Timeline for Relaxed Collatz 3x+1 conjecture
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| S Sep 28, 2022 at 12:32 | history | suggested | mathworker21 | CC BY-SA 4.0 |
fixed typos and added warning at beginning of answer so reader won't read the whole thing before realizing it doesn't work.
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| Sep 28, 2022 at 5:11 | review | Suggested edits | |||
| S Sep 28, 2022 at 12:32 | |||||
| Sep 25, 2022 at 23:59 | comment | added | François G. Dorais | After reading this, I realized that "relaxation" is not a reliable method to simplify Collatz-like problems. For example, if Collatz is restated using $x \mapsto (3x + 1)/2$ and $x \mapsto x/2$ then the "relaxed" version is exactly the same as the original. This is because neither map can send a non-integer dyadic rational to an integer. Using $x \mapsto 3x + 1$ and $x \mapsto x/2$ gives some more wiggle room so "relaxation" might actually help but there can't be a general reason why "relaxation" would help, it has to be specific to this combination of affine maps. | |
| Sep 25, 2022 at 19:53 | history | edited | Terry Tao | CC BY-SA 4.0 |
edited body
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| Sep 25, 2022 at 19:42 | history | edited | Terry Tao | CC BY-SA 4.0 |
added 1016 characters in body
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| Sep 25, 2022 at 16:56 | history | edited | Terry Tao | CC BY-SA 4.0 |
added 576 characters in body
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| Sep 25, 2022 at 16:31 | history | edited | Terry Tao | CC BY-SA 4.0 |
added 335 characters in body
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| Sep 25, 2022 at 16:10 | history | edited | Terry Tao | CC BY-SA 4.0 |
added 96 characters in body
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| Sep 25, 2022 at 16:08 | comment | added | LSpice | I found "since one can get from any power of two to one" a bit jarring at first, and edited it to "since one can get from any power of $2$ to $1$" (to emphasise that the ‘one’s are different, and that the second ‘one’ means the number $1$, not one other power of two). I figured it was not too objectionable, since you likewise used numerals in place of words in the following Claim. I hope this was all right. | |
| Sep 25, 2022 at 16:07 | history | edited | LSpice | CC BY-SA 4.0 |
Link to previous approach; typo; numerals in place of words
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| Sep 25, 2022 at 16:01 | history | answered | Terry Tao | CC BY-SA 4.0 |