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By comparison, Chebyshev's inequality states that all but a 1/N fraction of the sample will lie within √ N standard deviations of the mean. Since there are N samples, this means that no samples will lie outside √ N standard deviations of the mean, which is worse than Samuelson's inequality.
Specific names for the linear scheduling method have been adopted, such as: [1] Location-based scheduling (the preferred term in the book) Harmonograms; Line-of-balance; Flowline or flow line; Repetitive scheduling method; Vertical production method; Time-location matrix model; Time space scheduling method; Disturbance scheduling
Let P 0,P 1, ...,P m be the first m + 1 orthogonal polynomials [clarification needed] with respect to μ ∈ C, and let ξ 1,...ξ m be the zeros of P m. It is not hard to see that the polynomials P 0 , P 1 , ..., P m -1 and the numbers ξ 1 ,... ξ m are the same for every μ ∈ C , and therefore are determined uniquely by m 0 ,..., m 2 m -1 .
Brezis–Gallouet inequality; Carleman's inequality; Chebyshev–Markov–Stieltjes inequalities; Chebyshev's sum inequality; Clarkson's inequalities; Eilenberg's inequality; Fekete–Szegő inequality; Fenchel's inequality; Friedrichs's inequality; Gagliardo–Nirenberg interpolation inequality; Gårding's inequality; Grothendieck inequality ...
In probability theory, the multidimensional Chebyshev's inequality [1] is a generalization of Chebyshev's inequality, which puts a bound on the probability of the event that a random variable differs from its expected value by more than a specified amount.
Such inequalities are of importance in several fields, including communication complexity (e.g., in proofs of the gap Hamming problem [13]) and graph theory. [14] An interesting anti-concentration inequality for weighted sums of independent Rademacher random variables can be obtained using the Paley–Zygmund and the Khintchine inequalities. [15]
In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if ...
Chebyshev's theorem is any of several theorems proven by Russian mathematician Pafnuty Chebyshev. Bertrand's postulate, that for every n there is a prime between n and 2n. Chebyshev's inequality, on the range of standard deviations around the mean, in statistics; Chebyshev's sum inequality, about sums and products of decreasing sequences