Fixing math formatting for github

Author: sadie-niblett

notebooks/00_getting_started.ipynb

@@ -131,7 +131,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "id": "f1548006",
    "metadata": {
     "execution": {
@@ -141,7 +141,15 @@
      "shell.execute_reply": "2026-02-10T23:04:29.351597Z"
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "✓ .NET runtime loaded successfully\n"
+     ]
+    }
+   ],
    "source": [
     "import pythonnet\n",
     "\n",
@@ -168,7 +176,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "id": "65dc539a",
    "metadata": {
     "execution": {
@@ -178,7 +186,15 @@
      "shell.execute_reply": "2026-02-10T23:04:29.884975Z"
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "✓ Loaded Numerics from: C:\\GIT\\Numerics\\Numerics\\bin\\Debug\\net8.0\\Numerics.dll\n"
+     ]
+    }
+   ],
    "source": [
     "import clr \n",
     "from pathlib import Path \n",
@@ -209,7 +225,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "id": "b3a59cb5",
    "metadata": {
     "execution": {
@@ -219,7 +235,15 @@
      "shell.execute_reply": "2026-02-10T23:04:30.373706Z"
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "✓ Numerics namespaces imported successfully\n"
+     ]
+    }
+   ],
    "source": [
     "# Import the most commonly used namespaces\n",
     "from Numerics.Distributions import Normal\n",
@@ -240,7 +264,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 4,
    "id": "f6b4f2fd",
    "metadata": {
     "execution": {
@@ -250,7 +274,22 @@
      "shell.execute_reply": "2026-02-10T23:04:30.386939Z"
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Mean: 100.0\n",
+      "Standard Deviation: 15.0\n",
+      "Variance: 225.0\n",
+      "Skewness: 0.0\n",
+      "Kurtosis: 3.0\n",
+      "\n",
+      "Small Sanity Check\n",
+      "0.5 ~= 0.5 ✓\n"
+     ]
+    }
+   ],
    "source": [
     "# Create a Normal Distribution with mean=100, sd=15\n",
     "dist = Normal(100,15)\n",
@@ -277,7 +316,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
    "id": "d51dfbec",
    "metadata": {
     "execution": {
@@ -287,7 +326,17 @@
      "shell.execute_reply": "2026-02-10T23:04:30.395271Z"
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Python list: [10.5, 20.3, 15.7, 18.9, 22.1]\n",
+      ".NET array length: 5\n",
+      "Converted back: [10.5, 20.3, 15.7, 18.9, 22.1]\n"
+     ]
+    }
+   ],
    "source": [
     "# Python list to .NET Array[Double]\n",
     "python_data = [10.5, 20.3, 15.7, 18.9, 22.1]\n",
@@ -315,7 +364,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 6,
    "id": "3c61d5ad",
    "metadata": {
     "execution": {
@@ -325,7 +374,15 @@
      "shell.execute_reply": "2026-02-10T23:04:30.735936Z"
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "✓ Log-likelihood function defined\n"
+     ]
+    }
+   ],
    "source": [
     "# Example data for log-likelihood\n",
     "data = Array[Double]([12.0, 15.5, 14.2, 16.8, 13.9])\n",
@@ -351,7 +408,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 7,
    "id": "b2c575cc",
    "metadata": {
     "execution": {
@@ -361,7 +418,16 @@
      "shell.execute_reply": "2026-02-10T23:04:30.752184Z"
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "✓ Loaded Test_Numerics from: C:\\GIT\\Numerics\\Test_Numerics\\bin\\Debug\\net8.0\\Test_Numerics.dll\n",
+      "✓ f(x) = x^3 defined\n"
+     ]
+    }
+   ],
    "source": [
     "# MODIFY this path to point to your Test_Numerics.dll\n",
     "test_dll_path = Path(r\"C:\\GIT\\Numerics\\Test_Numerics\\bin\\Debug\\net8.0\\Test_Numerics.dll\")\n",