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Pafnuty Chebyshev information


Pafnuty Chebyshev
Pafnuty Lvovich Chebyshev
Born(1821-05-16)16 May 1821[1]
Akatovo, Kaluga Governorate, Russian Empire[1]
Died8 December 1894(1894-12-08) (aged 73)[1]
St. Petersburg, Russian Empire[1]
NationalityRussian
Other namesChebysheff, Chebyshov, Tschebyscheff, Tschebycheff, Tchebycheff
Alma materMoscow University
Known forWork on probability, statistics, mechanics, analytical geometry and number theory
AwardsDemidov Prize (1849)
Scientific career
FieldsMathematician
InstitutionsSt. Petersburg University
Academic advisorsNikolai Brashman
Notable studentsDmitry Grave
Aleksandr Korkin
Aleksandr Lyapunov
Andrey Markov
Vladimir Andreevich Markov
Konstantin Posse
Yegor Ivanovich Zolotarev
Signature

Pafnuty Lvovich Chebyshev (Russian: Пафну́тий Льво́вич Чебышёв, IPA: [pɐfˈnutʲɪj ˈlʲvovʲɪtɕ tɕɪbɨˈʂof]) (16 May [O.S. 4 May] 1821 – 8 December [O.S. 26 November] 1894)[2] was a Russian mathematician and considered to be the founding father of Russian mathematics.

Chebyshev is known for his fundamental contributions to the fields of probability, statistics, mechanics, and number theory. A number of important mathematical concepts are named after him, including the Chebyshev inequality (which can be used to prove the weak law of large numbers), the Bertrand–Chebyshev theorem, Chebyshev polynomials, Chebyshev linkage, and Chebyshev bias.

  1. ^ a b c d Pafnuty Chebyshev. Encyclopaedia Britannica
  2. ^ Pafnuty Lvovich Chebyshev – Britannica Online Encyclopedia

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Pafnuty Chebyshev

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Pafnuty Lvovich Chebyshev (Russian: Пафну́тий Льво́вич Чебышёв, IPA: [pɐfˈnutʲɪj ˈlʲvovʲɪtɕ tɕɪbɨˈʂof]) (16 May [O.S. 4 May] 1821 – 8 December [O.S. 26...

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Chebyshev distance

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their differences along any coordinate dimension. It is named after Pafnuty Chebyshev. It is also known as chessboard distance, since in the game of chess...

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Chebyshev filter

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filter is named after Pafnuty Chebyshev because its mathematical characteristics are derived from Chebyshev polynomials. Type I Chebyshev filters are usually...

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Chebyshev polynomials

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polynomials were named after Pafnuty Chebyshev. The letter T is used because of the alternative transliterations of the name Chebyshev as Tchebycheff, Tchebyshev...

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Chebyshev linkage

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linear motion. It was invented by the 19th-century mathematician Pafnuty Chebyshev, who studied theoretical problems in kinematic mechanisms. One of...

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Chebyshev function

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} All three functions are named in honour of Pafnuty Chebyshev. The second Chebyshev function can be seen to be related to the first by writing...

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List of things named after Pafnuty Chebyshev

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Chebyshev center Chebyshev constants Chebyshev cube root Chebyshev distance Chebyshev equation Chebyshev's equioscillation theorem Chebyshev filter, a...

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Chebyshev integral

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In mathematics, the Chebyshev integral, named after Pafnuty Chebyshev, is ∫ x p ( 1 − x ) q d x = B ( x ; 1 + p , 1 + q ) , {\displaystyle \int x^{p}(1-x)^{q}\...

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Discrete Chebyshev polynomials

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discrete Chebyshev polynomials, or Gram polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced by Pafnuty Chebyshev...

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Random variable

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instead being called random elements. According to George Mackey, Pafnuty Chebyshev was the first person "to think systematically in terms of random variables"...

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Hermite polynomials

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in scarcely recognizable form, and studied in detail by Pafnuty Chebyshev in 1859. Chebyshev's work was overlooked, and they were named later after Charles...

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Cognate linkage

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four-bar linkage coupler cognates, the Roberts–Chebyshev Theorem, after Samuel Roberts and Pafnuty Chebyshev, states that each coupler curve can be generated...

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Chebyshev iteration

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linear equations. The method is named after Russian mathematician Pafnuty Chebyshev. Chebyshev iteration avoids the computation of inner products as is necessary...

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Von Mangoldt function

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_{p^{k}\leq x}\log p=\sum _{n\leq x}\Lambda (n)\ .} It was introduced by Pafnuty Chebyshev who used it to show that the true order of the prime counting function...

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Chebyshev equation

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complex) constant. The equation is named after Russian mathematician Pafnuty Chebyshev. The solutions can be obtained by power series: y = ∑ n = 0 ∞ a n...

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2010 Chebyshev

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Nauchnyj, on the Crimean peninsula. It was named for mathematician Pafnuty Chebyshev. Chebyshev orbits the Sun in the outer main-belt at a distance of 2.5–3...

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Discrete Chebyshev transform

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of Chebyshev nodes and coefficients of a function in Chebyshev polynomial basis. Like the Chebyshev polynomials, it is named after Pafnuty Chebyshev. The...

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Saint Petersburg State University

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the 19th century, affiliated with the university were mathematician Pafnuty Chebyshev, physicist Heinrich Lenz, chemists Dmitri Mendeleev and Aleksandr...

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Andrey Markov

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Konstantin Posse (analytic geometry), Yegor Zolotarev (integral calculus), Pafnuty Chebyshev (number theory and probability theory), Aleksandr Korkin (ordinary...

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Paphnutius

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entered Russian as Пафнутий (for example, the famous mathematician Pafnuty Chebyshev). Paphnutius of Tentyra (3rd century AD), follower of a saint Paphnutius...

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Nikolai Brashman

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origin. He was a student of Joseph Johann Littrow, and the advisor of Pafnuty Chebyshev and August Davidov. He was born in Neu-Raußnitz (today Rousínov in...

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