D. K. Faddeev
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D. K. Faddeev
Dmitry Konstantinovich Faddeev ( rus, Дми́трий Константи́нович Фадде́ев, , ˈdmʲitrʲɪj kənstɐnʲˈtʲinəvʲɪtɕ fɐˈdʲe(j)ɪf; 30 June 1907 – 20 October 1989) was a Soviet mathematician. Biography Dmitry was born June 30, 1907, about 200 kilometers southwest of Moscow on his father's estate. His father Konstantin Tikhonovich Faddeev was an engineer while his mother was a doctor and appreciator of music who instilled the love for music in Dmitry. Friends found his piano playing entertaining. In 1928 he graduated from Petrograd State University, as it was then called. His teachers included Ivan Matveyevich Vinogradov and Boris Nicolaevich Delone. In 1930 he married Vera Nicolaevna Zamyatina and in 1934 she gave birth to Lyudvig Dmitrievich Faddeev who grew up to be a physicist. Contributions Dmitry and his wife co-authored ''Numerical Methods in Linear Algebra'' in 1960, followed by an enlarged edition in 1963. For instance, they devel ...
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Piano
The piano is a stringed keyboard instrument in which the strings are struck by wooden hammers that are coated with a softer material (modern hammers are covered with dense wool felt; some early pianos used leather). It is played using a keyboard, which is a row of keys (small levers) that the performer presses down or strikes with the fingers and thumbs of both hands to cause the hammers to strike the strings. It was invented in Italy by Bartolomeo Cristofori around the year 1700. Description The word "piano" is a shortened form of ''pianoforte'', the Italian term for the early 1700s versions of the instrument, which in turn derives from ''clavicembalo col piano e forte'' (key cimbalom with quiet and loud)Pollens (1995, 238) and ''fortepiano''. The Italian musical terms ''piano'' and ''forte'' indicate "soft" and "loud" respectively, in this context referring to the variations in volume (i.e., loudness) produced in response to a pianist's touch or pressure on the keys: the grea ...
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Soviet Student Olympiads
Soviet Student Olympiad was an annual set of contests for students in USSR. There were two separate multi-round competitions every year: for higher education (universities) and general education (starting from 7th to 10th/11th grade). Both competitions had several rounds, and winners from lower rounds would go to the next round. Not only individual members, but teams were awarded too. The main difference between two Olympiads was that the school one had separate threads for every grade, while the university one was for all students. Contest format Both Olympiads had the same format of the contests. Students would come in teams representing their location, e.g. schools or republics. Each contest could have 2-3 parts. For instance, the Republican round of University Olympiads on physics could have three parts: theory, lab and computer modeling. All students were given the same set of problems to solve. They would work on solutions strictly individually - no teamwork was allowed - and ...
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1989 Deaths
File:1989 Events Collage.png, From left, clockwise: The Cypress Street Viaduct, Cypress structure collapses as a result of the 1989 Loma Prieta earthquake, killing motorists below; The proposal document for the World Wide Web is submitted; The Exxon Valdez oil tanker runs aground in Prince William Sound, Alaska, causing a large Exxon Valdez oil spill, oil spill; The Fall of the Berlin Wall begins the downfall of Communism in Eastern Europe, and heralds German reunification; The United States United States invasion of Panama, invades Panama to depose Manuel Noriega; The Singing Revolution led to the independence of the Baltic states of Estonia, Latvia, and Lithuania from the Soviet Union; The stands of Hillsborough Stadium in Sheffield, Yorkshire, where the Hillsborough disaster occurred; 1989 Tiananmen Square protests and massacre, Students demonstrate in Tiananmen Square, Beijing; many are killed by forces of the Chinese Communist Party., 300x300px, thumb rect 0 0 200 200 1989 Loma ...
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1907 Births
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 Slipk ...
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Russian Academy Of Sciences
The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals. Peter the Great established the Academy (then the St. Petersburg Academy of Sciences) in 1724 with guidance from Gottfried Leibniz. From its establishment, the Academy benefitted from a slate of foreign scholars as professors; the Academy then gained its first clear set of goals from the 1747 Charter. The Academy functioned as a university and research center throughout the mid-18th century until the university was dissolved, leaving research as the main pillar of the institution. The rest of the 18th century continuing on through the 19th century consisted of many published academic works from Academy scholars and a few Ac ...
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Saint Petersburg Mathematical Society
The Saint Petersburg Mathematical Society (russian: Санкт-Петербургское математическое общество) is a mathematical society run by Saint Petersburg mathematicians. Historical notes The St. Petersburg Mathematical Society was founded in 1890 and was the third founded mathematical society in Russia after those of Moscow (1867) and Khar'kov (1879)... Its founder and first president was Vasily Imshenetskii Vasili, Vasily, Vasilii or Vasiliy (Russian: Василий) is a Russian masculine given name of Greek origin and corresponds to ''Basil''. It may refer to: *Vasili I of Moscow Grand Prince from 1389–1425 *Vasili II of Moscow Grand Prince fro ..., who also had founded earlier the Khar'kov Mathematical Society. The Society was dissolved and subsequently revived twice, each time changing its name: sometime in between 1905 and 1917, the society ceased to function and by 1917 it had completely dissolved, perhaps due to the social agita ...
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Russian Mathematical Surveys
''Uspekhi Matematicheskikh Nauk'' (russian: Успехи математических наук) is a Russian mathematical journal, published by the Russian Academy of Sciences and Moscow Mathematical Society and translated into English as ''Russian Mathematical Surveys''. ''Uspekhi Matematicheskikh Nauk'' was founded in 1936, with Lazar Lyusternik as its editor-in-chief. Initially, it appeared irregularly, with issues devoted to specific topics within mathematics together with non-research articles about the work of different mathematical institutes in Russia and abroad. Its third issue, in 1937, was devoted to attacks on Nikolai Luzin, but in an anniversary issue 24 years later this politicization of the journal was downplayed. After a hiatus for World War II, the journal began publishing on a regular schedule in 1946. Its translation, ''Russian Mathematical Surveys'', began in 1960 and since 1997 has been published jointly by the London Mathematical Society, Turpion Ltd, and the ...
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Faddeev–LeVerrier Algorithm
In mathematics (linear algebra), the Faddeev–LeVerrier algorithm is a recursive method to calculate the coefficients of the characteristic polynomial p_A(\lambda)=\det (\lambda I_n - A) of a square matrix, , named after Dmitry Konstantinovich Faddeev and Urbain Le Verrier. Calculation of this polynomial yields the eigenvalues of as its roots; as a matrix polynomial in the matrix itself, it vanishes by the fundamental Cayley–Hamilton theorem. Computing determinant from the definition of characteristic polynomial, however, is computationally cumbersome, because \lambda is new symbolic quantity, whereas this algorithm works directly with coefficients of matrix A. The algorithm has been independently rediscovered several times, in some form or another. It was first published in 1840 by Urbain Le Verrier, subsequently redeveloped by P. Horst, Jean-Marie Souriau, in its present form here by Faddeev and Sominsky, and further by J. S. Frame, and others. (For historical point ...
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Mathematical Exercise
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition, subtraction, multiplication, and division of integers. Extensive courses of exercises in school extend such arithmetic to rational numbers. Various approaches to geometry have based exercises on relations of angles, segments, and triangles. The topic of trigonometry gains many of its exercises from the trigonometric identities. In college mathematics exercises often depend on functions of a real variable or application of theorems. The standard exercises of calculus involve finding derivatives and integrals of specified functions. Usually instructors prepare students with worked examples: the exercise is stated, then a model answer is provided. Often several worked examples are demonstrated before students are prepared to attempt exercises on their ...
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