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Merge pull request #7 from abdrysdale/patch-1

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Fixed a type-o
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Nils Thuerey
2021-10-08 09:42:31 +02:00
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overview-equations.md
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@@ -69,7 +69,7 @@ The following section will give a brief outlook for the model equations
we'll be using later on in the DL examples. we'll be using later on in the DL examples.
We typically target continuous PDEs denoted by $\mathcal P^*$ We typically target continuous PDEs denoted by $\mathcal P^*$
whose solution is of interest in a spatial domain $\Omega \subset \mathbb{R}^d$ in $d \in {1,2,3} $ dimensions. whose solution is of interest in a spatial domain $\Omega \subset \mathbb{R}^d$ in $d \in {1,2,3} $ dimensions.
In addition, wo often consider a time evolution for a finite time interval $t \in \mathbb{R}^{+}$. In addition, we often consider a time evolution for a finite time interval $t \in \mathbb{R}^{+}$.
The corresponding fields are either d-dimensional vector fields, for instance $\mathbf{u}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}^d$, The corresponding fields are either d-dimensional vector fields, for instance $\mathbf{u}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}^d$,
or scalar $\mathbf{p}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}$. or scalar $\mathbf{p}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}$.
The components of a vector are typically denoted by $x,y,z$ subscripts, i.e., The components of a vector are typically denoted by $x,y,z$ subscripts, i.e.,