We study the generalization of NC ball maps to these pencil balls BL, and call them "pencil ball maps".
In this paper we characterize NC analytic maps that send dimension-free matrix balls to dimension-free matrix balls and carry the boundary to the boundary; such maps we call "NC ball maps".
In the earlier paper (Helton et al. (2009) [9]) we characterized NC analytic maps that send dimension-free matrix balls to dimension-free matrix balls and carry the boundary to the boundary; such maps we call "NC ball maps".
That is, pencil ball maps are simple, in contrast to the classical result of D'Angelo (1993) [7, Chapter 5] showing there is a great variety of such analytic maps from Cg to Cm when g≪m.
That is, "NC ball maps" are very simple, in contrast to the classical result of D'Angelo on such analytic maps in C. Another mathematically natural class of maps carries a variant of the noncommutative distinguished boundary to the boundary, but on these our results are limited.
Clamoring, "Ya gotta have balls!" Steiner gives his fans what they need: Ball Park maps, signed baseballs packaged in classy cases with authenticated field dirt for passionate collectors.
The video also shows a globe mapped onto the sphere, some video playing in a crystal-ball effect, and Pong-like game.
WipEout, for example, lets you slide your finger along the back to accelerate, but more interesting, is the level in mini-game collection, Little Deviants, where you prod a landscape from beneath to create little hills, thereby guiding a ball around the map.
Then the resulting vector is applied to the "Add Torque" function, so that the result is added to the movement of the ball in the map.
