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Vladimir Arnold Vladimir Igorevich Arnold (alternative spelling Arnol'd, Russian: Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010)[3][4][1] was a Soviet and Russian mathematician. While he is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, he made important contributions in several areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, symplectic geometry, differential equations, classical mechanics, hydrodynamics and singularity theory, including posing the ADE classification ADE classification problem, since his first main result—the solution of Hilbert's thirteenth problem in 1957 at the age of 19. Arnold was also known as a popularizer of mathematics [...More...]  "Vladimir Arnold" on: Wikipedia Yahoo 

Odessa Odessa Odessa or Odesa (Ukrainian: Оде́са [ɔˈdɛsɐ]; Russian: Оде́сса [ɐˈdʲesə]) is the third most populous city of Ukraine Ukraine and a major tourism center, seaport and transportation hub located on the northwestern shore of the Black Sea. It is also the administrative center of the Odessa Oblast Odessa Oblast and a multiethnic cultural center. Odessa Odessa is sometimes called the "pearl of the Black Sea",[2] the "South Capital" (under the Russian Empire Russian Empire and Soviet Union), and "Southern Palmyra".[3] Before the establishment of Odessa, an ancient Greek settlement existed at its location [...More...]  "Odessa" on: Wikipedia Yahoo 

Ukrainian SSR The Ukrainian Soviet Socialist Republic (Ukrainian SSR or UkrSSR or UkSSR; Ukrainian: Украї́нська Радя́нська Соціалісти́чна Респу́бліка, Украї́нська РСР, УССР ; Russian: Украи́нская Сове́тская Социалисти́ческая Респу́блика, Украи́нская ССР , УССР ; see "Name" section below), also known as the Soviet Ukraine, was one of the constituent republics of the Soviet Union from its inception in 1922 to its breakup in 1991.[7] The republic was governed by the Communist Party of Ukraine as a unitary oneparty socialist soviet republic. The Ukrainian SSR was a founding member of the United Nations,[8] although it was legally represented by the AllUnion state in its affairs with countries outside of the Soviet Union [...More...]  "Ukrainian SSR" on: Wikipedia Yahoo 

Stability Theory In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle. In partial differential equations one may measure the distances between functions using Lp norms or the sup norm, while in differential geometry one may measure the distance between spaces using the Gromov–Hausdorff distance. In dynamical systems, an orbit is called Lyapunov stable if the forward orbit of any point is in a small enough neighborhood or it stays in a small (but perhaps, larger) neighborhood [...More...]  "Stability Theory" on: Wikipedia Yahoo 

Mathematician A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems. Mathematics Mathematics is concerned with numbers, data, quantity, structure, space, models, and change.Contents1 History 2 Required education 3 Activities3.1 Applied mathematics 3.2 Abstract mathematics 3.3 Mathematics Mathematics teaching 3.4 Consulting4 Occupations 5 Quotations about mathematicians 6 Prizes in mathematics 7 Mathematical autobiographies 8 See also 9 Notes 10 References 11 Further reading 12 External linksHistory This section is on the history of mathematicians [...More...]  "Mathematician" on: Wikipedia Yahoo 

Russian Language Russian (Russian: ру́сский язы́к, tr. rússkiy yazýk) is an East Slavic language East Slavic language and an official language in Russia, Belarus, Kazakhstan, Kyrgyzstan Kyrgyzstan and many minor or unrecognised territories throughout Eurasia Eurasia (particularly in Eastern Europe, the Baltics, the Caucasus, and Central Asia). It is an unofficial but widely spoken language in Latvia, Moldova, Ukraine Ukraine and to a lesser extent, the other postSoviet states.[31][32] Russian belongs to the family of IndoEuropean languages IndoEuropean languages and is one of the four living members of the East Slavic languages Slavic languages (which in turn is part of the larger BaltoSlavic branch) [...More...]  "Russian Language" on: Wikipedia Yahoo 

Nikolay Nekhoroshev Nikolai Nikolaevich Nekhoroshev (Russian: Николай Николаевич Нехорошев; 2 October 1946 – 18 October 2008) was a prominent Soviet Russian mathematician, specializing in classical mechanics and dynamical systems. His research concerned Hamiltonian mechanics, perturbation theory, celestial mechanics, integrable systems, dynamical systems, the quasiclassical approximation, and singularity theory. He proved, in particular, a stability result in KAMtheory stating that, under certain conditions, solutions of nearly integrable systems stay close to invariant tori for exponentially long times (Giorgilli 1989). Nekhoroshev was professor of the Moscow State University and University of Milan. He is an alumnus of Moscow's boarding school no. 18 (1964). References[edit]Nekhoroshev, N.N [...More...]  "Nikolay Nekhoroshev" on: Wikipedia Yahoo 

Doctoral Advisor A doctoral advisor (also dissertation director or dissertation advisor) is a member of a university faculty whose role is to guide graduate students who are candidates for a doctorate, helping them select coursework, as well as shaping, refining and directing the students' choice of subdiscipline in which they will be examined or on which they will write a dissertation.[1] Students generally choose advisors based on their areas of interest within their discipline, their desire to work closely with particular graduate faculty, and the willingness and availability of those faculty to work with them. In some countries, the student's advisor serves as the chair of the doctoral examination or dissertation committees. In some cases, though, the person who serves those roles may be different from the faculty member who has most closely advised the student [...More...]  "Doctoral Advisor" on: Wikipedia Yahoo 

Steklov Institute Of Mathematics Steklov Institute of Mathematics 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 Mathematics in Leningrad. In 1934, this institute was split into separate parts for physics and mathematics, and the mathematical part became the Steklov Institute.[1] At the same time, it was moved to Moscow.[2] The first director of the Steklov Institute was Ivan Matveyevich Vinogradov[3] From 19611964, the institute's director was the notable mathematician Sergei Chernikov.[4] The old building of the Institute in Leningrad became its Department in Leningrad. Today, that department has become a separate institute, called the St [...More...]  "Steklov Institute Of Mathematics" on: Wikipedia Yahoo 

Paris Dauphine University Paris Paris Dauphine University (French: Université ParisDauphine), often referred to as Paris Paris Dauphine or Dauphine, is a public research and higher education institution in Paris, France. Dauphine was founded as a faculty of economics and management in 1968 in the former NATO headquarters in western Paris, in the 16th arrondissement. Dauphine is renowned for its teaching in finance, economics, law, finance and mathematics and business strategy.[1] Dauphine is a selective university with the status of "Grand Etablissement"; this unique legal status within the French higher education system allows Dauphine to make an entrance selection of its students.[2] On average, 90 to 95% of the accepted students received either high distinctions or the highest distinctions at their French High School National Exam results (Examen National du Baccalauréat).[3] Dauphine is also a founding member, and now a constituent college, of Université PSL [...More...]  "Paris Dauphine University" on: Wikipedia Yahoo 

Mathematics Mathematics Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity,[1] structure,[2] space,[1] and change.[3][4][5] It has no generally accepted definition.[6][7] Mathematicians seek out patterns[8][9] and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist [...More...]  "Mathematics" on: Wikipedia Yahoo 

Lenin Prize The Lenin Lenin Prize (Russian: Ленинская премия, Leninskaya premiya) was one of the most prestigious awards of the Soviet Union, presented to individuals for accomplishments relating to science, literature, arts, architecture, and technology. It was created on June 23, 1925 and was awarded until 1934. During the period from 1935 to 1956, the Lenin Lenin Prize was not awarded, being replaced largely by the Stalin Prize. On August 15, 1956, it was reestablished, and continued to be awarded on every evennumbered year until 1990. The award ceremony was April 22, Lenin's birthday. The Lenin Lenin Prize is different from the Lenin Lenin Peace Prize, which was awarded to foreign citizens rather than to citizens of the Soviet Union, for their contributions to the peace cause [...More...]  "Lenin Prize" on: Wikipedia Yahoo 

Dannie Heineman Prize For Mathematical Physics Dannie Heineman Dannie Heineman Prize for Mathematical Physics is an award given each year since 1959 jointly by the American Physical Society American Physical Society and American Institute of Physics. It is established by the Heineman Foundation in honour of Dannie Heineman. As of 2010, the prize consists of US$ 10,000 and a certificate citing the contributions made by the recipient plus travel expenses to attend the meeting at which the prize is bestowed. Past Recipients[edit]2017 Carl M. Bender 2016 Andrew Strominger Andrew Strominger and Cumrun Vafa 2015 Pierre Ramond 2014 Gregory W [...More...]  "Dannie Heineman Prize For Mathematical Physics" on: Wikipedia Yahoo 

Wolf Prize The Wolf Prize is an international award granted in Israel, that has been presented most years since 1978 to living scientists and artists for "achievements in the interest of mankind and friendly relations among people ... irrespective of nationality, race, colour, religion, sex or political views."Contents1 History 2 See also 3 References 4 External linksHistory[edit] The prize is awarded in Israel Israel by the Wolf Foundation, founded by Dr Ricardo Wolf, a Germanborn inventor and former Cuban ambassador to Israel. It is awarded in six fields: Agriculture, Chemistry, Mathematics, Medicine, Physics, and an Arts prize that rotates between architecture, music, painting, and sculpture. Each prize consists of a diploma and US$100,000 [...More...]  "Wolf Prize" on: Wikipedia Yahoo 

Soviet Union The Soviet Union Soviet Union (Russian: Сове́тский Сою́з, tr. Sovétsky Soyúz, IPA: [sɐˈvʲɛt͡skʲɪj sɐˈjus] ( listen)), officially the Union of Soviet Socialist Republics (Russian: Сою́з Сове́тских Социалисти́ческих Респу́блик, tr. Soyúz Sovétskikh Sotsialistícheskikh Respúblik, IPA: [sɐˈjus sɐˈvʲɛtskʲɪx sətsɨəlʲɪsˈtʲitɕɪskʲɪx rʲɪˈspublʲɪk] ( listen)), abbreviated as the USSR (Russian: СССР, tr. SSSR), was a socialist state in Eurasia Eurasia that existed from 1922 to 1991. Nominally a union of multiple national Soviet republics,[a] its government and economy were highly centralized. The country was a oneparty state, governed by the Communist Party with Moscow Moscow as its capital in its largest republic, the Russian Soviet Federative Socialist Republic [...More...]  "Soviet Union" on: Wikipedia Yahoo 

Paris 1 French Land Register data, which excludes lakes, ponds, glaciers > 1 km2 (0.386 sq mi or 247 acres) and river estuaries. 2 Population without double counting: residents of multiple communes (e.g., students and military personnel) only counted once. Paris Paris (French pronunciation: [paʁi] ( listen)) is the capital and most populous city in France, with an administrativelimits area of 105 square kilometres (41 square miles) and an official population of 2,206,488 (2015).[5] The city is a commune and department, and the heart of the 12,012squarekilometre (4 [...More...]  "Paris" on: Wikipedia Yahoo 