computations.ipynb

{
 "cells": [
  {
   "cell_type": "raw",
   "id": "b6b9aa5c-59ce-463d-acc4-212be8474b87",
   "metadata": {},
   "source": [
    "---\n",
    "title: \"Quarto Computations\"\n",
    "jupyter: python3\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c22ef656-2dde-4dfd-9f07-fc46136a6cfd",
   "metadata": {},
   "source": [
    "## NumPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "333178f2-6bbc-48d6-99f4-4e4f6ab020f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8,  9],\n",
       "       [10, 11, 12, 13, 14]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "a = np.arange(15).reshape(3, 5)\n",
    "a"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b55a4508-6810-4434-9113-1734092beeb6",
   "metadata": {},
   "source": [
    "## Matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "923faf21-dfa9-4b72-8e05-82619a5e7429",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure()\n",
    "x = np.arange(10)\n",
    "y = 2.5 * np.sin(x / 20 * np.pi)\n",
    "yerr = np.linspace(0.05, 0.2, 10)\n",
    "\n",
    "plt.errorbar(x, y + 3, yerr=yerr, label='both limits (default)')\n",
    "plt.errorbar(x, y + 2, yerr=yerr, uplims=True, label='uplims=True')\n",
    "plt.errorbar(x, y + 1, yerr=yerr, uplims=True, lolims=True,\n",
    "             label='uplims=True, lolims=True')\n",
    "\n",
    "upperlimits = [True, False] * 5\n",
    "lowerlimits = [False, True] * 5\n",
    "plt.errorbar(x, y, yerr=yerr, uplims=upperlimits, lolims=lowerlimits,\n",
    "             label='subsets of uplims and lolims')\n",
    "\n",
    "plt.legend(loc='lower right')\n",
    "plt.show(fig)"
   ]
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  {
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    "## Plotly"
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     },
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   "source": [
    "import plotly.express as px\n",
    "import plotly.io as pio\n",
    "gapminder = px.data.gapminder()\n",
    "gapminder2007 = gapminder.query(\"year == 2007\")\n",
    "fig = px.scatter(gapminder2007, \n",
    "                 x=\"gdpPercap\", y=\"lifeExp\", color=\"continent\", \n",
    "                 size=\"pop\", size_max=60,\n",
    "                 hover_name=\"country\")\n",
    "fig.show()"
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  }
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