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For the Cauchy problem posed in the whole Euclidean space Rd we prove sharp local positivity estimates (weak Harnack inequalities) and elliptic Harnack inequalities; we use them to derive sharp global positivity estimates and a global Harnack principle.
For the Cauchy problem posed in the whole Euclidean space, we prove sharp local positivity estimates (weak Harnack inequalities) and elliptic Harnack inequalities; also a slight improvement of the intrinsic Harnack inequality is given.
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If we assume (to conservatively account for variance in parameter estimates) weaker sexually antagonistic selection on the allele, DDT-R is still kept at an allelic frequency of about 0.01 in the absence of DDT, until DDT drives it to near fixation (Additional file 1: Figure S1).
We calculate pose estimation errors between estimated weak poses Ψ ̂ and the ground truth weak poses ψ ′ as: ε = 1 N ∑ p = 1 P ∑ f = 1 F p ∥ ψ ̂ − ψ ′ ∥ 2, (18).
Estimating weak rock mass modulus has historically proven difficult although this mechanical property is an important input to many types of geotechnical analyses.
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Weighting the data in this way appears to increase sensitivity of the enrichment estimate and has enabled us to apply our method to estimate weaker enrichment profiles, for example, those associated with siRNA off-target transcript inhibition.
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Gary Greenwood at Shore Capital said: This morning UBS second quarter 2011 profit missed consensus estimates on weak investment banking performance, particularly in fixed income, commodities and currency trading, where revenues fell 36%.
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