From 56aa72aef7e6176afcfd69a4b2e028d11e2afc98 Mon Sep 17 00:00:00 2001
From: Luke Naylor <l.naylor@sms.ed.ac.uk>
Date: Thu, 27 Jul 2023 17:02:11 +0100
Subject: [PATCH] Section and annotate characteristic curves notebook better

---
 characteristic_curves.ipynb | 62 +++++++++++++++++++++++++------------
 1 file changed, 43 insertions(+), 19 deletions(-)

diff --git a/characteristic_curves.ipynb b/characteristic_curves.ipynb
index 990b233..3a1d357 100644
--- a/characteristic_curves.ipynb
+++ b/characteristic_curves.ipynb
@@ -179,8 +179,46 @@
     "    p.ymax(coords_range[1][2])\n",
     "    p.ymin(coords_range[1][1])\n",
     "    p.axes_labels([r\"$\\beta$\", r\"$\\alpha$\"])\n",
-    "    return p\n",
-    "\n",
+    "    return p"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e5968de3",
+   "metadata": {},
+   "source": [
+    "Considering the 3 different ways that $\\Theta_u$ could intersect $\\Theta_v^-$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "ff33752c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "Graphics object consisting of 14 graphics primitives"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "hyperbola_intersection_plot()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "0a940381",
+   "metadata": {},
+   "outputs": [],
+   "source": [
     "def correct_hyperbola_intersection_plot():\n",
     "    var(\"alpha beta\", domain=\"real\")\n",
     "    coords_range = (beta, -2.5, 0.5), (alpha, 0, 3)\n",
@@ -230,25 +268,11 @@
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": 6,
-   "id": "ff33752c",
+   "cell_type": "markdown",
+   "id": "fcf66820",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "Graphics object consisting of 14 graphics primitives"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
    "source": [
-    "hyperbola_intersection_plot()"
+    "Full picture of characteristic curves, assymptotes, pseudo-walls for the scenario described in main problem (object $u$ destabilizing $v$ going down $\\Theta_v^-$ before reaching some point $P$)"
    ]
   },
   {
-- 
GitLab