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For practical purposes, it would be useful to know the typical shape of a cycle and how to recognize its peak and trough.
In more complex behavioural systems there may be iterative and more incremental steps, and sometimes the models may take the shape of a cycle.
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Previous research shows that optimizing the shape of a battery cycle for Fisher information – an identifiability metric – can improve parameter estimation speed and accuracy significantly.
As both A β and h-tau further facilitate Ca2+ dyshomeostasis, the process appears to take the shape of an injurious cycle that leads to AD-related synaptic dysfunction and neuronal death.
It may be that Haruf plans to round out Reverend Lyle's story with another novel in what is taking shape as a cycle of works, like Louise Erdrich's Dakota novels or the Texas plays of Horton Foote.
In fact, the metallographic features of these bronzes state that all objects are manufactured and shaped during a cycle of cold working and heat treatment.
However, the appearance of harmonic peaks in limit cycle oscillations is sensitive to the shape of the limit cycle, for example, a circular limit cycle traversed at constant speed would not have harmonic peaks.
The results show similar mechanisms of instability, but now the average pressure in the limit cycle is given and hence only the shape of the cycle can change.
Both measures are less sensitive to the shape of the cycle waveform than the spectral analysis of the complete signal.
Since the desired shape of the limit cycle solution is known a priori, a relatively accurate initial guess for the parameters and trajectories can be found.
For each valve setting, the inlet pressure was gradually increased from zero to a maximum pressure and then back to zero according to a triangular shaped waveform with a cycle period of 60 min [ 4].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com