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Here, we assume that the direction of the force from the end effector is the tangent direction of the arc centered on the axis of rotation of the object [21], and we assume that the end effector is position-controlled.
To create vertical stripes on the walls of the test cylinder, we projected a circularly symmetric series of alternating black and white sectors (i.e. pie wedges) centered on the axis of the cylinder.
Gravity-driven wheel locomotion is known in the wheel spiders (Carparachne spp ., which live on the steep sand dunes of the Namib Desert in Africa [11]; these spiders cartwheel; that is, their body is centered on the axis of rotation, with their legs projecting at angles to form spokes and bent distally to form a rim.
A rendered image of the biofilm is displayed in Fig. 6a (Media 2) while in Fig. 6b a radial maximum intensity projection (rMIP) centered on the axis of the implant can be seen.
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As illustrated in Fig. 1, the posterior and anterior corneal surfaces were modeled as spheres centered on the optic axis of the eye with radii of 7.7 mm and 6.8 mm, respectively.
The back-projection algorithm reconstructed 3D volumes composed of transverse sections centered on the rotational axis of the system.
With a polar reference system centered on the rotation axis of the wheel, strain results have to be interpolated over a grid of 936 nodes corresponding to 26 radial distances r and 36 angular positions.
To insert the protein into a lipid bilayer, water molecules that were within a 30 Å slice centered on the transmembrane axis of the protein were trimmed away.
When viewed from the end-on perspective and the spike undergoes a rotation of ∼5° following binding (Movie S2), and the mass at the center of the axis of symmetry on the distal end of the spike redistributes itself from one small central blob to three blobs or nubs (Figure 3 F,J).
The advantage of this approach is to allow the analyses to be performed over a buffer centered on the current axis instead of using a wider region.
The object is rotationally skewed symmetric if the best fit ellipses of all the vertex sets have parallel axes, equal ratio of major radius to minor radius and centers on the axis of rotation.
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