math121b:ex4
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math121b:ex4 [2020/02/12 07:47] pzhou created |
math121b:ex4 [2026/02/21 14:41] (current) |
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| $$ d Vol_g = H_u H_v H_z du dv dz = (u^2+v^2) du dv dz$$ | $$ d Vol_g = H_u H_v H_z du dv dz = (u^2+v^2) du dv dz$$ | ||
| Or, we can use | Or, we can use | ||
| - | $$ d Vol_g = \sqrt{\det g} du dv dz = \sqrt{(u^2+v^2) (u^2+v^2) } dudvdz = du dv dz.$$ | + | $$ d Vol_g = \sqrt{\det g} du dv dz = \sqrt{(u^2+v^2) (u^2+v^2) } dudvdz = (u^2+v^2) |
math121b/ex4.1581493674.txt.gz · Last modified: 2026/02/21 14:45 (external edit)
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