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For the sake of simple notation, we will in our analysis write u, or (mathbf{u}(t)), instead of (mathbf{u}(t; beta)).
For the sake of simple notation, let (T=min{ tilde{T},hat{T} }) and (beta_{min} = max{ tilde{beta}_{min}, hat{beta}_{min } }).
(For the sake of simple notation, we will write (u_{i}) and (q_{i}), instead of (u_{beta,i}) and (q_{beta,i}), for the component functions of (mathbf{u}_{ beta}) and (mathbf{q}_{beta}), respectively).
We first consider the scenario of a single transmission for the sake of a simpler notation, while in Section 5 we propose its extension to the case of multiple transmissions with HARQ.
This fact will sometimes be used in the sequel, for reasons of simpler notation.
For the sake of better notation we are using the same symbols nevertheless.
Please note that, for the sake of clarity, the notation used in the introduction may not be the same during the rest of the paper.
For the sake of notation let us denote (A=M+1).
Thus for the sake of notation clarity, we omit it hereafter when no confusion arises.
For the sake of notation simplicity, we define an arbitrary link - between two nodes and.
We assume that P Tot does not vary by cell, again for the sake of simplifying the notation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com