Timeline for Structures that turn out to exhibit a symmetry even though their definition doesn't
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 18, 2014 at 11:43 | history | edited | David E Speyer | CC BY-SA 3.0 |
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| Dec 19, 2013 at 19:31 | comment | added | Gerhard Paseman | Right. I am not disagreeing with the argument or the statement. I am disagreeing with the presentation. Even if it gives the game away, I would posit "Let there be x,y,z,w satisfying the following inequalities:...", then follow up with the supposedly asymmetrical statement of the existence of an object. I agree that the proof convinces me the statement has a hidden symmetry. Gerhard "Ask Me About System Design" Paseman, 2013.12.19 | |
| Dec 19, 2013 at 8:07 | comment | added | Wolfgang | @GerhardPaseman I think the statement includes cases like yours where a triangle inequality is violated. It just says that the structure exists iff it exists for any one permutation of $x,y,z,w$. And in your case, it exists for none. :) | |
| Dec 18, 2013 at 19:44 | comment | added | Gerhard Paseman | I have problems with this when w=10x=10y=10z. You might add an inequality to show when a triangle might exist. Gerhard "Not Doubting The Equivalence, However" Paseman, 2013.12.18 | |
| Dec 18, 2013 at 18:17 | history | edited | David E Speyer | CC BY-SA 3.0 |
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| S Dec 14, 2013 at 18:12 | history | answered | Edgardo | CC BY-SA 3.0 | |
| S Dec 14, 2013 at 18:12 | history | made wiki | Post Made Community Wiki by Edgardo |