Furthermore, neither our models nor physical systems run for infinite time, but an infinitely long time is required to verify the presumed exponential divergence of trajectories issuing from infinitesimally close points in state space.
aFor an infinitely long time-window T W, (15) and (16) become equalities.
Should we have continuous and/or infinitely long time series the frequency filtering could be an exact procedure.
In particular they have pointed out that if the hypothesis is true, averaging over an (infinitely) long time would be identical to phase averaging with the microcanonical distribution.
The LSS problem is then linearized in our sensitivity analysis algorithm, which computes a derivative that converges to the derivative of the infinitely long time average.
We have examined an annealing at an infinitely long time at 200 °C (∼20 min) to erase the thermal history in the nano-composites.
where A 3 and A 4 are positive constants and I ph refers to the photocurrent after infinitely long time of the decay experiment, which essentially is the dark current.
Then the following holds: (a) there exists a 2-glass deterMinskyic machineMMchine ( MM _2) which "enumerates" X in the following sense: for every (min {mathbb {N}}), if (min X), then ( MM _2) takes configuration ((1 2^m,0)) to the accept configuration (0; 0, 0), if (xnot in X), then starting with ((1 2^m,0)) it works infinitely long time.
there exists a 2-glass deterMinskyic machineMMchine ( MM _2) which "enumerates" X in the following sense: for every (min {mathbb {N}}), if (min X), then ( MM _2) takes configuration ((1 2^m,0)) to the accept configuration (0; 0, 0), if (xnot in X), then starting with ((1 2^m,0)) it works infinitely long time.
For a given RBN, we assume infinitely long time series and start from all possible initial states.
