{ "cells": [ { "cell_type": "markdown", "id": "1298942f-59ea-4eec-9482-25df4d9a3a51", "metadata": {}, "source": [ "# Notebook Demo" ] }, { "cell_type": "code", "execution_count": 5, "id": "c2ad2372-2cb9-4308-ae15-1b8bfe5b6706", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "x = np.arange(0,10,0.00001)\n", "y = x*np.sin(2*np.pi*x)\n", "plt.plot(y)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "3bcd9f8a-1c68-4269-b99a-c8fa6edd9e06", "metadata": {}, "outputs": [], "source": [ "def draw(steps):\n", " x = np.arange(0,steps,0.00001)\n", " y = x*np.sin(2*np.pi*x)\n", " plt.plot(y)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "id": "5ad67e8c-3249-4596-abbc-f2703b844fc1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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