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Mergelyan
Sergey Mergelyan ( hy, Սերգեյ Մերգելյան; 19 May 1928 – 20 August 2008) was a Soviet Armenian mathematician, who made major contributions to the Approximation Theory. The modern Complex Approximation Theory is based on Mergelyan's classical work. Corresponding Member Academy of Sciences of USSR (since 1953), member of NAS ASSR (since 1956). The surname "Mergelov" given at birth was changed for patriotic reasons to the more Armenian-sounding "Mergelyan" by the mathematician himself before his trip to Moscow. He was a laureate of the USSR State Prize (1952) and the Order of St. Mesrop Mashtots (2008). He was the youngest Doktor nauk in the history of the USSR (at the age of 20), and the youngest corresponding member of the USSR Academy of Sciences (the title was conferred at the age of 24). During his postgraduate studies, the 20-year-old Mergelyan solved one of the fundamental problems of the mathematical theory of functions, which had not been solved for more ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mergelyan Theorem
Mergelyan's theorem is a result from approximation by polynomials in complex analysis proved by the Armenian mathematician Sergei Mergelyan in 1951. Statement :Let ''K'' be a compact subset of the complex plane C such that C∖''K'' is connected. Then, every continuous function ''f'' : ''K''\to C, such that the restriction ''f'' to int(''K'') is holomorphic, can be approximated uniformly on ''K'' with polynomials. Here, int(''K'') denotes the interior of ''K''. Mergelyan's theorem also holds for open Riemann surfaces :If ''K'' is a compact set without holes in an open Riemann surface ''X'', then every function in \mathcal (K) can be approximated uniformly on K by functions in \mathcal(X). Mergelyan's theorem does not always hold in higher dimensions (spaces of several complex variables), but it has some consequences. History Mergelyan's theorem is a generalization of the Weierstrass approximation theorem and Runge's theorem. In the case that C∖''K'' is ''not'' connecte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mergelyan's Theorem
Mergelyan's theorem is a result from approximation by polynomials in complex analysis proved by the Armenian mathematician Sergei Mergelyan in 1951. Statement :Let ''K'' be a compact subset of the complex plane C such that C∖''K'' is connected. Then, every continuous function ''f'' : ''K''\to C, such that the restriction ''f'' to int(''K'') is holomorphic, can be approximated uniformly on ''K'' with polynomials. Here, int(''K'') denotes the interior of ''K''. Mergelyan's theorem also holds for open Riemann surfaces :If ''K'' is a compact set without holes in an open Riemann surface ''X'', then every function in \mathcal (K) can be approximated uniformly on K by functions in \mathcal(X). Mergelyan's theorem does not always hold in higher dimensions (spaces of several complex variables), but it has some consequences. History Mergelyan's theorem is a generalization of the Weierstrass approximation theorem and Runge's theorem. In the case that C∖''K'' is ''not' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simferopol
Simferopol () is the second-largest city in the Crimea, Crimean Peninsula. The city, along with the rest of Crimea, is internationally recognised as part of Ukraine, and is considered the capital of the Autonomous Republic of Crimea. However, it is under the ''de facto'' control of Russia, which Annexation of Crimea by the Russian Federation, annexed Crimea in 2014 and regards Simferopol as the capital of the Republic of Crimea. Simferopol is an important political, economic and transport hub of the peninsula, and serves as the administrative centre of both Simferopol Municipality and the surrounding Simferopol District. After the 1784 Annexation of Crimea by the Russian Empire, annexation of the Crimean Khanate by the Russian Empire, the Russian empress decreed the foundation of the city with the name Simferopol on the location of the Crimean Tatars, Crimean Tatar town of Aqmescit ("White Mosque"). The population was Etymologies The name Simferopol ( uk, Сімферо́ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Artashes Shahinyan
Artashes Shahinian ( hy, Արտաշես Շահինյան, December 19, 1906 – May 14, 1978) was an Armenian mathematician, Doctor of Sciences in Physics and Mathematics (1944), Professor (1944), and member of the Armenian Academy of Sciences (1947, (1947, correspondent member 1945). Deserved scientist of ArmSSR (1961). He worked in complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ..., and besides research papers, he also authored texts and research monographs in mathematics. Being a talented mentor and professor, Shahinian was a teacher and research supervisor for many young gifted mathematicians. He is the founder of the Armenian research mathematical school, which already in the 1940s and early 1950s was known internationally. Academician Shahinian was also know ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mstislav Keldysh
Mstislav Vsevolodovich Keldysh (russian: Мстисла́в Все́володович Ке́лдыш; – 24 June 1978) was a Soviet mathematician who worked as an engineer in the Soviet space program. He was the academician of the Academy of Sciences of the Soviet Union (1946), President of the Academy of Sciences of the Soviet Union (1961–1975), three-time Hero of Socialist Labour (1956, 1961, 1971), and fellow of the Royal Society of Edinburgh (1968). He was one of the key figures behind the Soviet space program. Among scientific circles of the USSR Keldysh was known by the epithet "the Chief Theoretician" in analogy with epithet "the Chief Designer" used for Sergei Korolev. Family Keldysh was born to a professional family of Russian nobility. His grandfather, Mikhail Fomich Keldysh (1839–1920), was a military physician, who retired with the military rank of General. Keldysh's grandmother, Natalia Keldysh (née Brusilova), was a cousin of general Aleksei Brusilov. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indira Gandhi
Indira Priyadarshini Gandhi (; Given name, ''née'' Nehru; 19 November 1917 – 31 October 1984) was an Indian politician and a central figure of the Indian National Congress. She was elected as third prime minister of India in 1966 and was also the first and, to date, only female prime minister of India. Gandhi was the daughter of Jawaharlal Nehru, the first prime minister of India. She served as prime minister from January 1966 to March 1977 and again from January 1980 until Assassination of Indira Gandhi, her assassination in October 1984, making her the second longest-serving Indian prime minister after her father. During Nehru's premiership from 1947 to 1964, Gandhi was considered a key assistant and accompanied him on his numerous foreign trips. She was elected president of the Indian National Congress in 1959. Upon her father's death in 1964, she was appointed as a member of the Rajya Sabha (upper house) and became a member of Lal Bahadur Shastri ministry, Lal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soviet Academy Of Sciences
The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991, uniting the country's leading scientists, subordinated directly to the Council of Ministers of the Soviet Union (until 1946 – to the Council of People's Commissars of the Soviet Union). In 1991, by the decree of the President of the Russian Soviet Federative Socialist Republic, the Russian Academy of Sciences was established on the basis of the Academy of Sciences of the Soviet Union. History Creation of the Academy of Sciences of the Soviet Union The Academy of Sciences of the Soviet Union was formed by a resolution of the Central Executive Committee and the Council of People's Commissars of the Soviet Union dated July 27, 1925 on the basis of the Russian Academy of Sciences (before the February Revolution – the Imperial Saint Petersburg Academy of Sciences). In the first years of Soviet Russia, the Institute of the Academy of Sciences was perceived rath ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Function
In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f: U \to \mathbb R, where is an open subset of that satisfies Laplace's equation, that is, : \frac + \frac + \cdots + \frac = 0 everywhere on . This is usually written as : \nabla^2 f = 0 or :\Delta f = 0 Etymology of the term "harmonic" The descriptor "harmonic" in the name harmonic function originates from a point on a taut string which is undergoing harmonic motion. The solution to the differential equation for this type of motion can be written in terms of sines and cosines, functions which are thus referred to as ''harmonics''. Fourier analysis involves expanding functions on the unit circle in terms of a series of these harmonics. Considering higher dimensional analogues of the harmonics on the unit ''n''-sphere, one arrives at the spherical harmonics. These functions satisfy Laplace's equation and over time "harmonic" ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear engineering, nuclear, aerospace engineering, aerospace, mechanical engineering, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is Analyticity of holomorphic functions, analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Gelfond
Alexander Osipovich Gelfond (russian: Алекса́ндр О́сипович Ге́льфонд; 24 October 1906 – 7 November 1968) was a Soviet Union, Soviet mathematician. Gelfond–Schneider theorem, Gelfond's theorem, also known as the Gelfond-Schneider theorem is named after him. Biography Alexander Gelfond was born in Saint Petersburg, Russian Empire, the son of a professional physician and amateur philosopher Osip Gelfond. He entered the Moscow State University in 1924, started his postgraduate studies there in 1927 and obtained his Doctor of Philosophy, PhD in 1930. His advisors were Aleksandr Khinchin and Vyacheslav Stepanov. In 1930 he stayed for five months in Germany (in Berlin and Göttingen) where he worked with Edmund Landau, Carl Ludwig Siegel and David Hilbert. In 1931 he started teaching as a Professor at the Moscow State University and worked there until the last day of his life. Since 1933 he also worked at the Steklov Institute of Mathematics. In 1939 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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