diff --git a/Presentation/IceMelting_Final_Habscheid_2025.pdf b/Presentation/IceMelting_Final_Habscheid_2025.pdf index 17c80d387995122573ead24822243e911e62cecc..00c997afa9cc27bd142066cb4dccb3132ba47ac5 100644 Binary files a/Presentation/IceMelting_Final_Habscheid_2025.pdf and b/Presentation/IceMelting_Final_Habscheid_2025.pdf differ diff --git a/Presentation/IceMelting_Final_Habscheid_2025.tex b/Presentation/IceMelting_Final_Habscheid_2025.tex index 795d1ecede3dc78959735c9ccb688a6f03599bb0..2e35eeb92d35f6a200df799b89c0cf1e329220c3 100644 --- a/Presentation/IceMelting_Final_Habscheid_2025.tex +++ b/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->{