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Our smoothing estimate allows us to use Sobolev inequalities and treat nonradial perturbations.
This estimate allows us to improve Yano's extrapolation theorem and also to obtain that for every f∈L log L, r→∞ ∫∞1/r λνTf y) dylog r≲‖f‖1.
The above estimate allows to derive, in a sharp way, almost all types of local estimates starting by the properties of the Riesz potentials, whose action in several function spaces is in fact known; for this we refer to [28, 29].
Further, the degree to which a delay between guesses helps improve the average estimate allows for a measure of memory decay, or a "forgetting curve," in that guesses become more independent, or variant, as they are separated further in time.
1 This risk estimate allows rheumatologists to align their therapy to the expected risk of individual patients.
Although limited by wide confidence intervals, when exclusively compared to the development and journal screening set, the estimate allows an inference of the overall number of relevant papers.
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To validate the novel estimator, a data set was simulated that meets the assumptions of the Shannon's information capacity estimate, allowing the results from the novel estimator to be compared with a known, valid estimate of information capacity.
A convenient dollar-per-megawatthour estimate allowed operators to choose the least-expensive options.
The corrected estimate allowing for clinic-level matching and ascertainment variability yielded an OR distribution with median 58.7 and central 95% range 36.9 105.2 (figure 3).
For MM and JAS, the contrast used on each trial was randomly selected from a 4-dB interval centred on this threshold estimate, allowing for a better estimate of psychometric slope.
With regard to this latter, the estimate allowed considering people living in Italy both regularly and irregularly.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com