Timeline for What is the definition of Curl in Mathematica?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Mar 7, 2019 at 13:36 | history | edited | J. M.'s missing motivation | CC BY-SA 4.0 | added 4 characters in body |
| Feb 14, 2019 at 17:29 | comment | added | Silvia | +1 Crystal clear! For readers seeking more math, here is a related question on math.SE. | |
| Feb 13, 2019 at 10:59 | vote | accept | Hosein Rahnama | ||
| S Feb 13, 2019 at 10:41 | history | suggested | Hosein Rahnama | CC BY-SA 4.0 | Improved Formatting |
| Feb 13, 2019 at 10:35 | comment | added | Thies Heidecke | @H.R. You're welcome! :) | |
| Feb 13, 2019 at 10:33 | comment | added | Hosein Rahnama | @ThiesHeidecke: I am really grateful for your help. :) Many thanks. | |
| Feb 13, 2019 at 10:31 | comment | added | Thies Heidecke | @H.R. The HodgeDual or Hodge star operator gives you the complementary subspace that 'completes' the vector space. There is a nice introduction to it (and exterior calculus in general) in Keenan Cranes book Discrete Differential Geometry: An Applied Introduction in chapter four. | |
| Feb 13, 2019 at 10:24 | review | Suggested edits | |||
| S Feb 13, 2019 at 10:41 | |||||
| Feb 13, 2019 at 10:02 | comment | added | Hosein Rahnama | Well, I think that I need to read some math! :D I am not familiar with exterior algebra and cross of many vectors. Do you have any simple reference in mind? :) | |
| Feb 13, 2019 at 9:59 | comment | added | jose | HodgeDual is an algebraic operation. It does not contain derivatives. Note for example that Cross of d-1 vectors in dimension d is the HodgeDual of the tensor product of those vectors, modulo a factor (d-1)! due to antisymmetrization. Roughly speaking, HodgeDual takes some directions in space and gives you the orthogonal directions. It's just that rather than giving you lists of vectors, it gives you antisymmetric tensors, the forms of exterior algebra in vector spaces. | |
| Feb 13, 2019 at 9:46 | comment | added | Hosein Rahnama | (+1) Thank you very much jose. :) Can you also elaborate on what HodgeDual does? :) | |
| Feb 13, 2019 at 9:39 | history | answered | jose | CC BY-SA 4.0 |