The rational numbers with the dyadic valuation appear strange at first sight. For example, they fail the
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Question:
The rational numbers with the dyadic valuation appear strange at first sight. For example, they fail the axiom of Archimedes that if a positive quantity is added to itself a sufficient number of times, its value becomes bigger than any specified value.
Exercise 9.17. If n is an integer, then Inl2 S 1.
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