Timeline for Mean value of a function associated with continued fractions
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| May 11, 2016 at 14:18 | vote | accept | Clark Kimberling | ||
| Jan 14, 2016 at 8:26 | answer | added | Alexey Ustinov | timeline score: 4 | |
| Jan 12, 2016 at 20:30 | comment | added | Clark Kimberling | Think of $d(x)$ as the deviance of x from its continued fraction, maximized by the golden ratio, with maximal value approximately $1.195955786017513596003474800021$. (One can also define upper and lower deviances, which are also maximized by the golden ratio.) I raised the question about the "mean deviance" because of the possibility that it doesn't exist; viz., is $d$ Lebesgue integrable? | |
| Jan 5, 2016 at 11:41 | comment | added | Alexey Ustinov | Are there any reasons to study this constant? | |
| Jan 5, 2016 at 6:04 | comment | added | Alexey Ustinov | The function $d(x)$ is continuous at any irrational $x$. So it is sufficient to know $d(x)$ for rational $x$. | |
| Jan 4, 2016 at 14:50 | history | edited | Clark Kimberling | CC BY-SA 3.0 |
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| Jan 4, 2016 at 14:42 | history | asked | Clark Kimberling | CC BY-SA 3.0 |