Ostrowski's theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-29

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Ostrowski%27s_theorem


00:00:18 1 Definitions
00:02:22 2 Proof
00:05:32 2.1 Case I: ∃in/i &#8712; N&#160;&#160;&#160;|in/i|sub∗/sub &gt; 1
00:10:35 2.2 Case II: ∀in/i ∈ N&#160;&#160;&#160;|in/i|sub∗/sub ≤ 1
00:11:57 3 Another Ostrowski's theorem
00:14:14 4 See also
00:14:42 5 References



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SUMMARY
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In number theory, Ostrowski's theorem, due to Alexander Ostrowski (1916), states that every non-trivial absolute value on the rational numbers Q is equivalent to either the usual real absolute value or a p-adic absolute value.