Pafnuty Chebyshev
Pafnuty Lvovich Chebyshev (Пафнутий Львович Чебышёв) (May 4 1821 - November 26 1894) was a Russian mathematician. His name is also transliterated as Chebyshov, Tchebycheff or Tschebyscheff (old german transcription).
He was a student of Nikolai Brashman. His own most illustrious student was Andrei Markov.
He is known for his work in the field of probability and statistics. Chebyshev's inequality says that the probability that the outcome of a random variable is more than a standard deviations away from its mean is no more than 1/a2:
Chebyshev's inequality is used to prove the weak law of large numbers and the Bertrand-Chebyshev theorem (1845|1850).
The Chebyshev polynomials are named in his honor.
In electronics and signal processing, the family of electronic filters named "Chebyshev filters" are named after him.
See also
External link
- MacTutor biography (http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Chebyshev.html)
de:Pafnuti Lwowitsch Tschebyschow es:Pafnuty Chebyshev eo:Pafnuti ĈEBIŜEV fr:Pafnouti Tchebychev it:Pafnuti Cebicev nl:Pafnuty Lvovich Chebyshev pl:Pafnutij L. Czebyszew sl:Pafnuti Lvovič Čebišov
Categories: 1821 births | 1894 deaths | Mathematicians | Russian scientists | Statisticians