minor changes to math expressions

docs/io/visualization/montecarlo_packet_visualization.ipynb

@@ -93,17 +93,17 @@
     "\\\n",
     "<img src=\"attachment:packet_diagram.jpg\" style=\"width:400px\">\n",
     "\n",
-    "<br><br>The diagram above shows the packet trajectory as it starts from photosphere `P0` and continues to move along the subsequent points `P1`, `P2` and so on.\n",
+    "<br><br>The diagram above shows the packet trajectory as it starts from photosphere `P0` and continues to move along the subsequent points `P1`, `P2`, and so on.\n",
     "\n",
     "<div class=\"alert alert-info\">\n",
     "\n",
     "Note\n",
     "    \n",
-    "Here `μ` is the angle of direction of packet propagation with respect to line joining the center.\n",
+    "Here `μ` represents the direction of packet propagation with respect to the radial line.\n",
     "    \n",
     "</div>\n",
     "\n",
-    "To determine the polar coordinates of any arbitrary point, let say `P2`, we need `r2` and `θ2`. `r2` is already present in the array obtained from the simulation. To determine `θ2`, we use sine rule and apply it on triangle `OP1P2`, where `O` is the center.\n",
+    "To determine the polar coordinates of any arbitrary point, say `P2`, we need `r2` and `θ2`. `r2` is already present in the array obtained from the simulation. To determine `θ2`, we use sine rule and apply it to the triangle `OP1P2`, where `O` is the center.\n",
     "\n",
     "$$\n",
     "\\frac{r_{2}}{\\sin(\\pi - \\mu_{1})} = \\frac{r_{1}}{\\sin(\\alpha)}\n",
@@ -112,7 +112,9 @@
     "Now, writing `α` in terms of `μ1` and `θ2`\n",
     "\n",
     "$$ \n",
-    "α = μ_{1} - θ_{2} \\\\ \\\\\n",
+    "α = μ_{1} - θ_{2}\n",
+    "$$\n",
+    "$$\n",
     "\\frac{r_{2}}{\\sin(\\pi - \\mu_{1})} = \\frac{r_{1}}{\\sin(μ_{1} - θ_{2})}\n",
     "$$\n",
     "\n",
@@ -230,8 +232,8 @@
     "fig = go.Figure()\n",
     "\n",
     "# Set axes properties\n",
-    "fig.update_xaxes(range=[-1.1*v_shells[-1],1.1*v_shells[-1]],title=\"velocity (km/s)\",exponentformat=\"none\",linecolor=\"#555\",gridcolor=\"#fafafa\",zerolinecolor=\"#fafafa\")\n",
-    "fig.update_yaxes(range=[-1.1*v_shells[-1],1.1*v_shells[-1]],title=\"velocity (km/s)\",exponentformat=\"none\",linecolor=\"#555\",gridcolor=\"#fafafa\",zerolinecolor=\"#fafafa\")\n",
+    "fig.update_xaxes(range=[-1.1*v_shells[-1],1.1*v_shells[-1]],title=\"VELOCITY (KM/S)\",exponentformat=\"none\",linecolor=\"#555\",gridcolor=\"#fafafa\",zerolinecolor=\"#fafafa\")\n",
+    "fig.update_yaxes(range=[-1.1*v_shells[-1],1.1*v_shells[-1]],title=\"VELOCITY (KM/S)\",exponentformat=\"none\",linecolor=\"#555\",gridcolor=\"#fafafa\",zerolinecolor=\"#fafafa\")\n",
     "\n",
     "# adding the shells\n",
     "shell_shapes={}\n",