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The outputs x p t) and y p t) specify the trajectory input provided to the feedback controller.
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Pre-designed transformed cosine profiles are used as trajectory inputs for the hub angle and the moving mass.
One called ProcessRheology.py, a configuration driven program performing all processing steps from particle trajectory inputs, thus presenting the various capabilities of the library (Figure 1).
Additionally, the program can be used to analyze a series of conformers from molecular dynamics (MD) trajectories inputted in PDB file format or programmatically through Python NumPy arrays.
All shown analyses only require a standard MD trajectory as input data.
To isolate smaller areas and specific behaviors associated with different ranges of the alarm function, we work with the differential probability gain function that can be defined as the derivative of a continuous Molchan trajectory, g input current = − ∂ν / ∂τ.
The Epock program takes a topology and MD trajectory as input.
As shown in figure (5) this partition of phase space is characterized by a different functional behaviour of the trajectories upon input: starting in one part (yellow area) the trajectory will first join/intersect the nullcline Ż = 0 and then following the nullcline until it reaches the fixed point.
The optimal trajectory of inputs and outputs is off-line computed by using first principles model.
Logic models provide a visual and diagrammatic representation of a programme that depict a plausible and intended trajectory from inputs and activities to outputs and outcomes [ 6].
This is the L2-gain of the system, for which we can again obtain an upper bound by constructing an appropriate storage function S. To do so, given the appropriately normalized system (2) and ε > 0, we assume that the trajectories with input u with || u||2 = ε and initial condition 0 remain in a region D around the steady state (the origin) for all time.
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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