Nabla in verschillende assenstelsels: verschil tussen versies
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Regel 979:
=
\,</math>
::<math>
\frac{\partial A_r}{\partial
\
-\frac{\partial A_r}{\partial \theta}▼
\,</math>
::<math>
-
\sin(\phi)\cos(\theta)
+
\,</math>▼
::<math>▼
+\frac{\partial A_\theta}{\partial r}▼
\cos(\phi)\cos^2(\theta)▼
▲-\frac{\partial A_r}{\partial \theta}
▲\frac 1r\cos(\phi)\sin^2(\theta)
\frac 1r\cos(\phi)\sin(\theta)\cos(\theta)▼
▲+\frac{\partial A_\phi}{\partial \theta}
\frac 1r\sin(\phi)\sin(\theta)
\,</math>
::<math>
+
-\frac{\partial A_\theta}{\partial \theta}▼
\frac 1r\cos(\phi
+
\cos(\phi)
-
\frac 1{r}\sin(\phi)
\,</math>
▲+A_\theta
\frac 1r\cos(\phi)\sin^2(\theta)▼
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Regel 1.107 ⟶ 1.089:
\frac{\partial A_y}{\partial x}
-\frac{\partial A_x}{\partial y}
=
\,</math>
▲::<math>
\frac{\partial A_r}{\partial \phi}
\frac 1{r}
-
A_\phi
-
\frac{\partial A_\phi}{\partial r}
\sin(\theta)
-
\frac{\partial A_\phi}{\partial \theta}
+
\frac{\partial A_\theta}{\partial \phi}
▲\,</math>
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