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By equation (2), we obtain the equilibrium formula (Sueoka 1988 , 1993 Now we retain Assumption 1 and replace Assumption 2 by: Assumption 3. The mutation rates u and v vary in time.
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Modern demapping algorithms for APSK modulation incorporate the mean of the noise distribution as a shift in the received symbol centroids, e.g., obtained by pilot symbols [13, 14]; however, these works retain the assumption of equal noise variance across the constellation.
For the purpose of direct comparison with the previous work we retained the assumption of constant molar holdup (CMH) in one of the models, and replace this by a more realistic assumption of constant volume holdup (CVH) in the other model.
A new working paper (2) shows how it is possible to explain momentum, bubbles and crashes, including subsequent reversion to fair value whilst retaining the assumption of rationality.
The second route to integration of obligation into the economic model retains the assumption of full rationality.
He retains the assumption of non-correlation between errors, but modifies the behavior of the trend, whose slope is now assumed to follow a random walk.
In this section, we study how the volume of the regions of attractions of different equilibria is sensitive to players adopting different play rates, while retaining our assumption of fictitious/quasi-stationary play.
Since our previous study addressing the combination of delayed vaccination and additional interim measures showed that transmitters first vaccination was effective, we have retained this assumption in the current study [ 15].
Retaining the assumption that the motif discovery algorithm discovers the true motif as well as possible at every candidate width, it follows that the model at the true width w∗ will also be removed as a result of it being contained within the model at width w∗ + 1.
Other explanations retain the rationality assumption, for at least some investors, and focus on structural barriers that prevent the exploitation of profitable arbitrage opportunities, such as limits on short sales and solvency constraints.
Given the lack of constraints on the frictional-stability and BDT, we retain the simplest assumption that D90 represents the BDT depth.
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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