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   "source": [
    "# 1. A propos du calcul de $\\pi$"
   ]
  },
  {
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   "source": [
    "\n",
    "## 1. En demandant à la lib maths"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "Mon ordinateur m'indique que $\\pi$ vaut *approximativement*"
   ]
  },
  {
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   "execution_count": null,
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   "source": [
    "from math import *\n",
    "print(pi)"
   ]
  },
  {
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   "source": [
    "## 2. En utilisant la méthode des aiguilles de Buffon"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "Mais calculé avec la **méthode** des [aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme **approximation** :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "np.random.seed(seed=42)\n",
    "N = 10000\n",
    "x = np.random.uniform(size=N, low=0, high=1)\n",
    "theta = np.random.uniform(size=N, low=0, high=pi/2)\n",
    "2/(sum((x+np.sin(theta))>1)/N)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Caractères spéciaux : https://csrgxtu.github.io/2015/03/20/Writing-Mathematic-Fomulars-in-Markdown/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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