diff --git a/lecture_1.ipynb b/lecture_1.ipynb
index 8a7b5cbe9f40b27c6a08008ff8a444e194d76690..6d08f99445dddd2f4f6c930f4c991c2ca82a984c 100644
--- a/lecture_1.ipynb
+++ b/lecture_1.ipynb
@@ -54,7 +54,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37cae6fd",
+   "id": "f9a9306c",
    "metadata": {
     "slideshow": {
      "slide_type": "slide"
@@ -198,7 +198,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0ba7c3f0",
+   "id": "6dcfe3e6",
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
@@ -244,7 +244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dcc75692",
+   "id": "fa1054a6",
    "metadata": {
     "slideshow": {
      "slide_type": "slide"
@@ -288,7 +288,7 @@
   {
    "cell_type": "code",
    "execution_count": 33,
-   "id": "e30c1224",
+   "id": "765d2de4",
    "metadata": {
     "cell_style": "split"
    },
@@ -395,7 +395,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f0e1262",
+   "id": "694119ec",
    "metadata": {
     "slideshow": {
      "slide_type": "slide"
@@ -432,7 +432,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "2ea96198",
+   "id": "05e7e4b9",
    "metadata": {},
    "outputs": [],
    "source": []
@@ -508,7 +508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "539b2083",
+   "id": "b776b008",
    "metadata": {
     "slideshow": {
      "slide_type": "slide"
@@ -527,7 +527,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27a53f23",
+   "id": "d39a9f7b",
    "metadata": {
     "slideshow": {
      "slide_type": "slide"
@@ -540,7 +540,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "ef09b3b5",
+   "id": "2f063c17",
    "metadata": {
     "slideshow": {
      "slide_type": "-"
@@ -552,7 +552,7 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "de7df23f",
+   "id": "f09b7bc1",
    "metadata": {
     "slideshow": {
      "slide_type": "fragment"
@@ -575,7 +575,7 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "1edc9156",
+   "id": "2c8e6805",
    "metadata": {},
    "outputs": [
     {
@@ -638,7 +638,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f087bd39",
+   "id": "8e1a7f44",
    "metadata": {
     "cell_style": "split"
    },
@@ -648,7 +648,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f86b608",
+   "id": "66c8b422",
    "metadata": {
     "cell_style": "split"
    },
@@ -1272,11 +1272,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.20"
+   "version": "3.10.2"
   },
-  "rise": {
+  "livereveal": {
    "autolaunch": true,
-   "overlay": "<div class='myfooter'><h2 style='text-align:center;'>Hartmut Stadie - University of Hamburg</h2></div>"
+   "overlay": "<div class='myfooter'><h2 style='text-align:center;'>Hartmut Stadie - University of Hamburg</h2></div>",
+   "scroll": true
   },
   "toc": {
    "base_numbering": 1