What is a Turing Machine?

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There are many references to it in public discussions, but trying to learn about it from Wikipedia is like reading in a new foreign language.

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A Turing machine is a basic model of a computer that can perform any mathematical calculation by following a set of rules to manipulate symbols on the tape

Turing machines are useful because they provide a simple and fundamental model for how a computer works. They help computer scientists understand what can and cannot be computed by a machine, which is important for developing and analyzing algorithms and programming languages. By using a Turing machine, computer scientists can determine whether a given problem is computable or not, and if it is computable, how much time, space, and resources it will require for a machine to solve it

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