Improve plot readability

main.tex

@@ -169,14 +169,14 @@ def charact_curves(v):
     alpha = stability.Tilt().alpha
     beta = stability.Tilt().beta
     coords_range = (beta, -4, 5), (alpha, 0, 4)
-    text_args = {"fontsize":"x-large", "clip":True}
+    text_args = {"fontsize":"xx-large", "clip":True}
     black_text_args = {"rgbcolor": "black", **text_args}
     p = (
       implicit_plot(stability.Tilt().degree(v), *coords_range )
       + line([(mu(v),0),(mu(v),5)], linestyle = "dashed")
-      + text(r"$ch_2^{\alpha, \beta}(v)=0$",[3.5, 2], rotation=45, **text_args)
-      + text(r"$ch_1^{\alpha, \beta}(v)=0$", [0.45, 1.5], rotation=90, **text_args)
-      + text(r"$ch_2^{\alpha, \beta}(v)=0$", [-2, 2], rotation=-45, **text_args)
+      + text(r"$\Theta_v^+$",[3.5, 2], rotation=45, **text_args)
+      + text(r"$V_v$", [0.43, 1.5], rotation=90, **text_args)
+      + text(r"$\Theta_v^-$", [-2.2, 2], rotation=-45, **text_args)
       + text(r"$\nu_{\alpha, \beta}(v)>0$", [-3, 1], **black_text_args)
       + text(r"$\nu_{\alpha, \beta}(v)<0$", [-1, 3], **black_text_args)
       + text(r"$\nu_{\alpha, \beta}(-v)>0$", [2, 3], **black_text_args)
@@ -327,11 +327,13 @@ def hyperbola_intersection_plot():
     + line([(2,0),(2,0)] , rgbcolor = "purple", linestyle="dotted",
         legend_label=r"pseudo-wall")
     + line([(2,0),(2,0)] , rgbcolor = "black",
-        legend_label=r"$ch_2^{\alpha,\beta}(v)=0$")
-    + line([(2,0),(2,0)] , rgbcolor = "red", legend_label=r"case 1")
-    + line([(2,0),(2,0)] , rgbcolor = "blue", legend_label=r"case 2")
-    + line([(2,0),(2,0)] , rgbcolor = "green", legend_label=r"case 3")
+        legend_label=r"$\Theta_v^-$")
+    + line([(2,0),(2,0)] , rgbcolor = "red", legend_label=r"$\Theta_u$ case 1")
+    + line([(2,0),(2,0)] , rgbcolor = "blue", legend_label=r"$\Theta_u$ case 2")
+    + line([(2,0),(2,0)] , rgbcolor = "green", legend_label=r"$\Theta_u$ case 3")
   )
+  p.set_legend_options(loc="upper right", font_size="x-large",
+    font_family="serif")
   p.xmax(coords_range[0][2])
   p.xmin(coords_range[0][1])
   p.ymax(coords_range[1][2])
@@ -360,24 +362,25 @@ def correct_hyperbola_intersection_plot():
     + line([(2,0),(2,0)] , rgbcolor = "purple", linestyle="dotted",
         legend_label=r"pseudo-wall")
     + line([(2,0),(2,0)] , rgbcolor = "black",
-        legend_label=r"$ch_2^{\alpha,\beta}(v)=0$")
+        legend_label=r"$\Theta_v^-$")
     + line([(2,0),(2,0)] , rgbcolor = "green",
-        legend_label=r"$ch_2^{\alpha,\beta}(u)=0$")
+        legend_label=r"$\Theta_u^-$")
     # vertical characteristic lines
     + line([(0,0),(0,coords_range[1][2])],
         rgbcolor="black", linestyle="dashed",
-        legend_label=r"$ch_1^{\alpha,\beta}(v)=0$")
+        legend_label=r"$V_v$")
     + line([(-delta2,0),(-delta2,coords_range[1][2])],
         rgbcolor="green", linestyle="dashed",
-        legend_label=r"$ch_1^{\alpha,\beta}(u)=0$")
-    + line([(0,0),(-coords_range[1][2],coords_range[1][2])],
-        rgbcolor="black", linestyle="dotted",
-        legend_label=r"assymptote for $ch_2^{\alpha,\beta}(v)=0$")
+        legend_label=r"$V_u$")
     + line([(-delta2,0),(-delta2-coords_range[1][2],coords_range[1][2])],
         rgbcolor="green", linestyle="dotted",
-        legend_label=r"assymptote for $ch_1^{\alpha,\beta}(u)=0$")
+        legend_label=r"$\Theta_u^-$ assymptote")
+    + line([(0,0),(-coords_range[1][2],coords_range[1][2])],
+        rgbcolor="black", linestyle="dotted",
+        legend_label=r"$\Theta_v^-$ assymptote")
   )
-  p.set_legend_options(loc="upper right")
+  p.set_legend_options(loc="upper right", font_size="x-large",
+    font_family="serif")
   p.xmax(coords_range[0][2])
   p.xmin(coords_range[0][1])
   p.ymax(coords_range[1][2])