Sentence examples for exposed point from inspiring English sources

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).

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.

x is an exposed point of B X.

The fort was created on this site because of its being an exposed point and a defense to the artery, — Bayou St. John, — which ran towards the city.

Theorem 2.6 For a normed linear space X and a point x ∈ S X, the following are equivalent: 1. x is an exposed point of B X.   2.

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.