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For large problems, a "good" solution with a small gap relative to our lower bound is obtained in a short computational time.
The results indicate that for large problems a single GPU is up to 45 times faster than a CPU for this application, and the parallel implementation shows linear speed up on up to 4 GPUs.
As the British politician Oliver Letwin has argued, a generation of misrule between 1945 and 1979 left the U.K. with three large problems: a stifled industrial economy; an overcentralized welfare state; and an enervated people, some of whom are locked in cycles of poverty.
In particular, a case study on two real projects confirms the effectiveness of our approach; as to efficiency, for medium-sized problems an exact solution is found in a few minutes, while for large problems a heuristic solution that is less than 1% far from the exact one is returned in a few seconds.
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So, identifying in that large problem a small piece of the puzzle that you can affect is the first step.
(i) "no problem", (ii) "a small problem", (iii) "neither a small nor a large problem", (iv) "a large problem", (v) "a very large problem".
Dialogue is essential to solve the large problems of a multicultural, global society, he adds.
He must now tackle two large problems from a weakened position.
It is a part of a larger problem – a systemic, ingrained and institutionalized one.
A result of insufficient fund-raising, that debt points to a larger problem: a difficulty connecting with local constituencies.
This fact allows us to convert a large problem to a few simple problems with mathematical certainty.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com