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In the current article, we provide a formal proof of problem complexity and present a new optimization algorithm that overcomes the performance-limiting assumptions in [23, 43].
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[Excerpts, page A16.] The decision overturned a 1998 ruling by the federal appeals court in St . Louis which declared the Missouri limit unconstitutional on the ground that it was too low -- $1,000 in 1976 being the equivalent of less than $400 today -- and that the state had failed to provide proof of problems resulting from large contributions.
In 1964, even as the USSR bested the United States in Olympic competition, a growing number of defections from the Warsaw Pact was proof of problems within the Soviet system.
It helps to have quantifiable proof of the problem," Gips says.
And as for a 13 year old just learning to read, well, that's not proof of a problem.
A French mathematician had formulated a proof of the problem, which is known as Calabi's conjecture, but Yau's, because it was more general, was more powerful.
We landed back in Nairobi by nightfall, proof of another problem: few foreign aid workers who work on Somalia actually spend much time in Somalia.
But Fenn said: 'There are people in the insurance market who close their eyes to the issue because they say there is no scientific proof of a problem.
The thin film has been analytically evaluated using the determination of methadone in urine samples by gas chromatography/mass spectrometry (GC/MS) as proof of concept problem.
But Dr. Hales's proof of the problem, known as the Kepler Conjecture, hinges on a complex series of computer calculations, too many and too tedious for mathematicians reviewing his paper to check by hand.
This was further proof of the problem facing David Cameron's government, its failure to win full-hearted support from rightwing newspapers that have long been the Tories' traditional allies.
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