Timeline for Nonlinear Operators(with the group property?)
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 13, 2013 at 2:09 | vote | accept | Yog_Shohoth | ||
| Jun 4, 2013 at 21:21 | comment | added | Boris Novikov | @Yog_Shohoth: Yes, of course. | |
| Jun 4, 2013 at 20:43 | comment | added | Yog_Shohoth | An example of a nonlinear transformation on a finitely generated vector space that does not have the group property under addition or multiplication is the mapping $T_{\alpha}(\hat{v}) = [x^{2}y-\alpha^{2}, 2\alpha xy] \;$ where $\alpha$ is a nonzero scalar and (x,y) are the respective components of a vector in a 2-dimensional vector space. | |
| Jun 4, 2013 at 20:31 | comment | added | Yog_Shohoth | Just for clarification: Is Hom(V,V) the set of linear maps from V to V? | |
| Jun 4, 2013 at 13:39 | history | edited | Boris Novikov | CC BY-SA 3.0 |
added 17 characters in body
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| Jun 4, 2013 at 7:33 | history | answered | Boris Novikov | CC BY-SA 3.0 |