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| un:vector-field [2024/10/11 05:09] – [3. Carl] asad | un:vector-field [2024/10/11 08:44] (current) – asad | ||
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| In the image above, the divergence of the vector field (arrow) $e^{-(x^2+y^2)}(1-2x^2)$ mentioned in the first section is shown in color. | In the image above, the divergence of the vector field (arrow) $e^{-(x^2+y^2)}(1-2x^2)$ mentioned in the first section is shown in color. | ||
| - | ===== - Carl ===== | + | ===== - Curl ===== |
| Curl refers to the circulation of a vector field, i.e. how much circular motion there is in that field. Anywhere in the two-dimensional field, if the vectors below a circular area have less magnitude than the vectors above, a clockwise rotation will occur, and the curl will be negative in this case. Curl is positive if the rotation is counterclockwise. The mathematical form of the curl is: | Curl refers to the circulation of a vector field, i.e. how much circular motion there is in that field. Anywhere in the two-dimensional field, if the vectors below a circular area have less magnitude than the vectors above, a clockwise rotation will occur, and the curl will be negative in this case. Curl is positive if the rotation is counterclockwise. The mathematical form of the curl is: | ||
un/vector-field.1728644963.txt.gz · Last modified: 2024/10/11 05:09 by asad