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In tennis, you are exposed point after point, round after round.
A point x of B1 X) is called an exposed point if there exists f ϵ X∗ such that ∥f∥ = f(x) = 1 and f y) < 1 for all y ≠ x in B1 X).
The generation of such data requires approaches that can rapidly assay entire genomes with single-base resolution to expose point mutations and at megabase-scale to define structural rearrangements.
However, it is more likely that the measured environmental exposures, at which we observed significant VTG responses in juvenile sea bass under controlled experimental conditions, reflect the levels encountered at highly exposed point sources rather than the average diffuse environmental burden, which is likely to be much lower.
Pirelli and Michelin, which sell many lorry tyres, are most exposed, points out HSBC, a bank.
Following a murder, Arm considers a set of railings beside the sea: "The railings were eaten through, thinned to crusted spindles of rust at their most exposed points.
In case that a set of uniformly strongly exposed points of a Banach space X is a norming subset of P nX), then the set of all strongly norm attaining elements in P nX) is dense.
This leads to a negative answer to a question due to V. M. Adamjan, D. Z. Arov, and M. G. Krein, and (what is the same) produces a counter-example to D. Sarason's conjecture concerning exposed points inH1.
There is a QC-level set which coincides with a support set (under the continum hypothesis), and there are Douglas algebras B1 and B2 satisfying: both the unit balls of L∞B1 and B2H∞ + C have extreme points but not have exposed points.
Harlequins will also have a different team when they return to Wales on Saturday to face the Scarlets in what will be the last Heineken Cup match at Stradey Park, but once they had sorted themselves out yesterday, playing for territory in the second period, holding on to the ball and exposing weak points in the home defence, they turned the game on its head.
Because it exposes a point of view, the soppiest, most lovey-dovey song may be construed as "political" (Kremlin fails to feel the love as Ukrainian 'propaganda' song wins Eurovision prize, 16 May), even, say, Sing Little Birdie, 1959's UK Eurovision Song Contest entry, emoted by Pearl Carr and Teddy Johnson.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com