Update app.py

app.py

@@ -106,9 +106,10 @@ def compute_low_y_curve(betas, z_a, y):
        sqrt_term = np.where(sqrt_term < 0, np.nan, np.sqrt(sqrt_term))
        
        term = (-1 + sqrt_term)/z_a
-       numerator = (y - 2)*term + y * betas * ((z_a - 1)/z_a) - 1/z_a - 1
-       denominator = term**2 + term
-       
+       numerator = 4* z_a * y * beta * (z_a-1) -6 * z_a * (1-y) - 12 * a**2  
+       denominator = (1+2*z_a)3
+      # numerator = (y - 2)*term + y * betas * ((z_a - 1)/z_a) - 1/z_a - 1
+       #denominator = term**2 + term
        # Handle division by zero and invalid values
        mask = (denominator != 0) & ~np.isnan(denominator) & ~np.isnan(numerator)
        return np.where(mask, numerator/denominator, np.nan)