Therefore genome G is the solution of the Breakpoint Median Problem on P, Q and R. ▪ Assuming the Breakpoint Median Problem for four genomes L, P, Q and R were also NP-hard, although we are not aware of any explicit proof, we could use the same method employed above to show that GGH with two outgroups is hard under the d B distance.
As part of a project to provide a constructive semantics for intuitionistic logic, a formal logic of explicit proof terms was presented in Artemov 2001.
One can show that such three reactions are not sufficient to give a bistable system (the explicit proof is not necessary, because it turns out indirectly from the following analysis).
Outright bribery requires explicit proof of a quid pro quo, which is often difficult to get.
Bush's crooked Justice Department prosecutors wrongfully prevailed upon a Reagan-appointed judge to withhold that instruction and to allow Minor's conviction without the explicit proof of a quid pro quo.
We then give explicit proof of a stronger version of Remark 2.9 from Sauer et al. [29] that allows non-consecutive lags.
Rather, it is often only by providing an explicit, detailed proof for a result that the assumptions on which it depends become evident and, thus, its range of applicability established.
We have therefore included a purely algebraic treatment of quasi 3-crossed complexes giving explicit formulae for the structure involved in the passage from simplicial algebras to quasi 3-crossed complexes and an explicit direct proof of a freeness result due to Baues in [10].
There are few mouthpieces for the prosecution and although the viewer is left with a sense that this was a vendetta of some kind, there is no explicit proof to that effect.
There is no explicit proof that the defamatory stories have resulted from an organized campaign, but they've all come from the same establishment news sources — the newspapers Excélsior, Milenio, and sometimes _El Universal _and El Financiero, some of which also have their own radio and cable-television outlets; and the dominant television networks, Televisa and TV Azteca.
A parking ticket is 498 pesos ($30), and yet there is no explicit proof as to where that money goes.
