Shannon's Juggling Theorem

Theorem 1. In a uniform juggle with dwell time \(D\), vacant time \(V\), flight time \(F\) then

$$\frac{F+D}{V+D}=\frac{B}{H},$$
where \(B\) is the number of balls and \(H\) the number of hands.

Scientific Aspects of Juggling.

In Claude Elwood Shannon: Collected Papers. Edited by …

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