Timeline for Who says understanding physics helps mathematicians? (A reference request) [Take the word "who" literally.]
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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May 21 at 2:46 | comment | added | Kapil | It is interesting that the quote in the link in another answer by Jacobi indicates that he does not entirely concur. | |
May 20 at 18:18 | comment | added | Pedro Lauridsen Ribeiro | Triple cross products always do in the case of three non-collinear but linearly dependent vectors, that's the point. | |
May 20 at 16:59 | comment | added | LSpice | Re, thanks! I had figured that must be the Jacobi identity in question, but it hadn't occurred to me that the relevant triple cross products would lie back in the original plane, so I hadn't been sure how to interpret it. | |
May 20 at 16:41 | comment | added | Pedro Lauridsen Ribeiro | Unfortunately he doesn't, at least not in this reference... this specific fact refers to the Jacobi identity for the cross (vector) product in $\mathbb{R}^3$. A proper outline of this argument can be found e.g. in khudian.net/Etudes/Geometry/jacidentandheights2.pdf | |
May 20 at 14:38 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
May 20 at 13:24 | comment | added | LSpice | Does Arnol'd explain why the Jacobi identity forces this geometric consequence? | |
May 19 at 21:42 | history | answered | Pedro Lauridsen Ribeiro | CC BY-SA 4.0 |