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The primary user plays the role of an auctioneer, which involves organizing the auction process and designing an auction mechanism out of all different kinds of auction mechanisms that is able to achieve the maximum expected utility.
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If P T ( 1 ) ≤ A, then the transmission power and the transmission rate achieving the maximum expected energy efficiency are achieved with α* = 1: P T * = P T ( 1 ) a n d R * = R ( 1 ).
Otherwise, the transmission power and the transmission rate achieving the maximum expected energy efficiency are achieved with α* < 1, and P T *, and α* satisfies the following relation: P T * h ̃ 2 1 + α * P T * h ̃ 2 ln 1 + α * P T * h ̃ 2 = f h ̃ + w α * h ̃ 1 - F h ̃ + w α * h ̃. (15).
72 holds for all σ w 2 > 0, and hence the link adaptation controller can simply assign P T = P T ( 1 ) and R = ln 1 + P T ( 1 ) h ̃ 2 without explicitly considering the variance of the CSI error σ w 2 for achieving the maximum expected of the network.
Within EVSI, the costs of the trial are compared with the benefits achieved to find the maximum expected net benefit, which would correspond with the recommended trial size.
The function J k (s k ) is the maximum expected accumulative utility, achieved under optimal decision, when the system is in state s k at the k th stage.
To achieve a balance between optimality and robustness, a minimax method is proposed which minimizes the maximum expected loss from misclassification.
Hence the maximum expected sample size was 134.
The maximum expected heterozygosity for simulations was 0.5.
With the positive sequences only, motif finding algorithms are expected to achieve the maximum sensitivity rate over the input set under the user-specified constraints.
The proposed model is expected to help researchers optimize the process parameters to achieve the maximum nanotube yield.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com