Small cleanups.

Author: bluescarni

doc/notebooks/map_inversion.ipynb

@@ -708,6 +708,7 @@
     "$$\n",
     "\n",
     "Then the inverse is a map of the form\n",
+    "\n",
     "$$\n",
     "\\mathcal M^{-1}(\\delta x_0, \\delta y_0, \\delta v_{x_0}, \\delta v_{y_0}, \\delta e_0, \\delta e_f)=\\begin{bmatrix}\n",
     "    \\delta x_0 \\\\\n",
@@ -950,13 +951,13 @@
    "source": [
     "Eureka!!! The polynomial map built is able to predict accurately the state of the dynamical system at the event trigger condition .... without actually performing the nonlinear numerical integration.\n",
     "\n",
-    "That's all folks!."
+    "That's all folks!"
    ]
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "test",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
@@ -970,7 +971,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.10"
+   "version": "3.12.4"
   }
  },
  "nbformat": 4,

doc/notebooks/thermoNETs.ipynb

@@ -194,7 +194,7 @@
    "id": "ecabf3b9",
    "metadata": {},
    "source": [
-    "Lets visualise the trends, as expected the mean absolute percentage difference between the two neural models is quite high, as it should be since the models themselves are quite different!"
+    "Let us visualise the trends, as expected the mean absolute percentage difference between the two neural models is quite high, as it should be since the models themselves are quite different!"
    ]
   },
   {
@@ -254,7 +254,7 @@
     "\\end{array}\n",
     "$$\n",
     "\n",
-    "where we have considered an atmosphere rigidly rotating with the Earth (i.e. no winds accounted for).\n",
+    "where we have considered an atmosphere rigidly rotating with the Earth (i.e., no winds accounted for).\n",
     "\n",
     "We also assume to have the initial conditions given at the calendar date 22nd of June 2009, at 06:32:12:00 GMT."
    ]
@@ -595,7 +595,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.13"
+   "version": "3.12.4"
   }
  },
  "nbformat": 4,