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In the following step a state-space controller is designed in order to control the car along that trajectory.
Along that trajectory, a lot of incredible things will have to go down first, but they are already starting to happen.
The trajectory of the luge on the ice track was estimated using a quasi-static force balance and a 1d equation of motion was solved along that trajectory.
Therefore it can be even more important to understand how to critically evaluate the patient: (1) what is the trajectory of their specific condition (disease stratification); (2) how far along that trajectory have they progressed (disease staging); and (3) how rapidly are they progressing (prognostic velocity).
This directional enhancement in turn facilitates color integration along that trajectory but suppresses color integration along the retinally stationary trajectory.
The limit cycle frequency could either increase or decrease relative to the eigenvalue's predictions, depending on both the length of the limit cycle trajectory and on the speed or strength of vector field along that trajectory.
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The change in the quasi-potential, Δ V q, can be rewritten from Eq. 4 as: (5) For positive increments in time Δ t, Δ V q is thus always negative along an evolving trajectory, ensuring that trajectories flow "downhill" along a putative "quasi-potential surface".
In all, 19 Nike antiaircraft missile bases guarded the New York area along the trajectory that Soviet missiles would have followed to close in on New York.
Thus, the employment share of the manufacturing sector is constant along the trajectory that is linear and parallel to the v 3 v 1-edge of the 2-simplex (cf. Fig. 1).
In this case, the cost-to-go function is not differentiable along the trajectory that ends in this point, but the conditions mentioned before are satisfied, and this is the optimal synthesis.
Importantly, we find that there is no one single relevant timescale along the trajectory but that the coding process may use states expressed on faster or slower timescales depending on the temporal properties of the stimulus (Figure 5).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com