Goodstein Sequence: Difference between revisions
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n = 29, write 31 = 16 + 8 + 4 + 1. Now we write each exponent as a sum of powers of n, so as 2^4 + 2^3 + 2^1 + 2^0. |
n = 29, write 31 = 16 + 8 + 4 + 1. Now we write each exponent as a sum of powers of n, so as 2^4 + 2^3 + 2^1 + 2^0. |
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Continue by re-writing all of the current term's exponents that are still > |
Continue by re-writing all of the current term's exponents that are still > b as a sum of terms that are less than b, using a sum of powers of b: so, |
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n = 16 + 8 + 4 + 1 = 2^4 + 2^3 + 2 + 1 = 2^(2^2) + 2^(2 + 1) + 2 + 1. |
n = 16 + 8 + 4 + 1 = 2^4 + 2^3 + 2 + 1 = 2^(2^2) + 2^(2 + 1) + 2 + 1. |
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