Примери за billiard

• Someone had damaged the table with a billiard cue.

• The clack of billiard balls could be heard from the next door room.

• There is a full-size billiard table in one of the downstairs rooms.

• We exclude = 1 and = 0 from our consideration, as the singular set 1,0 of the corresponding billiard table coincides with its boundary.

• Two such billiard tables will be called geodesically equivalent if they are geodesically equivalent in the complement of the union of the corresponding singular sets.

• A slab of freshwater ice formed the smooth top of a billiard table made of ice blocks, with pockets and cushions crafted out of walrus-hide.

• In the case of geodesically equivalent billiard tables, these integrals are pairwise commuting.

• Whenever the billiard particle enters the hole, it gets absorbed with its orbit deleted from the phase space.

• Another class of integrable billiard tables appears on quadrics.

• It is weaker in that a uniformly distributed billiard path is always dense, but not conversely.

• In [6], it is shown that the topological entropy of a compact non-degenerate semi-dispersing billiard on any manifold of non-positive sectional curvature is finite.

• In this paper we show that the topological entropy of a compact non-degenerate semidispersing billiard on any manifold of non-positive sectional curvature is finite.

• That theory is already applicable for billiard systems, too.

• Thus, we obtained that any cylindric billiard with one-dimensional generators is necessarily tight, unless all generators are parallel.

• The connected configuration space of a so-called cylindric billiard system is a flat torus minus finitely many spherical cylinders.

• The transformation in question is a projective billiard transformation, the transversals being the normals to in the metric under consideration.

• The billiard transformation is defined in metric terms (equal angles), and, in particular, it is not equivariant under projective transformations of the plane.

• An example of this situation is given by the usual billiard in an ellipse; the billiard transformation has an invariant area form.