{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "kl_diagrammok_minta.ipynb", "provenance": [], "collapsed_sections": [], "include_colab_link": true }, "kernelspec": { "display_name": "Python 3", "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": "3.7.4" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "Hyr-uq-pqi50", "colab_type": "text" }, "source": [ "

\n", " \n", " \n", "

\n", "\n", "\n", "

\n", "\n", "\n", "\n", "# Python alapok diagram készítés\n", "\n", "\n", "\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "eEgzGAfxe0R_" }, "source": [ "# Diagrammok" ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "CUiE6QZJerr4", "outputId": "46b9138b-ff98-4383-d215-1a1492c807de", "colab": { "base_uri": "https://localhost:8080/", "height": 350 } }, "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "\n", "mu = 100\n", "sigma = 25\n", "fig, (ax0, ax1) = plt.subplots(ncols = 2)\n", "x = mu + sigma * np.random.randn(1000)\n", "ax0.hist(x, 20, normed=1, histtype='stepfilled', facecolor='g', alpha=0.75)\n", "ax0.set_title('Stepfilled histogram')\n", "ax1.hist(x, bins=[100,150, 165, 170, 195], normed=1, histtype='bar', rwidth=0.8)\n", "ax1.set_title('uniquel bins histogram')\n", "plt.tight_layout()\t#automatically adjust subplot parameters to give specified padding\n", "plt.savefig('histogram.png')\n" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n", "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n", " alternative=\"'density'\", removal=\"3.1\")\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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CK3vaNiK6/z4KXM3apr/lkrbJeW0DPDqAx2LWcr2eQRUu9O5LamaYJ6kzIu4u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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "n9E-lkDLfad2", "outputId": "cf89bc5b-06ee-4849-b1c0-0f8e07b51528", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "x = np.linspace(-2.4, 0.4, 20)\n", "y = x * x + 2 * x + 1\n", "plt.plot(x, y, 'c', linewidth=2.0)\n", "plt.text(-1.5, 1.8, 'y=x^2 + 2*x + 1',\n", " fontsize=14, style='italic')\n", "plt.annotate('minima point', xy=(-1, 0),\n", " xytext=(-1, 0.3), horizontalalignment='center',\n", " verticalalignment='top', \n", " arrowprops=dict(arrowstyle='->', \n", " connectionstyle='arc3'))\n", " \n", "plt.savefig('annotate.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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NxrAgN1e7dyrVBZcx/GL7dgwthdgyA3xIRU9p4vcxvx02jISgID4+cIBXS0vt\nDkcpn/b8vn2sqa5mQEhIWzuZ6pomfh+TEBzMA8OHA3DDzp1UNTfbHJFSvqmssZFbd+0C4PcnnKCl\nGbpBE78PuiwlhckxMRQ3NnKnVu9UqkP/b9cuKpubmRYXx8V642O3aOL3QQ4RnszIwAE8VlTEuupq\nu0NSyqd8VlXFi8XFhIjwuDbodpsmfh81LjqaX6Wl4Qauyc3FrQ29SgEt9Xh+sX070FLefEREhM0R\n+R9N/D5sUXo6qSEhfHHwIC8WF9sdjlI+4bGiIjbW1JAeFsbCwYPtDscvaeL3YTFBQTxkNfT+v507\nKW9qsjkipexV1NDQNlb1oyecQLhW3zwmmvh93Kz+/flBv36UNze39WBQKlDduGMHh1wuZiYkcJ7e\noXvMNPH7OBHhiYwMgkV4bt8+VlVV2R2SUrb4oKKC18rKCHc4eCQjw+5w/Jomfj8wKjKSm6xhGn+R\nm0uz221zREr1rga3mwW5uQD8ZsgQhoSF2RyRf/N0BK7pIrJNRHaIyC0dzF8iIuusx3YROdBunqvd\nvOXeDD6Q3DZkCINDQ1l36BBP7d1rdzhK9arfFRSQW1fHqIiItrGq1bHrMvGLiBN4AjgbGAPMFpEx\n7ZcxxvyvMWacMWYc8Bjw93az61rnGWNmeDH2gBLpdPKo9fP29rw89jU02ByRUr0jr66Oe6yKtU9k\nZBCiA6wcN0/ewYnADmPMLmNMI/AqMPMoy88GXvFGcOpwMxISODc+noMuFzfv3Gl3OEr1iut27KDe\n7WZ2//78IC7O7nD6BE8SfxpQ0O51oTXtW0RkCJAOfNxucpiI5IjIKhG54JgjVYgIj2ZkEOZw8HJp\nKSsrK+0OSaketXz/ft4qLyfa6Wzr2qyOn7d/M80Clhlj2g8hNcQYkw38BPi9iHT46YnIfOsLIqes\nrMzLYfUdw8LDuc26aeWa3FwataFX9VG1LhfXWg26d6enkxoaanNEfYcnib8IaN+aMtCa1pFZHHGZ\nxxhTZP27C/gEGN/RisaYZ40x2caY7CQtuHRUNw8eTEZ4ON/U1rKksNDucJTqEffm55Pf0MDYyEgW\nDBhgdzh9iieJfw2QISLpIhJCS3L/Vu8cERkFxAFftJsWJyKh1vNE4DRgizcCD2ShDgePWw29i3bv\nZk99vc0RKeVd39TUsLig5QrzUyNGEKQNul7V5btpjGkGfgmsALYCrxtjNovIIhFp30tnFvCqOXzY\nqNFAjoisB1YC9xtjNPF7wZnx8fxPUhK1bjfX79hhdzhKeY0xhl/m5tJkDFekpDA5NtbukPoc8cXh\n/bKzs01OTo7dYfi8ooYGRq3N61BbAAAZYUlEQVRezSGXi39mZnJuQoLdISl13F4tKWH21q3EBwWx\nbeJEEkNC7A7JL4jIWqs9tUv6+8mPpYWGtg0396vcXOpcrqOvoJSPO9jczA1WV+X7hw3TpN9DNPH7\nuWvT0jgpMpK8+nru37PH7nCUOi537t7NvsZGJkVHc0Vqqt3h9Fma+P1csMPBk1ZD7/179pBbW2tz\nREodm3XV1TxaWIiDlgZdh46q1WM08fcBp/frx9zkZBqN4Rfbt+toXcrvNLvdXL19O25gQVoa46Oj\n7Q6pT9PE30c8OHw4CUFBfHTgAA8XFHS9glI+ZFF+Pl9WVzMgJIS709PtDqfP08TfR/QPCeHFUaMA\nuDUvjzUHD9ockVKe+aSyknvy8xHgz6NHExsUZHdIfZ4m/j7k/MREfpWWRrMxzNqyhYPNzXaHpNRR\n7W9sZM7WrRhg4eDBTNEibL1CE38f8+CwYYyNjGRXfT2/2L4dX7xPQylouVHr8m3b2NvYyHdiYtq6\nJquep4m/jwlzOnntxBOJcDj4S2kpfywpsTskpTr0eFERb5WX0y8oiL+MGaNlGXqRvtN90MiIiLZa\nPgu2b2e7dvFUPmZddTU3WTdqPTdihA6l2Ms08fdR81JSmNW/PzVuN7O2bKFByzcrH1HjcjFryxYa\njWF+aioX9+9vd0gBRxN/HyUiPD1iBOlhYXx96BC37Npld0hKAXBtbi7b6uo4MSKCJSecYHc4AUkT\nfx8WGxTEq2PGECTC7wsLebu83O6QVIB7taSEF4qLCXM4eHXMGCKcTrtDCkia+Pu4iTEx3GvdEDPv\nm2/Yq4O0K5vsqqtj/vbtACwZPpyToqJsjihwaeIPADcNGsS0uDj2NzXx061bcWkXT9XLmtxuZm/Z\nQrXLxYWJiVylI2rZShN/AHCI8MdRo+gfHMzKAwd4QKt4ql72m7w8VldXMyg0lOdHjkS0AJutPEr8\nIjJdRLaJyA4RuaWD+fNEpExE1lmPK9vNmysiudZjrjeDV55LCQ3lj6NHA3BHXh6fV1XZHJEKFB9U\nVPBAQQEO4C+jRxMfHGx3SAGvy8QvIk7gCeBsYAwwW0TGdLDoa8aYcdbjeWvdeOBOYBIwEbhTRPSe\nbJucFR/PTYMG4QJ+smULB5qa7A5J9XGljY1cunUrAHcNHcp3+/WzOSIFnp3xTwR2GGN2GWMagVeB\nmR5u/yzgA2NMhTGmEvgAmH5soSpvuDc9nezoaPIbGpivJR1UD3Ibw9xvvqGkqYnvx8aycMgQu0NS\nFk8SfxrQvs5voTXtSBeJyAYRWSYig7q5ruolIQ4Hr4weTZTTyV/Lynh+3z67Q1J91JLCQt6rqCA+\nKIg/jx6NU6/r+wxvNe6+BQw1xmTRclb/Unc3ICLzRSRHRHLKysq8FJbqyAkRETw9YgQA1+3YwZaa\nGpsjUn1NzsGD3GrdNPjiqFEM1JIMPsWTxF8EDGr3eqA1rY0xptwY09pB/HlggqfrttvGs8aYbGNM\ndlJSkiexq+MwJzmZucnJ1FklHXSgduUt1c3NzN66lSZj+FVaGjMSE+0OSR3Bk8S/BsgQkXQRCQFm\nAcvbLyAi7UdFngFstZ6vAM4UkTirUfdMa5ryAY9nZJARHs7Gmpq2gllKHa9rcnPZUVfH2MhIHhw2\nzO5wVAe6TPzGmGbgl7Qk7K3A68aYzSKySERmWItdKyKbRWQ9cC0wz1q3Aribli+PNcAia5ryAVFW\nSYdgEZ7cu5c39RKbOk5/Ki7mzyUlRFglGcK0JINPEl/s1ZGdnW1ycnLsDiNg/L6ggP/duZO4oCDW\nZ2czSK/HqmOQW1vL+Jwcatxu/jByJJenpna9kvIaEVlrjMn2ZFm9c1dx3cCBnBsfT2VzM5fo9X51\nDA42N/M/mze3lAHv35/LUlLsDkkdhSZ+hYi09LwIDeWLgwe5ZMsWmrV+v/JQg9vNhZs2sb6mhhPC\nw3l6xAgtyeDjNPErAJJCQliRlUVcUBBvlZfrzV3KIy5j+OnWrXx84ADJwcGsyMoiNijI7rBUFzTx\nqzZjIiN5OzOTcIeDF4uL2/phK9URYwy/ys1lWVkZMU4n72VlMSw83O6wlAc08avDTI6NZdmJJ+IE\nHigo4OGCgi7XUYFpUX4+T+3dS6gIyzMzGRcdbXdIykOa+NW3nJOQwIujRgFw486d/Km42OaIlK95\nqqiIu3bvxgG8MmYM39fia35FE7/q0KUpKTw0fDgAl2/bxrs6bKOy/LW0lAW5uQA8M2IEF+qd9n5H\nE7/q1A2DBvHrQYNoNoaLNm/mC63hH/A+qqzkp1u3YoB70tO5UkfS8kua+NVR3T9sGJelpFDndnPu\nxo1a0C2Ara2u5oJNm2g0hmvT0lg4eLDdIaljpIlfHZWI8OyIEZyfkEBlczNnbdjAnvp6u8NSvSy3\ntpazN2zgkMvF7P79WXLCCdpX349p4lddCrLqrnw3NpbChgbO2rCB/Y2NdoelesnehgbO3LCBsqYm\nzoyLY+moUTg06fs1TfzKIxFOJ8tPOomTIiP5praW8zZupEZLO/R5B5qamL5hA7vr65kYHc3fTjyR\nEIemDX+nn6DyWJx1Z+aQ0FC+rK7mok2baNTSDn1WncvFjE2b2FhTw8jwcN7OzCRK78rtEzTxq24Z\nEBrK+2PHkhgczIrKSi775hvcWtqhz2m2Buj5d1UVaSEhrBg7lsSQELvDUl6iiV9124iICN7NzCTK\n6eQvpaXcsGOH1vXpQ4wxXLV9O8vLy4kLCmLF2LEM0VLdfYomfnVMsmNieOPEEwkW4ZGiIu7fs8fu\nkNosX76c+++//6jL7N27l4svvriXIjr+OO67775eiKbFwrw8XiguJtzh4J+ZmZwYGdlr+1a9Qwdi\nUcfl9dJSZm3ZggGeHzmSK3TwjR4RFRXFoUOHenw/rYPyOIF/ZGZybkJCj+9TeYfXB2IRkekisk1E\ndojILR3Mv0FEtojIBhH5SESGtJvnEpF11mP5kesq//bj/v15LCMDgPnbtvFGDw7fuHv3bkaNGsW8\nefMYMWIEc+bM4cMPP+S0004jIyOD1atXA7B06VJ++ctfAjBv3jyuvfZavvOd7zBs2DCWLVvWtq2T\nTjqpbfkLLriAadOmMXToUB5//HEefvhhxo8fz6mnnkpFRctooc899xynnHIKY8eO5aKLLqK2tvZb\nMd51111ceumlTJ48mYyMDJ577jmg5fLJzTffzEknnURmZiavvfZah3H86Ec/Yvr06WRkZPDrX/8a\ngFtuuYW6ujrGjRvHnDlzeurt5c/FxfyvNfbyC6NGadLvy4wxR30ATmAnMAwIAdYDY45YZgoQYT3/\nBfBau3mHutrHkY8JEyYY5V/u2LXLsHKlca5caR4pKDBut9vr+8jLyzNOp9Ns2LDBuFwuc/LJJ5vL\nLrvMuN1u8+abb5qZM2caY4x58cUXzYIFC4wxxsydO9dcfPHFxuVymc2bN5vhw4e3bevEE09sW374\n8OHm4MGDprS01MTExJinnnrKGGPM9ddfb5YsWWKMMWb//v1tsdx2223m0Ucf/VaMd955p8nKyjK1\ntbWmrKzMDBw40BQVFZlly5aZH/7wh6a5udkUFxebQYMGmb17934rjvT0dHPgwAFTV1dnBg8ebPbs\n2WOMMSYyMtLr72crt9tt7tu928jKlYaVK83vrH0q/wLkGA9zrCdn/BOBHcaYXcaYRuBVYOYRXx4r\njTGtpz+rgIHH93Wk/M1dQ4dy2+DBuIDrduxg/vbtPdLVMz09nczMTBwOByeeeCJTp05FRMjMzGT3\n7t0drnPBBRfgcDgYM2YMJSUlHS4zZcoUoqOjSUpKIjY2lvPPPx/gsO1u2rSJ008/nczMTF5++WU2\nb97c4bZmzpxJeHg4iYmJTJkyhdWrV/Of//yH2bNn43Q6SU5O5vvf/z5r1qz51rpTp04lNjaWsLAw\nxowZQ35+fvffpG6oc7mYs3UrC/PyMMBv09O5cdCgHt2nsp8niT8NaF+UvdCa1pkrgHfbvQ4TkRwR\nWSUiF3S2kojMt5bLKevBywWqZ4gI9wwbxl9GjybM4eD5ffv44fr1lHn5Dt/Q0NC25w6Ho+21w+Gg\nubm5y3VMJ21anmx33rx5PP7442zcuJE777yT+k5KVxxZyqA7pQ3ax+F0Ojs9Jm8oamjge+vW8Upp\nKVFOJ2+edBK3DBnS9YrK73m1V4+I/BTIBha3mzzEtDQ4/AT4vYgM72hdY8yzxphsY0x2kpZ59Vuz\nk5P597hxpIWE8O+qKk5Zu5b1vdAo2Ruqq6tJTU2lqamJl19+udPl/vGPf1BfX095eTmffPIJp5xy\nCqeffjqvvfYaLpeLsrIyPv30UyZOnOjxvoODg2lqavLGYQCw+uBBTlm7lpzqatLDwvhi/HhmJiZ6\nbfvKt3mS+IuA9r/9BlrTDiMiPwRuA2YYYxpapxtjiqx/dwGfAOOPI17lB7JjYlgzYQKToqPJb2jg\ntK++6tFG395y9913M2nSJE477TRGWQPVdCQrK4spU6Zw6qmn8pvf/IYBAwZw4YUXkpWVxdixY/nB\nD37Agw8+SEpKisf7nj9/PllZWV5p3P1zcTHf+/pr9jU2cka/fqw++WROioo67u0q/9Fld04RCQK2\nA1NpSfhrgJ8YYza3W2Y8sAyYbozJbTc9Dqg1xjSISCLwBTDTGLPlaPvU7px9Q73Lxfzt2/mTdV19\n0dCh3D5kSJ+u6njXXXcRFRXFTTfdZHco3+IyhoW7dvGgNZzm1QMG8OgJJxCstXf6BK925zTGNAO/\nBFYAW4HXjTGbRWSRiMywFlsMRAF/PaLb5mggR0TWAyuB+7tK+qrvCHM6eWnUKB4cNgwB7ti9m0u2\nbNHibjY42NzMzI0bebCgACfwZEYGT40YoUk/QOkNXKpXvFNezuwtWzjocjE+Koo3TzqJwVoGoFfs\nqK1lxqZNbK2tJT4oiGUnnsiUuDi7w1Je5vUbuJQ6XuckJLDq5JMZHhbG14cOccratXyuQzn2uI8q\nK5n41Vdsra1lTEQEqydM0KSvNPGr3jM6MpLVEyYwtV8/SpuamLJuHUv37bM7rD7JGMPjhYWctX49\nlc3NnJ+QwBcnn8zw8HC7Q1M+QBO/6lXxwcG8l5XFr9LSaDSGy7Zt44YdO2j2g7r+BQUF7PODL6pG\nt5urt2/nVzt24AJuHTyYN086iRitpa8smvhVrwtyOHg0I4NnR4wgWIQlhYWct3EjB7zYT70nPP30\n0yxdutTuMI6qrLGRaevX8+y+fYQ5HLw8ejT3DRumQyWqw2jiV7b5+YABfNRuUJdJX33Ftg4Kn/kK\n89/6Uz5pg9V28mlVFQNCQvh03Dh+kpxsd1jKB2niV7Y6vV8/1px8MlmRkWyvq2PsmjX8eudOKn38\n7N+XlDU2cm1uLhPWriW/oYGJ0dGsmTCBU2Ji7A5N+ShN/Mp2Q8PD+Wz8eOYmJ9NgDIsLChj+5Zc8\nXFBAgx9c+7dLrcvFb/PzOeHLL3msqAiXMVyVmson48YxoF3NH6WOpIlf+YSooCCWjh5NzoQJTOnX\nj8rmZm7cuZNRq1fzSkmJjuvbjssYXty3jxFffsnCvDwOulycHR/P+uxsnh45knCn0+4QlY/TxK98\nyoToaD4aO5a3MzM5MSKC3fX1/GTrViZ99RWfVFbaHZ6tjDG8V17O+JwcLt+2jaLGRsZHRfHh2LG8\nk5VFptbbUR7S/l3K54gI5yQkcGZcHC+VlPCbvDxyqquZsn4958bH88Dw4QE3DuzX1dXcvHMnHx04\nAMDg0FDuGzaM2f37a48d1W16xq98VpDDwRWpqeROmsTdQ4cS5XTydkUFWWvW8PNt29jb0ND1Rvxc\nfn09l27dyslr1/LRgQP0Cwpi8bBhbJs4kTnJyZr01THRxK98XqTTye1Dh7Jz0iSuGTAAAZ7ft4+M\nL7/kjrw8qntwsBKAxsbGw2rhNzQ09OgAKQAHmpr49c6djPzyS/5cUkKICDcMHMiOSZO4afBgwvQ6\nvjoOWqRN+Z1ttbUs3LWLv+/fD0D/4GDuGjqUK1NTe6Ta5JNPPsm6detITEwkKiqKjRs3cs4553Dp\npZd6fV8NbjdPFhVxT34+FdaXy+z+/bk3PZ10LbegjqI7Rdo08Su/9VlVFTfv3MkXBw8CMCI8nFsG\nD+bs+HhSvNidsaKigoyMDH784x8TEhLCa6+9xs6dO4n0YjtDYX0971RUcP+ePeRZQzqe0a8fi4cN\nI1v74ysPdCfxa+Ou8lunxcby2fjx/H3/fm7ZtYvtdXVcvm0bAFmRkZwVH8+ZcXF8Nzb2uC6NxMfH\nc8011/DWW2/hdru58cYbjzvp17pcfHrgAO9XVvJ+RQWb292xPCYiggeHD+ec+Pg+PWiNso+e8as+\nocntZmlxMW/s388nBw5Q1+7GrzCHg+/HxnJmfDxnxcczJiKi2wm1oqKCtLQ0goKCKC4u7nbiN8aw\noaaG9ysqeL+ykn8fOEBDu7+9SIeDKXFxXJyUxJz+/QnSAVJUN3n9Uo+ITAceAZzA88aY+4+YHwr8\nEZgAlAOXGGN2W/NuBa4AXMC1xpgVXe1PE786HvUuF58fPMgKK8muO2Kw9wEhIZxp/RqYFhdHYkiI\nR9udO3cu0dHRPP744x4tX9LYyAcVFayorOSDigpK2jUQCy33LJwZF8eZ8fFMjokhRJO9Og5eTfwi\n4qRlzN1pQCEtY+7Obj+EoohcA2QZY64WkVnAhcaYS0RkDPAKMBEYAHwIjDDGHHXsPU38yptKGhv5\n0Lqk8n5lJcWNjW3zBDg5Kqrti2BMZCTHenHFAButs/oVFRWsr6k5bH6a9YVzVnw8U/v18/gLRylP\nePsa/0RghzFml7XxV4GZQPuxc2cCd1nPlwGPS8tv6ZnAq8aYBiBPRHZY2/vCk+CU8obkkBDmJCcz\nJzkZY0xbcn6/spJPDxxg7aFDrD10iN/u2ePV/YY7HJzRr1/bWf3oY7jEpFRP8CTxpwEF7V4XApM6\nW8YY0ywiVUCCNX3VEeumdbQTEZkPzAcYPHiwJ7Er1W0iQlZUFFlRUdw0eDB1Lhf/rqpq+yLY1+7X\nwLEYGBraluhPi4nR/vbKJ/lMrx5jzLPAs9ByqcfmcFSACHc6Wy7zxMfbHYpSvcaT1qQiYFC71wOt\naR0uIyJBQCwtjbyerKuUUqoXeZL41wAZIpIuIiHALGD5EcssB+Zazy8GPjYtrcbLgVkiEioi6UAG\nsNo7oSullDoWXV7qsa7Z/xJYQUt3zheMMZtFZBGQY4xZDvwB+JPVeFtBy5cD1nKv09IQ3Aws6KpH\nj1JKqZ6lN3AppVQf0J3unHrHiFJKBRhN/EopFWA08SulVIDRxK+UUgHGJxt3RaQMyG83KRHYb1M4\nPamvHhf03WPT4/I/ffXYjjyuIcaYJE9W9MnEfyQRyfG0tdqf9NXjgr57bHpc/qevHtvxHJde6lFK\nqQCjiV8ppQKMvyT+Z+0OoIf01eOCvntselz+p68e2zEfl19c41dKKeU9/nLGr5RSykt8MvGLyGIR\n+UZENojIGyLSr5PldovIRhFZJyI+X9ynG8c1XUS2icgOEbmlt+M8FiLyPyKyWUTcItJpTwM//Mw8\nPS6/+sxEJF5EPhCRXOvfuE6Wc1mf1ToRObIqr8/o6v23KgS/Zs3/UkSG9n6Ux8aDY5snImXtPqcr\nu9yoMcbnHsCZQJD1/AHggU6W2w0k2h2vN4+LlgqoO4FhQAiwHhhjd+weHNtoYCTwCZB9lOX87TPr\n8rj88TMDHgRusZ7fcpS/sUN2x+rBsXT5/gPXAE9bz2cBr9kdtxePbR7weHe265Nn/MaY940xzdbL\nVbQM4OL3PDyutjGOjTGNQOsYxz7NGLPVGLPN7ji8zcPj8sfPbCbwkvX8JeACG2M5Xp68/+2Pdxkw\nVfxjAOQe+b/lk4n/CJcD73YyzwDvi8haa8xef9LZcXU0xnGH4xT7KX/+zDrjj59ZsjFmn/W8GEju\nZLkwEckRkVUi4qtfDp68/4eNCw60jgvu6zz9v3WRdQl5mYgM6mD+YWwbc1dEPgRSOph1mzHmH9Yy\nt9EygMvLnWzmu8aYIhHpD3wgIt8YYz7tmYg946Xj8kmeHJsH/PIz80dHO672L4wxRkQ66943xPq8\nhgEfi8hGY8xOb8eqjstbwCvGmAYRuYqWXzY/ONoKtiV+Y8wPjzZfROYB5wFTjXUhq4NtFFn/lorI\nG7T8LLI1iXjhuHx2nOKujs3DbfjdZ+YBn/zMjnZcIlIiIqnGmH0ikgqUdrKN1s9rl4h8Aoyn5Zqz\nL+nOuOCFR4wL7uu6PDZjTPvjeJ6W9puj8slLPSIyHfg1MMMYU9vJMpEiEt36nJaG0029F2X3eXJc\neDbGsV/yx8/MQ/74mbUfJ3su8K1fNiISJyKh1vNE4DRahlH1NcczLriv6/LYrC/uVjOArV1u1e5W\n605asnfQcl1rnfVobY0fALxjPR9GSwv3emAzLT/LbY/9eI/Len0OsJ2WMyufPy4r5gtpuf7YAJQA\nK/rIZ9blcfnjZ0bL9e2PgFzgQyDemp4NPG89/w6w0fq8NgJX2B33UY7nW+8/sIiWkyyAMOCv1t/g\namCY3TF78dh+a/09rQdWAqO62qbeuauUUgHGJy/1KKWU6jma+JVSKsBo4ldKqQCjiV8ppQKMJn6l\nlAowmviVUirAaOJXSqkAo4lfKaUCzP8HQ/IuxpjJK0cAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "qJRlsIwgfcXS", "outputId": "db2447af-de21-41b2-fc7d-83fd4742e7ab", "colab": { "base_uri": "https://localhost:8080/", "height": 294 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "plt.plot(y)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('Plot y value without given x values')\n", "plt.axis([0, 7, 0, 10])\n", "plt.savefig('axis.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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v2M4TExYydvJy3OH8fm247oQutGtaN3Q0EUlCKoIksnT9Nv7yQQ4vT11JNTMu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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "vR8XnM6ifhmR", "outputId": "a8eef1a5-890f-454a-9ac8-9d8c817fc3fa", "colab": { "base_uri": "https://localhost:8080/", "height": 294 } }, "source": [ "X = np.arange(5)\n", "Y = 3.14 + 2.71 * np.random.rand(5)\n", "\n", "plt.subplots(2)\n", "\n", "plt.subplot(211)\n", "plt.bar(X, Y, align='center', alpha=0.4, color='y')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('bar plot in vertical')\n", "\n", "plt.subplot(212)\n", "plt.barh(X, Y, align='center', alpha=0.4, color='c')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('bar plot in horizontal')\n", "\n", "plt.savefig('bar.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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/nG64DeAfmWKn8J5IspQu7M+vqktm8ZZPA6clWZlkBfBuuvHw2bT1bOB/AX/QDwcBXfAC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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "VxDVXKW3fmaN", "outputId": "d8dd660c-4e59-44e8-81d2-4482b77f2bd3", "colab": { "base_uri": "https://localhost:8080/", "height": 294 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "plt.axis([0, 6, 0, 10])\n", "plt.plot(x, y)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('Data Visualization using Pyplot from Matplotlib')\n", "\n", "plt.savefig('better.png') " ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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oSxKRNKeuoTTzh9eW8tzctfz8m4M45TANExWRfacgSCNPzynmj/9cyg8K+nD5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\nRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "4UIfWdMGfv9-", "outputId": "d5990d72-c249-45da-a3df-00001fa18f3a", "colab": { "base_uri": "https://localhost:8080/", "height": 304 } }, "source": [ "x = np.linspace(-1, 1, 255)\n", "y = np.linspace(-2, 2, 300)\n", "\n", "z = np.sin(y[:, np.newaxis] * np.cos(x))\n", "\n", "plt.contour(x, y, z, 255, linewidth=2)\n", "plt.savefig('contour.png')" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/matplotlib/contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n", " s)\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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ZkQbH0X9ERz8ORKT9M5i+X39ZtNJjI30xv5okJf9k+qVbiTQuxzReC8XaLCEcIPZuTYyo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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "TYpD-qkvfySo", "outputId": "c6cc4e5a-c92c-4e9a-fcff-ffda0aad37e2", "colab": { "base_uri": "https://localhost:8080/", "height": 296 } }, "source": [ "data = {'Median_Age': [24.2, 26.4, 28.5, 30.3],\n", " 'Density': [244, 256, 268, 279]}\n", "\n", "index_label = ['2000', '2005', '2010', '2014'];\n", "\n", "df1 = pd.DataFrame(data, index=index_label)\n", "df1.plot(kind='bar', subplots=True, sharex=True)\n", "\n", "plt.tight_layout()\n", "plt.savefig('df.png') " ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "tlih7Ni4gIX9", "outputId": "77380683-c7b2-4c5b-f705-e97614225e02", "colab": { "base_uri": "https://localhost:8080/", "height": 294 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "plt.plot(x, y)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('Data Visualization using Pyplot from Matplotlib')\n", "plt.savefig('intro.png') " ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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ZUqAHoMCXuHrvszzumLmQ9fl7GXdib275xgBa6WJnkgRispebWW/geGBWFY9N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\nxP8DXxlY7Rxd6YwAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "r0TpQyo-gMzl", "outputId": "b412bf1e-244c-43cf-b3f3-1fe1e3a5e4e2", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "x = np.linspace(0, 1, 20);\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "y3 = np.tan(x)\n", "plt.plot(x, y1, 'c', label='y=sin(x)')\n", "plt.plot(x, y2, 'y', label='y=cos(x)')\n", "plt.plot(x, y3, 'r', label='y=tan(x)')\n", "plt.legend(loc='upper left')\n", "plt.savefig('legends.png') " ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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7iby8L9C6DLSi7SeJtH7pOAof7M/Ownz3fdJbd8ipqGBLXh6bcnLYlJvLPkeY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\nRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "aiaQJx8ygRKn", "outputId": "192ef0d4-fcf9-43b5-dce5-29c109524bba", "colab": { "base_uri": "https://localhost:8080/", "height": 294 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "plt.plot(x*2, 'g^', x*3, 'rs', x**x, 'y-')\n", "\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('Plot y value without given x values')\n", "plt.axis([0, 6, 0, 30])\n", "plt.savefig('line.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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AnzOzY4EvAb929wXAr4P7IiIj6u9vp6vrPhoaPkNBQVnY5eSctAWBu8fcfW1wuwdYDxwC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\nnlMQiIjkuf8PYREeZAj392kAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "So1Wt5O3gYrg", "outputId": "f0e1d8bf-811c-49f2-a9d5-5e623b5e1fa4", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "line, = plt.plot(y, color='red', linewidth=2.0)\n", "line.set_linestyle('--')\n", "plt.setp(line, marker='o')\n", "\n", "plt.savefig('linestyle.png') " ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "leQaAp9SgdTp", "outputId": "5fc415bf-3e83-46ae-88e9-873e7d5273ea", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "x = np.linspace(-2.4, 0.4, 20)\n", "y = x * x + 2 * x + 1\n", "plt.plot(x, y, 'c', linewidth=2.0)\n", "plt.text(-1.5, 1.8, 'y=x^2 + 2*x + 1',\n", " fontsize=14, style='italic')\n", "plt.annotate('minima point', xy=(-1, 0),\n", " xytext=(-1, 0.3), horizontalalignment='center',\n", " verticalalignment='top', \n", " arrowprops=dict(arrowstyle='->', \n", " connectionstyle='arc3'))\n", " \n", "plt.savefig('annotate.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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NxrAgN1e7dyrVBZcx/GL7dgwthdgyA3xIRU9p4vcxvx02jISgID4+cIBXS0vt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\nlAowmviVUirAaOJXSqkAo4lfKaUCzP8HQ/IuxpjJK0cAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "eVlH2vR-goKI", "outputId": "b9f28fce-8f9c-43f3-c41d-d240c4de401d", "colab": { "base_uri": "https://localhost:8080/", "height": 296 } }, "source": [ "x = np.linspace(0, 1, 20);\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "y3 = np.tan(x)\n", "\n", "p1 = plt.plot(x, y1, 'c', label='y=sin(x)')\n", "p2 = plt.plot(x, y2, 'y', label='y=cos(x)')\n", "p3 = plt.plot(x, y3, 'r', label='y=tan(x)')\n", "\n", "lsin = plt.legend(handles=p1, loc='lower right')\n", "lcos = plt.legend(handles=p2, loc='upper left')\n", "ltan = plt.legend(handles=p3, loc='upper right')\n", "\n", "fig = plt.gcf()\n", "\n", "fig.gca().add_artist(lsin)\n", "fig.gca().add_artist(lcos)\n", "\n", "plt.tight_layout()\n", "\n", "plt.savefig('morelegends.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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ZRfd2f/+EirAKD7mMgFc/hEcfBYsFli6F22+Xo6azVORw8E1eHl9UCqQyVyD1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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "IZ0xH-CSgsoV", "outputId": "fd269c85-c4f4-4cd1-aa39-410284ebbf61", "colab": { "base_uri": "https://localhost:8080/", "height": 294 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "plt.plot(y)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('Plot y value without given x values')\n", "plt.savefig('nox.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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YnJPH0g07aNKwHucN6sSIrAyyums6pUhdp8CXalVUOP9ZtYXJ2bm8sWgjJWUV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\nFPgiIkni/wNKYZYDaDYbagAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "8jEkrf-Ygx_N", "outputId": "1704e8d8-3da1-4116-83e7-4c9e0b63b808", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "s = pd.Series(np.random.normal(10, 8, 20))\n", "s.plot(style='ko-', alpha=0.4, label='Series plotting')\n", "plt.legend()\n", "\n", "plt.savefig('pandasplot.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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PpqamggpKRFs85ZxzAHy57zPGHmKMHWOMHVspV6SkBdRyCOw2mw1dXV00a1/n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\nRArsjLFLjLHTjLGTjLFjYlw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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "1Gc7KH8tg2OY", "outputId": "43900fba-e003-4d44-909b-d9c843982a79", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "s = pd.Series(np.random.normal(10, 8, 20))\n", "s.plot(style='ko-', alpha=0.4, label='Series plotting')\n", "plt.legend()\n", "\n", "plt.savefig('pandasplot.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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az0QHkkgkwBhDV1dXxWNsNhsJegPUsiyW0o5Ol7GxMRw+fBg6na7Y0/3w4cPkcmmQmrZF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\nXV1dsFqtHbvhqlZhlFIuq7jdbkSjUWS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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "2X443gTahATm", "outputId": "4f059fa2-19d8-4a16-9459-95e0ff2ec189", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "s = pd.Series(np.random.normal(10, 8, 20))\n", "s.plot(style='ko-', alpha=0.4)\n", "plt.legend(['Series plotting'])\n", "\n", "plt.savefig('series.png')\n" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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ApwAPcA/ww9hmPwR+x+xGCiFENks2sCulLB3LvqAcu1JqJbAFOAC4tNY9sbvOAy5TWiaE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\nlJWV4XQ6czKwG4uJ59KZVH5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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "1qibbIL6hEiC", "outputId": "092d7081-ef1d-4c39-cb21-ed5c61b2c10b", "colab": { "base_uri": "https://localhost:8080/", "height": 354 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "plt.figure('a')\n", "\n", "plt.subplot(221)\n", "plt.plot(y + y, 'r--')\n", "\n", "plt.subplot(222)\n", "plt.plot(y * 3, 'ko')\n", "\n", "plt.subplot(223)\n", "plt.plot(y * y, 'b^')\n", "\n", "plt.subplot(224)\n", "\n", "# alter things after the fact\n", "plt.figure('a')\n", "plt.subplot(222)\n", "plt.title('Visualization of y * 3')\n", "\n", "plt.savefig('subplot.png')" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/matplotlib/figure.py:98: MatplotlibDeprecationWarning: \n", "Adding an axes using the same arguments as a previous axes currently reuses the earlier instance. In a future version, a new instance will always be created and returned. Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n", " \"Adding an axes using the same arguments as a previous axes \"\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "evY696MfhJGI", "outputId": "da77bd21-ce0e-4075-fda7-4aaf62fe6027", "colab": { "base_uri": "https://localhost:8080/", "height": 302 } }, "source": [ "x = np.linspace(0, 3, 6)\n", "y = np.power(x, 2)\n", "\n", "# another figure\n", "plt.figure('b')\n", "ax1 = plt.axes([0.05, 0.1, 0.4, 0.32])\n", "ax2 = plt.axes([0.52, 0.1, 0.4, 0.32])\n", "ax3 = plt.axes([0.05, 0.53, 0.87, 0.44])\n", "\n", "plt.savefig('subs.png') " ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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mGVaSpOYNFFZJdid5OMlsktsW2f6JJA90P99P8ou+bb/u2za9msVLrbFXpNEY5MsXNwGH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\nJKl5/x8/BZ0U66FQDQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "Zb4jz3l_hSd-", "outputId": "b9c9db59-937d-4a69-8dad-74027f37efd5", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "s = pd.Series(np.random.normal(10, 8, 20))\n", "s.plot(style='ko-', alpha=0.4, label='Series plotting')\n", "plt.legend()\n", "\n", "plt.savefig('pandasplot.png')" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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PGHSNv7ZmFEybi0zcFp4V+d1GCeRt27aZ+mnQzEwdq3LwDUqpvGvqnDhxgkAg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\nEvCFECXNyNQJh8NSMC1PEvCFECUtvYh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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "_s00E33GlMdM", "outputId": "ca1c6e2d-cd19-4d0f-cea6-3da169a73b16", "colab": { "base_uri": "https://localhost:8080/", "height": 520 } }, "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import cm\n", "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "fig = plt.figure(figsize=(12,9))\n", "ax = fig.gca(projection='3d')\n", "X = np.arange(-4, 4, 0.25)\n", "Y = np.arange(-4, 4, 0.25)\n", "X, Y = np.meshgrid(X, Y)\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(R)\n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "\n", "ax.set_zlim(-1.01, 1.01)\n", "ax.zaxis.set_major_locator(LinearLocator(10))\n", "ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", "\n", "fig.colorbar(surf, shrink=0.6, aspect=6)\n", "\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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YGxsznCdqBLsdTzvQKjyTySROnSoXR6zbAWESrvL56lCg3uil7iDheYxQcznz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\nfB7379/H7u4uhoeHLWtDIq5mV8rtrMRxEp0MKxviG602176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rk1w/PTpW1nVM8R459Oxo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OayCGYXD+/HmoVCocO3YMwcHBwpa8s8Zk8qqrq9HQ0IDk5GR4e3sL28/8BSUAQuDy9/d3etut\nmpoa1NXVQSqVunQrWqfTCS2sdDodgoODER4ejq6uLpvWp9VqsWLFCshkMqxfv57amJHBhF6sHoqC\nJxnUPC145uXlYeHChX1WwjiOQ2VlJZRKJVQqFZqamjBv3jzIZDLMmDHDYSMR+aMAnZ2dFueGd3d3\nC4FLq9UKgSskJMSh28Mcx+HGjRvo6OgYULspR+CnSlVUVKCjo0MYbRoWFmaxItvS0oJly5Zh9erV\nWL16NYVOMtjQC9ZDUfAkboumoAxce3s7jh07BoVCgR9++AHJyclIT0/HggULEBwcbJfn4Ec4ent7\n29TOiWVZtLa2Cj1DfXx8hGqoPbfATeeaT5061e22ovnQ3tXVhYSEBHR1dQnnZY1Go9kWVnV1dVi6\ndCk2btyIZ5991sWfASH9QsHTQ1HwJIMaBU/xGIbBDz/8AIVCgaNHj8Lf31/Ykp84cWK/KmZ99ejs\nD9Mb4QzDDOhGOI9lWZSWlsLX17ffn6Mj8aNVJRKJ2bnrRqNRuKC0bds2aLVazJ49G9nZ2cjKykJa\nWppT1rlhwwYolUqMGDECEydOxBdffGG3X1yIx3KvL0biNBQ8yaBGwbN/OI5DVVUVVCoVVCoVamtr\nMXfuXMjlcsycOVPU+UKxPTr7w2AwCD1D+RvhfM9QsccFjEYjioqKEBERgTFjxth1ffbAh2I/Pz9M\nmDDBaihmGAb79u3DJ598IlRC5XI5fvWrXyE+Pt6hofrIkSOYP38+hg8fjo0bNwIAtm3b5rDnIx6B\ngqeHouBJBiWagmJfGo0Gx44dg0qlwj//+U8kJCRAJpMhNTVVuMRkqj89OvuL4zhhjKdarYa3t3eP\nG+Hm2Dpi0tkYhhEqxWIb/xcUFODVV1/F119/DalUivr6ehw6dAh5eXmIj4/Hli1bHLzqOw4cOID9\n+/fjv//7v53yfGTIouDpoSh4EmJFfn4+3njjDTAMg7Vr1+Ktt95y9ZIcimVZ/PTTT1AoFDhy5Ah8\nfHwgk8kgk8kQFxeH48eP4+uvv8bHH3/sknGMOp1OuCXPT8ziz0B6eXmhs7MTxcXFTgnF/WEwGFBY\nWIiYmBhER0eLep8zZ87grbfewr59+zB58mQHr9CyJ598EkuXLsXKlStd6KP69AAADRtJREFUug4y\n6FHw9FAUPAmxgGEYxMXF4ejRo4iNjcX06dPx7bffIj4+3tVLcwqO43Dr1i1hS/7KlStgWRbvvvsu\nlixZ4vK+nAzDCFvybW1tGDlyJDQaDRITE90ydOr1ehQWFmLChAmip00dPHgQH3zwAXJzcxETE+Ow\ntYm5zLd161b8+OOP+O6779zuvCwZdOgF5KEc01uFkCHi4sWLmDRpEiZMmAAAWLZsGXJzcz0meEok\nEsTGxuK3v/0tOI6DRqPBK6+8gtOnT+M//uM/MHXqVMhkMqSlpWH06NFODyPDhg1DeHg4wsPDoVar\nceXKFURGRuL69euoqKjoMcbT1UHJ1kosx3HIzs7Gnj17kJ+fj7CwMIeu79ixYxb/fu/evVCpVDh+\n/LjL/y0JIYMXBU9CLLh161aPiymxsbG4cOGCC1fkGu+88w5++eUXHD58GCNHjsQLL7wAlmVRWFgI\nhUKB559/HsOHD0daWhpkMpnT2xbV19fj5s2bePjhh4Uep3q9Hmq1WugvyvfHDAkJcXpLJY1Gg5KS\nEiQkJIiaLMVxHHbv3g2FQoH8/HyXHGkwlZ+fjw8//BCnT5/u81wtIYSIQVvthFiwf/9+5OfnY/fu\n3QCAr776ChcuXMAnn3zi4pU517FjxzB//vw+AxvHcairqxO25G/cuIE5c+YgPT0ds2fPFjX6sb/4\naUlSqbTPG+98k/ampia0tLRg1KhRQjXUkWsDgNbWVly5ckX0XHiWZZGVlYWff/4Z2dnZThvracmk\nSZOE87QAMHPmTOzatcvFqyKDHJXNPRQFT0IsOH/+PDZv3izcmM/MzAQAvP32265cltvT6XQ4ceIE\nFAoFzp07h8mTJwvV0LCwMLts1XIch4qKCmi1WovTksy9X2dnp3BBiWVZIYQGBATYdRtZrVbjl19+\nET0XnmVZvPPOO1Cr1fj8889dOtaTEAej4OmhKHgSYoHRaBRucsfExGD69On45ptvkJCQ4OqlDRos\ny6K4uBhKpRKHDh2CRCJBamoq5HI54uPj+7XtzXEcysrKIJFIMHXq1AGFRYPBIIzx1Gg0CAoKEnqG\nDmS0Jr/9n5KSIuoSltFoxBtvvAE/Pz9s377drcZ6EuIAFDw9FAVPQqw4ePAg1q1bB4ZhsGbNGmza\ntMnVSxq0OI5DQ0MDVCoV8vLycO3aNTz66KNIT0/HY489JqoqyDAMSktLERAQgPvvv9+uFUqWZYWe\noc3NzRgxYoRQDR01apToj1NTU4P6+nqL2/+m9Ho91q5di4SEBGzevNntxnoS4gAUPD0UBU9CiMvo\n9XqcOnUKCoUC33//Pe6//37I5XKkpaUhIiLinlBpMBhQXFyMyMhIxMbGOnx9XV1dwpa8wWAwOze9\ntxs3bqCtrQ1JSUmiqpYajQYrV66ETCbD+vXr6cY48RT0QvdQFDwJcUNr1qyBSqVCREQESktLXb0c\np2BZFpcuXYJSqcTBgwfBMIywJZ+YmIjq6mqsW7cOO3futPuITjGMRqPQM7S9vR0BAQHClry3tzc4\njsO1a9dgMBgwbdo0UVXLlpYWLFu2DKtXr8bq1aspdBJPQi92D0XBkxA3dObMGfj7+2PVqlUeEzxN\ncRyHpqYm5OXlIS8vD0VFRdDpdHj55Zfx2muv2bTt7aj1tbe3C2M8vby8wDAM/Pz8kJCQICpA1tXV\nYenSpXjrrbfwzDPPOGHVhLgVCp4eioInIW6qsrISixcv9sjgaeqnn37CmjVr8Nprr+HSpUs4ffo0\nxowZA7lcDplMhqioKJdWCvl+pnyFU6fTCT1Dg4ODzVY+b968iRdeeAHbtm1Damqqs5dMiDug4Omh\nqIE8IcRtHTt2DBs3bkROTg7uv/9+AHdvtCsUCqxevRp6vR6LFi2CXC6HVCp16sUco9GIoqIiRERE\nCIMGGIZBS0sLGhoaUF5eDj8/PxiNRkRFRSE6OhplZWVYvXo1/vrXv2LWrFlOWWdGRgZyc3Ph5eWF\niIgI7N27V/SceEIIsSeqeBLipqjiCZw6dQoJCQl9zjXnOA5qtRqHDh2CUqnE5cuXMWPGDMhkMsyb\nN8+hU3a6u7tRVFSEMWPG9HnmlOM4aLVa5Obm4uOPPwbDMNBoNPjP//xPPP30006r1La3twsTk3bs\n2IHLly9TA3jialTx9FAUPAlxUxQ8bWcwGPD9999DqVTi5MmTuO+++yCXyyGXyxEdHW23oKfT6VBU\nVISJEyeKnqF+5swZZGRk4LnnnkNBQQHKysowZ84cPPnkk5DJZHZZlxiZmZmoqqrCzp07nfachJhB\nwdND0VY7IWTI8Pb2xvz58zF//nxwHIfy8nIolUq88sor0Gg0WLBgAdLT0/HAAw/0u0G7VqtFSUkJ\npk6diuDgYFHvc/DgQWzbtg05OTmIiYkBcCcknzt3DgUFBU4Jnps2bcKXX36JoKAgnDx50uHPRwgh\n5lDFkxA3tHz5cpw6dQpNTU2IjIzEli1b8NJLL7l6WYNac3Mz8vPzoVKpUFRUhOnTp0Mmk2H+/Pnw\n9/cX9TE6OjpQWlqKxMREBAQEWH08x3HIzs7Gnj17kJubK7o62h8LFy5EXV3dPW/funUrlixZIvw5\nMzMTOp0OW7ZscdhaCBGBKp4eioInIcTjGI1GnD17FiqVCidOnEB4eDhkMhnS09MRGxtrdku+paUF\n5eXlSE5OFnV2lOM4fPbZZ1CpVDhw4ICooOoMVVVVSE9PpyMcxNUoeHooCp6EEEF1dTVWrVqF+vp6\nSCQSvPLKK3jjjTdcvSyH4jgOv/zyC5RKJfLy8tDe3o558+ZBLpfj4YcfxrBhw5CdnY3bt2/j1Vdf\nFTXWk2VZZGVlobCwEH//+99FvY8jXbt2DZMnTwYAfPzxxzh9+jT279/v0jURj0fB00NR8CSECGpr\na1FbW4sHH3wQHR0deOihh5CTk4P4+HhXL81pWltbcfjwYahUKhQUFCAmJgY1NTX4xz/+gQkTJlh9\nf5Zl8c4770CtVuPzzz+Ht7e3E1Zt2TPPPIPy8nJ4eXlh3Lhx2LVrl3DWlBAXoeDpoSh4EkL6tGTJ\nEvzud7/DokWLXL0Ul9i+fTu++eYbzJkzB6dPn0ZISAjS0tKQnp6OcePG3bMlbzQa8fvf/x4BAQH4\ny1/+0u8LTIR4AAqeHoputRNCzKqsrMTPP/+MGTNmuHopTsdxHN577z1cunQJZ86cwciRI8FxHCoq\nKqBSqbBu3Tqo1WrMmzcPMpkMjzzyCBiGwUsvvYSkpCS8++67Tm1kTwghgwVVPAkh99BoNHjiiSew\nadMmPP30065ejtN1dXVh+/bt2LBhQ59Vy/b2dmFL/ocffkBHRwfWr1+P9evXu3SEJyGDBH2ReCgK\nnoSQHgwGAxYvXoy0tDS8+eabrl7OoMAwDI4dO4bU1FQKnYSIQ18oHoqCJyFEwHEcfv3rX2P06NH4\ny1/+4urlEEKGLgqeHoqCJyFEcPbsWTz22GNISkoSzii+//77SE9Pd/HKCCFDDAVPD0XBkxBCCCHO\nRsHTQ9G1S0IIIYQQ4hQUPAkhLqfT6fDII49AKpUiISEB7777rquX5JY++ugjSCQSNDU1uXophBDS\nL9THkxDiciNHjsSJEyfg7+8Pg8GAOXPmQC6XY+bMma5emtuorq7GkSNHMHbsWFcvhRBC+o0qnoQQ\nl5NIJPD39wd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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "T_f87FWUlpoW", "outputId": "2101e4aa-8689-4a80-9fe9-6cfc7b70281f", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "# create n values of x from 0 to 2*pi \n", "x = np.linspace(0, 8*np.pi, 100)\n", "y = np.sin(x/2)\n", "\n", "#interpolate new y-values \n", "yinterp = np.interp(x, x, y)\n", "\n", "#plot x,y values using circle marker (line style)\n", "plt.plot(x, y, 'o') \n", "\n", "#plot interpolated curve using dash x marker\n", "plt.plot(x, yinterp, '-x') \n", "plt.show() \n", "\n" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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B31tjbLXIvc6nAbjU9CSHWiSctqeCWU+Xk2qTbSth/67gIJwk2Mq3Mb7xrFHt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\ndh9Jw/l30m343WzKvSDa0WiOA1vkcLN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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "F209u_sdlwS_", "outputId": "dc11dcc6-00c4-42c2-863f-52f1fcc28a62", "colab": { "base_uri": "https://localhost:8080/", "height": 268 } }, "source": [ "import numpy as np \n", "import matplotlib.pyplot as plt \n", "from matplotlib import animation \n", "\n", "# Set up the figure, axis, and the plot element to be animated \n", "fig = plt.figure() \n", "ax = plt.axes(xlim=(0, 3.2), ylim=(-2.14, 2.14)) \n", "line, = ax.plot([], [], lw=2)\n", "\n", "# initialization function: plot the background of each frame\n", "def init():\n", " line.set_data([], [])\n", " return line,\n", "\n", "# animation function. This is called sequentially\n", "def animate(i):\n", " x = np.linspace(0, 2, 1000)\n", " xval = 2 * np.pi * (x - 0.01 * i)\n", " y = np.cos(xval) # Here we are trying to animate cos function\n", " line.set_data(x, y)\n", " return line,\n", "\n", "anim = animation.FuncAnimation(fig, animate, init_func=init,\\\n", " frames=200, interval=20, blit=True)\n", "anim.save('basic_animation.mp4', fps=30)\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "pJebmRPUn8fV", "outputId": "e505a331-627d-49aa-8c74-e62f41b8b4e6", "colab": { "base_uri": "https://localhost:8080/", "height": 761 } }, "source": [ "from numpy.random import standard_normal\n", "from numpy import zeros, sqrt\n", "import matplotlib.pyplot as plt\n", "\n", "S_init = 20.222\n", "T =1\n", "tstep =0.0002\n", "sigma = 0.4\n", "mu = 1\n", "NumSimulation=6\n", "\n", "colors = [ (214,27,31), (148,103,189), (229,109,0), (41,127,214), \n", "(227,119,194),(44,160,44),(227,119,194), (72,17,121), (196,156,148)] \n", "\n", "# Scale the RGB values to the [0, 1] range. \n", "\n", "for i in range(len(colors)): \n", " r, g, b = colors[i] \n", " colors[i] = (r / 255., g / 255., b / 255.) \n", " \n", "plt.figure(figsize=(12,12))\n", "\n", "Steps=round(T/tstep); #Steps in years\n", "S = zeros([NumSimulation, Steps], dtype=float)\n", "x = range(0, int(Steps), 1)\n", "\n", "for j in range(0, NumSimulation, 1):\n", "\n", " S[j,0]= S_init\n", " for i in x[:-1]:\n", " S[j,i+1]=S[j,i]+S[j,i]*(mu-0.5*pow(sigma,2))*tstep+ \\\n", " sigma*S[j,i]*sqrt(tstep)*standard_normal()\n", " plt.plot(x, S[j], linewidth=2., color=colors[j])\n", "\n", "plt.title('%d Simulation using %d Steps, \\n$\\sigma$=%.6f $\\mu$=%.6f $S_0$=%.6f ' % (int(NumSimulation), int(Steps), sigma, mu, S_init), \n", " fontsize=18)\n", "plt.xlabel('steps', fontsize=16)\n", "plt.grid(True)\n", "plt.ylabel('stock price', fontsize=16)\n", "plt.ylim(0,90)\n", "\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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AADEgsAYAAABiQGANAAAAxIDAGgAAAIgBgTUAAAAQAwJrAAAAIAYE1gAAAEAM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+X24v09N3xMmVlId3hOmEy836nQ75k2U8jbeUTwnJ17doUktG7uCPWJVW1CweETvPEeg3uDlItB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\nViECawCQUq4FsLa8t6MMyjUVhe4a7ud7A/f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"\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mylim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0.6\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mres\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'r'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlinewidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhold\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 11\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'b'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlinewidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhold\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAttributeError\u001b[0m: module 'matplotlib.pyplot' has no attribute 'hold'" ] }, { "output_type": "display_data", "data": { "image/png": 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PCeQdw4CIC/OsgJIqpljNlDTQzAaYWWtJZ0uaXPgAMxtY8OFJkhbHFxEAxQqx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\nraucoVihaebPl0aOlO68U2rfXrr7br8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