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Exact(1)
This solution, which can be numerically implemented with a straightforward algorithm, is an exact implementation of the Rayleigh integral without any far field or paraxial approximation.
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The world is without any doubt, far better than it has ever been.
But with HIV and mad-cow disease both freshly arrived in the human population, to allow any further xenotransplants without a far clearer idea of the potential risks—and a strong, international system in place for monitoring recipients would be folly indeed.
Osama bin Laden has been killed by US forces inside Pakistan's borders without, so far, any retaliation – which colours some of the film's probing of Pakistan as a querulous, hair-trigger nuclear power.
"This is my third Olympic Games and I've come up without any medal so far.
Speaking to the Reuters news agency Monday, the team leader, Lt. Gen. Mohamed al-Dabi, a former head of military intelligence and external security in Sudan said, "Our Syrian brothers are cooperating very well and without any restrictions so far".
Since then work has proceeded without any formal contract.So far the cargoes have kept moving, with the work going on under the old terms, but a new contract needs to be negotiated.
More stunning yet, though without any recourse so far to the ballot box, the nascent Islamist movement in Somalia (a non-Arab member of the Arab League) appears close to uniting much of that chaotic country.The Islamist surge has frightened not only the region's governments, but also foreign promoters of democracy.
Speaking this post, even without any corrections, took far longer than writing it would have.
Dear Alice, Q: I have been a postdoctoral fellow for a year and a half, without any publications so far and do not see any in the near future.
"Kevin Pietersen is one of the world's best players, without any doubt, as far as Twenty20 is concerned and other forms of the game," Modi said last week.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com