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600.103 Solutions to Homework #1

600.103 Solutions to Homework #1. Kenneth.Church@jhu.edu. Sqrt (4) . Newton’s Method. x1 > 0  2 x1 < 0  -2 x1 = 0  NaN. R & Fib. F(15)=610. Halting Problem. What does this have to do with computability? The Halting Problem demonstrates that you cannot compute everything

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600.103 Solutions to Homework #1

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  1. 600.103 Solutions to Homework #1 Kenneth.Church@jhu.edu

  2. Sqrt(4)

  3. Newton’s Method • x1 > 0  2 • x1 < 0  -2 • x1 = 0  NaN

  4. R & Fib • F(15)=610

  5. Halting Problem • What does this have to do with computability? • The Halting Problem demonstrates that you cannot compute everything • In other words, the set of all computable functions is a proper subset of the set of all functions

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