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A few least distortion values and the number of corresponding allocations R N to achieve each of these values are listed in Table 2.
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In its corresponding allocation and pricing algorithm, sellers were allowed partially trading their bundles; the transaction path was approximated to Marshallian path; the utility for each winner was non-negative.
Answering a user request, together with its associated QoS, the cloud provider infrastructure proceeds to the corresponding allocation of non-shareable components adding or reducing the number of components in the service session (VPSN) according to the required capacity.
We suspect that it is a reflection of recent shifts in program development where there has been a major focus on antiretroviral treatment of HIV infection and a corresponding allocation of resources to HIV/AIDS programs.
Along these lines, Rodin [ 8] and Ryan et al. [ 7] stress that screening and feedback does not necessarily lead to better patient outcomes unless such measures are accepted by the institutions and are supported by corresponding allocation of resources.
We assume that once a scheduling policy determines the rate allocation, the corresponding power allocation is done as per (4).
The mean allocation to cancer research charities in scenario 2 is statistically significantly smaller than the corresponding mean allocations in scenarios 3 (t-test; P <0.01) and 4 (P <0.05).
Hence, the maximum sum rate that can be achieved by superposition coding and Gaussian signalling, and the corresponding power allocations, can be obtained by solving the relaxed problem.
After that, based on the corresponding subchannel allocations for all the nodes, i.e., ({x^{m}_{textit {kn}}}), the BS specifies the powers to be used by each node by performing the total power adjustments for them.
However, we will provide two alternative formulations that will be used in Section 4 to obtain convex formulations for tight inner and outer bounds on the SPCGS region along with the corresponding power allocations.
Thus, the implemented algorithm has to keep track of the best achieved sum rate and corresponding resource allocations: R best DF [ i ] = max { R best DF [ i − 1 ], R DF [ i ] }. (34).
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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