions. In 1870, he was transferred to a parish in Columbia City, Indiana. In 1872, Rademacher was appoint ...
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Rademacher's Theorem
In mathematical analysis, Rademacher's theorem, named after Hans Rademacher, states the following: If is an open subset of and is Lipschitz continuous, then is differentiable almost everywhere in ; that is, the points in at which is ''not'' differentiable form a set of Lebesgue measure zero. Differentiability here refers to infinitesimal approximability by a linear map, which in particular asserts the existence of the coordinate-wise partial derivatives. Sketch of proof The one-dimensional case of Rademacher's theorem is a standard result in introductory texts on measure-theoretic analysis. In this context, it is natural to prove the more general statement that any single-variable function of bounded variation is differentiable almost everywhere. (This one-dimensional generalization of Rademacher's theorem fails to extend to higher dimensions.) One of the standard proofs of the general Rademacher theorem was found by Charles Morrey. In the following, let denote a Lipschitz- ...
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Franz Rademacher
Franz Rademacher (20 February 1906 – 17 March 1973) was a German lawyer and diplomat. As an official in the Nazi government of the Third Reich during World War II, he was known for initiating action on the Madagascar Plan. Nazi beginnings Rademacher was born on 20 February 1906 in Neustrelitz, Mecklenburg-Strelitz. His father was a railway engineer. He studied law in Rostock and Munich, and entered the profession as a jurist in April 1932. He held membership in the ''Sturmabteilung'' (Nazi stormtroopers) between 1932 and 1934. In 1933, he joined the Nazi Party. He was a vocal anti-semite. From 1937, he was a diplomat with the German Foreign Office, serving at the German embassy in Montevideo, Uruguay until May 1940. In 1940, he was selected to lead ''Referat D III'', or ''Judenreferat'', of Ribbentrop's Foreign Affairs Ministry. His direct superior was Nazi diplomat Martin Luther. It was during his tenure in this office, throughout the spring and summer of 1940, that Rad ...
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