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Therefore the quantitative inequality (4.3) gives a sharp information on E while it is useless when applied to F. The reason is that the isoperimetric deficit depends strongly on the oscillation of the boundary of the set, while the Fraenkel asymmetry only looks at the distance in measure of a set from a ball.
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In particular, the letters drew a sharp distinction between information about the security, which the company said it provided in full, and information about Mr. Paulson's role.
Moreover, there has been a sharp rise in information, much of it developed through fertility research, about how low sperm levels need to be for a man to be infertile.
Analysis of one of the three traditional divisions of the economy, the service sector, shows a sharp increase in information-intensive activities since the beginning of the 20th century.
Girardi has a reputation for not sharing much information, a sharp contrast to the voluble and folksy Torre.
But a sharp increase in false information – particularly in relation to people still alive – has forced a rethink.
The FTIR spectrum presents the usual νCO stretching band pattern corresponding to the fac-M CO 3 fac-M CO 3see Supporting Infragmentn): a seerp, SupportingratInformation cm−1 and a very sharpg, broader band at 2062 cm−1.
This would let the algorithm to predict a sharp turn based on previous information.
Under an explicit nondegeneracy condition, we improve this information providing a sharp control of the rate of convergence of the eigenvalues and eigenfunctions in the perturbed domain to the relative eigenvalue and eigenfunction in the limit domain.
The suit said Karcher and family members had exchanged advance information about a sharp earnings drop at the company in October 1984.
"It is far too simple, and behaviourally naive, to draw a sharp line between acceptable 'provision of information' and unacceptable 'mind control'," argue Ms Jolls and Mr Sunstein.This acute sensitivity to losses is not the only bias behaviouralists have discovered.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com