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Intractability

/ɪnˌtræktəˈbɪlɪti/noun
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Intractability describes the quality of being extremely difficult to manage, solve, or control, often due to inherent complexity or stubborn resistance. In today's world, it's commonly applied to computational problems that demand infeasible amounts of time or resources, as well as to human behaviors that resist change despite persistent efforts.

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In computer science, the intractability of certain problems like those in the NP-complete class has inspired the Clay Mathematics Institute to offer a $1 million prize for solving the P vs NP problem, which questions whether such problems can ever be efficiently solved. This conundrum has remained unsolved for over 50 years, influencing everything from cryptography to AI development and highlighting how a single theoretical puzzle can shape modern technology.

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