Timeline for Why are so few operations with arity bigger than 2?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 26 at 11:08 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| Feb 6, 2012 at 3:20 | comment | added | Vectornaut | Looking at my list above, it does seem that maybe 2-linear things are more common than linear things of other arities, which might be a better analogy to the original post. | |
| Feb 6, 2012 at 3:19 | comment | added | Vectornaut | I'm not convinced linear maps are more common than multilinear maps. In spite of the fact that any multilinear map can be written as a linear map by currying (en.wikipedia.org/wiki/Currying), many of the maps that arise in geometry are typically presented as multilinear. In typical presentations, derivatives, complex structures, and the Maurer-Cartan form are 1-linear, but metrics, symplectic forms, and Lie brackets are 2-linear, the Riemann curvature tensor is 3-linear, calibrations are k-linear (for any k), and volume forms are n-linear (in dimension n). | |
| Feb 5, 2012 at 23:39 | comment | added | John Pardon | @Andres: of course it is the same! | |
| Dec 14, 2010 at 22:17 | comment | added | Andrés E. Caicedo | I don't think this is the same. | |
| Dec 14, 2010 at 22:15 | history | answered | maxdev | CC BY-SA 2.5 |