For Dr Perelman, transforming a conjecture into a theorem appears to have been prize enough.
After subsequent speculation of continued consolidation in the hotel and resort industry, with the likes of Marriott International and Starwood all garnering call interest in the afterglow of the Hilton deal, we conclude the week on a note of conjecture that the deal-fest will continue next week, this time with a focus on big retail.
Whether it would be more expert is a matter of conjecture and personal opinion.
How much of this is because of human action is still a matter of conjecture.
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Whether patients will gain as much as they hope is a matter of conjecture.
Since the end of that generally bad year, the timing of Skilling's departure has been a matter of conjecture.
Whether these weather systems will develop into storms, and how much damage they would do, is a matter of conjecture.
This being Brunei, exactly what it is and what the brothers will do about it is a matter of conjecture only.
How much of this is because of human action is still a matter of conjecture, but it is widely accepted to be significant.
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It would be a purely circumstantial conjecture to say that the unprecedented ramp-up of production for the iPhone 5 is responsible for this incident.
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Eisenstein's sexuality has long been a matter of conjecture and Mr Bergan, perhaps too cautiously, comes to no clear conclusions about whether the drawings reflected the way Eisenstein lived and behaved.
Whether Lance Armstrong will be prosecuted criminally is, at this point, a matter of pure conjecture.
It was the Poincare conjecture, a knotty problem involving circles and spheres, which had dogged mathematicians for a century.
You can do so in the knowledge that farming unions have dismissed it as a review based on conjecture, rather than on proven science.
Over the years, hundreds of results have been published that assume the truth of the hypothesis, but a proof of the conjecture would have immense consequences.
The conclusion that these losses are a large negative for the wirehouses is conjecture at best in my opinion.
Spell power is a mechanic that was the subject of much conjecture.
Left to conjecture, Wall Street analysts had a number of theories, none of them particularly heartening for investors who held onto their stock.
For that to happen, a publication needs to prove, not just conjecture, who these premium readers are, and where and how they can be found online.
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McCaw did rather abruptly resign from the Clearwire Board at year end so one can conjecture that maybe he is facing a similar crisis now and that is why he left the Board when he did in the way that he did.
So: conjecture v facts and figures, decisive action v a practical way forward.
Webber has repeatedly been on a one-year rolling contract at Red Bull leading to conjecture that each year will be his final year.
She told him (and the rabbits that sometimes surreptitiously accompanied the riders) that people were becoming more and more unbalanced: studies had proved it, which led the psychiatrist to conjecture that perhaps mental instability was not so much a disease as a stratum of normality, just below the surface of normality as it was commonly conceived.
But the scientists conjecture that use of sunstones may have persisted for many centuries as a back-up to the often unreliable magnetic compass, which was introduced in Europe in the 13th Century.
That means the client is making a knowledge-based decision as opposed to seat-of-the-pants conjecture.
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