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The rigid bodies, named 1 and 3 in Fig. 4, are characterized by a rigid translation along the horizontal and vertical direction, respectively, while, the blocks named 2 move with a rigid translation u and a rigid rotation φ.
Such a peculiarity of the GB atomic topography points out that the {110} crystallographic planes stay planar through the boundary without rigid translation along the <110> direction.
The comparatively broad probability distribution near the zero value of the full vector of rigid translation is evidence of the existence of multiple translation states of special non-CSL GBs.
The Procrustes approach matches one configuration to another and produces a measure of match, while seeking the isotropic dilation and the rigid translation, reflection and rotation needed to best match one configuration to another (Cox and Cox, 1994).
Notice that, in the case of a (hat{Z}_{c} -walk, the walker-coin entanglement and the rigid translation of the initial state towards the extremes of the walker line implies a final walker state (hat{rho}_{p}(N)=frac{1}{2}(vert {N} ranglelangle{N} vert +vert {-N} ranglelangle{-N} vert )).
Also, pSTS is more active with the scrambled motion than with a rigid translation which preserves the configuration of the human body but destroys biological kinematics [46].
Similar(44)
Subsequently, the resulting rigid transformation (translation and rotation) is applied to the target PET to ensure that the target PET properly aligns to the reference PET. 3.
We used "rigid" transformation (translation and rotation) to register all 2 × histology images.
While elastic (non-rigid, deformable) fusion is expected to alter the information of PET data, the present study assessed whether the corresponding interpolation also has an impact on semiquantification in a rigid (translations and/or rotations only) transformation setting.
For small mutual shifts of grains, the normal to surface component of the rigid-body translation in a direction normal to surface formed by field evaporation, rigid translations is [17] Tn=frac{rho varDelta rho }{r}, (2 where Δρ is the difference between the step radii in adjacent grains and r is the radius of curvature of the specimen.
(14) Eq. (13) is the incoherent counterpart of Eq. (6) and it shows that, in the presence of full dephasing noise, the system evolves towards an incoherent mixture of the two rigid translations of the walker initial state (devoid of all its coherences).
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