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The model comprises a set of ordinary differential equations that predict a particle trajectory for given rate constants.
Then, by using this feedback scheme, we present a scheduling strategy which solves a weighted sum rate maximization problem for given rate requirements.
We first derive a closed form expression of the optimal time allocation for given rate ratios and given signal-to-noise ratios (SNRs) of all channels.
For given rate requirements and channel coefficients, we can verify if there exists a feasible unique power vector (i.e.,,, where the inequality is componentwise) that fulfills the rate requirements using the following proposition.
In this section we consider the optimization of the time allocation parameters θ - = [ θ 1 θ 2... θ N ] T such that the sum-rate R is maximized for given rate ratios σ - = [ σ 1 σ 2... σ N ] T. Formally, the optimization is stated as θ - * = arg max θ - R (5).
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Figure 7 Comparison of frame-level distortion of the baseline Foschini-Miljanic algorithm with that of the CADF algorithm with heuristics for given rates.
Maximizing response per year for a given rate of inbreeding per year was used as the objective for comparing alternative strategies for GS.
In the long run, theory suggests that higher growth, other things equal, should mean higher interest rates for a given rate of inflation.
For any given rate of injection into the ring current, the current grows until the rate of decay balances the rate of injection.
The reason to run smaller tubing is to increase the velocity for a given rate and sweep the liquids out of the well and the tubing.
The inherently low thermodynamic efficiency of such systems requires that a relatively large amount of heat pass through the system for a given rate of electricity production.
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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