Sentence examples for implies up from inspiring English sources

But Lemma 3.8 implies (up to a subsequence) that ξ n → ξ ∈ U σ ̄ ( t, τ, ū ), which is a contracdition.

It has been shown in other settings that 6.4% of asthma patients seen for urgent care follow-up within one week.[ 35] We found previously that in 2002, KPNC members made 2.1 million visits for asthma (unpublished data), which implies up to ~133,000 repeat visits of an asthmatic within one week of initial presentation.

Notice that this restriction implies up to 20 firms in the market and no less than 100 composite goods competing, then it fits with a large number of oligopoly industries.

Taken at face value, that would imply up to 200,000 potential sympathisers with anti-western mega-terror and five timega-terror and who mistrust British justice.It will be difiveultimes thatpolice to guard againumberrrorism properly, whole avoiding swelling the numistrustdisaffected Muslims.

These inequalities imply (up to universal constants) the log-Sobolev inequalities proved by Bobkov, Ledoux [S.G.

Long-term loss of such habitat may imply up to a 66% woodland increase for some eagle ranges.

While most of the protein trees examined here were very similar to the reference supertree, requiring zero or one edit operations for reconciliation, some trees implied up to 40 transfer events within a single orthologous set of proteins.

This could imply up-stream screening by less medically qualified staff, based on precise criteria, associated with a greater risk of death.

However, the significance of the implied up-regulation by MrpC is unclear since disruption of MXAN_0228 had little effect on development [ 99].

Because, to tolerate implies putting up with something, and putting up with something implies that it's less than.

Buddhism goes way beyond the confines of the personal – realising the truth of interdependence implies taking up the challenge of engaging with others in the wider world.