Redirected from Pafnuty Lvovich Chebyshev
The Chebyshev polynomials are named in his honor.
In analog electronics there exists a filter family named "Chebyshev filters".
He is also known for his work in the field of probability and statistics. Chebyshev's inequality says that the probability that a random variable is more than a standard deviations away from its mean is no more than 1/a2. If μ is the mean (or expected value) and σ is the standard deviation, then we can state the relation as:
for any positive real number a. Chebyshev's inequality is used to prove the weak law of large numbers and the Bertrand-Chebyshev theorem (1845|1850).
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