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The sample size was not defined on the basis of a pre-defined hypothesis testing.
These groups were defined on the basis of risk-adjusted market-timing performance over the previous 15 years — seemingly long enough to separate out those with superior ability.
It was defined on the basis of our experiences.
Preeclampsia is a multisystem disease classically defined on the basis of hypertension and proteinuria.
Patterns of pulmonary spread were defined on the basis of CT and MR imaging examinations.
Historically, they have been defined on the basis of their step-by-step discovery.
These thresholds are defined on the basis of minimum mean square error.
Saliency in images has been defined on the basis of edges [26] and corners [27].
where the threshold θ has been defined on the basis of experimental trials.
Figure 5 Channel utilization ranges defined on the basis of thresholds, and.
Undesirable contacts were defined on the basis of precision level 2 (see Figure 5).
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differentiated on the basis
identification on the basis
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diagnosed on the basis
refined on the basis
characterized on the basis
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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