sol code

notation.md

@@ -8,10 +8,11 @@
 | $A$ | matrix |
 | $\eta$ | learning rate or step size |
 | $\Gamma$ | boundary of computational domain $\Omega$ |
-| $f()$ | approximated version of $f^{*}$ |
 | $f^{*}()$ | generic function to be approximated, typically  unknown |
+| $f()$ | approximate version of $f^{*}$ |
 | $\Omega$ | computational domain |
-| $\mathcal P$ | physical model, PDE |
+| $\mathcal P^*$ | continuous/ideal physical model |
+| $\mathcal P$ | discretized physical model, PDE |
 | $\theta$ | neural network params |
 | $t$ | time dimension |
 | $\mathbf{u}$ | vector-valued velocity |