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Likewise, to determine to what extent connections between cells are part of the divergent part of the trajectories, we calculate the probability that the most probable trajectory crosses a cell connection and the least probable trajectory fails to do so.
Collision Prediction aims at estimating the most probable trajectory of a given obstacle.
The most affluent neighborhoods are the least likely to experience change but are associated with the most probable trajectory of change featuring densification.
For sufficiently large values of t (>n2+12n(n+1)), the most probable trajectory has a convenient characterization in terms of the above decomposition, and can be computed in time O(nlogt).
This choice can be physically understood to collect all low-frequency fluctuations in the past of the evaluation of the observable at time t. Figure 2 shows that the escape process is driven by strong noise (c), with a maximum intensity at the time where the most probable trajectory (d) reaches the inflection point of the barrier.
end{aligned} (18) In Figure 2(b) we observe, again, a sharp feature in (P_{uparrowtodownarrow}(t_{0})) at the point in time where the most probable trajectory (d) reaches the steepest point on the potential barrier, and the driving noise (c) reaches it maximum strength.
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B.F. worked analytically on the epicyclic equations and carried out the cumulative distribution function calculations for the most probable trajectories.
Here we report calculations of the most probable trajectories and masses of the supernova progenitors, and hence their explosion times and sites.
Dieter Breitschwerdt et al. report calculations of the most probable trajectories and masses of the supernova progenitors, and hence their explosion times and sites.
Figure 2 Qubit coherence during a switching event ( (pmb{t_{0}< t_{mathrm{f}}}) ) (a), probability for an induced bit flip error as a function of (pmb{t_{0}}) (b), the corresponding most probable noise trajectory (pmb{f_{mathrm{opt}}(t_{0})}) and (c) most probable switching trajectory (pmb{x_{mathrm{opt}}(t_{0})}) (d) for various values of (pmb{t_{mathrm{f}}}).
According to the formulation, the most probable dynamical trajectory connecting the initial and final atomic configurations, is determined through minimizing an appropriate object function that is derived from the classical action by imposing dynamical conditions as required as the conservations of total energy.
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