Timeline for Associative mean
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 19, 2017 at 10:16 | comment | added | Goldstern | The conclusion is: If $m$ is monotone, associative, continuous and symmetric on the closed unit interval, then $m$ is already determined by the value $c:=m(0,1)$. Namely, as suggested by Yaakov Baruch, $m$ is the $\max$ function when both arguments are below $c$, $\min$ when both are above $c$, and constantly $c$ when one argument is below $c$ and one above. -- When $m$ is not symmetric, there is a similar description using the two parameters $c:=m(0,1)$ and $d:=m(1,0)$. | |
| Nov 19, 2017 at 6:35 | comment | added | მამუკა ჯიბლაძე | Could you please spell out the conclusion? For brakes like me it is VERY difficult to find out what it is. | |
| Nov 19, 2017 at 2:00 | history | answered | fedja | CC BY-SA 3.0 |