The Set Cover problem belongs to a group of hard problems which are neither approximable in polynomial time (at least with a constant factor) nor fixed parameter tractable, under widely believed complexity assumptions.
Since base composition, context and sequence are by definition constant within each different human gene, we believed these assumptions were safe.
Based on the exposure and toxicity assumptions above, we believe our assumptions were sufficiently conservative and most likely overestimated risk.
We critically discuss the reasons we believe these assumptions are flawed, and show how the existing research conducted on the basis of these assumptions is likely to fail to answer the most pressing problems in EBP.
Also, by the way, I don't believe the assumptions.
Mr. Wang said he did not believe the assumptions by Mr. Silver made his forecasts more reliable.
Still, they said: "We believe these assumptions are conservative, and look reasonable based on recent events.
"We believe these assumptions currently overstate the magnitude of modal shift [in transport] that will be achieved.
But there is not much, beyond faith, to believe those assumptions will pan out — and even if there were, it is hard to see how the plan is the best way to go.
Largely it takes this view because S&P believes the assumptions underlying the budget projections are overly optimistic and because many of the "zombie measures" carried over from the 2014-15 budget – which on paper make the budget deficit smaller – are unlikely to pass.
They were so enamored of the elegance of their models and the consistency of their logic, he wrote, that they had come to believe that assumptions that were originally adopted merely as tools (perfectly rational individuals, efficient markets) by Milton Friedman's generation were so sacrosanct that economics wasn't economics without them.
