The insight underlying this is that the notion of rigid displacement therefore of rigid coordinate system, and inertial frame imposes a priori a degree of uniformity, or symmetry, on spacetime; the displacement of bodies without change of dimension, and the transport of an ideal clock without distortion of time-intervals, requires a homogeneous space.
This procedure yielded a constrained placement of the toxin, which was subsequently refined by rigid-body, coordinate-based B-factor refinement in CNS with manual adjustments, where appropriate.
This improved placement was used as a starting point for crystallographic refinement, which was subsequently refined by rigid-body, coordinate-based B-factor refinement in CNS with manual adjustments, where appropriate.
However, in order to build a model for the toxin in each case, we started from the model of the toxin as built above and carried out subsequent rigid-body, coordinate-based B factor refinements in CNS (Brunger et al., 1998; Brunger, 2007) with slight manual adjustments of the model in COOT (Emsley and Cowtan, 2004) wherever deemed appropriate from prominent features in the electron density map.
[29] Cyt f and Pc were both considered as rigid bodies, the coordinates of Cyt f were fixed, and Pc was allowed to move in a restrained rigid-body molecular dynamics calculation.
Refinement of the model was performed using anisotropic scaling, bulk solvent correction, rigid body refinement, coordinate and individual restraint B factor refinement, and simulated annealing using PHENIX [45].
In this article, we consider rigid hypersurfaces in with coordinates z,w=u+iv.
All of the rigid registration-MRIs were coordinated (0, 0, 0) from the centre of the anterior commissure.
After localizing the rigid body transfer of the coordinates of rigid body's center of mass is done in Real Time using vrpn library.
On the basis of stress and strain analysis in the orthogonal and non-orthogonal coordinates and the rigid body rotation matrices, the relationship between the stresses and strains in the global coordinates is obtained.
