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When the azimuthal orientation of a retroreflector was rotated from Fig. 1, such a rotation would be required.
Such a rotation usually falters in a long tournament.
The transformation equations for such a rotation are given by x = x′ cos ϕ − y′ sin ϕ and y = x′ sin ϕ + y′ cos ϕ.
Such a rotation can be fully defined by specifying its quaternions.
The energy cost of such a rotation is described by structural anisotropy, a new concept proposed in that theory.
Such a rotation will take place at the input of the IDFT and will produce a delay of the same amount of samples at its output.
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How the brain achieves such a rotation-invariant visual representation of the world remains unclear.
This can lead to significant changes in morphologies, such as a rotation of the pit during deposition as evidenced in Ge/Si experiments.
However, because we want to determine the displacement field there is no reason or computational benefit to introduce another quantity such as a rotation field.
The choice of the test functions can also be based on introducing a new field such as a rotation instead of δ u k,i, see for example (Bauer et al. 2012).
The mean rotations for the two data sets under consideration will be denoted as M O and M P. For each observation in O 1,…,O n, there exists an axis A Oi such that a rotation by angle (arccos [!(text {trace}left (mathbf {M}_{O}^{T}mathbf {O}_{i}right -1)/2]) abO}_{i}right -1result in the meaboutO.
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CEO of Professional Science Editing for Scientists @ prosciediting.com