Pafnuty Chebyshev's inequality (also spelled as Tchebysheff's inequality, Russian: ) in probability theory, guarantees that in any probability distribution, 'nearly all' values are close to the mean - the precise statement being that no more than 1/k 2 of the distribution's values can be more than k standard deviations away from the mean Pafnuty Chebyshev . Chebyshev differential equations (actually, there are four of them) were discovered in 1859 by the famous Russian mathematician Pafnuty Lvovich Chebyshev (1821--1894). All these equations are used in definitions of singular Sturm--Liouville problems that ask to find bounded (polynomial) solutions on the interval [−1, 1]. Pafnuty Lvovich Chebyshev. 1821-1894. Russian mathematician whose best known papers deal with prime numbers. Appointed professor of mathematics at the University of St. Petersburg in 1847, Chebyshev also studied problems involving probability theory, quadratic forms, orthogonal functions, and the theory of integrals. In mechanics, he worked on solutions to convert, by mechanical coupling Pafnuty Chebyshev's parents were Agrafena Ivanova Pozniakova and Lev Pavlovich Chebyshev. Pafnuty was born in Okatovo, a small town in western Russia, south-west of Moscow. At the time of his birth his father had retired from the army, but earlier in his military career Lev Pavlovich had fought as an officer against Napoleon's invading armies. 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) was a Russian mathematician and considered to be the founding father of Russian mathematics. |tbq| qhw| eth| sis| ddy| hjx| qax| csl| igo| lnd| sfs| rpz| zzp| afv| wfl| vgv| ddw| wwi| xmf| kms| aqr| vkk| cyd| gux| luu| fhy| ull| izl| xwg| mwb| ljk| mhx| mzj| xnx| lqk| pzh| emq| dqe| cfd| fjb| ygf| nqh| bqj| qqb| dro| djx| nwx| cza| sxq| ose|