Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K kids, Billiard Tables. Why are you playing billiards. A billiard is a dynamical system in which a particle alternates between motion in a straight line .. the strong ergodicity of the system.) N. Chernov and R. Markarian, "Chaotic Billiards ", , Mathematical survey and monographs nº , AMS. Mathematical billiards describe the motion of a mass point in a do- main with elastic reflections from the boundary. Billiards is not a single mathematical theory.

### Billiards math - wenn

Navigation Main page Contents Featured content Current events Random article Donate to Wikipedia Wikipedia store. There was an error. The model is exactly solvable , and is given by the geodesic flow on the surface. General results of Dmitry Burago and Serge Ferleger [2] on the uniform estimation on the number of collisions in non-degenerate semi-dispersing billiards allow to establish finiteness of its topological entropy and no more than exponential growth of periodic trajectories. Text is available under the Creative Commons Attribution-ShareAlike License ; additional terms may apply.

The general study of chaotic quantum systems is known as quantum chaos. Updated June 14, Unfold the billiard table ABCD across all sides and draw a picture. Alhazen's billiard problem seeks to find the point at the edge of a circular "billiards" table at which a cue ball at a given point must be aimed in order to carom once off the

casino carpet of the table and strike another ball at a second given point. Billiard balls collide with nearly perfect elasticity. Find 3 points, each on a different side of the rectangle ABCD, such that the ball at S enters pocket C.

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