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2. Busy beaver - Wikipedia

   en.wikipedia.org/wiki/Busy_beaver

   An n-th busy beaver, BB-n or simply "busy beaver" is a Turing machine that wins the n-state busy beaver game. [5] Depending on definition, it either attains the highest score, or runs for the longest time, among all other possible n -state competing Turing machines.

3. Collatz conjecture - Wikipedia

   en.wikipedia.org/wiki/Collatz_conjecture

   [36] [37] The connection is made through the Busy Beaver function, where BB(n) is the maximum number of steps taken by any n state Turing machine that halts. There is a 15 state Turing machine that halts if and only if a conjecture by Paul Erdős (closely related to the Collatz conjecture) is false. Hence if BB(15) was known, and this machine ...

4. Turing machine - Wikipedia

   en.wikipedia.org/wiki/Turing_machine

   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.

5. Mathematical logic - Wikipedia

   en.wikipedia.org/wiki/Mathematical_logic

   The busy beaver problem, developed by Tibor Radó in 1962, is another well-known example. Hilbert's tenth problem asked for an algorithm to determine whether a multivariate polynomial equation with integer coefficients has a solution in the integers. Partial progress was made by Julia Robinson, Martin Davis and Hilary Putnam.

6. Philly teacher uses Eagles player Saquon Barkley's stats to ...

   www.aol.com/philly-teacher-uses-eagles-player...

   A second grade teacher in Philadelphia is using football to help her students score big in math. Amber Kiley is running touchdowns in the classroom at MaST Community Charter School II with a ...

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