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Exact(7)
Then, substituting (14) in (7), the ergodic capacity is numerically obtained after maximizing over the expectation with respect to the PDF in (2) of the conditional mutual information.
Knowing that is also upper bounded by the binary entropy, the ergodic capacity in bits per channel use is obtained by maximizing over the parameter as (12).
Next, assuming that the channel is constrained to dimensions and even without maximizing over the input distribution, the channel capacity can be obtained by averaging over the PDF in (2) as follows: (10).
The maximization of the expression to the right of the equality in (C.17) over is equivalent to maximizing over the more general distribution, and henceforth, without loss of generality we consider the general probability distribution.
The resulting SNPs were analyzed using ChromoPainter Lawsonn et al. 2012), assuming a uniform recombination map and running 10 iterations, maximizing over the recombination scaling constant.
Maximizing over the sum of all the products (max-sum): m u = ∑ n max ϕ p u ϕ, n and ϕ u = arg ∑ n max ϕ p u ϕ, n and ϕ∗=arg maxu m u.
Similar(53)
Finally, in Figures 10 and 11, we compare the achievable rates and the upper bound when each are maximized over the time sharing factor.
The temperature perturbations at upper mesospheric altitudes associated with the diurnal tides are observed to maximize over the tropics and to vary somewhat regularly with season (Hagan et al., 1999).
Regression analysis of milk fat data suggested that MFD was not maximized over the dose levels investigated, despite delivery of 34.5 g of trans-10, cis-12 CLA in the 100-g dose of CLA.
This average system data rate shall be maximized over the vectors ϑ and γ th ( u ) subject to a minimum required user date rate R ̄ min ( u ) and a target BER BERT: R ̄ sys, opt = max ϑ, γ th ( u ) ∑ u = 1 U D u N ru R ̄ ( u ) ( ϑ, γ th ( u ) ) subject to R ̄ ( u ) ( ϑ, γ th ( u ) ) ≥ R ̄ min ( u ) BER ¯ ( u ) ( ϑ, γ th ( u ) ) ≤ BER T. (15).
The similarity between M and the observed spectrum, S, is maximized over the values of θ.
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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