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@mehdirezaie
Last active November 17, 2023 07:42
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyPZxQVjlX/dYvv9uw0L65sD",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/mehdirezaie/6be145ebf726597feb089d7abc2bcb3d/untitled0.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"Hide x-axis tick marks and add a scale bar"
],
"metadata": {
"id": "uYqDtznyOEmL"
}
},
{
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
],
"metadata": {
"id": "LdJs9GeDE_0D"
},
"execution_count": 1,
"outputs": []
},
{
"cell_type": "code",
"source": [
"fg, ax = plt.subplots()\n",
"\n",
"x = np.arange(5, 26)\n",
"y = x*x\n",
"\n",
"ax.plot(x, y, marker='.')\n",
"\n",
"def add_scale(ax):\n",
"\n",
" xx = ax.get_xticks()\n",
" dx = xx[1]-xx[0]\n",
" y = ax.get_yticks()[2]\n",
" ax.arrow(xx[-3], y, dx, 0, )\n",
" ax.annotate(f\"{dx}\", (xx[-3]+0.25*dx, 1.2*y))\n",
" ax.set_xticklabels([])\n",
"\n",
"\n",
"add_scale(ax)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 412
},
"id": "dKpbLK44Jqvf",
"outputId": "53ba471e-13c7-4c36-8604-3562647243d5"
},
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
}
]
}
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