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No one expected a smooth trajectory from the seven decades of Soviet dictatorship to Jeffersonian democracy, but the years under Mr. Putin have been a whipsaw.
People will try to read your life, to seek out the "roots" of who you are, to treat your experience as a project in literary criticism – as if everything you've suffered and undergone was a smooth trajectory to this momentous moment.
A smooth trajectory was formulated to minimize jerk caused by the power shovel motion.
Given a step-like obstacle, the power shovel should maneuver its arm to climb up the obstacle in a smooth trajectory.
Furthermore, a smooth trajectory of the machine is preferred to avoid any vibrations and jerk exerted on itself and on its surroundings.
Thus, a robot with high k 1 and low k 2 will prioritize goal following at the cost of maintaining a smooth trajectory.
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Finally, the Gaussian filter is applied n times (once for each point in the trajectory), generating a smoothed trajectory (indexed by k) for each σ i previously calculated.
The first additional stage in the VFH+ algorithm was used to provide a hysteresis function between two threshold values, to reduce the oscillations and produce a smoother trajectory.
FFT and WT have already been applied on MODIS VI time series to retrieve a smoothed trajectory vegetation growth cycle [8].
Figure 2a shows a smoothed trajectory obtained from approximately two hours of video of a wild-type fly in the open field; a short section of the corresponding speed profile is presented in Fig. 2b.
In the late phase (about the >50th session) of the training, in three of the five animals, a very smooth trajectory consisting of continuous motions exhibiting a single velocity peak (dotted blue line, Fig. 3Bb, Movie S8) occasionally appeared.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com