Acceptance by Non-Deterministic Turing Machines

What distinguishes non-deterministic algorithms from deterministic ones?
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Which of the following problems is known to be in NP?
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What is the significance of Turing machines in the context of regular expressions (regex)?
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In theoretical computer science, 'P' refers to the class of problems that:
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What is the primary focus of the 'P vs NP' problem?
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