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We utilize a Markov chain model with a Gaussian distribution in its transition to describe trajectory behavior.
The model properly predicted trajectory behavior of estradiol and testosterone when fish were exposed to fadrozole, a specific aromatase inhibitor, but failed to predict the steroid hormone behavior occurring one week post-exposure as well as the increase in steroid levels when the stressor was removed.
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The results show that it has rich dynamical behaviors, including complicated phase space trajectory, hyperchaotic behavior, large maximum Lyapunov exponent and typical bifurcations.
He added that the fault occurred in the "real dynamics of the vehicle" — a term describing the weapon's trajectory and behavior — and could not have been revealed by underground explosive testing or by examining the components.
One alternative direction has been the study of the role of short term memory in contributing to reinforcement effects on the so-called trajectory of behavior (see Killeen 1994).
Importantly, we observed effects of the predictable trajectory on behavior.
Retirement and drug abuse: The conditioning role of age and retirement trajectory, Addictive Behaviors.
The trajectories' transient behavior relevant to this paper corresponds to the time elapsed from the initial point (red dots in Fig. 4) until they cross the corresponding v-nullcline (dashed-red line), reaching their maximum value for v.
Thus, in order to meet the needs of biologists, it is essential to collect data on bees at different levels: numbers of bees, trajectories, and behaviors.
By comparing the current interest matrices of users, their current interest difference can be derived, where a small user interest difference means the possibly similar user trajectories and behaviors.
The structure of the model was fairly simple, but was able to produce a wide range of stand trajectories and behaviors across a range of stand conditions defined within Reineke's (1933) stand density space (McGarrigle et al. 2013).
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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