Timeline for Are there any patterns in simple continued fraction expansions of algebraic real numbers?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 31, 2014 at 6:14 | vote | accept | XL _At_Here_There | ||
| Jul 30, 2014 at 19:13 | answer | added | Gerald Edgar | timeline score: 2 | |
| Jul 30, 2014 at 15:03 | answer | added | Robert Israel | timeline score: 14 | |
| Jul 30, 2014 at 14:50 | comment | added | XL _At_Here_There | @GerryMyerson,philosophically,there does exist some law,since we know that all algebraic numbers are computable,but no law no pattern maybe imply those law and pattern are difficulty to be found.And we know there are patten even in simple continued fraction of $e$ | |
| Jul 30, 2014 at 12:56 | comment | added | Gerry Myerson | To the best of my knowledge, no pattern and no law has ever been found in the continued fraction of any algebraic number of degree exceeding 2. | |
| Jul 30, 2014 at 11:40 | comment | added | XL _At_Here_There | By the way,can we extend continued fraction expansions of real number to complex numbers?especially to $i$?By $$\sqrt{x}=1+\frac{x-1}{2+\frac{x-1}{2+\frac{x-1}{2+\ddots}}}$$ one can know that continued fraction of $i$ is not convergent | |
| Jul 30, 2014 at 9:48 | history | edited | XL _At_Here_There | CC BY-SA 3.0 |
added 66 characters in body
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| Jul 30, 2014 at 9:30 | history | asked | XL _At_Here_There | CC BY-SA 3.0 |