Skip to content

Instantly share code, notes, and snippets.

@Simon-L
Created March 14, 2025 22:23
Show Gist options
  • Select an option

  • Save Simon-L/82d7dc0ef25a786101361a871af4b67a to your computer and use it in GitHub Desktop.

Select an option

Save Simon-L/82d7dc0ef25a786101361a871af4b67a to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc80be98b30>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "5de2d7fc493642d2b0d4bedb6835e1ed",
"version_major": 2,
"version_minor": 0
},
"image/png": "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",
"text/html": [
"\n",
" <div style=\"display: inline-block;\">\n",
" <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
" Figure\n",
" </div>\n",
" <img src='data:image/png;base64,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' width=640.0/>\n",
" </div>\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib widget\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.set_yscale('log')\n",
"\n",
"ax.plot([0, 1], [273, 473], label='LL')\n",
"ax.plot([1, 2], [280, 2800], label='LH')\n",
"ax.plot([2, 3], [2100, 3900], label='HL')\n",
"ax.plot([3, 4], [800, 21000], label='HH')\n",
"ax.plot([0, 1, 1, 2, 2, 3, 3, 4], [273, 473, 280, 2800, 2100, 3900, 800, 21000], ':', label='curve')\n",
"ax.legend()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment