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These motion parameters are used to compensate head motion such that normalized mouth images can be parameterized by PCA correctly.
Then, the conclusions of Theorem 2 remain true with W t) being a G-Brownian motion such that W(1)∼N 0,[r −2,1]).
The CSC apparatus produces the satellite motion such that the coiled column simultaneously rotates around the sun axis (the angular velocity, ω1), the planet axis (ω2) and the satellite axis (the central axis of the column) (ω3).
Further, in Day Four, when he is giving his proof of the Copernican theory by sketching out how the three-way moving earth mechanically moves the tides, he nuances his matter theory by attributing to the element water the power of retaining an impetus for motion such that it can provide a reciprocal movement once it is sloshed against a side of a basin.
However, in our opinion, it was more difficult to slow down the frequency of oscillation, simply because no human could passively cause the hand to have a negative stiffness, rather, any human would need to actively exert forces on the force-feedback device to counter its motion such that its frequency of oscillation decreased.
Several groups, including our own, have been conducting research into tracking the head motion of an awake animal (usually a rat) during a scan and correcting the PET data post-acquisition according the measured motion, such that a reconstruction can be made free of motion artefacts [10, 11].
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A methodology is proposed to correct the observed motions such that, after double integration, they are coherent with the local value of the residual displacement.
In this study, the annotation task was openly available from our research laboratory's website as shown by Figure 2. The students and researchers from my department are allowed to annotate the motions such that appropriately assigned descriptive texts can be collected efficiently.
With regards to Rigid-Translation and Whirligig conditions, it has previously been shown that harmonic motion (such as that of Rigid-Translation and Whirligig) satisfies the 2/3 power law exactly [28].
In the underlying problem, the measurement matrix needs to represent a discretized four-dimensional (4-D) space of the unknown motion parameters, such that each point in the discretized space represents a hypothetical combination of target motion parameters (v x,v y,a x,a y ).
In this example the motion of the minute hand is a uniform circular motion, but the concept of phase also applies to simple harmonic motion such as that experienced by waves and vibrating bodies.
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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