Sentence examples for rotational transformation from inspiring English sources

In addition the experiment shows that our system is fairly robust with respect to the rotational transformation, achieving the desirable property of the rotation invariance.

The corresponding boundary conditions for thermal analysis are derived precisely according to each rotational transformation.

An object is called chiral if there is no translational or rotational transformation that allows its mirror image to be superimposed onto the original one.

Besides, rotational transformation, positive and negative sequence decomposition and phase-locked loop (PLL) strategy are successfully eliminated, resulting in a simplified calculation process.

n, o, a is the rotational transformation matrix vector from the ith link to the end coordinate system of the robot, and p is the position vector from the ith link to the end coordinate system of robot.

However, differently from the NCs in SiO2, for sizes relative to the group 2, the angular symmetry of γ is still conserved, but the radial one begins to be lost (, i.e. f ij is invariant for rotational transformation but not for the translational ones.

To simplify the domain of the structures, cross-sectional and rotational transformations are applied to problems with curved cross-section and pretwisted geometry.

This fact is reflected in the invariance of f ij both for translational and rotational transformations and, as a consequence, in the symmetrical single crystal icosahedral structure for the equilibrium shape of NCs in SiO2.

The algorithm, at each step, is a hybrid of boundary-integral and economical multipole techniques, with extensive use of rotational transformations and economical truncation of multipole expansions to optimize near-field interactions.

The algorithm exploits the idea that only the interaction of the low-frequency harmonics is long-ranged to construct the "economical truncation," as well as the rotational transformations of spherical harmonics to promote the efficient iterative solution.

Fig. 5a shows, for the smaller sizes (group 1), a situation similar to the case of NCs in SiO2, i.e. γup and γdown lying in identical angular position and assuming identical values ( : both angular and radial symmetry of γ is present (f ij is again invariant both for translational and rotational transformations).