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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.

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 analog electronics there exists a filter family named "Chebyshev filters".

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