merge

Presentation/IceMelting_Final_Habscheid_2025.tex

@@ -457,7 +457,7 @@
     \textbf{Loss Function:}
         \begin{equation*}
             \begin{aligned}
-                \mathcal{L} &= \mathcal{L}_\text{PDE} + w_{\text{BCS}}\mathcal{L}_\text{BCS} + w_{\text{IC}}\mathcal{L}_\text{IC}
+                \mathcal{L} &= \mathcal{L}_\text{PDE} \left(+ w_{\text{BCS}}\mathcal{L}_\text{BCS} + w_{\text{IC}}\mathcal{L}_\text{IC}\right)
                 \\
                 \onslide<4->{
                     \mathcal{L}_\text{PDE} &= \frac{1}{N_{\text{PDE}}}\sum_{i=1}^{N_{\text{PDE}}} \left| \rho^* c_p^* \frac{\partial \Theta}{\partial \tau} - \frac{\partial}{\partial \xi} \left( \lambda^* \frac{\partial \Theta}{\partial \xi} \right) \right|^2
@@ -515,7 +515,7 @@
                                 \\
                             }
                             \onslide<3->{
-                                \tilde{\mathcal{L}} &= \tilde{\mathcal{L}}_{\text{PDE}} + w_{\text{BCS}}\tilde{\mathcal{L}}_{\text{BCS}}
+                                \tilde{\mathcal{L}} &= \tilde{\mathcal{L}}_{\text{PDE}} \left(+ w_{\text{BCS}}\tilde{\mathcal{L}}_{\text{BCS}}\right)
                                 \\
                             }
                             \onslide<3->{