One important and nontrivial consequence of the discreteness condition in combination with the independent translations condition is that the group can only contain rotations of order 2, 3, 4, or 6; that is, every rotation in the group must be a rotation by 180? 120? 90? or 60?
42.
Since LQG is based on a specific quantum theory of Riemannian geometry, geometric observables display a fundamental discreteness that play a key role in quantum dynamics : While predictions of LQC are very close to those of quantum geometrodynamics ( QGD ) away from the Planck regime, there is a dramatic difference once densities and curvatures enter the Planck scale.
43.
The frontier barroom scene that opens his " McCabe & Mrs . Miller " ( Louis Lombardo, editor ) has snippets of conversations underlying the foreground action . " Ken Dancyger describes the effect in terms of its undermining of dialogue as an element in the film, " Many characters speak simultaneously, and we are aware of the discreteness of their conversations, but as their comments bleed into those of others, the effect is to undermine the dialogue.
44.
Agent environments can also be organized according to various properties like : accessibility ( depending on if it is possible to gather complete information about the environment ), determinism ( if an action performed in the environment causes a definite effect ), dynamics ( how many entities influence the environment in the moment ), discreteness ( whether the number of possible actions in the environment is finite ), episodicity ( whether agent actions in certain time periods influence other periods ), and dimensionality ( whether spatial characteristics are important factors of the environment and the agent considers space in its decision making ).
