Yulian Sokhotski
Julian Karol Sochocki (russian: Юлиан Васильевич Сохоцкий; pl, Julian Karol Sochocki; February 2, 1842 in Warsaw, Congress Poland, Russian Empire – December 14, 1927 in Leningrad, Soviet Union) was a Russian-Polish mathematician. His name is sometimes transliterated from Russian in several different ways (e.g. Sokhotski or Sochotski). Life and work Sochocki was born in Warsaw under the Russian domination to a Polish family, where he attended state gymnasium. In 1860 he registered at the physico-mathematical department of St Petersburg University. His study there was interrupted for the period 1860–1865 because of his involvement with Polish nationalist movement: he had to return to Warsaw to escape prosecution. In 1866 he graduated from the Department of Physics and Mathematics at the University of Saint Petersburg. In 1868 he received his master's degree and in 1873 his doctorate. His master's dissertation, practically the first text in Russian mathema ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Warsaw
Warsaw ( pl, Warszawa, ), officially the Capital City of Warsaw,, abbreviation: ''m.st. Warszawa'' is the capital and largest city of Poland. The metropolis stands on the River Vistula in east-central Poland, and its population is officially estimated at 1.86 million residents within a greater metropolitan area of 3.1 million residents, which makes Warsaw the 7th most-populous city in the European Union. The city area measures and comprises 18 districts, while the metropolitan area covers . Warsaw is an Alpha global city, a major cultural, political and economic hub, and the country's seat of government. Warsaw traces its origins to a small fishing town in Masovia. The city rose to prominence in the late 16th century, when Sigismund III decided to move the Polish capital and his royal court from Kraków. Warsaw served as the de facto capital of the Polish–Lithuanian Commonwealth until 1795, and subsequently as the seat of Napoleon's Duchy of Warsaw. Th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Polish Academy Of Learning
The Polish Academy of Arts and Sciences or Polish Academy of Learning ( pl, Polska Akademia Umiejętności), headquartered in Kraków and founded in 1872, is one of two institutions in contemporary Poland having the nature of an academy of sciences. (The other is the Polish Academy of Sciences, headquartered in Warsaw.) The Polish Academy of Arts and Sciences is co-owner of the Polish Library in Paris. History The Academy traces its origins to Academy of Learning founded in 1871, itself a result of the transformation of the , in existence since 1815. Though formally limited to the Austrian Partition, the Academy served from the beginning as a learned and cultural society for the entire Polish nation. Its activities extended beyond the boundaries of the Austrian Partition, gathering scholars from all of Poland, and many other countries as well. Some indication of how the Academy's influence extended beyond the boundaries of the Partitions came in 1893, when the collection of the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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19th-century Mathematicians From The Russian Empire
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Polish Mathematicians
Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles, people from Poland or of Polish descent * Polish chicken *Polish brothers (Mark Polish and Michael Polish, born 1970), American twin screenwriters Polish may refer to: * Polishing, the process of creating a smooth and shiny surface by rubbing or chemical action ** French polishing, polishing wood to a high gloss finish * Nail polish * Shoe polish * Polish (screenwriting), improving a script in smaller ways than in a rewrite See also * * * Polonaise (other) A polonaise ()) is a stately dance of Polish origin or a piece of music for this dance. Polonaise may also refer to: * Polonaises (Chopin), compositions by Frédéric Chopin ** Polonaise in A-flat major, Op. 53 (french: Polonaise héroïque, lin ... {{Disambiguation, surname Language and nationality disambiguation pages ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Scientists From Warsaw
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The roles ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Russian People Of Polish Descent
Russian(s) refers to anything related to Russia, including: *Russians (, ''russkiye''), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries *Rossiyane (), Russian language term for all citizens and people of Russia, regardless of ethnicity *Russophone, Russian-speaking person (, ''russkogovoryashchy'', ''russkoyazychny'') *Russian language, the most widely spoken of the Slavic languages *Russian alphabet *Russian cuisine *Russian culture *Russian studies Russian may also refer to: *Russian dressing *''The Russians'', a book by Hedrick Smith *Russian (comics), fictional Marvel Comics supervillain from ''The Punisher'' series *Russian (solitaire), a card game *Russians (song), "Russians" (song), from the album ''The Dream of the Blue Turtles'' by Sting *"Russian", from the album ''Tubular Bells 2003'' by Mike Oldfield *"Russian", from the album ''Robot Face, '' by Caravan Palace *Nik Russian, the perpetrator of a con committed in 2002 *Th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Saint Petersburg State University Alumni
In religious belief, a saint is a person who is recognized as having an exceptional degree of holiness, likeness, or closeness to God. However, the use of the term ''saint'' depends on the context and denomination. In Catholic, Eastern Orthodox, Anglican, Oriental Orthodox, and Lutheran doctrine, all of their faithful deceased in Heaven are considered to be saints, but some are considered worthy of greater honor or emulation. Official ecclesiastical recognition, and consequently a public cult of veneration, is conferred on some denominational saints through the process of canonization in the Catholic Church or glorification in the Eastern Orthodox Church after their approval. While the English word ''saint'' originated in Christianity, historians of religion tend to use the appellation "in a more general way to refer to the state of special holiness that many religions attribute to certain people", referring to the Jewish tzadik, the Islamic walī, the Hindu rishi or Sikh g ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Number Theorists
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Sokhotski–Plemelj Theorem
The Sokhotski–Plemelj theorem (Polish spelling is ''Sochocki'') is a theorem in complex analysis, which helps in evaluating certain integrals. The real-line version of it ( see below) is often used in physics, although rarely referred to by name. The theorem is named after Julian Sochocki, who proved it in 1868, and Josip Plemelj, who rediscovered it as a main ingredient of his solution of the Riemann–Hilbert problem in 1908. Statement of the theorem Let ''C'' be a smooth closed simple curve in the plane, and \varphi an analytic function on ''C''. Note that the Cauchy-type integral : \phi(z) = \frac \int_C\frac, cannot be evaluated for any ''z'' on the curve ''C''. However, on the interior and exterior of the curve, the integral produces analytic functions, which will be denoted \phi_i inside ''C'' and \phi_e outside. The Sokhotski–Plemelj formulas relate the limiting boundary values of these two analytic functions at a point ''z'' on ''C'' and the Cauchy principa ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Casorati–Sokhotski–Weierstrass Theorem
In complex analysis, a branch of mathematics, the Casorati–Weierstrass theorem describes the behaviour of holomorphic functions near their essential singularities. It is named for Karl Theodor Wilhelm Weierstrass and Felice Casorati. In Russian literature it is called Sokhotski's theorem. Formal statement of the theorem Start with some open subset U in the complex plane containing the number z_0, and a function f that is holomorphic on U \setminus \, but has an essential singularity at z_0 . The ''Casorati–Weierstrass theorem'' then states that This can also be stated as follows: Or in still more descriptive terms: The theorem is considerably strengthened by Picard's great theorem, which states, in the notation above, that f assumes ''every'' complex value, with one possible exception, infinitely often on V. In the case that f is an entire function and a = \infty, the theorem says that the values f(z) approach every complex number and \infty, as z tends to infini ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Leningrad
Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), is the second-largest city in Russia. It is situated on the Neva River, at the head of the Gulf of Finland on the Baltic Sea, with a population of roughly 5.4 million residents. Saint Petersburg is the fourth-most populous city in Europe after Istanbul, Moscow and London, the most populous city on the Baltic Sea, and the world's northernmost city of more than 1 million residents. As Russia's Imperial capital, and a historically strategic port, it is governed as a federal city. The city was founded by Tsar Peter the Great on 27 May 1703 on the site of a captured Swedish fortress, and was named after apostle Saint Peter. In Russia, Saint Petersburg is historically and culturally associated with ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |