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Encyclopedia > Sergei Natanovich Bernstein
Sergei Natanovich Bernstein

Sergei Natanovich Bernstein
Born 5 March 1880
Odessa, Imperial Russia
Died 26 October 1968
Moscow, USSR
Residence USSR
Nationality Ukrainian
Field Mathematics
Institutions University of Paris
Alma mater University of Paris
Academic advisor   Charles Émile Picard
David Hilbert
Notable students   Vasilii Goncharov
Known for Bernstein's inequality in analysis
Bernstein inequalities in probability theory
Bernstein polynomial
Bernstein's theorem
Bernstein problem in mathematical genetics

Sergei Natanovich Bernstein (Russian: Сергей Натанович Бернштейн, sometimes Romanized as Bernshtein) (March 5, 1880 - October 26, 1968) was a Ukrainian mathematician who was born in Odessa, Imperial Russia and died in Moscow, USSR. Image File history File links No higher resolution available. ... This article is about the day. ... Year 1880 (MDCCCLXXX) was a leap year starting on Thursday (link will display the full calendar) of the Gregorian calendar (or a leap year starting on Tuesday of the 12-day slower Julian calendar). ... ODESSA (German: Organisation der ehemaligen SS-Angehörigen, Organization of Former SS Members) is the name commonly given to an international Nazi network alleged to have been set up towards the end of World War II by a group of SS officers. ... Imperial Russia is the term used to cover the period of history from the expansion of Russia under Peter the Great, through the expansion of the Russian Empire from the Baltic Sea to the Pacific Ocean, to the deposal of Nicholas II of Russia, the last tsar, at the start... is the 299th day of the year (300th in leap years) in the Gregorian calendar. ... Year 1968 (MCMLXVIII) was a leap year starting on Monday (link will display full calendar) of the 1968 Gregorian calendar. ... Position of Moscow in Europe Coordinates: , Country District Subdivision Russia Central Federal District Federal City Government  - Mayor Yuriy Luzhkov Area  - City 1,081 km²  (417. ... Image File history File links Flag_of_the_Soviet_Union. ... Image File history File links Flag_of_Ukraine. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... The Sorbonne, Paris, in a 17th century engraving The historic University of Paris (French: ) first appeared in the second half of the 12th century, but was in 1970 reorganised as 13 autonomous universities (University of Paris I–XIII). ... The Sorbonne, Paris, in a 17th century engraving The historic University of Paris (French: ) first appeared in the second half of the 12th century, but was in 1970 reorganised as 13 autonomous universities (University of Paris I–XIII). ... Charles Émile Picard (July 24, 1856 - December 11, 1941) was a leading French mathematician. ... David Hilbert (January 23, 1862, Königsberg, East Prussia – February 14, 1943, Göttingen, Germany) was a German mathematician, recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. ... In the mathematical theory of functional analysis, Bernsteins inequality is defined as follows. ... In probability theory, the Bernstein inequalities are a family of inequalities proved by Sergei Bernstein in the 1920-s and 1930-s. ... In the mathematical subfield of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein form, that is a linear combination of Bernstein basis polynomials. ... In functional analysis, a branch of mathematics, Bernsteins theorem states that any real-valued function on the half-line [0, âˆž) that is totally monotone is a mixture of exponential functions. ... This article is about the day. ... Year 1880 (MDCCCLXXX) was a leap year starting on Thursday (link will display the full calendar) of the Gregorian calendar (or a leap year starting on Tuesday of the 12-day slower Julian calendar). ... is the 299th day of the year (300th in leap years) in the Gregorian calendar. ... Year 1968 (MCMLXVIII) was a leap year starting on Monday (link will display full calendar) of the 1968 Gregorian calendar. ... Leonhard Euler, considered one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is the field of mathematics. ... ODESSA (German: Organisation der ehemaligen SS-Angehörigen, Organization of Former SS Members) is the name commonly given to an international Nazi network alleged to have been set up towards the end of World War II by a group of SS officers. ... Imperial Russia is the term used to cover the period of history from the expansion of Russia under Peter the Great, through the expansion of the Russian Empire from the Baltic Sea to the Pacific Ocean, to the deposal of Nicholas II of Russia, the last tsar, at the start... Position of Moscow in Europe Coordinates: , Country District Subdivision Russia Central Federal District Federal City Government  - Mayor Yuriy Luzhkov Area  - City 1,081 km²  (417. ...


His doctoral dissertation, submitted in 1904 to the Sorbonne, solved Hilbert's nineteenth problem on the analytic solution of elliptic differential equations. Later, S.B. published numerous works on Probability theory, Constructive function theory, mathematical foundations of genetics, et cet. From 1906 until 1933, Bernstein was the leading light of the Kharkov Mathematical Society. 1904 (MCMIV) was a leap year starting on a Friday (see link for calendar). ... The Sorbonne, Paris, in a 17th century engraving The historic University of Paris (French: ) first appeared in the second half of the 12th century, but was in 1970 reorganised as 13 autonomous universities (University of Paris I–XIII). ... Hilberts nineteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. ... Probability theory is the branch of mathematics concerned with analysis of random phenomena. ... DNA, the molecular basis for inheritance. ...


See also

In the mathematical theory of functional analysis, Bernsteins inequality is defined as follows. ... In probability theory, the Bernstein inequalities are a family of inequalities proved by Sergei Bernstein in the 1920-s and 1930-s. ... In the mathematical subfield of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein form, that is a linear combination of Bernstein basis polynomials. ... In functional analysis, a branch of mathematics, Bernsteins theorem states that any real-valued function on the half-line [0, âˆž) that is totally monotone is a mixture of exponential functions. ... Dmitrii Sintsov (21 November, 1867–28 January, 1946) was a Russian mathematician known for his work in the theory of conic sections and non-holonomic geometry. ...

External links

The Mathematics Genealogy Project is a web-based database that gives an academic genealogy based on dissertation supervision relations. ...

References

  • S.N.Bernstein, Collected Works (Russian):
    • vol. 1, The Constructive Theory of Functions (1905-1930), translated: Atomic Energy Commission, Springfield, Va, 1958
    • vol. 2, The Constructive Theory of Functions ((1931-1953)
    • vol. 3, Differential equations, calculus of variations and geometry (1903-1947)
    • vol. 4, Theory of Probability. Mathematical statistics (1911-1946)
  • S.N.Bernstein, The Theory of Probabilities (Russian), Moscow, Leningrad, 1946
  • Y.I.Lyubich, Bernstein algebras (Russian), Uspekhi Mat. Nauk, 1977
Persondata
NAME Bernstein, Sergei Natanovich
ALTERNATIVE NAMES
SHORT DESCRIPTION Ukrainian Mathematician
DATE OF BIRTH 5 March 1880
PLACE OF BIRTH Odessa, Imperial Russia
DATE OF DEATH 26 October 1968
PLACE OF DEATH Moscow, USSR


 

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