Timeline for Algebraic and rational parts of a real number
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 8, 2021 at 19:59 | history | edited | Vincent Granville | CC BY-SA 4.0 |
See update added at the bottom
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| Feb 5, 2021 at 17:12 | history | edited | Vincent Granville | CC BY-SA 4.0 |
added 1 character in body
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| Feb 5, 2021 at 16:45 | comment | added | Vincent Granville | I'll try to fix my wording, but true, I am not a native speaker. | |
| Feb 5, 2021 at 16:43 | comment | added | Asaf Karagila♦ | Yes, but you're not reading my [previous] comment. | |
| Feb 5, 2021 at 16:43 | comment | added | Vincent Granville | @Asaf: unless I am mistaken, a set can have measure 0 yet be non countable. For instance, consider the set of all real numbers and their representation in base 2. For each real, add a 0 in the binary digits in positions 1, 3, 5, and so on. The transformed numbers are in bijection with real numbers, but none of them is a normal number. So it is an (uncountable) subset of non-normal numbers. And non-normal numbers have measure 0, so that set also has measure 0. | |
| Feb 5, 2021 at 11:13 | comment | added | Asaf Karagila♦ | Since every countable set has measure 0, saying "either X is countable, or X has measure 0" is kind of redundant (and either-or reads to me, as a non-native speaker anyway, as a dichotomy, so exactly one of the options is true). | |
| Feb 5, 2021 at 4:10 | history | became hot network question | |||
| Feb 5, 2021 at 0:08 | vote | accept | Vincent Granville | ||
| Feb 4, 2021 at 20:53 | answer | added | Wojowu | timeline score: 10 | |
| Feb 4, 2021 at 20:11 | comment | added | Vincent Granville | It would be interesting to see which real numbers $\alpha$ have $R(\alpha)=R(\pi)$, assuming $R(\pi)$ exists. | |
| Feb 4, 2021 at 20:06 | history | asked | Vincent Granville | CC BY-SA 4.0 |