Exact(2)
Under this setup, the average resource allocation rate and the average throughput of user k are r_{i,k} = w_{i,k} (11).
As only non-ABS is available and it occupies (1−α) of all PRBs, the average resource allocation rate and the average throughput of user k are evaluated using Lemma 1 as r_{i,k} = frac{ 1-alpha)}{|{mathcal{U}}_{i}|} (15).
Similar(58)
Consequently, the average resource allocation rate of user k is equivalent to (17), and the average throughput for ({mathcal {V}}_{i}) and ({mathcal {W}}_{i}) are S_{i,k}({mathcal{V}}_{i},{mathcal{W}}_{i}) = sum_{bin{mathcal{A}}_{alpha}} H_{i,k,b} (28).
The dynamic optimization procedure in optimal control theory provides the optimal time courses for "state variables", or the size of the subsystems among which finite resources are allocated, by finding the optimal time path for a "control variable", or resource allocation rate [48].
Under this scheduler, assume that every user's average resource allocation rate in macro-cell i is the same.
Under this scheduler, assume that every user's average resource allocation rate in small cell i is the same as r_{i,k} = frac{1}{|{mathcal{U}}_{i}|}.
In this case, assuming that each user in a given user set (({mathcal {V}}_{i}) or ({mathcal {W}}_{i})) has the same average resource allocation rate, the corresponding average resource allocation rate is given as r_{i,k} =left{ begin{aligned} &frac{ 1-alpha)}{|{mathcal{V}}_{i}|} ~~ text{if}~~ kin{mathcal{V}}_{i} &frac{ 1-alpha{mathcal{W}}_{i}|{mathcal{V}ext{if}~~ k in {mathcal{W}}_{i}|
Also, when the average resource allocation rate is identical for all users in the cell (i.e., w i,k is the same for all users), each user's throughput performance approaches that of a proportional fair scheduling scheme under a Rayleigh fading channel as its moving window size to estimate the average throughput increases.
In addition, from (11), we see that the average resource allocation rates among the users can be easily controlled by adjusting {w i,k } and their corresponding throughput performances.
This review addresses such functional characteristics of wild lianas while focusing on whole-plant resource allocation, growth rate and some organ-specific structural and functional features of leaves, stems and roots.
From the implementation point of view, we thus look for a trade-off between the optimal resource allocation update rate and the signaling overhead.
Write better and faster with AI suggestions while staying true to your unique style.
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