|
:<math>\, {d V} = r d r d \theta dz</math>
:<math>\nabla^2 = \frac{1}{r}\frac{\partial}{\partial r} r \frac{\partial}{\partial r} + \frac{1}{r^2} \frac{\partial^2}{\partial \theta^2} + \frac{\partial^2}{\partial z^2}</math> ▼[[기울기 (벡터)|기울기]]
:<math>\nabla = \hat{r} \frac{\partial}{\partial r} + \hat{\theta} \frac{1}{r}\frac{\partial}{\partial \theta} + \hat{z}
\frac{\partial}{\partial z}</math>
[[발산 (벡터)|발산]]
:<math>\nabla \cdot \bold{F} = \frac{1}{r}\frac{\partial}{\partial r} r F_r + \frac{1}{r } \frac{\partial}{\partial \theta} F_\theta + \frac{\partial}{\partial z} F_z</math>
[[회전 (벡터)|회전]]
:<math>\nabla \times F = \frac{1}{r } \begin{vmatrix} \hat{r} & r\hat{\theta} & \hat{z} \\ \\
{\frac{\partial}{\partial r}} & {\frac{\partial}{\partial \theta}} & {\frac{\partial}{\partial z}} \\
\\ F_r & rF_\theta & F_z \end{vmatrix} </math>
[[라플라시안]]
▲:<math>\nabla^2 = \frac{1}{r}\frac{\partial}{\partial r} r \frac{\partial}{\partial r} + \frac{1}{r^2} \frac{\partial^2}{\partial \theta^2} + \frac{\partial^2}{\partial z^2}</math>
[[de:Polarkoordinaten#Zylinderkoordinaten]]
| 