Timeline for Odd partition with extra properties
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 30, 2022 at 2:00 | comment | added | Aaron Meyerowitz | A very nice proof, and thus true also for reals (I think). But what if we just say two sets of integers with equal sum and do not require that they be the same size? | |
| Mar 29, 2022 at 22:19 | comment | added | Gerry Myerson | 1973 Putnam exam, question B-1: Let $a_1,a_2,\dots,a_{2n+1}$ be a set of integers such that, if any one of them is removed, the remaining ones can be divided into two sets of $n$ integers with equal sums. Prove $a_1=a_2=\cdots=a_{2n+1}$. | |
| Mar 28, 2022 at 14:18 | comment | added | Peter Taylor | @Qise, nothing I can see in my answer proves that there are solutions with irrational $a_i$. | |
| Mar 28, 2022 at 12:33 | comment | added | Qise | That's simpler that I expected. It's interesting to notice that it all because the $a_i$ are rationals. | |
| Mar 28, 2022 at 12:32 | vote | accept | Qise | ||
| Mar 28, 2022 at 11:15 | history | answered | Peter Taylor | CC BY-SA 4.0 |