Comprehensive model space based biochemical equilibrium model selection methods are realizable.
Once again, if P has more than one realizer, then P is multiply realizable.
The results show that the Realizable k ɛ model seems to be the most accurate choice for the simulation of high pressure systems, providing average deviations lower than 18% from experimental values.
The significance of implementing accurate numerical schemes, as well as the choice of available k ε turbulence models (standard, RNG, realizable), solid wall boundary conditions and granular temperature models were investigated.
Then, the N values {1, e jθ, ej 2θ,..., ej N-1)θ} cannot all bej N-1inct for, if they were, the channel vector (9) could be chosen arbitrarily by suitable choice of interpolating polynomial f, contrary to the fact that the realizable channels are restricted to the L dimensional space Range (R).
In HA it is possible to express an axiom of recursive choice CT (for "Church's Thesis"), which contradicts LEM but is (constructively) realizable.
One popular choice is to use ad-hoc pseudo high-order schemes to ensure realizable moment set is obtained.
In the language of analysis, Markov's Principle and the negative translation of the countable axiom of choice are among the many non-intuitionistic principles which are function-realizable (by classical arguments) and hence consistent with FIM; cf. Kleene [1965], Vesley [1972] and Moschovakis [2003].
Robert Grosseteste (1168/75 1253) taught that the opposites of actualized contingent things are no longer realizable possibilities, though they are possible alternatives in the sense that they could have been included in God's eternal providential choice.
From now on we must do what is realizable".
