So, the orthologous genes identification problem is restated as the problem of maximizing their sequence similarity under the constraint that the orthologous genes are filtered by similar COG function and are grouped into a minimal number of operons.
As a result, the commonalities related to minimum range resolution for target detection can be considered irrelevant, once the pulse transmission problem is restated as a standard, albeit, 3D communication problem.
The upper bound problem is restated as follows: min x i, y i ∑ i = 1 N a i x i + b i y i subject to ∑ i = 1 k 1 x i + 1 + 1 y i + 1 ≤ ∑ i = 1 k ρ i k = 1, …, N, x i ≥ 0, y i ≥ 0, ∀ i. (43).
Instead, the wheels are reinvented; the problems constantly restated.
However, the research problem can be restated in statistical terms, to ask whether the steps taken around such major organizational features of a society are often correlated with certain other features.
In this formulation, the prediction problem can be restated as follows: given your past cell sequence up to time t, which cell will you visit at time (t+Delta t)?
But AOL Time Warner is expected to leave open the possibility of turning up more problems or restating past revenue, and deferring its internal reckoning will probably increase anxiety about potential liability in lawsuits by shareholders and securities regulators.
AOL Time Warner said yesterday that it had turned up several additional improper transactions at its AOL division, broadening the extent of its acknowledged accounting problems and restating its reported revenue down by $190 million over a two-year period that ended this summer.
It is important that although our restated optimization problem remains an NP-hard knapsack problem, it shares important optimality properties with the Lagrangian approach.
D-Wave thinks that many problems in computing might be restated as optimization problems and that its machine could be coupled with cloud computing systems for particularly hard problems.
