diff --git a/tests/notebooks/LangevinStiefel.ipynb b/tests/notebooks/LangevinStiefel.ipynb
index fd64c7b..c08bc98 100644
--- a/tests/notebooks/LangevinStiefel.ipynb
+++ b/tests/notebooks/LangevinStiefel.ipynb
@@ -4,7 +4,7 @@
   "metadata": {
     "colab": {
       "provenance": [],
-      "authorship_tag": "ABX9TyPmXvXiPZZ3MBv1sL7ITipf",
+      "authorship_tag": "ABX9TyMYatUD2qxBuBrnsHWIYudA",
       "include_colab_link": true
     },
     "kernelspec": {
@@ -43,7 +43,7 @@
         "The Langevin process is a solution of the equation\n",
         "$$dX_t = (\\frac{1}{2}rgrad_{\\log V}(X_t) + \\mu_B(X_t))dt +\\sigmam(X_t) dW_t\n",
         "$$\n",
-        "where $V$ is a smooth function positive function on $M$ and\n",
+        "where $V$ is a smooth positive function on $M$ and\n",
         "$$dB_t = \\mu_B(B_t)dt +\\sigmam(B_t) dW_t\n",
         "$$\n",
         "is the Riemannian Brownian motion of a metric $\\sfg$. With smoothness and curvature conditions, this process converges to a distribution on the manifold with density relative to the Riemannian measure proportional to $V$.\n",
@@ -66,7 +66,7 @@
         "id": "IsEk89QmSlLj",
         "outputId": "234c2dbd-4a27-406f-f49d-897c05a44a52"
       },
-      "execution_count": 1,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "stream",
@@ -111,7 +111,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 2,
+      "execution_count": null,
       "metadata": {
         "id": "FVjba8YeD9n8"
       },
@@ -344,7 +344,7 @@
         "id": "5wUdQp2tSpdj",
         "outputId": "9420b6eb-6e07-49b1-de94-f26c1a6be3ec"
       },
-      "execution_count": 3,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "stream",
@@ -420,7 +420,7 @@
         "id": "bjDB4QxZ7Trn",
         "outputId": "9cd0d4e7-b951-4d29-a290-1e3eb4aa5722"
       },
-      "execution_count": 4,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "stream",
@@ -580,7 +580,7 @@
         "id": "3FaJdgmyS1Tr",
         "outputId": "3e04a36b-b0df-4945-d80f-81db26b0f81f"
       },
-      "execution_count": 5,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "stream",
@@ -714,7 +714,7 @@
         "id": "23eloFGjS6hj",
         "outputId": "62778763-e6d0-4e0b-c3db-51583709bfe1"
       },
-      "execution_count": 6,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "stream",