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We further provide rational asymptotic expansions of this sharp uncertainty bound.
For a chosen frequency variance, we formulate the search for "maximally compact sequences" as an exactly and efficiently solved convex optimization problem, thus providing a sharp uncertainty principle for sequences.
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Chief financial officers (CFOs) polled by the consultancy Deloitte reported a sharp rise in uncertainty facing their businesses and have scaled back their expectations for investment and hiring over the coming year.
In a separate survey overnight, the chief financial officers (CFOs) of some of Britain's biggest companies reported a sharp rise in uncertainty facing their businesses and said that they had scaled back their expectations for investment and hiring over the coming year.
We believe that sharp limits on uncertainty distributions should be set only where there is good reason to believe that values outside the limits are impossible (Hattis and Burmaster 1994).
As profits evaporate, nowhere is the pain of contraction and uncertainty sharper than in the newspaper industry.
The possibility that Mr Schröder might win the election and return the pension system to an unsustainable path induced a sharp increase in the uncertainty perceived by households.
The UK economy will have to weather a short, sharp shock, with Brexit uncertainty holding back both business investment and consumer spending, according to a leading economic forecasting group.
Cisco's first quarter covers the period to 25 October, meaning that the company is the first major technology firm to report results for October, a month characterised by a sharp increase in macroeconomic uncertainty.
The new version, with no apologies for murdering the English language, said: "There exist conditions which might raise uncertainties about Sharp being an assumed going concern.
However, we judge that no uncertainties about Sharp's ability to continue as a going concern will exist".The same day, Standard & Poor's, a ratings agency, cut Sharp's creditworthiness further into junk territory.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com