Sentence examples for long run behaviour from inspiring English sources

Hence, the system evolves according to the transition probability p i, j) = P{X(t + 1) = j|X t) = i}, where The long run behaviour of the Ehrenfest process can be inferred from general theorems about Markov processes in discrete time with discrete state space and stationary transition probabilities.

The null hypothesis is rejected for α level of significance if Q > χ l − α,h 2. The aim of the trend analysis is to get the best fitted model to be applied for forecasting the long run behaviour of the series as a function of time [28].

This implies that there are additional situations where the transient dynamics of the system differs from the long-run behaviour of the system.

The attractors of a Boolean network characterise its long-run behaviour [ 8].

On the other hand, attractors represent the essential long-run behaviour of the modelled system [ 31].

If, however, perturbations are incorporated, the long-run behaviour of the network is characterised by its steady-state distribution.

Thus, the long-run behaviour of the network given by its steady-state probabilities is of a special interest.

In this way the attractor states remain significant for the description of the long-run behaviour of a Boolean network after adding perturbations.

Generally, in the study of dynamical systems, long-run behaviour characteristics are of utter importance and their determination is a main aspect of system analysis.

Similarly as in the case of Boolean networks, attractors play a major role in the characterisation of the long-run behaviour of a probabilistic Boolean network.

The steady-state probability distribution, where each state is assigned a non-zero probability, characterises the long-run behaviour of the BNp.