Timeline for Non-real constants
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| May 15, 2010 at 16:09 | vote | accept | Roy Maclean | ||
| May 15, 2010 at 16:09 | |||||
| May 15, 2010 at 16:03 | vote | accept | Roy Maclean | ||
| May 15, 2010 at 16:09 | |||||
| May 15, 2010 at 15:49 | history | made wiki | Post Made Community Wiki by Kim Morrison | ||
| May 15, 2010 at 15:02 | history | edited | teil | CC BY-SA 2.5 |
deleted 80 characters in body
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| May 15, 2010 at 14:43 | comment | added | Pete L. Clark |
Every element of $\mathbb{Q}_p$ has a unique representation as a convergent series $\sum_{n = N_0}^{\infty} a_n p^n$ with $a_n \in \{0,\ldots,p-1\}$, yes. But this series is convergent in the $p$-adic topology. If $x$ is not in $\mathbb{Q}$, as a real series the terms do not tend to zero, so of course the series diverges. Maybe this is what you were getting at?
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| May 15, 2010 at 14:04 | comment | added | teil | I thought p-adics were Laurent series in p, so that you could evaluate the series as a real number and identify them that way. | |
| May 15, 2010 at 13:56 | comment | added | Pete L. Clark | "The only p-adic numbers which aren't real are infinite." The $p$-adics and the real numbers do not naturally live inside any common field, so I don't know what it means for a $p$-adic number to be real. | |
| May 15, 2010 at 13:18 | history | answered | teil | CC BY-SA 2.5 |