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An n-th busy beaver, BB-n or simply "busy beaver" is a Turing machine that wins the n-state busy beaver game. [4] Depending on definition, it either attains the highest score (denoted by Σ(n) [ 3 ] ) , or runs for the longest time ( S(n)) , among all other possible n -state competing Turing machines.
The English verb "to beaver" means working with great effort and being "as busy as a beaver"; a "beaver intellect" refers to a way of thinking that is slow and honest. Though it typically has a wholesome image, the beaver's name has been used as a sexual term for the human vulva .
Beavers are associated with activity and environmental engineering. If you are “as busy as a beaver,” you are getting things done. These aquatic rodents spend most of their time in the water ...
While every time the busy beaver machine "runs" it will always follow the same state-trajectory, this is not true for the "copy" machine that can be provided with variable input "parameters". The diagram "progress of the computation" shows the three-state busy beaver's "state" (instruction) progress through its computation from start to finish.
The North American beaver (Castor ... Busy beaver is a term in theoretical computer science which refers to a terminating program of a given size that produces ...
TIL ecologists once thought Beaver dam-building was an amazing feat of planning, indicative of the high intellect. This was tested when a recording of running water was played in a field near a ...
Busy beaver is an English language idiom describing of a person who is particularly busy or industrious. Busy beaver and related terms may also refer to: The Busy Beaver game, in computational theory, a type of Turing machine; Busy Beavers, an online children's educational program; The Busy Beavers, a 1931 Silly Symphonies animated film
As there is a recursive formula to define it, it is much smaller than typical busy beaver numbers, the sequence of which grows faster than any computable sequence. Though too large to ever be computed in full, the sequence of digits of Graham's number can be computed explicitly via simple algorithms; the last 13 digits are ...7262464195387.