Adjust markdown

app.py

@@ -416,7 +416,7 @@ def create_gradio_ui():
     global glob_k, glob_a, glob_b, glob_c
 
     markdown_content = r"""
-    ## Function:
+    ## Goal function:
     $$
     \begin{alignat*}{5}
     u(x, t)
@@ -427,14 +427,20 @@ def create_gradio_ui():
     $$
 
     Adjust the values for <span style='color: magenta;'>k</span>, <span style='color: cyan;'>a</span>, <span style='color: lime;'>b</span> and <span style='color: orange;'>c</span> with the sliders below.
+    
+    Pressing "Train Coefficients" aims to solve
+    $$
+    \argmin_{\alpha\in\mathbb{R}^m}\|\mathbf{\Phi\alpha-u}\|_2^2,
+    $$
+    where $\Phi$ contains the features depending on the kernel.
     """
 
     # Get the initial available files
     with gr.Blocks() as demo:
-        gr.Markdown("# Learn the Coefficients for the Heat Equation using the RFM")
+        gr.Markdown("# Approximating a solution to the heat equation using RFM")
 
         # Function parameter inputs
-        gr.Markdown(markdown_content)
+        gr.Markdown(markdown_content, latex_delimiters=[ {"left": "$$", "right": "$$", "display": True }, {"left": "$", "right": "$", "display": False }])
 
         with gr.Row():
             with gr.Column(min_width=500):