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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| Aug 22, 2018 at 19:04 | comment | added | Denis Serre | This is only one instance of a much more general fact known as Onsager's reciprocity formula. This is found everywhere there is a thermodynamical formulation. | |
| Dec 14, 2013 at 13:55 | comment | added | Steven Landsburg | @user2357112 : They both have units of capital*labor/output. If output is $F(K,L)$ then profit is $F(K,L)-RK-WL$. Profit maximization implies that $\partial F/\partial K=R$ and $\partial F/\partial L=W$. Use this and the equality of the two cross partials to get the result. | |
| Dec 14, 2013 at 12:49 | comment | added | user2357112 | Maybe it's just sleep deprivation, but I don't see how that second equality works out. It doesn't look like the dimensions match; the left-hand side seems to be in dimensions of capitaltime/labor, while the right-hand side seems to be in dimensions of labortime/capital. | |
| Dec 13, 2013 at 23:09 | comment | added | Yoav Kallus | Under the same heading: equality of the mutual inductance $M_{12}$, ratio of the emf induced in coil 1 to the rate of change of current in coil 2, to $M_{21}$. | |
| Dec 13, 2013 at 21:31 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Dec 13, 2013 at 21:06 | history | edited | Steven Landsburg | CC BY-SA 3.0 |
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| Dec 13, 2013 at 20:36 | history | answered | Steven Landsburg | CC BY-SA 3.0 |