edit a heading under thermal wind

Author: Andrew Delman

Intro_to_PO_Tutorials/Thermal_wind.ipynb

@@ -124,7 +124,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "1d11353a",
+   "id": "8696428a",
    "metadata": {},
    "outputs": [
     {
@@ -252,7 +252,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "89b63c7d",
+   "id": "f07ce4d1",
    "metadata": {},
    "source": [
     "### Density anomalies at depth\n",
@@ -263,7 +263,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "56d67b13",
+   "id": "4b67fabe",
    "metadata": {},
    "outputs": [
     {
@@ -323,7 +323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7397d28e",
+   "id": "2ed43c21",
    "metadata": {},
    "source": [
     "and if we instead remove the global mean at each depth level:"
@@ -332,7 +332,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "81237538",
+   "id": "39ae8fe1",
    "metadata": {
     "scrolled": true
    },
@@ -372,7 +372,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c867ea3",
+   "id": "e38004d5",
    "metadata": {},
    "source": [
     "### Plotting along a line of latitude (multiple tiles)\n",
@@ -383,7 +383,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "7b028725",
+   "id": "f57f127f",
    "metadata": {},
    "outputs": [
     {
@@ -494,7 +494,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3a641c26",
+   "id": "b230253c",
    "metadata": {},
    "source": [
     "### Thermal wind balance across Atlantic (26 N)\n",
@@ -517,7 +517,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "dc9e7855",
+   "id": "13477c6c",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -536,7 +536,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "a2aed294",
+   "id": "3f85d074",
    "metadata": {
     "scrolled": true
    },
@@ -577,7 +577,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "a3bfbfd8",
+   "id": "ce503a83",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -643,7 +643,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "e3b44565",
+   "id": "0eca70ba",
    "metadata": {},
    "outputs": [
     {
@@ -713,7 +713,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d197d8b",
+   "id": "defdb51b",
    "metadata": {},
    "source": [
     "Note that the plots in the left and right columns are very similar at depths below ~100 meters, and very different in the top 100 meters. Why do you think this is?\n",
@@ -742,7 +742,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "569b9034",
+   "id": "d41eae12",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -803,7 +803,7 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "a6d80486",
+   "id": "8b014bed",
    "metadata": {},
    "outputs": [
     {
@@ -873,18 +873,18 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2db7d42c",
+   "id": "433d9dc7",
    "metadata": {},
    "source": [
-    "### Normalized RMS difference\n",
+    "### Latitude and depth dependence\n",
     "\n",
     "Now as we did with geostrophic balance in the previous tutorial, we can compute the normalized RMS difference over the global domain, sorted into bins by latitude and depth. **Note: the ```RMS_diff_norm``` function may take a few minutes to run over the global domain.**"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "4a2e63b7",
+   "id": "5a35775a",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -963,7 +963,7 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "1a3460dd",
+   "id": "5a571510",
    "metadata": {},
    "outputs": [
     {
@@ -1016,7 +1016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c4f7e3b",
+   "id": "0e2e9813",
    "metadata": {},
    "source": [
     "Comparing the geostrophy and thermal wind RMS differences provides some interesting observations. Geostrophic balance is a more accurate predictor of velocity than thermal wind, since thermal wind assumes: \n",