.

app.py

@@ -15,7 +15,7 @@ with gr.Blocks() as demo:
     gr.Markdown(description)
     with gr.Row():
         with gr.Column(scale=2):
-            textbox = gr.Textbox(label=r'Type LaTeX formula below and click "Generate"', lines=1, max_lines=1, placeholder='Type LaTeX formula here and click "Generate"', value=r'\frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}')
+            textbox = gr.Textbox(label=r'Type LaTeX formula below and click "Generate"', lines=1, max_lines=1, placeholder='Type LaTeX formula here and click "Generate"', value=r'\sum_{t=1}^T\E_{y_t \sim {\tilde P(y_t| y_0)}} \left\| \frac{y_t - \sqrt{\bar{\alpha}_t}y_0}{\sqrt{1-\bar{\alpha}_t}} - \epsilon_\theta(y_t, t)\right\|^2.')
             submit_btn = gr.Button("Generate", elem_id="btn")
         with gr.Column(scale=3):
             slider = gr.Slider(0, 1000, value=0, label='step (out of 1000)')