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In the radio model, the inability to choose direction of transmissions makes the straightforward colouring of the ring insufficient for avoiding collisions.
The total balance of the evolution is: two collisions and seven collapses.
The collisions of other combinations of waves that occur in solving- are simpler.
Note that for cylindrical semi-focusing billiards, the same happens for consecutive collisions with the flat boundary components.
All they do between collisions is to translate rectilinearly while rotating concomitantly.
No longer a result of perspectival extrusions and planar collisions, space is now a product of the hollowing and localized dissolutions of emergent landforms.
All these results assume finite horizon: that is, the free path between collisions must be bounded above.
Delivery rates are more efficient to protoplanetary discs, as the solid grains effectively sputter the incoming material in hypervelocity collisions.
Indeed, nebular drag and collisions would ensure that orbits with zero eccentricity were preferred.
Such rapid migrations increase the accumulation of small solids, particularly around the midplane, and enhances the rates of their collisions and coagulation to larger objects.
Now we know that there are villains who use magnetic devices at long distance in order to cause collisions.
The electron distribution function is assumed to be isotropic due to electron- electron collisions.
However, if the barrier is low, a significant fraction of collisions leads rapidly to a reaction event.
A high degree-of-redundancy is important especially when the manipulator is working in an environment with many potential collisions with obstacles.
With tactile sensors the collisions can be detected.
