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Chebyshev's theorem — is a name given to several theorems proven by Russian mathematician Pafnuty Chebyshev Bertrand s postulate Chebyshev s inequality Chebyshev s sum inequality Chebyshev s equioscillation theorem The statement that if the function has a limit at… … Wikipedia
Chebyshev function — The Chebyshev function ψ(x), with x < 50 The function ψ( … Wikipedia
Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… … Wikipedia
Chebyshev's inequality — For the similarly named inequality involving series, see Chebyshev s sum inequality. In probability theory, Chebyshev’s inequality (also spelled as Tchebysheff’s inequality) guarantees that in any data sample or probability distribution, nearly… … Wikipedia
Chebyshev's inequality — ▪ mathematics also called Bienaymé Chebyshev inequality in probability theory, a theorem that characterizes the dispersion of data away from its mean (average). The general theorem is attributed to the 19th century Russian mathematician… … Universalium
Chebyshev, Pafnuty Lvovich — ▪ Russian mathematician born May 4 [May 16, New Style], 1821, Okatovo, Russia died November 26 [December 8], 1894, St. Petersburg founder of the St. Petersburg mathematical school (sometimes called the Chebyshev school), who is remembered… … Universalium
Chebyshev pseudospectral method — The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high accuracy… … Wikipedia
Chebyshev cube root — In mathematics, in the theory of special functions, the Chebyshev cube root is a particular inverse function of the Chebyshev polynomial of third degree. It is analogous to the cube root function is the inverse of the third power. It can be used… … Wikipedia
Chebyshev's bias — In prime number theory, Chebyshev s bias is the phenomenon that most of the time, there are more primes of the form 4k + 3 than of the form 4k + 1, up to the same limit. This phenomenon was first observed by Chebyshev in 1853 … Wikipedia
Chebyshev-Markov-Stieltjes inequalities — In mathematics, The Chebyshev ndash;Markov ndash;Stieltjes inequalities are important inequalities related to the problem of moments. They allow to extract some information about the measure from its first moments; namely, they provide sharp… … Wikipedia
