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(y'+r=0) and (y"+r_x-rr_y=0) yields the above constraint.
The above constraint follows from the successive cancellation decoding scheme chosen.
The transformer will be in normal operating state if the above constraint is not violated.
In addition to this, the output's variance must be minimized subjected to the above constraint.
To deal with that issue, we replace the above constraint by a variation that allows the vertices to move closer.
The above constraint follows from the achievable secrecy-rate region of a Gaussian MAC-WT as discussed in [13].
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It is straightforward to verify that the above constraints require that $p(Y) = 1/2$.
Thus, a design layout is feasible if it satisfies the above constraints.
Imagine if you had a precise prior that made you certain of $X$ (this is compatible with the above constraints since $X$ was unconstrained).
The following is an informal reconstruction of the Master Argument which has the advantage of being historically credible and in keeping with the above constraints.
Ideally, a high-end signal generator should be used as the signal source to meet the above constraints.
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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