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Andrey Markov
Andrey Andreyevich Markov, first name also spelled "Andrei", in older works also spelled Markoff) (14 June 1856 – 20 July 1922) was a Russian mathematician best known for his work on stochastic processes. A primary subject of his research later became known as the Markov chain. Markov and his younger brother Vladimir Andreevich Markov (1871–1897) proved the Markov brothers' inequality. His son, another Andrey Andreyevich Markov (1903–1979), was also a notable mathematician, making contributions to constructive mathematics and recursive function theory. Biography Andrey Markov was born on 14 June 1856 in Russia. He attended the St. Petersburg Grammar School, where some teachers saw him as a rebellious student. In his academics he performed poorly in most subjects other than mathematics. Later in life he attended Saint Petersburg Imperial University (now Saint Petersburg State University). Among his teachers were Yulian Sokhotski (differential calculus, higher algebr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Style
Old Style (O.S.) and New Style (N.S.) indicate dating systems before and after a calendar change, respectively. Usually, this is the change from the Julian calendar to the Gregorian calendar as enacted in various European countries between 1582 and 1923. In England, Wales, Ireland and Britain's American colonies, there were two calendar changes, both in 1752. The first adjusted the start of a new year from Lady Day (25 March) to 1 January (which Scotland had done from 1600), while the second discarded the Julian calendar in favour of the Gregorian calendar, removing 11 days from the September 1752 calendar to do so.Spathaky, MikOld Style and New Style Dates and the change to the Gregorian Calendar "Before 1752, parish registers, in addition to a new year heading after 24th March showing, for example '1733', had another heading at the end of the following December indicating '1733/4'. This showed where the Historical Year 1734 started even though the Civil Year 1733 continued u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacob Tamarkin
Jacob David Tamarkin (russian: Я́ков Дави́дович Тама́ркин, ''Yakov Davidovich Tamarkin''; 11 July 1888 – 18 November 1945) was a Russian-American mathematician best known for his work in mathematical analysis. Biography Tamarkin was born in Chernihiv, Imperial Russia to a wealthy Jewish family. His father, David Tamarkin, was a physician and his mother, Sophie Krassilschikov, was from a family of a landowner. He shares a common ancestor with the Van Leer family, sometimes spelled Von Löhr or Valar. He moved to St. Petersburg as a child and grew up there. In high school, he befriended Alexander Friedmann, a future cosmologist, with whom he wrote his first mathematics paper in 1906, and remained friends and colleagues until Friedmann's sudden death in 1925. Vladimir Smirnov was his other friend from the same gymnasium. Many years later, they coauthored a popular textbook titled "A course in higher mathematics". Tamarkin studied in St. Petersburg Univ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Master's Degree
A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice. A master's degree normally requires previous study at the bachelor's degree, bachelor's level, either as a separate degree or as part of an integrated course. Within the area studied, master's graduates are expected to possess advanced knowledge of a specialized body of theoretical and applied topics; high order skills in |
Osip Somov
Osip Ivanovich Somov (russian: Ио́сиф (О́сип) Ива́нович Со́мов; 13 June 1815, Moscow Governorate – 8 May 1876, Saint Petersburg) was a Russian mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History O .... References * * * External links * * 1815 births 1876 deaths Russian mathematicians 19th-century mathematicians from the Russian Empire Full members of the Saint Petersburg Academy of Sciences {{russia-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aleksandr Korkin
Aleksandr Nikolayevich Korkin (russian: Александр Николаевич Коркин; – ) was a Russian mathematician. He made contribution to the development of partial differential equations, and was second only to Chebyshev among the founders of the Saint Petersburg Mathematical School. Among others, his students included Yegor Ivanovich Zolotarev Yegor (Egor) Ivanovich Zolotarev (russian: Его́р Ива́нович Золотарёв) (31 March 1847, Saint Petersburg – 19 July 1878, Saint Petersburg) was a Russian mathematician. Biography Yegor was born as a son of Agafya Izoto .... Some publications * * * References External links * *Korkin's Biography the St. Petersburg University Pages (in Russian, but with an image) 1837 births 1908 deaths People from Vologda Oblast People from Vologda Governorate 19th-century mathematicians from the Russian Empire Mathematical analysts {{Russia-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Konstantin Posse
__notoc__ Konstantin Alexandrovich Posse (russian: Константин Александрович Поссе; September 29, 1847 - August 24, 1928) was a Russian mathematician known for contributions to analysis and in particular approximation theory. Veniamin Kagan Veniamin Fyodorovich Kagan (russian: Вениами́н Фёдорович Ка́ган; 10 March 1869 – 8 May 1953) was a Russian and Soviet mathematician and expert in geometry. He is the maternal grandfather of mathematicians Yakov Sinai and ... and D. D. Morduhai-Boltovskoi were among his students. Selected publications * * Notes Further reading * External links * 1847 births 1928 deaths Mathematical analysts Approximation theorists Russian mathematicians 19th-century mathematicians from the Russian Empire 20th-century Russian mathematicians Odesa University academic personnel Saint Petersburg State University alumni {{Russia-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 mathem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saint Petersburg State University
Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the Great, the university from the beginning has had a focus on fundamental research in science, engineering and humanities. During the Soviet period, it was known as Leningrad State University (russian: Ленинградский государственный университет). It was renamed after Andrei Zhdanov in 1948 and was officially called "Leningrad State University, named after A. A. Zhdanov and decorated with the Order of Lenin and the Order of the Red Banner of Labour." Zhdanov's was removed in 1989 and Leningrad in the name was officially replaced with Saint Petersburg in 1992. It is made up of 24 specialized faculties (departments) and institutes, the Academic Gymnasium, the Medical College, the College of Physical Cult ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Recursion
Recursion (adjective: ''recursive'') occurs when a thing is defined in terms of itself or of its type. Recursion is used in a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics and computer science, where a function being defined is applied within its own definition. While this apparently defines an infinite number of instances (function values), it is often done in such a way that no infinite loop or infinite chain of references ("crock recursion") can occur. Formal definitions In mathematics and computer science, a class of objects or methods exhibits recursive behavior when it can be defined by two properties: * A simple ''base case'' (or cases) — a terminating scenario that does not use recursion to produce an answer * A ''recursive step'' — a set of rules that reduces all successive cases toward the base case. For example, the following is a recursive definition of a person's ''ancestor''. One's anc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Constructive Mathematics
In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists. Contrastingly, in classical mathematics, one can prove the existence of a mathematical object without "finding" that object explicitly, by assuming its non-existence and then deriving a contradiction from that assumption. Such a proof by contradiction might be called non-constructive, and a constructivist might reject it. The constructive viewpoint involves a verificational interpretation of the existential quantifier, which is at odds with its classical interpretation. There are many forms of constructivism. These include the program of intuitionism founded by Brouwer, the finitism of Hilbert and Bernays, the constructive recursive mathematics of Shanin and Markov, and Bishop's program of constructive analysis. Constructivism also includes the study of constructive set theories such as CZF ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andrey Markov (Soviet Mathematician)
Andrey Andreyevich Markov (russian: Андре́й Андре́евич Ма́рков; St. Petersburg, September 22, 1903 – Moscow, October 11, 1979) was a Soviet mathematician, the son of the Russian mathematician Andrey Markov Sr, and one of the key founders of the Russian school of constructive mathematics and logic. He made outstanding contributions to various areas of mathematics, including differential equations, topology, mathematical logic and the foundations of mathematics. His name is in particular associated with Markov's principle and Markov's rule in mathematical logic, Markov's theorem in knot theory and Markov algorithm in theoretical computer science. An important result that he proved in 1947 was that the word problem for semigroups was unsolvable; Emil Post obtained the same result independently at about the same time. In 1953 he became a member of the Communist Party. In 1960, Markov obtained fundamental results showing that the classification of four ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Markov Brothers' Inequality
In mathematics, the Markov brothers' inequality is an inequality proved in the 1890s by brothers Andrey Markov and Vladimir Markov, two Russian mathematicians. This inequality bounds the maximum of the derivatives of a polynomial on an interval in terms of the maximum of the polynomial. For ''k'' = 1 it was proved by Andrey Markov, and for ''k'' = 2,3,... by his brother Vladimir Markov. Appeared in German with a foreword by Sergei Bernstein as The statement Let ''P'' be a polynomial of degree ≤ ''n''. Then for all nonnegative integers k : \max_ , P^(x), \leq \frac \max_ , P(x), . Equality is attained for Chebyshev polynomials of the first kind. Related inequalities * Bernstein's inequality (mathematical analysis) * Remez inequality Applications Markov's inequality is used to obtain lower bounds in computational complexity theory In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
