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We obtain the optimal decay rate for ∥ ∇ u t ∥ 2 2 by deriving its decay estimate from below, provided that either ε is suitably small or the initial data satisfy the proper smallness assumption.

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Electrochemical etching allows to fabricate PS with good surface quality at the temperatures at least below 65 °C provided that HF electrolyte is concentrated.

> -wrap-foot> hepatitisitis B virus According to the Dutch guideline, HBV-infected persons may perform EPPs again if antiviral therapy forces the HBV load below 100,000 copies/ml, provided that three-monthly monitoring of HBV DNA takes place.

The gap was varied in increments of 10%, with four scenarios: 60, 70, 90, and 100%, triggering irrigation when available water dropped below the level that provided that percentage of optimal yield.

But Mr. Bernanke, who exercises disproportionate influence over the committee's decisions, has said he would support new purchases only if the economic outlook deteriorated, and provided that inflation remained below 2 percent.

So then, place your rubbish songs in the container provided (that's comments below mainly) and this week's guru of garbage, master of muck, doctor of dregs, star of slop and raconteur of rubbish, the wondrous sonofwebcore, will sift through it all for a selection of gems published next Thursday 30 July.

And regulated off-peak fares are frozen after 2013 provided that RPI remains below 3.5% per annum.

Meanwhile, regulated off-peak fares are frozen after 2013, provided that RPI remains below 3.5% per annum.

The most vocal proponent of focusing on economic goals, Charles L. Evans, president of the Federal Reserve Bank of Chicago, said last month that the Fed should declare its intent to keep short-term interest rates near zero until the unemployment rate fell below 6.5 percent, provided that the rate of inflation did not exceed 2.5 percent.

Diane Swonk, an economist at Mesirow Financial in Chicago, said the Fed could show greater concern for job creation by tying such a forecast to the unemployment rate, announcing that it would keep short-term rates near zero until unemployment dropped below 7 percent, provided that inflation remained under control.

This is a consequence of herd immunity [22], such that a herd is protected (i.e. the basic reproduction number (R0) is reduced below one) provided that a large enough proportion of animals in the herd is protected.

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