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James Alexander Shohat
James Alexander Shohat (aka Jacques Chokhate (or Chokhatte), 18 November 1886, Brest-Litovsk – 8 October 1944, Philadelphia) was a Russian-American mathematician at the University of Pennsylvania who worked on the moment problem. He studied at the University of Petrograd and married the physicist Nadiascha W. Galli, the couple emigrating from Russia to the United States in 1923. He was an Invited Speaker of the ICM in 1924 at Toronto. Selected works * * * with J. Sherman: * * * * with J. D. Tamarkin: * 18 Aug. 2012 email from R. Askey: "Norman Levinson give the following paper a very strong review. On van der Pol's and non-linear differential equations, J. Appl. Phys15 (1944), 568-574 long with giving a very strong negative comment on Shohat's earlier paper on von der Pol's equation" See also * Shohat expansion *Shohat–Favard theorem In mathematics, Favard's theorem, also called the Shohat–Favard theorem, states that a sequence of polynomials satisfying a suit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brest, Belarus
Brest ( be, Брэст / Берасьце, Bieraście, ; russian: Брест, ; uk, Берестя, Berestia; lt, Brasta; pl, Brześć; yi, בריסק, Brisk), formerly Brest-Litovsk (russian: Брест-Литовск, lit=Lithuanian Brest; be, links=no, translit=Berastze Litouski (Berastze), Берасце Літоўскі (Берасце); lt, links=no, Lietuvos Brasta; pl, links=no, Brześć Litewski, ), Brest-on-the-Bug ( pl, links=no, Brześć nad Bugiem), is a city (population 350,616 in 2019) in Belarus at the border with Poland opposite the Polish city of Terespol, where the Bug (river), Bug and Mukhavets rivers meet, making it a border town. It is the capital city of the Brest Region. Brest is a historical site for many cultures, as it hosted important historical events, such as the Union of Brest and Treaty of Brest-Litovsk. Furthermore, the Brest Fortress was recognized by the Soviet Union as a Hero Fortress in honour of the defense of Brest Fortress in Jun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norman Levinson
Norman Levinson (August 11, 1912 in Lynn, Massachusetts – October 10, 1975 in Boston) was an American mathematician. Some of his major contributions were in the study of Fourier transforms, complex analysis, non-linear differential equations, number theory, and signal processing. He worked closely with Norbert Wiener in his early career. He joined the faculty of the Massachusetts Institute of Technology in 1937. In 1954, he was awarded the Bôcher Memorial Prize of the American Mathematical Society and in 1971 the Chauvenet Prize (after winning in 1970 the Lester R. Ford Award) of the Mathematical Association of America for his paper ''A Motivated Account of an Elementary Proof of the Prime Number Theorem''. In 1974 he published a paper proving that more than a third of the zeros of the Riemann zeta function lie on the critical line, a result later improved to two fifths by Conrey. He received both his bachelor's degree and his master's degree in electrical engineering from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1944 Deaths
Events Below, the events of World War II have the "WWII" prefix. January * January 2 – WWII: ** Free France, Free French General Jean de Lattre de Tassigny is appointed to command First Army (France), French Army B, part of the Sixth United States Army Group in North Africa. ** Landing at Saidor: 13,000 US and Australian troops land on Papua New Guinea, in an attempt to cut off a Japanese retreat. * January 8 – WWII: Philippine Commonwealth troops enter the province of Ilocos Sur in northern Luzon and attack Japanese forces. * January 11 ** President of the United States Franklin D. Roosevelt proposes a Second Bill of Rights for social and economic security, in his State of the Union address. ** The Nazi German administration expands Kraków-Płaszów concentration camp into the larger standalone ''Konzentrationslager Plaszow bei Krakau'' in occupied Poland. * January 12 – WWII: Winston Churchill and Charles de Gaulle begin a 2-day conference in Marrakech ... [...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] |
Mathematical Analysts
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shohat–Favard Theorem
In mathematics, Favard's theorem, also called the Shohat–Favard theorem, states that a sequence of polynomials satisfying a suitable 3-term recurrence relation is a sequence of orthogonal polynomials. The theorem was introduced in the theory of orthogonal polynomials by and , though essentially the same theorem was used by Stieltjes in the theory of continued fractions many years before Favard's paper, and was rediscovered several times by other authors before Favard's work. Statement Suppose that ''y''0 = 1, ''y''1, ... is a sequence of polynomials where ''y''''n'' has degree ''n''. If this is a sequence of orthogonal polynomials for some positive weight function then it satisfies a 3-term recurrence relation. Favard's theorem is roughly a converse of this, and states that if these polynomials satisfy a 3-term recurrence relation of the form : y_= (x-c_n)y_n - d_n y_ for some numbers ''c''''n'' and ''d''''n'', then the polynomials ''y''''n'' form an orthogonal s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Poincar%C3%A9%E2%80%93Lindstedt Method
In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary differential equations, when regular perturbation approaches fail. The method removes secular terms—terms growing without bound—arising in the straightforward application of perturbation theory to weakly nonlinear problems with finite oscillatory solutions. The method is named after Henri Poincaré, and Anders Lindstedt. Example: the Duffing equation The undamped, unforced Duffing equation is given by :\ddot + x + \varepsilon\, x^3 = 0\, for ''t'' > 0, with 0 < ''ε'' ≪ 1.J. David Logan. ''Applied Mathematics'', Second Edition, John Wiley & Sons, 1997. . Consider initial conditions : A perturbation-series ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacob Tamarkin
Jacob David Tamarkin (russian: Я́ков Дави́дович Тама́ркин, ''Yakov Davidovich Tamarkin''; 11 July 1888 – 18 November 1945) was a Russian-American mathematician best known for his work in mathematical analysis. Biography Tamarkin was born in Chernihiv, Imperial Russia to a wealthy Jewish family. His father, David Tamarkin, was a physician and his mother, Sophie Krassilschikov, was from a family of a landowner. He shares a common ancestor with the Van Leer family, sometimes spelled Von Löhr or Valar. He moved to St. Petersburg as a child and grew up there. In high school, he befriended Alexander Friedmann, a future cosmologist, with whom he wrote his first mathematics paper in 1906, and remained friends and colleagues until Friedmann's sudden death in 1925. Vladimir Smirnov was his other friend from the same gymnasium. Many years later, they coauthored a popular textbook titled "A course in higher mathematics". Tamarkin studied in St. Petersburg Unive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philadelphia
Philadelphia, often called Philly, is the largest city in the Commonwealth of Pennsylvania, the sixth-largest city in the U.S., the second-largest city in both the Northeast megalopolis and Mid-Atlantic regions after New York City. Since 1854, the city has been coextensive with Philadelphia County, the most populous county in Pennsylvania and the urban core of the Delaware Valley, the nation's seventh-largest and one of world's largest metropolitan regions, with 6.245 million residents . The city's population at the 2020 census was 1,603,797, and over 56 million people live within of Philadelphia. Philadelphia was founded in 1682 by William Penn, an English Quaker. The city served as capital of the Pennsylvania Colony during the British colonial era and went on to play a historic and vital role as the central meeting place for the nation's founding fathers whose plans and actions in Philadelphia ultimately inspired the American Revolution and the nation's inde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Painlevé Transcendents
In mathematics, Painlevé transcendents are solutions to certain nonlinear second-order ordinary differential equations in the complex plane with the Painlevé property (the only movable singularities are poles), but which are not generally solvable in terms of elementary functions. They were discovered by , , , and . History Painlevé transcendents have their origin in the study of special functions, which often arise as solutions of differential equations, as well as in the study of isomonodromic deformations of linear differential equations. One of the most useful classes of special functions are the elliptic functions. They are defined by second order ordinary differential equations whose singularities have the Painlevé property: the only movable singularities are poles. This property is rare in nonlinear equations. Poincaré and L. Fuchs showed that any first order equation with the Painlevé property can be transformed into the Weierstrass elliptic function or the Ri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard Askey
Richard Allen Askey (4 June 1933 – 9 October 2019) was an American mathematician, known for his expertise in the area of special functions. The Askey–Wilson polynomials (introduced by him in 1984 together with James A. Wilson) are on the top level of the (q-)Askey scheme, which organizes orthogonal polynomials of (q-)hypergeometric type into a hierarchy. The Askey–Gasper inequality for Jacobi polynomials is essential in de Brange's famous proof of the Bieberbach conjecture. Askey earned a B.A. at Washington University in 1955, an M.A. at Harvard University in 1956, and a Ph.D. at Princeton University in 1961. After working as an instructor at Washington University (1958–1961) and University of Chicago (1961–1963), he joined the faculty of the University of Wisconsin–Madison in 1963 as an Assistant Professor of Mathematics. He became a full professor at Wisconsin in 1968, and since 2003 was a professor emeritus. Askey was a Guggenheim Fellow, 1969–1970, which acad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
