Although the distal layer is poorly constrained, the field observations constrain the ash layer on OL lower flank and base, and the vegetation analysis extends this constraint to the ~100 kmostost affected by the ash fallout, including 64 % of the total estimated ash volume.
We should also extend this idea accordingly for constraint (iii) mentioned above.
If we extend the constraint to the first 50 years and the last 50 years of a century (Figure 2C), the possible number of arrangements increases again (1 1!1!1!4!2! = 48).
Several attempts have been made to extend the constraint-based modeling framework, in order to account for regulatory interactions (Covert et al., 2001), signaling processes (Lee et al., 2008b), the first and second laws of thermodynamics (Beard et al., 2002, 2004), or metabolite concentrations (Kümmel et al., 2006b; Henry et al., 2007).
By extending the constraint-based modeling framework to encompass thermodynamic constraints on Gibbs energies of reactions, knowledge of absolute metabolite concentrations can be translated into constraints on flux directions (Kümmel et al., 2006b; Henry et al., 2007).
Experiments 2 and 3 showed that the effects of this constraint extend to superficially and structurally different analogs.
For this problem we need to extend traditional constraint-based scheduling techniques in two directions: (i) compute the probability of sets of scenarios in polynomial time, in order to get the expected value of the objective function; (ii) define conditional constraints that ensure feasibility in all scenarios.
The UPnP stack implemented within this module tries to solve this constraint, extending such discovery mechanism.
This constraint extends to more recent words and phrases as well.
Soft constraints extend classical constraints to deal with non-functional requirements, over-constrained problems and preferences.
