From 68e4e0ac4e221bdee2ba2629be4cbe7c0cb8251c Mon Sep 17 00:00:00 2001 From: Freek Pols Date: Mon, 14 Oct 2024 15:56:58 +0200 Subject: [PATCH] incl fig from matplot 37 --- book/demos/demo37/demo37.ipynb | 29 +++++++++++++++++++++++++---- 1 file changed, 25 insertions(+), 4 deletions(-) diff --git a/book/demos/demo37/demo37.ipynb b/book/demos/demo37/demo37.ipynb index ef7399f..be404ad 100644 --- a/book/demos/demo37/demo37.ipynb +++ b/book/demos/demo37/demo37.ipynb @@ -68,7 +68,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": { "tags": [ "init" @@ -114,9 +114,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "plt.figure()\n", "plt.plot(V, p, '+')\n", @@ -299,7 +320,7 @@ "metadata": { "celltoolbar": "Tags", "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "base", "language": "python", "name": "python3" },