In Figure 9 we show a sequence of reduction processes that, applied to the network in Figure 2, reduce it to a tree with two leaves.
One important theorem, the normalisation theorem, says that this cannot happen with simple types: if we have M: A then M is normalisable in a strong way (any sequence of reductions starting from M terminates).
The relaxation follows a sequence of cascading reductions in the supercoil linking number (Lk), twist (Tw), and writhe (Wr) that follow companion cascading reductions in the supercoil elastic and electrostatic energies.
The two key steps of this efficient synthetic route were (1) the preparation of protected δ-azido-didehydro α-amino acid precursors using Wittig-Horner reactions and (2) a sequence of Staudinger reduction and a novel domino reaction for the construction of the capreomycidine scaffold.
In contrast, an approach based on combining numerical optimisation methods with computational simulation allowed a sequence of tidal volume reductions to be computed for each virtual patient that maintained PaCO2 levels while significantly reducing peak airway pressures and dynamic alveolar strain in all patients.
A sequence of four stages: reduction, steam reforming, oxidation and heat removal ensures the production of a continuous high temperature and high pressure gas able to efficiently drive a gas turbine for power generation in combination with a steam cycle.
The imidazole ring of GTP is hydrolytically opened, yielding a 4,5-diaminopyrimidine that is converted to 5-amino-6-ribitylaminouracil by a sequence of deamination, side chain reduction, and dephosphorylation.
The proposed match reduction approach solves a sequence of subproblems, posed as transportation problems, successively reducing the set of matches that are considered in the next stage.
We use this idea to design a Newton-like algorithm to solve tropical linear-fractional programming problems, by reduction to a sequence of auxiliary mean payoff game problems.
Gürlebeck and Sprößig [32, 33] solved this system by a reduction to a sequence of Stokes problems provided the external force f belongs to (L^{p} (Omega,mathbb{H})) for a bounded domain Ω and (6/5< p<3/2).
