Control parameters must assume optimal values in order to attain minimum worker number within a finite time-scale feasible in a clinical set-up.
The use of saltation matrices to propagate perturbations through the refractory state is a little more subtle than through switching and firing events, since the former occur over a finite time-scale (tau_{text{R}}) whilst the latter are instantaneous.
Such a formulation leaves much to be clarified: reliability is not clearly defined and the requirement that the demon only fail in the infinite time limit seems to allow arbitrarily large violations on any finite time scale we might care about, with probabilities as close to one as we please, provided they do not actually reach one.
The explicit appearance of time in the formulation introduces a short but finite time scale, which permits the consideration of contact of any combination of mechanical bodies, including rigid and discretized deformable bodies.
( a, b ) T : = ( a, b ) ∩ T etc., we define any combination of right and left open or closed intervals), [ a, ∞ ) T : = [ a, ∞ ) ∩ T, σ, ρ, μ and f Δ stand for the finite time scale interval, infinite time scale interval, forward jump operator, backward jump operator, graininess and Δ-derivative of f.
Thus, equation (1) represents an extension of equation (2) to finite time scales under inclusion of compartmentalization and chemical conversions of protein species.
But on a smaller scale, for a finite time, they also create them.
Thus, u blows up at a finite time T. Similarly to [20, 23], we utilize the scaling method to obtain the blow-up rate estimate (3.2).
For the last time scale, we proved stochastic boundedness of some normalized species numbers in a finite time interval.
Further, a finite weight traverses any finite distance in a finite time.
