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Needless to say, this engineering machinery was the original motivation for the development of the approach to wobbling bijections using shearings.
During the fourth major impulse, the particles interact for four times as long, and are more affected by the wobbling potential.
The composition of two wobbling mappings has the same quality, and this also holds for the inverse of a wobbling bijection.
The roughness and low-level wobbling of the disk, did not appear to have any appreciable influence on the above-mentioned phenomena.
Wobbling mappings occur in many real-world situations: rounding in numerical analysis, image processing, distortion of crystals, and earthquakes are typical examples.
Taking a closer look at the combinatorial ideas behind his approach, we consider mappings with a 'wobbling property'.
The converse statement, that wobbling paradoxicity implies doubling, is obvious.
Finally, we take a look at paradoxical situations and exhibit recursive point sets that are wobbling equivalent, but not recursively so.
Continued fractions will play a crucial role in the effective construction of certain wobbling bijections.
Section 4.6 inspects the frenzy of the walker and random wobbling of the well.
The vertical bars indicate the achieved wobbling distances and the reasonably good empirical convergence to (4.9) with the usual number-theoretical background noise.
Moreover, we evaluated 2 1+t the wobbling bijection (4.12) for unit lattices of size 500 x 500 and 1000 x 1000 centred at the origin.
We call subsets of a metric space 'equivalent' if there exists a wobbling bijection between them.
The wobbling distance is as follows.
