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& end{aligned} (58) In order to make the notation simple we use (tau_{p}=omega) in last equation.
To make the notation simple, we assume that the i th primary link denotes the i th channel.
To keep the notation simple, let P i denote the set of valid PPPs for the ith atom.
In order to keep the notation simple the coefficients of the Nyquist -filter impulse response have been denoted.
In order to keep the notation simple, we therefore set and to zero, that is, for all.
In order to keep the notation simple, in what follows we will also omit the time dependence of the signals.
Similar(47)
To make the notation simpler, we regard β implicit and denote X β and simply by X and h'(0).
We compute the parent offspring covariance in disease, WD, by summing over all possible ways that parent and offspring can both be diseased and then subtracting off the square of the disease prevalence K. Before we write out the full equation for covariance, we define a few quantities to make notation simpler.
In order to keep notations simple, we are thus allowed to ignore the dependence on initially, with the assumption to restate it at the end of the calculation.
To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler tone, a coherent story, digressions on mathe maticians, physicists and their notations, simple examples worked out in detail, and reinforcement of the basics.
To keep the notations simple, let F denotes the event of failure of the ℓ1-minimization problem (2), X be the event of m ≥ CNμ2s log4 (N), and Y be the event of β 2 log ( 2 N 2 / ε ) ≥ μ.
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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