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The water-filling algorithm is used to solve the convex optimization problem by considering a continuous objective function.
Concerning to the engineered construction of these materials, they can be thought as being achieved by considering a continuous variation of their phases and thus of their properties, or by considering a discrete stacking of a sufficient number of layers, in order to ensure a less abrupt variation profile of their properties.
Measurements were generated by considering a continuous reactor set-up in which, after starting the reactor with a full medium, only glucose is added from a feed with a fixed concentration.
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The simulations were performed by Aspen Plus considering a continuous multitubular reactor operating at 280 °C, 128 bar, methanol-to-oil molar ratio of 24, propane-to-methanol molar ratio of 0.05, and a residence time of 9.7 min.
We use this remark to simplify the computations of the second moments and the bounds for the quantiles of the size distribution by considering a simplified and continuous model.
They stated the proofs by considering an approximating completely continuous operator.
For a given imposed horizontal displacement Δh, the corresponding racking load P(Δh) is computed by numerical relaxation, allowing to consider a continuous function to represent the load-slip curves of the connections.
As an example we have taken the dataset obtained by considering all continuous five residues fragments from the proteins in the top500H dataset [ 31] which includes 500 curated non redundant protein structures obtained by X-ray crystallography with resolution better than 1.8 Å and with few deviations from ideal geometry.
Secondly, in addition to the gold standard R&K model of sleep architecture, we consider a continuous sleep representation by ways of the probabilistic sleep model (PSM) of Lewandowski et al. (2012).
Let us consider a continuous population dynamics described by dn i/ d t = bn i − d in i, where b and d i are the birth and death rates, respectively.
However, development of a questionnaire should be considered a continuous process, in which each revision is guided by further validation studies.
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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