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Overall, our results indicate that, to make the most of the size-efficiency trade-off behaviour, the system must be operated at an efficiency of at least 40% but not more than 47%.
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For different ductile behaviours, the system reliability is estimated based on Monte Carlo simulation.
Hence, as well as using individual runs to examine the reasons for state changes, we can execute the model a number of times to estimate the average system behaviour, analyse the system's variability, and identify potential extreme behaviours.
If a system can adopt two separate states of behaviour, two discernible modes should be observable in the frequency distribution that displays the temporal behaviour of the system.
The behaviour of the system is promising.
By analysing and modelling behaviour patterns, the system learns what's normal and what's not.
In other words, the long-term behaviour of the system is determined by its eigenvectors.
In most instances, the behaviour of the system follows the path of minimum, or least, action.
Other aspects of the behaviour of the system are discussed.
Nevertheless, the emergent behaviour of the system as a whole is easy to visualise, as shown in Fig. 3.
The intent was to obtain a mathematical description of the macroscopic behaviour of the system rather than to ascertain the ultimate physical basis of the phenomena.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com