Rename files and fix remaining errors with headlines

sources/01c Coverage analysis.ipynb

@@ -404,6 +404,13 @@
     "products[products['title'].str.startswith('S2A')]['orbitnumber'].unique()"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Compared to the area numbers of the S2B satellite:"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 15,
@@ -434,11 +441,11 @@
     "What is the minimum time span in those four weeks to ensure a coverage of all of Brandenburg?\n",
     "To find out we iterate through the returned products, for each iteration $i$ unifying the associated product's geometry $P_i$ with all products we already iterated through:\n",
     "\n",
-    "\\begin{align}\n",
-    "P &= \\{P_1, P_2, \\cdots, P_n\\} \\\\\n",
-    "U_1 &= \\{\\} \\\\\n",
-    "U_{n+1} &= U_{n} \\cup P_n\n",
-    "\\end{align}\n",
+    "$$\n",
+    "P = \\{P_1, P_2, \\cdots, P_n\\} \\\\\n",
+    "U_1 = \\{\\} \\\\\n",
+    "U_{n+1} = U_{n} \\cup P_n\n",
+    "$$\n",
     "\n",
     "Given the shape of Brandenburg $B$ the condition for termination is when $B$ is contained entirely in the unified shape $U_n$:\n",
     "\n",