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Mark Naimark
Mark Aronovich Naimark (; 5 December 1909 – 30 December 1978) was a Soviet mathematician who made important contributions to functional analysis and mathematical physics. Life Naimark was born on 5 December 1909 in Odessa, part of modern-day Ukraine, but which was then part of the Russian Empire, to a Jewish family. His father was Aron Iakovlevich Naimark, a professional artist, and his mother Zefir Moiseevna. He was four years old at the onset of World War I in 1914, and seven when the tumultuous Russian Revolution began in 1917. Showing an early talent for mathematics, Naimark enrolled in a technical college at the age of fifteen in 1924 soon after the Russian Civil War had ended. There he studied while working at a foundry until enrolling in the Physics and Mathematics faculty at Odessa Institute of National Education in 1929. He married his wife Larisa Petrovna Shcherbakova in 1932, with whom he had two sons. In 1933, Naimark began graduate studies at Odessa State Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Odessa University
The Odesa I.I.Mechnykov National University (), often referred to as Odesa National University ( ONU, ), located in Odesa, Ukraine, is one of that country's major state-sponsored universities, named after the scientist Élie Metchnikoff (1845-1916), who studied immunology, microbiology, and evolutionary embryology, and won a Nobel Prize in 1908. The university was founded in 1865 by an edict of Emperor Alexander II of Russia which reorganized the Richelieu Lyceum of Odessa into the new Imperial Novorossiya University. In the Soviet era, the university was renamed Odesa I. I. Mechnykov State University ( "Odesa State University named after I. I. Mechnykov"). Odesa I. I. Mechnykov National University comprises four institutes, ten faculties, and seven specialized councils. The university is famous for its scientific library, the largest and oldest of any university in Ukraine (3,600,000 volumes, dating from the 15th century to the present day). Background Odesa I. I. Mechn ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of The Jews In Ukraine
The history of the Jews in Ukraine dates back over a thousand years; Jews, Jewish communities have existed in the modern territory of Ukraine from the time of the Kievan Rus' (late 9th to mid-13th century). Important Jewish religious and cultural movements, from Hasidism to Zionism, arose there. According to the World Jewish Congress, the Jewish community in Ukraine is Europe's fourth largest and the world's 11th largest.Ukraine World Jewish Congress. The presence of Jews in Ukrainian territory is first mentioned in the 10th century. At times Jewish life in Ukrainian lands flourished, while at other times it faced Persecution of Jews, persecution and Antisemitism in Ukraine, anti-Semitic discrimination. During the Khmelnytsky Uprising between 1648 and 1657, an army of Cossacks massacred and took large numbers of Jews, Roman Cath ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spectral Theory Of Ordinary Differential Equations
In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation, Hermann Weyl generalized the classical Sturm–Liouville theory on a finite closed interval to second order differential operators with singularities at the endpoints of the interval, possibly semi-infinite or infinite. Unlike the classical case, the spectrum may no longer consist of just a countable set of eigenvalues, but may also contain a continuous part. In this case the eigenfunction expansion involves an integral over the continuous part with respect to a spectral measure, given by the Titchmarsh– Kodaira formula. The theory was put in its final simplified form for singular differential equations of even degree by Kodaira and others, using von Neumann's spectral theorem. It has had important applications in quantum mech ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the world's countries participated, with many nations mobilising all resources in pursuit of total war. Tanks in World War II, Tanks and Air warfare of World War II, aircraft played major roles, enabling the strategic bombing of cities and delivery of the Atomic bombings of Hiroshima and Nagasaki, first and only nuclear weapons ever used in war. World War II is the List of wars by death toll, deadliest conflict in history, causing World War II casualties, the death of 70 to 85 million people, more than half of whom were civilians. Millions died in genocides, including the Holocaust, and by massacres, starvation, and disease. After the Allied victory, Allied-occupied Germany, Germany, Allied-occupied Austria, Austria, Occupation of Japan, Japan, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
GNS Theorem
GNS may refer to: Places * Binaka Airport, in Gunung Sitoli, Nias Island, Indonesia * Gainesville station (Georgia), an Amtrak station in Georgia, United States Companies and organizations * Gesellschaft für Nuklear-Service, a German nuclear-waste services company * Ghana Nuclear Society, nuclear energy advocacy organization * Glenlyon Norfolk School in Victoria, British Columbia, Canada * GNS Healthcare, an American data analytics company * GNS Science, a New Zealand earth-science research institute * Gordon-North Sydney Hockey Club, based in Sydney, Australia * Government of National Salvation, in Serbia during the Second World War * Gunns, a defunct Australian timber company * Government of National Stability, an unrecognized provisional government of Libya Other uses * Gelfand–Naimark–Segal construction, a theorem in functional analysis * General News Service, a BBC-internal news-distribution service * GEOnet Names Server, a database of place names and locations * Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moscow
Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents within the city limits, over 19.1 million residents in the urban area, and over 21.5 million residents in Moscow metropolitan area, its metropolitan area. The city covers an area of , while the urban area covers , and the metropolitan area covers over . Moscow is among the world's List of largest cities, largest cities, being the List of European cities by population within city limits, most populous city entirely in Europe, the largest List of urban areas in Europe, urban and List of metropolitan areas in Europe, metropolitan area in Europe, and the largest city by land area on the European continent. First documented in 1147, Moscow became the capital of the Grand Principality of Moscow, which led the unification of the Russian lan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tashkent
Tashkent (), also known as Toshkent, is the Capital city, capital and List of cities in Uzbekistan, largest city of Uzbekistan. It is the most populous city in Central Asia, with a population of more than 3 million people as of April 1, 2024. It is located in northeastern Uzbekistan, near the border with Kazakhstan. Before the influence of Islam in the mid-8th century AD, Sogdian people, Sogdian and Turkic people, Turkic culture was predominant. After Genghis Khan destroyed the city in 1219, it was rebuilt and profited from its location on the Silk Road. From the 18th to the 19th centuries, the city became an Tashkent (1784), independent city-state, before being re-conquered by the Khanate of Kokand. In 1865, Tashkent fell to the Russian Empire; as a result, it became the capital of Russian Turkestan. In Soviet Union, Soviet times, it witnessed major growth and demographic changes due to Population transfer in the Soviet Union, forced deportations from throughout the Soviet Unio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1941 Odessa Massacre
The Odessa massacre was the mass murder of the Jewish population of Odessa and surrounding towns in the Transnistria Governorate during the autumn of 1941 and the winter of 1942 while it was under Romanian control. It was one of the worst massacres in Ukrainian territory. Depending on the accepted terms of reference and scope, the Odessa massacre refers either to the events of 22–24 October 1941 in which some 25,000 to 34,000 Jews were shot or burned, or to the murder of well over 100,000 Jews in the town and the areas between the Dniester and Bug rivers, during the Romanian and German occupation which took place following the massacre. As of 2018, it was estimated that up to 30,000 people, mostly Ukrainian Jews, were murdered in the actual massacre, which occurred 22–23 October 1941. The primary perpetrators were Romanian soldiers, Einsatzgruppe SS and local ethnic Germans. Background Before the war, Odessa had a large Jewish population of approximately 200,000, or 30% ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reichskommissariat Ukraine
The ''Reichskommissariat Ukraine'' (RKU; ) was an administrative entity of the Reich Ministry for the Occupied Eastern Territories of Nazi Germany from 1941 to 1944. It served as the German civilian occupation regime in the Ukrainian SSR, and parts of the Byelorussian SSR, Russian SFSR, and eastern Poland during the Eastern Front of World War II. ''Ukraine'' was established after the early success of the ''Wehrmacht''s Operation Barbarossa from territory under the military administration of Army Group South Rear Area. The German civil administration was based in Rovno (Rivne) with Erich Koch serving as the only '' Reichskommissar'' during its existence. ''Ukraine'' was part of the Generalplan Ost which included the genocide of the Jewish population, the expulsion and murder of some of the native non-Jewish population, the settlement of Germanic peoples, and the Germanization of the rest. The SS and their ''Einsatzgruppen'', with active participation of the Order Police ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Operation Barbarossa
Operation Barbarossa was the invasion of the Soviet Union by Nazi Germany and several of its European Axis allies starting on Sunday, 22 June 1941, during World War II. More than 3.8 million Axis troops invaded the western Soviet Union along a front, with the main goal of capturing territory up to a line between Arkhangelsk and Astrakhan, known as the A-A line. The attack became the largest and costliest military offensive in history, with around 10 million combatants taking part in the opening phase and over 8 million casualties by the end of the operation on 5 December 1941. It marked a major escalation of World War II, opened the Eastern Front—the largest and deadliest land war in history—and brought the Soviet Union into the Allied powers. The operation, code-named after the Holy Roman Emperor Frederick Barbarossa ("red beard"), put into action Nazi Germany's ideological goals of eradicating communism and conquering the western Soviet Union to repopulate it w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Israel Gelfand
Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand (, , ; – 5 October 2009) was a prominent Soviet and American mathematician, one of the greatest mathematicians of the 20th century, biologist, teacher and organizer of mathematical education. He made significant contributions to many branches of mathematics, including group theory, representation theory and functional analysis. The recipient of many awards, including the Order of Lenin and the first Wolf Prize, he was a Foreign Fellow of the Royal Society and professor at Moscow State University and, after immigrating to the United States shortly before his 76th birthday, at Rutgers University. Gelfand is also a 1994 MacArthur Fellow. His legacy continues through his students, who include Endre Szemerédi, Alexandre Kirillov, Edward Frenkel, Joseph Bernstein, David Kazhdan, as well as his own son, Sergei Gelfand. Early years A native of Kherson Governorate, Russian Empire (now, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Candidate Of Sciences
A Candidate of Sciences is a Doctor of Philosophy, PhD-equivalent academic research degree in all the post-Soviet countries with the exception of Ukraine, and until the 1990s it was also awarded in Central and Eastern European countries. It is officially classified by UNESCO as International Standard Classification of Education, ISCED level 8, "doctoral or equivalent". In those countries conferring the Candidate of Sciences degrees, a more advanced degree, Doctor of Sciences, is usually conferred as a higher doctorate. The Candidate of Sciences degree may be recognized as a Doctor of Philosophy#USSR, Russian Federation and former Soviet Republics, Doctor of Philosophy, usually in natural sciences, by scientific institutions in other countries. Overview The degree was introduced in the USSR on 13 January 1934 by a decision of the Government of the Soviet Union, Council of People's Commissars of the USSR, all previous degrees, ranks and titles having been abolished imme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
