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Exact(14)
The solver will go on till a complete convergence is achieved in the solution.
The theorem that follows is a complete convergence theorem for 'self-normalized' sums.
Recently, Zhu [12] obtained a complete convergence for -mixing random variables.
The proposed algorithm is applied to a multilayer perceptron with adjustable weights and a complete convergence proof is provided.
Hence it is of interest to find a complete convergence result similar to Theorem 1.3 without condition (1.5).
The goal of this paper is to study a complete convergence for arrays of rowwise ψ-mixing random variables.
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Whereas America's solicitous concern for Israel and its disregard for the Palestinians were once cloaked behind evenhandedness, under Trump we are set to see a more complete convergence between America's political leadership and the most chauvinistic, religious, and right-wing government in Israel's history.
There is a nearly complete convergence to narrow-wing solutions for the winged vehicle.
E | X 1 | p < ∞ ; ∑ n = 1 ∞ n p α − 2 P ( max 1 ≤ j ≤ n | ∑ i = 1 j a n i X i | > ε n α ) < ∞ for all ε > 0. Sung [20] pointed out that the array { a n i, 1 ≤ i ≤ n, n ≥ 1 } satisfying both (1.1) and (1.2) does not exist and obtained a new complete convergence result for weighted sums of identically distributed ρ ˜ -mixing random variables as follows.
The report found an almost complete convergence between the happiness of the host nation and the happiness of the migrants.
Katz [4], Baum and Katz [5], and Chow [6] obtained a generalization of complete convergence for a sequence of independent identically distributed random variables with normalization of Marcinkiewicz-Zygmund type (see Gut [7]).
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