Only the steepness metric (S4) was able to determine sharp images for all seven Zernike modes.
Then, we determine sharp inclusion relations between α-modulation spaces and Lp-Sobolev spaces, and between α-modulation spaces and local Hardy spaces.
Like a determined, sharp-elbowed New Yorker herself, she barrelled towards the city with no heed for conventions.
Onatski (2010) points out the necessity of determining a "sharp" threshold that separates convergent and divergent eigenvalues, denoted as (delta).
This study identifies the critical role for osteoclast autocrine regulation in controlling long-term dynamic of osteoclast formation and death and describes the complementary roles for negative and positive feedback mediators in determining the sharp dynamics of activation and inactivation of osteoclasts.
Under these conditions, fewer EGFR dimers can form; EGFR phosphorylation would decrease and all the threshold effects herein described (phosphorylation, Cbl recruitment, ubiquitination) would cease, determining a sharp decrease of NCE.
"The baby boomers are retiring, and just like everything the baby boomers have done or needed, it has determined very sharp trends and sharp needs," said Cynthia Egan, executive vice president of Fidelity's Retirement Income Services.
If the program determines a sharp curve, it would correct the scanning pattern based on the curvature, and if the curvature is too sharp, it would record that point for a spiral search in the third stage.
We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces.
Generally, we have not been able to determine a sharp estimate for the constant figuring in the stability inequalities.
