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Vladimir Steklov (mathematician)
Vladimir Andreevich Steklov (russian: Влади́мир Андре́евич Стекло́в; 9 January 1864 – 30 May 1926) was a Prominent Russian and Soviet mathematician, mechanician and physicist. Biography Steklov was born in Nizhny Novgorod, Russia. In 1887, he graduated from the Kharkov University, where he was a student of Aleksandr Lyapunov. In 1889–1906 he worked at the Department of Mechanics of this university. He became a full professor in 1896. During 1893–1905 he also taught theoretical mechanics in the Kharkov Polytechnical Institute (now known as Kharkiv Polytechnic Institute). In 1906 he started working at Petersburg University. In 1921 he petitioned for the creation of the Institute of Physics and Mathematics. Upon his death the institute was named after him. The Mathematics Department split from the Institute in 1934. It is now known as Steklov Institute of Mathematics. A lunar impact crater is also named after him. Steklov's primary scientific contrib ...
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Nizhny Novgorod
Nizhny Novgorod ( ; rus, links=no, Нижний Новгород, a=Ru-Nizhny Novgorod.ogg, p=ˈnʲiʐnʲɪj ˈnovɡərət ), colloquially shortened to Nizhny, from the 13th to the 17th century Novgorod of the Lower Land, formerly known as Gorky (, ; 1932–1990), is the administrative centre of Nizhny Novgorod Oblast and the Volga Federal District. The city is located at the confluence of the Oka and the Volga rivers in Central Russia, with a population of over 1.2 million residents, up to roughly 1.7 million residents in the urban agglomeration. Nizhny Novgorod is the sixth-largest city in Russia, the second-most populous city on the Volga, as well as the Volga Federal District. It is an important economic, transportation, scientific, educational and cultural center in Russia and the vast Volga-Vyatka economic region, and is the main center of river tourism in Russia. In the historic part of the city there are many universities, theaters, museums and churches. The city w ...
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Steklov Institute Of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. The institute is named after Vladimir Andreevich Steklov, who in 1919 founded the Institute of Physics and Mathematics in Leningrad. In 1934, this institute was split into separate parts for physics and mathematics, and the mathematical part became the Steklov Institute. At the same time, it was moved to Moscow. The first director of the Steklov Institute was Ivan Matveyevich Vinogradov. From 19611964, the institute's director was the notable mathematician Sergei Chernikov. The old building of the Institute in Leningrad became its Department in Leningrad. Today, that department has become a separate institute, called the ''St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy ...
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USSR
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national republics; in practice, both its government and its economy were highly centralized until its final years. It was a one-party state governed by the Communist Party of the Soviet Union, with the city of Moscow serving as its capital as well as that of its largest and most populous republic: the Russian SFSR. Other major cities included Leningrad (Russian SFSR), Kiev ( Ukrainian SSR), Minsk ( Byelorussian SSR), Tashkent (Uzbek SSR), Alma-Ata (Kazakh SSR), and Novosibirsk (Russian SFSR). It was the largest country in the world, covering over and spanning eleven time zones. The country's roots lay in the October Revolution of 1917, when the Bolsheviks, under the leadership of Vladimir Lenin, overthrew the Russian Provisional Gove ...
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Göttingen Academy Of Sciences And Humanities
The Göttingen Academy of Sciences (german: Akademie der Wissenschaften zu Göttingen)Note that the German ''Wissenschaft'' has a wider meaning than the English "Science", and includes Social sciences and Humanities. is the second oldest of the seven academies of sciences in Germany. It has the task of promoting research under its own auspices and in collaboration with academics in and outside Germany. It has its seat in the university town of Göttingen. History The '' Königliche Gesellschaft der Wissenschaften'' ("Royal Society of Sciences") was founded in 1751 by King George II of Great Britain, who was also Prince-Elector of the Holy Roman Empire and Duke of Brunswick-Lüneburg (Hanover), the German state in which Göttingen was located. The first president was the Swiss natural historian and poet Albrecht von Haller. It was renamed the "Akademie der Wissenschaften zu Göttingen" in 1939. Among the learned societies in the Federal Republic of Germany, the Göttingen academy i ...
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International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ...
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Solid Mechanics
Solid mechanics, also known as mechanics of solids, is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation under the action of forces, temperature changes, phase changes, and other external or internal agents. Solid mechanics is fundamental for civil, aerospace, nuclear, biomedical and mechanical engineering, for geology, and for many branches of physics such as materials science. It has specific applications in many other areas, such as understanding the anatomy of living beings, and the design of dental prostheses and surgical implants. One of the most common practical applications of solid mechanics is the Euler–Bernoulli beam equation. Solid mechanics extensively uses tensors to describe stresses, strains, and the relationship between them. Solid mechanics is a vast subject because of the wide range of solid materials available, such as steel, wood, concrete, biological materials, textiles, geological ...
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Hydrodynamics
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation. Fluid dynamics offers a systematic structure—which underlies these practical disciplines—that embraces empirical and semi-empirical laws derived from flow measurement and used to solve practical problems. The solution to a fluid dynamics problem typically involves the calculation of various properties of the fluid, such as flow velocity, pressure, density, and temperature, as functions of space and time. Bef ...
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Steklov Function
Steklov (Cyrillic: ''Стеклов'') is a Russian last name. It may refer to: *Steklov (surname) * Steklov (crater), a lunar impact crater on the far side of the Moon * Steklov Institute of Mathematics, part of the Russian Academy of Sciences * The KGB's nickname for Norwegian Prime Minister Jens Stoltenberg Jens Stoltenberg (born 16 March 1959) is a Norwegian politician who has been serving as the 13th secretary general of NATO since 2014. A member of the Norwegian Labour Party, he previously served as the 34th prime minister of Norway from 2000 to ...
{{disambiguation, surname ...
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Generalized Fourier Series
In mathematical analysis, many generalizations of Fourier series have proved to be useful. They are all special cases of decompositions over an orthonormal basis of an inner product space. Here we consider that of square-integrable functions defined on an interval of the real line, which is important, among others, for interpolation theory. Definition Consider a set of square-integrable functions with values in \mathbb = \Complex or \mathbb = \R, \Phi = \_^\infty, which are pairwise orthogonal for the inner product \langle f, g\rangle_w = \int_a^b f(x)\,\overline(x)\,w(x)\,dx where w(x) is a weight function, and \overline\cdot represents complex conjugation, i.e., \overline(x) = g(x) for \mathbb = \R. The generalized Fourier series of a square-integrable function f : , b\to \mathbb, with respect to Φ, is then f(x) \sim \sum_^\infty c_n\varphi_n(x), where the coefficients are given by c_n = . If Φ is a complete set, i.e., an orthogonal basis of the space of all square-in ...
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Orthogonal Polynomials
In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonality, orthogonal to each other under some inner product. The most widely used orthogonal polynomials are the classical orthogonal polynomials, consisting of the Hermite polynomials, the Laguerre polynomials and the Jacobi polynomials. The Gegenbauer polynomials form the most important class of Jacobi polynomials; they include the Chebyshev polynomials, and the Legendre polynomials as special cases. The field of orthogonal polynomials developed in the late 19th century from a study of continued fractions by Pafnuty Chebyshev, P. L. Chebyshev and was pursued by Andrey Markov, A. A. Markov and Thomas Joannes Stieltjes, T. J. Stieltjes. They appear in a wide variety of fields: numerical analysis (Gaussian quadrature, quadrature rules), probability theory, representation theory (of Lie group, Lie groups, quantum group, quantum groups, and re ...
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Function (mathematics)
In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously. The set is called the domain of the function and the set is called the codomain of the function.Codomain ''Encyclopedia of Mathematics'Codomain. ''Encyclopedia of Mathematics''/ref> The earliest known approach to the notion of function can be traced back to works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a ''function'' of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the ...
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