Timeline for Additive basis of a set union the square of the set
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Sep 24, 2022 at 15:38 | comment | added | JoshuaZ | @FredT S can be any set of integers, but if you have an answer for this that is for positive integers, I'd be very interested in seeing that also. | |
| Sep 24, 2022 at 15:34 | comment | added | Fred T | @JoshuaZ and does $S$ need to be positive integers, or just any integers? | |
| Sep 24, 2022 at 14:09 | comment | added | JoshuaZ | Normally, reuse is allowed. I'll add an edit to the original to make that clear. | |
| Sep 24, 2022 at 3:50 | history | edited | Fred T | CC BY-SA 4.0 |
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| Sep 24, 2022 at 3:48 | comment | added | Fred T | @GerryMyerson yes it does, thank you for pointing this out. I guess if $S$ is a finite set then it holds, but for infinite sets it certainly does not. I will add an edit to mark this in my answer. | |
| Sep 24, 2022 at 3:44 | comment | added | Gerry Myerson | I think the same objection applies to $y_i^2=y_i+\cdots+y_i$, doesn't it? | |
| Sep 24, 2022 at 3:36 | history | edited | Fred T | CC BY-SA 4.0 |
Fixed example for final case
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| Sep 24, 2022 at 3:34 | comment | added | Fred T | @GerryMyerson you are absolutely right, thank you - I will edit my answer | |
| Sep 24, 2022 at 3:30 | comment | added | Gerry Myerson | For what value of $k$ is $\{1\}$ an additive basis? | |
| Sep 24, 2022 at 3:18 | history | edited | Fred T | CC BY-SA 4.0 |
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| Sep 24, 2022 at 3:13 | history | edited | Fred T | CC BY-SA 4.0 |
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| Sep 24, 2022 at 3:01 | history | edited | Fred T | CC BY-SA 4.0 |
Added a proof
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| Sep 24, 2022 at 2:46 | history | answered | Fred T | CC BY-SA 4.0 |