From bbd0c4f40c1898fb86b967f7bdd6040b03ae4978 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?xavier=20dupr=C3=A9?= Date: Tue, 23 May 2017 02:09:14 +0200 Subject: [PATCH] blog post, correction d'exercices --- _doc/notebooks/README.txt | 7 + _doc/notebooks/decouverte/README.txt | 11 + _doc/notebooks/examen/README.txt | 13 + _doc/notebooks/exemples/README.txt | 4 + _doc/notebooks/exercices/README.txt | 4 + _doc/notebooks/exercices/data/hexa.png | Bin 0 -> 10614 bytes .../exercices/pyramide_bigarree.ipynb | 534 ++++++++++++++++++ _doc/notebooks/internet/README.txt | 5 + .../source/blog/2017/2017-05-23-seance5.rst | 22 + _doc/sphinxdoc/source/i_examens.rst | 15 +- _doc/sphinxdoc/source/i_exercices.rst | 16 + _doc/sphinxdoc/source/index.rst | 5 +- 12 files changed, 630 insertions(+), 6 deletions(-) create mode 100644 _doc/notebooks/README.txt create mode 100644 _doc/notebooks/decouverte/README.txt create mode 100644 _doc/notebooks/examen/README.txt create mode 100644 _doc/notebooks/exemples/README.txt create mode 100644 _doc/notebooks/exercices/README.txt create mode 100644 _doc/notebooks/exercices/data/hexa.png create mode 100644 _doc/notebooks/exercices/pyramide_bigarree.ipynb create mode 100644 _doc/notebooks/internet/README.txt create mode 100644 _doc/sphinxdoc/source/blog/2017/2017-05-23-seance5.rst create mode 100644 _doc/sphinxdoc/source/i_exercices.rst diff --git a/_doc/notebooks/README.txt b/_doc/notebooks/README.txt new file mode 100644 index 0000000..928fed6 --- /dev/null +++ b/_doc/notebooks/README.txt @@ -0,0 +1,7 @@ +Galleries +========= + +.. contents:: + :local: + :depth: 1 + diff --git a/_doc/notebooks/decouverte/README.txt b/_doc/notebooks/decouverte/README.txt new file mode 100644 index 0000000..e332f1c --- /dev/null +++ b/_doc/notebooks/decouverte/README.txt @@ -0,0 +1,11 @@ +Découvertes ++++++++++++ + +Quelques notebooks autour de modules très utiles. + + + + + + + diff --git a/_doc/notebooks/examen/README.txt b/_doc/notebooks/examen/README.txt new file mode 100644 index 0000000..c73427d --- /dev/null +++ b/_doc/notebooks/examen/README.txt @@ -0,0 +1,13 @@ +Examens ++++++++ + +Solutions des exercices servant à l'évaluation de +ce cursus. + + + + + + + + diff --git a/_doc/notebooks/exemples/README.txt b/_doc/notebooks/exemples/README.txt new file mode 100644 index 0000000..33ad7e6 --- /dev/null +++ b/_doc/notebooks/exemples/README.txt @@ -0,0 +1,4 @@ +Exemples +++++++++ + +Quelques astuces récurrentes. diff --git a/_doc/notebooks/exercices/README.txt b/_doc/notebooks/exercices/README.txt new file mode 100644 index 0000000..f04b0fd --- /dev/null +++ b/_doc/notebooks/exercices/README.txt @@ -0,0 +1,4 @@ +Exercices ++++++++++ + +Exerices pour pratiquer. \ No newline at end of file diff --git a/_doc/notebooks/exercices/data/hexa.png b/_doc/notebooks/exercices/data/hexa.png new file mode 100644 index 0000000000000000000000000000000000000000..6d74af97472d73066d1e20acde002ea6501bf70b GIT binary 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z*n~y@P(ywLBBxXREg``D7bTz!Rn0g4FfwcX56%AHSoO`e{6DOEh5q|-m#p9ag?}%4 zJN}1V8rA}I(m3A-NUj~Ayss;3uG@T$dGR-=e`CuCxA%eB%>>}dq4@y6KJRHkk$G^z zZ)qd~r2mbtz5x>S7m*d;e>A7UBcrT*hr2Q)C+lCFQT5_9MrfoFnxd1VAm;_}~0EE6=Tf&iTG zO1-W6z#vzxvu=g5Q}Pe0ZRr!yfz&Im6&X;jFT7*aMnvhy zOtLN=iJD7;mj{}*Nr?6${wI>%2!e2A+)o+McSMl1f#bUdosB3@hoiEk_`Cd@fYPO5 zG4t?V7c3tU58ZMrW<%ufjZhQTvBhF0m+!eZpvMK-?gNnR91hhFMdPR;hkCIk1rU6K zL#vJ>|B@&|DHB)S9HzRs?BH^5G0`sm;>14&xGBhv7Vot-tGjg{qfYVRnZuQHngF=S zc5&XvhX)~qUW$r}nlmLKS==ID_FQJVnDtnrun previous cell, wait for 2 seconds\n", + "" + ], + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from jyquickhelper import add_notebook_menu\n", + "add_notebook_menu()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Probl\u00e8me\n", + "\n", + "Il s'agit de dessiner la pyramide suivante \u00e0 l'aide de [matplotlib](https://matplotlib.org/)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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sMmkm7C9ca+D61+lcKny1BlhHLIpYhTaBQBJdb/BtgiCKjNejFIk00umrZ/PI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1mgYMPtZ1SwCVh1VrkzXDgxNXTfulDH9fv+vMRK/ofElMuWZXbemPnwxsJ/76v6oYly\nuIZb4Q7zwwdm8T1mcXsz43wrOWqh2ReZ5R05do42RfVuotwMtj3XTNhk7ppq7p5qznnPSo5a6Lzx\n5t6Z5t5ZZtQ6s7MB686a1gIFG24nXsGmZDWwwAJrPgtYDSywlmEBq4EF1jIsYDWwwFqCGfP/A7be\nJvN5416QAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import Image\n", + "Image(\"http://lesenfantscodaient.fr/_images/biodiversite_tri2.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Id\u00e9e de la solution\n", + "\n", + "On s\u00e9pare le probl\u00e8me en deux plus petits : \n", + "\n", + "* Trouver la position des boules dans un rep\u00e8re cart\u00e9sien.\n", + "* Choisir la bonne couleur.\n", + "\n", + "Le rep\u00e8re est hexagonal. L'image suivante est tir\u00e9e de la page wikip\u00e9dia [empilement compact](https://fr.wikipedia.org/wiki/Empilement_compact)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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A6Q2XA9fXa94YhPQPhBtZ3A/F2t7fM5R7Xk6GJjXeKLYIYTVX2VenOBd7ZQzl\nB82UKFcM2jFeaoguYtgZDpci6+s1b/RF+geC4otCTNZqtagN9W1paclGGkc3QBBWM7pJpffVKY47\nNsNwa9Aa+e/99y2KAyJ1EUHB9fWaN/oi/SLgHijKZLi3VeEYml0bXGDWJQ1hNaOzRBZ8Ht/FnWlE\nWRKlC7jPd8WYRSRGWl+vecNH+gXZpBsaw4jQajGGmgD1AQVltd9dWM3cx4gxj8+s9YoQWP/oU7eA\noWWrshdicUZdX695QyD94vB4cWFhwcox1m6jqHftpGmIxVnjJaDm2PP4DM9/rFy75Zax19/9mI4v\nRZvnAOX2wznkeUMg/eJg2MfGe5ig0PPcS4lWNTZhNceexyfe7pUxwPvboBHjucR4vURQbj8czRsu\n0h8JXpmCxpQ08Qb/KPQiciYE1JxmHh/8Za+MoXNIZYxf/oBGTEQOSJX9cA553nCR/kig6eTBIsaF\nKPTWKfb791gIqxndJ7Ko8/joCvLkx/UPP0EjRp9BjPUcTJX9cDRvMNIfFS76i4uLPP1y2ouWFQE1\np5nHB9yUvbLW4enEF71oAam+H84hzxuM9EeFe7HotvL+VmPcc6sIYTWnmcfnURmGYShm9DneHnJB\n9sPRvEFIvwToqpIdP25bWggVcXIjrOY08/j8mNkz3/85fYi3qiPUfjiaN4D0S7BMQnpWZXSYjLCa\n0ZXizQjizeO7e0uBeLMd7nz9Fe/LjoTmDSD9EtwgLT0r9ztdYoJrfs5eKeI8/rX9ZSze784B96/X\nvAGkXw6ejYFlO2skCKs5zTy++xBnpBnFKvP1fdG8If1y8IAEVu638PQE15xgHp8X44NIazuqzNf3\nRfOG9MvhahJB2RJcc4J5fLeMiaAgxNi/XvOG9MvhPusmgrIlhubY8/jus5siqDqR9q/XvCH9crAm\nVAAiKFsiaeYqMMY8PpcxNGgiqDqR9q/XvCH9cmg6Mv/LXrXGFvZnYs0b0i8Hv++pRukYTzPvj19H\n+0Pv61RE84b0y6F1lYs7j187CzJf76J5Q/rl0HRMg2pOQ9ZlDCaCskU1p0E1S78cKO5sIihbVHMa\nVLP0y+FqOrTrPBKgmtMQVrP0y+G+1aIua9JUcxpUs/RLoGur06Ca05DjunuIcO2UFyFDVHMaVDOQ\nfgkgguzhh+3PQvk/66qa06CagfRH5TapaDQmJyfrsmeDak6DaiakPyq8j8/Kygrv4/OEFy0rVHMa\nVDMh/ZG468zAQFBd9tBTzQlQzYz0R4ILfbPZFPuqolMrImeCak6DamakXxwMBNn4VRco+ujI0sHM\n9zRXzfFQzS7SLw6v6ZqfnydBZPyeCxR9NL7irPGimtOgml2kXxB0T9m40JOh6KOppaBl78QxoprT\noJoF0i/CbWdouLi4aLU4hvGiDc6mV6Ca06CafaR/IGgun6C7maEhSrkVst9WVvhZ0u53EBdJjGpO\ng2rui/QPhJckYyw4/D3ws7OzFBOVBAaU4jopUc1pUM19kf5wLtBNjPG7BgcZZEE3RUZVgQpDXC0N\nqjkNqnkQ0h8ErugK2tjYoBv/xtjOzs6asa2tLToCQQhFxeDKStwxUM1pqKNm4GuGJFJIgmFBNEu/\nL2gZcUW26enpubk56wy1Vqt17tw565hGdtO7eCRUs7h4JOqoGZWC0LywsGCdoVZOs/R9UFhxrYCW\nYDZJNcNUc1+g2S1g1e1AzdJ3QXHn1SWDDENGMG9igvO9I+6bL3xDVTDSqLE4qtk11SwYrvlkT+Fy\nUM3SZ9YajUfpAvsNOnDjG178vqDOgNzT9lRp+A74U4lTqqCa+5pqBlD1iL32PoMA3AuhRW5XTrP0\nAe73GJ3kGMoxro57iMgFQSlHk+qLmwiUmqqZUM0+qBG+ZC+5Z6R5SOMznJE02/9w9B0z0+J3r6Em\nyFcloAy1nW8YciItRvrOqnkIh1wzQJm/OEAzbiQil6aI5m4awR9kaPpDpaDLVfNV+xrGo5AENg1c\nO0IuHXlNNRfmkGgGdAR1AUIxfBpkaLvSax5oaAfd7xAcfFX8kcKaavZRzWRZaJ6YQGfSGmoCnCOu\nEgPUOmzHjh2znwqbai7IIdR85Ih9qzUMuV9cPBL9Nbfb7Q8++GBmZsb6CQUR6NFyOzs5Obm+vg5J\nsHljvEis2WzSkdXVVYR2Oh3VPBK/x5ph+EwHEbq9ve1qRr4Xl42K0Ly5udm4f//+0tKSPWZiiHMS\ngEacZc3NzdG6leF26dIle4JqLoxqToPQ3Bi7IMKVtbCwYFNrgG1sbNioqnlEVHMaXM17lrgb4HPD\nCukaSr5NM8/cB+ZUcwlUcxpczV3DQFbEGAtXrZyuIb1syjm2u7s7NTVFEVRzaVRzGvY0n041U1QE\nVD9krVbL73zz46iquSKqOQ1W86YXMEaQOvzDebvdtuln7O5dBFpTzRVRzWnoykI5E0fHDoaqZGj6\n0QGwqXj/Pj/ko5qDoJrTMPIysDSgP02GDgAlIg9nj6vmcKjmBEg/E9Dcs1F11f2dwVjinxSLo5rT\nUDvN0s+HeUo2s9fCvXv36DMqKnRwRcx8UM1pqJdm6ecD97xRS/HW/hn2tl1UcxrqpVn6+dCdkOnZ\n448/Th9ueNGyQjWnoV6apZ8V3CUgQ2dARMgQ1ZyGGmmWflaI1SiZd2AI1ZyGGmmWfla4XQIYeuEi\nQoao5jTUSLP0c8O1rH6/H4JrqjkeruWsWfq5wT84wlB1idA8Uc1pqItm6efGWUpCYyIoW1RzGuqi\nWfq5gbEsGSotEZQtqjkNddEs/dzQv30aVHM8pJ8bP6RUrNXfXjWnoS6apZ8bL1Iq1upvr5rTUBfN\n0s8N7cOkQTXHQ/q5sUyp2Gic8oKyRTWnoS6apZ8bqKLYRFC2qOY01EWz9HND//ZpUM3xkH5uuK+9\nuO2F5olqTkNdNEs/K+5Q+vWsFmtVVXMaaqRZ+lnhblsJm/ciZIhqTkONNEs/K8RzeDARIUNUcxpq\npFn6+eA+IDQ9PU0fsn2enFDNaaiXZunnAz/oOjs7W5e9XFRzGuqlWfr5wDOz7Xab9/f6bN5PCqnm\nNNRLs/Qzwd+nstlskrvsRc4E1ZyG2mnOce9iwD99oCeARIS5Lw1QzaFQzQnIsRfbptQyr9N1X4Ez\nP28nk1RzEFRzGrqW1X4jqJFOkSzT27ZJaCzn99+o5gTUVHPXoBufRNi4uECavIqKjN/jpporoprT\nwJq7fVwRNhZetXK6tr29bRPPMYxxkb4UQTWXRjWnwdXcNRQ4ESMx3NWG8XDWN7dXoJpLoJrTsKeZ\nW1jYVS9eMm6b3zfIFhcXbZoNMH6nG0w1j4RqToOruQFZ0G0dU/hE7AS4gmZnZ/2utm9u1aCaC6Ka\n0yA0N9bW1m7evMmLvmCJG1mkAgs6ceLErVu3IAm2YIxfkdhqtejI5cuXEbq1tXXmzBkKgqnmA/k9\n1gzDZzqI0J2dnS9/ee8BzoveZaPia7YObGJiwn4ya1XSzMzg+7MdPXrUfipsqrkgh1Dzgw8+aD+Z\nqiFHzV80TZ64REDwne2b6MOZavZRzWRfGKPmV/s9isP2VXOyuFx1XkPVaO8g7bSRBDYNnC53ekcw\nkFXNBTkkmgEduWFC0dIet2dIe2Ecmm0k3Bj6zjcaJynEMZwM3aGUrTUaj9oL7zP8LdGRHWmxmWoe\nwiHXDFACl/sVNmjGjUTk0hTRvO8EAvWBn5oPm76mW3OMBG6Gsv6EvdieIQmC/JFUM6GafVBBoGUT\n9pDRTGWgBMM1i8jSZ1AK/dSEnTIjyHe8+H1BuuOb+FLIgqSgi2rua6oZoKT11QwBuBc0F7ldOc3S\nd8EJOA1Fc4ihhgAY7SEmQBLTEZ6+7GtoSUtXIcNRza6pZgFkDDHUEaQQUgNqlr4Pyu7wpBzVUAuK\nWwRHNcNUc1+guTsPEc4O1Cz9vqDScmXNzMx0f70uYM1m8+zZvdcd4u+BDr24eCRUs7h4JGqqGU0T\nGzTz42fDrZxm6Q8Css7ThY1tbGzQupW7xra3t9vGOp0OHaE1L/fu3ZuamqJT8JdAFSIuGxXVnIY6\naga+ZkgihXADapb+cFxZuHE3IQcbZLVaLYoMQfhLiKulQTWnQTUPQvoHwo0sCjSKtb1/P+PlZGhS\n441ii6Ca06Ca+yL9A0HxRSEmw11RuK2E/Xbp0iUbaRzdAIFqToNq7ov0i4B7oCiTLS0tWRWOoRdr\ng5PMFBVBNadBNftIvyA36IbGREcWNQGaXQrKar871ZwG1SyQfnF4vLiwsGDlGGu3UdS7dtI7Zeyo\n5jSoZhfpFwfDPjYu+m6hhzRxythRzWlQzS7SHwm/6G9sbNCRDCsqQjWnQTVbGo3/D0Se8idnb2f1\nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from pyquickhelper.helpgen import NbImage\n", + "NbImage(\"data/hexa.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Mais dans un premier temps, il faut un moyen de rep\u00e9rer chaque boule. On les num\u00e9rote avec deux indices." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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IkhZbuK4IX+SeDnLScE8HfzSX/uW4ifTTn2MnwR3g91Xat/b+GllFcTjaaNJdRbpyeZHe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\nSytf9+eKsTj4XyBXHdU5SR8tjrSaPY5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+ "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Image(\"http://lesenfantscodaient.fr/_images/pyramide_num2.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Les coordonn\u00e9es\n", + "\n", + "On prend comme exemple [scatter_demo.py](https://matplotlib.org/examples/shapes_and_collections/scatter_demo.html) sur le site de matplotlib." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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fDh7MsXj6afW+u4az4hyFXlXFxRJtMobLRWXz3ntqPTQttmyhKyXaS63MTE7S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\nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "fig, ax = plt.subplots(1,1)\n", + "n = 10\n", + "x = []\n", + "y = []\n", + "for i in range(1,n+1):\n", + " for j in range(i, n+1):\n", + " x.append(i)\n", + " y.append(j)\n", + "size = [300 for c in x]\n", + "colors = [\"r\" for c in x]\n", + "ax.scatter(x, y, s=size, c=colors, alpha=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On inverse." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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77rM3orEjPvkE+M1vqOi7Chhb2UxLlwLXXeec0o9GgWef5VD34cO77kZaXc3N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\nYDAY+gn/H/7n5kuVlIGcAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1)\n", + "n = 10\n", + "x = []\n", + "y = []\n", + "for i in range(1,n+1):\n", + " for j in range(i, n+1):\n", + " x.append(i)\n", + " y.append(-j)\n", + "size = [300 for c in x]\n", + "colors = [\"r\" for c in x]\n", + "ax.scatter(x, y, s=size, c=colors, alpha=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On d\u00e9cale." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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kY/i1a/mZxcWnT/jBYDi8dOxY4JZbGPljiAoTpZMMtLQADzzAOPphw7pfsdor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\nZKgAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1)\n", + "n = 10\n", + "x = []\n", + "y = []\n", + "for i in range(1,n+1):\n", + " for j in range(i, n+1):\n", + " x.append(i - j*0.5)\n", + " y.append(-j)\n", + "size = [300 for c in x]\n", + "colors = [\"r\" for c in x]\n", + "ax.scatter(x, y, s=size, c=colors, alpha=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Cela ressemble \u00e0 de l'hexagonal mais ce n'est pas encore tout \u00e0 fait cela. La hauteur d'un triangle \u00e9quilat\u00e9ral de c\u00f4t\u00e9 un est $\\frac{\\sqrt{3}}{2}$. Ca tombe bien car dans l'exemple pr\u00e9c\u00e9dente, le c\u00f4t\u00e9 de chaque triangle est 1. Et on change la dimension du graphe trac\u00e9 avec *matplotlib* pour \u00e9viter de r\u00e9duire nos effort \u00e0 n\u00e9ant." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ZZ1wM3NZ89BOkgxi+LYTYLoR4XgjhQnygn+DgQYqOjBxpb38/eDBXy5UrjZ/H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\nPGgjEd5l4fRYMTeXHoHRoP3gA05cp8eKeXn8nvQ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize=(4, 4*(3**0.5)/2))\n", + "n = 10\n", + "x = []\n", + "y = []\n", + "for i in range(1,n+1):\n", + " for j in range(i, n+1):\n", + " x.append(i - j*0.5)\n", + " y.append(-j*(3**0.5)/2)\n", + "size = [300 for c in x]\n", + "colors = [\"r\" for c in x]\n", + "ax.scatter(x, y, s=size, c=colors, alpha=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## La couleur\n", + "\n", + "Je vous laisse retourner sur les deux premi\u00e8res images et observer la couleur de toutes les boules qui v\u00e9rifient ``(i+j)%3 == 1``." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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tQIsKUXR7uxGMBjGlfAoemv4QssxXFg/cBSNqUYMrTjEAtJJaWohW7aOPBtst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\n1BrKcNPomzRNgC5PF24YeUPCeXTaNJKv2jkrdk2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize=(4, 4*(3**0.5)/2))\n", + "n = 10\n", + "x = []\n", + "y = []\n", + "colors = []\n", + "trois = \"rgb\"\n", + "for i in range(1,n+1):\n", + " for j in range(i, n+1):\n", + " x.append(i - j*0.5)\n", + " y.append(-j*(3**0.5)/2)\n", + " colors.append(trois[(i+j) % 3])\n", + "size = [300 for c in x]\n", + "ax.scatter(x, y, s=size, c=colors, alpha=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "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": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/_doc/notebooks/internet/README.txt b/_doc/notebooks/internet/README.txt new file mode 100644 index 0000000..d598f07 --- /dev/null +++ b/_doc/notebooks/internet/README.txt @@ -0,0 +1,5 @@ +Internet +++++++++ + +Automatisation de traitements avec des données +récupérées depuis Internet. diff --git a/_doc/sphinxdoc/source/blog/2017/2017-05-23-seance5.rst b/_doc/sphinxdoc/source/blog/2017/2017-05-23-seance5.rst new file mode 100644 index 0000000..0295075 --- /dev/null +++ b/_doc/sphinxdoc/source/blog/2017/2017-05-23-seance5.rst @@ -0,0 +1,22 @@ + +.. blogpost:: + :title: Préparation pour la séance 5, données out of memory + :keywords: big data, + :date: 2017-05-23 + :categories: big data + + Certains jeux disponibles sur + `data.gouv.fr `_ + sont très volumineux. C'est l'occasion de voir comment se + débrouiller quand les données ne tiennent pas en mémoire. + Nous choisir un des fichiers disponibles sur cette page : + `DAMIR `_. + Il faudra le télécharger avant la séance. Nous verrons : + + * `pandas et les itérateurs `_ + * `sqlite3 `_ + * `dask `_ + * `format de données compressés `_ + + Correction de l'exercice proposé dans le blog précédent : + :ref:`pyramidebigarreerst`. diff --git a/_doc/sphinxdoc/source/i_examens.rst b/_doc/sphinxdoc/source/i_examens.rst index 0da2be5..7b8681d 100644 --- a/_doc/sphinxdoc/source/i_examens.rst +++ b/_doc/sphinxdoc/source/i_examens.rst @@ -8,11 +8,18 @@ Examens passés Enoncés ======= -* :download:`année 2015-2016 ` -* :ref:`énoncé 2016-2017 ` +* :download:`année 2015-2016 ` : + l'énoncé propose une dizaine de questions sur le langage Python + puis un exercice sur un jeu de données qu'on supposera volumineux. +* :ref:`énoncé 2016-2017 ` : + le notebook aborde un problème de prédictions à deux niveaux d'agrégation + qui passe par des manipulations classiques de dataframe. Correction ========== -* :ref:`solution 2015-2016 ` -* :ref:`solution 2016-2017 ` +..toctree:: + :maxdepth: 1 + + solution 2015-2016 + solution 2016-2017 diff --git a/_doc/sphinxdoc/source/i_exercices.rst b/_doc/sphinxdoc/source/i_exercices.rst new file mode 100644 index 0000000..48c8168 --- /dev/null +++ b/_doc/sphinxdoc/source/i_exercices.rst @@ -0,0 +1,16 @@ + +.. _l-exercices: + +========= +Exercices +========= + +Pour apprendre à programmer avec des exercices plus ou moins courts. + +Faciles +======= + +.. toctree:: + :maxdepth: 1 + + notebooks/pyramide_bigarree diff --git a/_doc/sphinxdoc/source/index.rst b/_doc/sphinxdoc/source/index.rst index e40e876..141bc7d 100644 --- a/_doc/sphinxdoc/source/index.rst +++ b/_doc/sphinxdoc/source/index.rst @@ -23,12 +23,13 @@ Contenu i_seances_base i_datasets -Examens -------- +Examens, exercices +------------------ .. toctree:: :maxdepth: 2 + i_exercices i_examens Démarrer, Index