{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 1 2 3 4]\n"
     ]
    },
    {
     "data": {
      "image/png": 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XW0eQ17ftZ8SwJC4ozKI9EOTPq/cwpziPirJ8rpmWx/CUxC7H2FMT47lnfrGP1Yucu3DMijHgl0C1c+4H/S9J5Ny1tAd4dXMjy6vqeK66nmMtHfz1hWP4wUdmMDE3nXceuI6UxPj3vOfmC71LQmfOijm5XGSwCccZ++XA7cA6M3sntOwbzrmlYdi2SI86AsFTt+r/9X+8zobao2SmJjL/vHwWlOVz+eScU+ueGeon3XzhGAW5xIx+B7tz7jW82WEiEXO0pZ0XqutZtq6Od/ce5rV7ryExPo67505hWFI8l04aSaL6ssgQpTtPZVB5e/chHnphC3/Zup/2gCM/I4UFZQWcaA2QOSyOitP6s4gMVQp2iWoNx1pYsb6eWUUjKB2dQUfAsa2xiTsvn0BFWT4zxmYRF6c/GEVOp2CXqFNzuDn07M9aVu06hHPwt/OmUjo6g4vGj+DVe+aoyZbIWSjYJSocbWknIyWRQNBxw0P/zeET7UzLH86X5k5lwfR8puR5fVkU6CI9U7CLb7bUH2PpujqWVdXS0h7gpa9eTXyc8a8fuoCJuelMyEnzu0SRQUnBLhH39Np9/PC5zWxrPI4ZzCoawS2zxtIRdCTGG3NLRvldosigpmCXAeWc4509h1leVcfHZhcxbmQaCXHGqIwU7rhsPPPPyycvQ821RMJJwS5hFwg6Vu86xNJ1taxYX0ftkRYS443zxmQybmQaFWUFVJQV+F2mSMxSsEtYtAeC7G9qpSAzlaaWDj728zeIizOumprLPfOLmVsyiszURL/LFBkSFOxyzlo7Ary2ZT/Lqup4vrqeKXnp/Pkzl5E5LJHffXI208dmkp6sf2IikaZPnZyTf39pKz99eRvHWjsYnpzA3JI8rp/eObxy6aSRPlYnMrQp2KVHx1raeXFjA8+ur+e7Hygja1gSucOTWTA9nwVlBVw2eSTJCV031xKRyFOwS5eaWjtO3f356pb9tHUEyR2ezLbG48wal8SHywv5cHmh32WKSBcU7HLKgaZWmlo7GDcyjQNNrXz1z+8yOjOF22aPY8H0fGYWjSBefVlEop6CfYirO9LCivXe3Z9v7ThIRVk+//HxWYwbmcbSu6+kpGC4buMXGWTC9Wi8XwE3Ag3OubJwbFP658k1NT0+EehLf1zDk+/sA2BKXjpfmDOZ68/vvABaOjojojWLSHiE64z918C/Ab8N0/akH858hmfN4WbufWwtz22oY39TG7/75GySEuIoH5/NpNx0FkzPZ3LecJ+rFpFwCUuwO+deNbPx4diW9N+DKza958HMAK0dQZ5ZV8eMwizqj7ZQmD2M2y4Z51OFIjKQIjbGbmZ3AXcBFBUVRWq3Q4pzjqqao+w73Nzl6wY8+fnLI1uUiERcxILdObcIWARQXl7uIrXfWBcMOtbsOcSydXUsX1/H3kPNpCXFc7wt8L51R2el+lChiESaZsUMYs45rn/ov9lYd4yk+DiumJLD3XOn0N4R5B+fqX7PcExqYjz3zC/2sVoRiRQF+yDR1hHk9W37WV5Vx8a6YzzxucswMz4+u4jhKYlcU5JHRkpnk6205IQeZ8WISGwK13THPwBXAzlmthf4lnPul+HY9lC3du9hfv36Tp7fUM/Rlg7SkuK5pmQUJ9oCpCUncPul47t8380XjlGQiwxR4ZoV89FwbEfgRFsHL29q5PyxmYwdMYyaQ808v6Gea0vzWVCWzxVTckhJVF8WEemehmKiwNGWdl6sbmBZVS2vbG6kpT3I1xdM4zNXTWJe6ShWl15LYnyc32WKyCChYPdJIOiIjzNa2gNc+k8vcLwtwKiMZD5SXkhFWQEXT8gGUKCLSJ8p2COo4VgLz66vZ3lVHe2BIH/69KWkJMbzzRtLmTpqOBcWZhGnJlsi0k8K9ghYXlXHr17bwcpdB3EOJuSkcf30fJxzmBkfvVg3bIlI+CjYB8DuAydYVlXLh8oLyU5LouFYC0ea27n7miksmJ5P8Sh1TBSRgaNgD5OtDcdYtq6OZVV1bKg9CkBR9jAWTC/gttnj+EQ30xJFRMJNwX6OnHMcbwuQnpxAzeFm5v3gVQBmjRvBN28oYf55+RRmDwPQuLmIRJSCvQ+cc7y79wjLqmpZXlVHSX4GP719FmOyUvnxrTOYPWEk+ZkpfpcpIkOcgr2Xfv7qdv7rLzvYd6SFhDjjssk5XFs66tTrC2foLk8RiQ4K9i50BIK8sf0gz1fXc9/100hOiKe1I0Dp6Ay+cl0x80pGkTkssecNiYj4QMEe0toR4PWtB1hWVcuzG+o5fKKd1MR4PjhzLNPHZvKFa6b4XaKISK8M6WBvaQ9wvLWDkenJrN93lDt/vZLhyQnMLcmjoqyAq6bmkpqkviwiMrgMuWBvau3gpY0NLK+q48WNDdwyayz/cHMZM8Zm8es7L+LSSSNJTlCYi8jgNaSC/d5H1/LEOzW0dQTJSU/mr2eOoXLGaMCbknh1cZ7PFYqI9F/MBvuBplae3VDPyh0H+dcPX4CZkZeRzMcuLuL66QXMGjeCeM0vF5EYFFPBvr+plaXralm6rpa3dhwk6Ly7PxuPtZKXkcJXrtOj4UQk9oXrCUoVwI+BeOAXzrl/Dsd2T7dyyc8ofPtB8lwjDZbLnpn3cFHlp9l76ATJCfHkDk9m1c5DPLB4PZNy0/j8nMlUlOVTWpChviwiMqSYc65/GzCLBzYD1wJ7gZXAR51zG7p7T3l5uVu1alWv97Fyyc8oW/1NUq3t1LITLokHkz7Hfx27mL+dN5UvzptCS3uAPQdPMGXU8HP+7xERiVZmtto5V97TeuE4Y78Y2Oqc2x7a8R+BhUC3wd5XhW8/+J5QBxhmbXyq7WFGLfgEN0wvACAlMV6hLiJDXjgezzMG2HPaz3tDy97DzO4ys1VmtqqxsbFPO8hzXa8/mv18ZtQmCofrKUMiIidFLBGdc4ucc+XOufLc3Nw+vbfBul7fmcEfPwoPToI/3wnrn4S24+EoV0Rk0ArHUEwNUHjaz2NDy8Jmz8x7yDxjjL3ZJbF+5t9Tfl4xbFgCG5+B9Y9DQipMngulC2HqfEjJDGcpIiJRLxzBvhKYYmYT8AL9VuBjYdjuKRdVfpqVEJoVs58Gy2HPLG9WDACT58ENP4Dd/wPVS0JB/zTEJ8HEq6GkEqbdAMOyw1mWiEhU6vesGAAzux74Ed50x1855757tvX7Oiumz4JB2LuyM+SP7AaLhwlXhkL+Rhg+quftiIhEkd7OiglLsPfVgAf76ZyD2ne8gK9eAge2AgZFl0JpJZTcBJljI1OLiEg/KNi74hw0VMOGxV7IN4RmZI6Z5Z3Jl1ZC9sTI1yUi0gsK9t7YvxWqF3tn87XveMvyp0PJQi/kc9WCQESih4K9rw7tguqnvDP5PW96y3KKQ8M1lV7gqzWBiPhIwd4fR/dB9dNeyO/6C7ggjJjgjceXLvSGbhTyIhJhCvZwaWqETc94wzU7XoFgB2SMDYV8JRTOhjg9mENEBp6CfSA0H4JNy72Lr9tehEArpOVByY3ecM34KyE+pjohi0gUUbAPtNZjsHmFN1yz5TloPwGpI6D4Bm+4ZuJVkJDsd5UiEkMi2d1xaEoeDtNv8b7aTsC2Fzrnyr/zMCRnwNQKb7hm8jxITPW7YhEZIhTs4ZA0zBtzL7kJOlph+8teyG96BtY9AonDYMq13nDN1PneLwURkQGiYA+3hGQvvKfOh8CPYOdr3ll89dPe2Hx8stekrKQSiiu84RsRkTDSGHukBAOw+41QyD8FR2sgLgEmXOUN10y7EdJy/K5SRKKYLp5Gs2AQ9r3d2drg0E6wOBh3uXfhddqNkFHgd5UiEmUU7IOFc1C3LtSJcjHs3+wtL5ztDdeU3AQjxvlbo4hEBQX7YNWwsbPdcP06b1nBjFBrg4WQM9nf+kTENwr2WHBgW2f/mprV3rK80lAnyoWQV6LWBiJDiII91hze0xnyu98AHIyc3NluuGCGQl4kxkUk2M3sQ8DfAyXAxc65XqW1gr2fjtV5j/7bsMSbTukCkFUUGpOvhLEXQdWj8MJ34Mhe70Eicx+A8z/sd+Ui0g+RCvYSIAj8DPiqgt0Hxw/ApqXehdftL0OwHZIzof2417DspMRUuOkhhbvIINbbYI/rz06cc9XOuU392Yb0U9pImHk73PYo3LMVPrAIAm3vDXWA9mZ44dv+1CgiEdWvYO8LM7vLzFaZ2arGxsZI7XZoSc2CCz4CHS1dv35kLzzxGdi4FNq7WUdEBr0eWwqY2fNAfhcv3e+cW9zbHTnnFgGLwBuK6XWF0neZY+HInvcvTxzmhfq7f4CkdK/tQUml18cmKS3ydYrIgOgx2J1z8yJRiITR3Afgqbu94ZeTElPhph9D6c2w41XvWa8bn4GqxyAh1etfU7rQC/uUTP9qF5F+UxOwWHTyAml3s2KmzPO+bvih9+i/k03KNj4N8UkwcY43hbL4ehiW7d9/h4ick/7OivkA8BMgFzgMvOOcm9/T+zQrJgoFg7D3rc6e8kf2gMXDhCs7Wxuk5/ldpciQphuU5Nw5B/vWdLY2OLgNMCi61BuuKbkJMsf4XaXIkKNgl/BwDho2ePPkNyyBxmpv+ZjyUP+aSsie4G+NIkOEgl0Gxv4tne2Ga9/1luVPD53JL4Tcqf7WJxLDFOwy8A7t9PrXbFgMe1d6y3KndfavGVWm/jUiYaRgl8g6UtPZv2b36+CCMGJCZ7vhMTMV8iL9pGAX/zQ1eiFfvcSbMx/sgMzC0AO/K72HiMRF7KZnkZihYJfocOIgbF7uDddse9HrY5M+ynv8X2kljLsC4nU7hUhvKNgl+rQchS3PeiG/5TnoaIbUbJh2vXdH7ISrICHJ7ypFolZvg12nShI5KRkw/Rbvq+0EbH3eG65ZvxjWPOy1Gy6u8IZrJs/12iCISJ8p2MUfScO8oZjSSuhohW0veSG/8RlY+ydITPOak5UuhCnXQXK63xWLDBoKdvFfQrJ3pl5cAYF22Pnf3uyajU/DhichIQUmzfV+CUyt8NoTi0i3NMYu0SsY8J7verK1wbF9EJcIE6/yhmum3eg9aERkiNDFU4ktwSDUrPbaDW9YAod3gcXB+Cs6m5QN7+qxASKxQ8Euscs5qFvb2Yly/2bAvPnxJ/vXZBX6XaVI2CnYZeho2NjZv6a+yls2emZnyI+c5G99ImGiYJeh6cC2zjH5fW97y0aVdfavyZ2m1gYyaEUk2M3sQeAmoA3YBtzpnDvc0/sU7BIRh/d4Tcqql3gXYXEwcoo3hbK0EvLP7wz5tY90/8QpkSgRqWC/DnjROddhZt8DcM7d29P7FOwSccfqOkN+52tek7KscV7AJ6bD6z/q4hmxDyncJapEfCgm9Ji8W5xzH+9pXQW7+Or4Adj0jDdcs/1lCLZ3vV5mIfxtVURLEzmb3gZ7OFvs/Q2w7CwF3WVmq8xsVWNjYxh3K9JHaSNh5ifgtkfhnq3dr3dkr3fDlMgg02Owm9nzZlbVxdfC09a5H+gAft/ddpxzi5xz5c658tzc3PBUL9JfqVnemXmXHHx/Cjz5Odi03Gt9IDII9NhSwDk372yvm9kdwI3AXOfHFBuR/pr7ADx193vH2BNSofxOr+1w9dPwzu8haThMne9dfJ08z+t3IxKF+tUrxswqgK8BVznnToSnJJEIO3mBtLtZMR1tsOMVb678xmeg6lFIHOaF+8kmZSkZ/tUvcob+zorZCiQDB0KL3nDOfaan9+niqQxagQ7Y9Rdvdk31U9BUD/FJMOkab6588QIYlu13lRKjdIOSyEALBmHPm50hf2QPxCXAhL/qbFKWrutJEj4KdpFIcs670/Vk/5qD270mZUWXhVob3AQZo/2uUgY5BbuIX5yD+vWd/WsaN3rLx17U2dpgxHhfS5TBScEuEi0aN3e2G65b6y0ruCAU8gshZ4q/9cmgoWAXiUYHd3S2Nti70luWW9LZiXLUeWpSJt1SsItEuyM1nSG/63XAQfZE7yy+pBJGX6iQl/dQsIsMJk0NoWe8LoEdr4ILQGaRd9G1tBLGXgxx4ewAIoORgl1ksDpxEDYt8y6+bn8JAm2Qng8lN3pn8uMuh3g9h34oUrCLxIKWo7B5hXfxdcvz0NEMw0bCtBugZKHKKXH1AAAKoUlEQVQ3Zz4hye8qJUIU7CKxpu04bH3eG67ZvALajkFKJkxd4A3XTLrG6yMvMau3wa6/50QGi6S00NOfFkJ7izdMs2EJbFoKa/8IiWkw9bpQk7JrITnd74rFJwp2kcEoMcXrS1O8wOsZv+PVUGuDp2H9E5CQ4jUpK6mE4grvzF6GDA3FiMSSYMCbOnmyf82xWohLhIlXe8M1xTd4DxqRQUlj7CJDXTAINas6Wxsc3g0WD+Ov8EJ+2k0wfJTfVUofKNhFpJNzUPuuF/AbFsOBrYBB0SXecE3JTZDV3ZOkJFoo2EWka85BQ3Uo5JdAw3pv+eiZna0NRk7yt0bpkoJdRHrnwLbO4Zp9a7xlo6Z3hnzeNH/rk1MiEuxm9g/AQiAINAB3OOf29fQ+BbtIlDq0q7N/zZ43vWU5UzvbDeef7/WvWftI948SlAETqWDPcM4dDX1/N1CqR+OJxIijtaH+NYu9xwG6oNdHPqcYtr8MgdbOdRNT4aaHFO4DLCI3KJ0M9ZA0IPLjOiIyMDIK4OL/7X0d39/ZpGzLivev297sncEr2KNCv9vFmdl3zWwP8HHggbOsd5eZrTKzVY2Njf3drYhEUloOzLoDbn8c6KaV8JE9sO0l74Yp8VWPQzFm9jyQ38VL9zvnFp+23n1AinPuWz3tVEMxIoPYD8u8EH8fAxykjvBuhCqt9G6MSkiObH0xLGxDMc65eb3c5++BpUCPwS4ig9jcB+Cpu73hl5MSU2HB9yE1s/OB3u88DMkZMHW+d/F18jxIGuZf3UNIv8bYzWyKc25L6MeFwMb+lyQiUe3kOHp3s2JKboKOVtj+itdueOMzsO7PkDgMplzrhfzU+ZA83L//hhjX31kxjwHFeNMddwGfcc7V9PQ+DcWIDCGBDtj1Wmiu/NNwvAHik702w6WVXiOz1BF+Vzko6AYlEYk+wYA3P35DqEnZ0b0Ql+A9MKSkEqbdCOm5flcZtRTsIhLdnIOat73hmg2L4dBOsDjv0X8lld6jADNG+11lVFGwi8jg4RzUrevsX7N/k7d87MWdrQ1GjPO3xiigYBeRwatxkxfwGxZD/TpvWcGMUMgvhJzJ/tbnEwW7iMSGg9s7p1DWrPaW5ZV29q/JK/X61wwBCnYRiT1H9noXXTcsgd3/AzjInhR6Fmyld1YfwyGvYBeR2HasHjaGQn7na+ACkFUUuvBaCWMvgrh+d02JKgp2ERk6jh+ATUu94ZptL0GwHYYXeNMnSyuh6DKI79f9mFFBwS4iQ1PLEdi8wrvwuvV56GiBYTkwLdS/ZsJVEJ/od5XnRMEuItLaBFufC7UbfhbamiAlE4qv94ZrJl0DiSl+V9lrEenHLiIS1ZLT4bwPeF/tLbDtRW+4ZuNSePcPkJQOU67zLr5OuRaS0vyuOCwU7CIyNCSmwLTrva+ONtjxameTsvWPQ0IqTJ7rhfzU+d6Z/SCloRgRGdoCHbD79c7+NU11EJ/k9ZIvqfTG5odl+10loDF2EZG+CwZh78pQJ8ol3gNFLB4mXNnZpGz4KN/KU7CLiPSHc7BvTWf/moPbAIOiS0OtDW7yetFHkIJdRCRcnIOGDZ2tDRo2eMvHzPLG5EsqIXvCgJehYBcRGSj7t3QO19S+6y3Ln+41KCuthNziAdltRIPdzL4CfB/Idc7t72l9BbuIxIxDOzv71+x9y1uWU+wFfOlCGFXm9a9Z+0j3jxPspYgFu5kVAr8ApgGzFOwiMmQdqYGNT4ealL0OLggjJkDOVNj+MgRaO9dNTIWbHupTuPc22MPRIeeHwNeAyI/piIhEk8wxMPvTcOcz8JXNcOOPvLH3LSveG+oA7c3eGfwA6Fewm9lCoMY5924v1r3LzFaZ2arGxsb+7FZEJPql50L5nXD7E0A3rYSP7B2QXfd456mZPQ/kd/HS/cA3gOt6syPn3CJgEXhDMX2oUURkcMsc682J72r5AOgx2J1z87pabmbTgQnAu+Y1th8LvG1mFzvn6sJapYjIYDb3AXjqbm/45aTEVG/5ADjnXjHOuXVA3smfzWwnUN6bi6ciIkPKyQuk/ZwV01tqAiYiEgnnf3jAgvxMYQt259z4cG1LRETOXWw9EFBERBTsIiKxRsEuIhJjFOwiIjHGl+6OZtYI7DrHt+cA0TilUnX1jerqG9XVN9FaF/SvtnHOudyeVvIl2PvDzFb1pglOpKmuvlFdfaO6+iZa64LI1KahGBGRGKNgFxGJMYMx2Bf5XUA3VFffqK6+UV19E611QQRqG3Rj7CIicnaD8YxdRETOQsEuIhJjojbYzazCzDaZ2VYz+3oXryeb2Z9Cr79pZuOjpK47zKzRzN4JfX0qAjX9yswazKyqm9fNzB4K1bzWzGYOdE29rOtqMzty2rEamObU799voZm9ZGYbzGy9mX2xi3Uifsx6WVfEj5mZpZjZW2b2bqiub3exTsQ/j72sK+Kfx9P2HW9ma8zs6S5eG9jj5ZyLui8gHtgGTASSgHeB0jPW+Rzw09D3twJ/ipK67gD+LcLH66+AmUBVN69fDyzDez7XJcCbUVLX1cDTPvz7KgBmhr4fDmzu4v9jxI9ZL+uK+DELHYP00PeJwJvAJWes48fnsTd1RfzzeNq+vwz8v67+fw308YrWM/aLga3Oue3OuTbgj8DCM9ZZCPwm9P2jwFwLPcrJ57oizjn3KnDwLKssBH7rPG8AWWZWEAV1+cI5V+ucezv0/TGgGhhzxmoRP2a9rCviQsegKfRjYujrzFkXEf889rIuX5jZWOAG4BfdrDKgxytag30McPoDAvfy/n/gp9ZxznUAR4CRUVAXwAdDf74/amaFA1xTb/S2bj9cGvpTepmZnRfpnYf+BL4Q72zvdL4es7PUBT4cs9CwwjtAA/Ccc67b4xXBz2Nv6gJ/Po8/Ar4GBLt5fUCPV7QG+2D2FDDeOXc+8Bydv5Xl/d7G631xAfAT4MlI7tzM0oHHgC85545Gct9n00Ndvhwz51zAOTcD79nGF5tZWST225Ne1BXxz6OZ3Qg0OOdWD/S+uhOtwV4DnP6bdWxoWZfrmFkCkAkc8Lsu59wB51xr6MdfALMGuKbe6M3xjDjn3NGTf0o755YCiWaWE4l9m1kiXnj+3jn3eBer+HLMeqrLz2MW2udh4CWg4oyX/Pg89liXT5/Hy4FK854D/UfgGjN7+Ix1BvR4RWuwrwSmmNkEM0vCu7iw5Ix1lgD/K/T9LcCLLnQlws+6zhiHrcQbJ/XbEuAToZkelwBHnHO1fhdlZvknxxXN7GK8f48DHgahff4SqHbO/aCb1SJ+zHpTlx/HzMxyzSwr9H0qcC2w8YzVIv557E1dfnwenXP3OefGOu9xobfiHYvbzlhtQI9XVD7M2jnXYWZfAFbgzUT5lXNuvZl9B1jlnFuC9wH4nZltxbtAd2uU1HW3mVUCHaG67hjouszsD3izJXLMbC/wLbwLSTjnfgosxZvlsRU4Adw50DX1sq5bgM+aWQfQDNwagV/O4J1R3Q6sC43PAnwDKDqtNj+OWW/q8uOYFQC/MbN4vF8kjzjnnvb789jLuiL+eexOJI+XWgqIiMSYaB2KERGRc6RgFxGJMQp2EZEYo2AXEYkxCnYRkRijYBcRiTEKdhGRGPP/AQJIgYDuYBgcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "x=np.arange(5)\n",
    "print(x)\n",
    "y=x\n",
    "plt.plot(x, y, 'o--')\n",
    "plt.plot(x, -y, 'o-')\n",
    "plt.title('y=x et y=-x')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.  1.  2.  3.  4.  5.  6.  7.  8.  9. 10.]\n",
      "[  0.   1.   4.   9.  16.  25.  36.  49.  64.  81. 100.]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 11\n",
    "x = np.linspace(0, 10, N)\n",
    "print(x)\n",
    "y = x**2\n",
    "print(y)\n",
    "plt.plot(x, y, 'o--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1. ]\n",
      "[ 1.25892541  1.58489319  1.99526231  2.51188643  3.16227766  3.98107171\n",
      "  5.01187234  6.30957344  7.94328235 10.        ]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.2589254117941673 1.5848931924611136 1.9952623149688795 2.51188643150958\n",
      "[0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1. ]\n"
     ]
    }
   ],
   "source": [
    "N = 10\n",
    "x = np.linspace(0.1, 1, N)\n",
    "y = np.logspace(0.1, 1, N)\n",
    "print(x)\n",
    "print(y)\n",
    "plt.plot(x, y, 'o--')\n",
    "plt.show()\n",
    "print(10**0.1, 10**0.2, 10**0.3, 10**0.4)\n",
    "print(np.log10(y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 11\n",
    "x = np.linspace(0, 10, N)\n",
    "plt.plot(x, x**2)\n",
    "plt.plot(x, x**3)\n",
    "plt.plot(x, 2**x)\n",
    "plt.plot(x, 2*x)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(11, 8))\n",
    "N = 11\n",
    "x = np.linspace(0, 10, N)\n",
    "plt.plot(x, x**2, x, x**3, x, 2**x, x, 2*x)\n",
    "plt.grid(True)\n",
    "plt.axis([0, 10, 0, 1000]) # idem : plt.xlim([0, 10]); plt.ylim([0, 1000])\n",
    "plt.xticks(np.linspace(0,10,11,endpoint=True))\n",
    "plt.yticks(np.linspace(0,1000,11,endpoint=True))\n",
    "fig = plt.gcf(); fig.set_size_inches(8, 6) # autre manière de faire\n",
    "#fig.savefig('test_25.png', dpi=100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 11\n",
    "x = np.linspace(0, 10, N)\n",
    "plt.plot(x, x**2, label='y=x**2')\n",
    "plt.plot(x, x**3, label='y=x**3')\n",
    "plt.plot(x, 2**x, label='y=2**x')\n",
    "plt.plot(x, 2*x, label='y=2*x')\n",
    "plt.legend(loc='upper left')\n",
    "plt.grid(True)\n",
    "plt.axis([0, 10, 0, 1000]) # idem : plt.xlim([0, 10]); plt.ylim([0, 1000])\n",
    "plt.xticks(np.linspace(0,10,11,endpoint=True))\n",
    "plt.yticks(np.linspace(0,1000,11,endpoint=True))\n",
    "plt.xlabel('x = linspace(...)')\n",
    "plt.ylabel('y = f(x)')\n",
    "plt.title('Exemple de 4 courbes')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FUfwthPv/Qc4AhPALrTUzZ87k1FNP5Y477vjBZd9++20OHz7MihUr+NWvfkV5eXmQohTtVrYHvnoWBl8NJ4057uJ5BXlkxGcwuMvgIATXfpIAhPCDL7/8koULF7Js2TKGDRvGsGHD+OCDD45a7tChQ8yePZuXX36ZAQMG8Mtf/pJf//rXFkQsTsjHc0HZYMIfjruoy+viy31fMjYr9Iq/tSRdQEL4wTnnnNOm+/y7dOnCtm3bmsZnzZoVyLCEP/zfCtiyBM6fC6m9jrv46gOrqfXUhnz3D8gZgBBCHJvXY9z2mdYbzvplm1bJ2xu6xd9akjMAIYQ4lnWvQvFmuHYhOOKPu7hP+1hesJyze54dksXfWpIzABExIv3B8kj/fSGnphSWPQR9z4NTf9SmVTaXbqa4rjjkb/9sJAlARASn00lpaWnENpJaa0pLS3E6nVaHEh20hvdnGff+T3z0B+v9NLds7zJiVAzn9QrN4m8tSReQiAiZmZkUFhYSySXEnU4nmZmZVocRHdb+Hb77N1z4MHQb1ObVlhcu5/Sup5Pm/OGnhEOFJAARERwOB3379rU6DBEJDubDR/dC//HHfNFLaxqLv/1m5G8CGJx/SReQEEI0ctXC4pngTIUrXgBb25vIvII8gLC4/bORnAEIIUSjj38LJVtg6tuQ1PWEVs0ryKN/Wv+QLv7WkpwBCCEEwOYlsPYVOGsW9L/ghFataKhg/cH1YXX0D5IAhBACygtgyS+h5+kw7ncnvHq4FH9rSRKAECK6eT3w9o3g8xqVPu0nXp67sfhbTpecAAQYOJIAhBDR7fPHYe9XcOmTkN7vhFdvLP6Wm5Ub8sXfWgqvaIUQwp/2fAWfPQpDroOhP27XJlbtX0Wtp5bcrFz/xhYEkgCEENGp9jC89Qvo1Acufbzdm8krCJ/iby3JbaBCiOjTWOqh+gDM/ATiktu1mcbib+f0Oicsir+1JGcAQojos+5V2PI+XHAf9Bre7s3kH8qnpK4k7O7+aSQJQAgRXYq3wEdzoN84GNO2Gv/HkleQZxR/ywyP4m8tSQIQQkQPdx0s/pnR5XPFiydU6qE1eQV5DO82nNS4VD8FGFySAIQQ0ePjucYLXq54EZK7dWhTBVUF7CjfQW5mrn9is4AkACFEdNjyb1jzstHtkz2+w5vL22sWfwuTl7+0RhKAECLyVRTCe7dCj2HGhV8/aCr+lhw+xd9akgQghIhsPq9R6sHrhqtfaVeph5bK68tZXxx+xd9akucAhBCR7fMnYM+XRr9/O0o9tLrJfZ/j0z7G9R7nl+1ZRc4AhBCRa+9KWP4nOO1aGHqd3zabV5BH1/iuDEpv++siQ1GHEoBSKk0ptVgp9Z1SaotSaoxSqrNS6hOl1Hbzu5O5rFJKPauU2qGU2qSUav/TF0IIcTx1ZfDWzyGtN1z6RJtf7H48Dd4Gvtj3BWOzxoZd8beWOhr9M8BHWutTgKHAFmA2sFRrnQ0sNccBLgayzc+NwAsd3LcQQrROa1gyC6r2w1WvgDPFb5tetX8VdZ66sO//hw4kAKVUKnAe8HcArbVLa10OTALmm4vNB64whycBC7RhJZCmlOrR7siFEOJY1s+HLUuMl7tkjvDrpvMK8kiwJ4Rl8beWOnIG0BcoAV5VSm1QSr2slEoEummt95vLHAAan7boBRQ0W7/QnCaEEP5T/B18OBtOzjVe7+hHjcXfzu51NrExHb+byGodSQB2YDjwgtb6dKCG77t7ANBaa0CfyEaVUjcqpdYqpdaWlJR0IDwhRNRx1xulHmITYfJfO1zqoaX8Q/kcqjsUEd0/0LEEUAgUaq1XmeOLMRLCwcauHfO72Jy/D2j+xESmOe0IWuuXtNYjtdYjMzIyOhCeECLqfPI7KM6HK16A5O5+33y4F39rqd0JQGt9AChQSg00J10AbAaWADPMaTOA98zhJcB0826g0UBFs64iIYTomO8+gNUvwehbYcCFAdlFuBd/a6mjD4L9CnhdKRUL7AJuwEgqi5RSM4E9wLXmsh8AlwA7gFpzWSGE6LjKInjvFug+BMb7p9RDSwWVRvG3u8+4OyDbt0KHEoDWeiMwspVZF7SyrAZu7cj+hBDiKI2lHjwuuPpVsAfmzVzLCpYBREz/P0gpCCFEuPv8Sdj9udHv36V/wHaTV5BHdqdsMpMzA7aPYAvvx9iEENGtqdTDNTD0JwHbTXl9ORuKN0TU0T9IAhBChKu6cqPUQ2omXPqk30o9tGbFvhX4tC/iEoB0AQkhwo/W8P6vjVIPP/uPX0s9tCZvb2QUf2tJzgCEEOFn/QLY/C6MmwuZrd2H4j8N3ga+LPqS3KzcsC/+1lJk/RohROQr2Qof3mOWevh1wHfXVPwtjF/9eCySAIQQ4aOp1ENCQEo9tGbZ3mUkOhIZ1X1UwPcVbHINQAgRPj75PRz8Fn76ZkBKPbTk0z4+K/yMs3tGRvG3luQMQAgRHrZ+CKv/CqNvCViph5a+PfQth+oOkZuVG5T9BZskACFE6Kssgndvge6nwfj7g7bbSCv+1pIkACFEaGsq9VAf0FIPrcnbm8eIbiMipvhbS5IAhBChbcXjRqmHSx6DLtlB2+3uit3srNgZcQ9/NScJQAgRutbNg+V/hCE/hmFTgrrrZzc8S1xMHBNOmhDU/QaTJAAhRGjKfwfevw36T4DL/xLQUg8trShcwSd7PuGmITfRLbHb8VcIU5IAhBChZ/un8NYvoPdouHYB2IN3C2adp44/rvojJ6eezPU51wdtv1aQ5wCEEKFl70p4Yyp0PQV+8i/joa8g+tumv7Gveh+vXPQKjhhHUPcdbHIGIIQIHfs3wevXQmovmPoOxKcFdfe7ynfxav6rXN7vcs7ofkZQ920FSQBCiNBwaAe8diXEJcO0dyEpI6i711rz4MoHSbAncMeIO4K6b6tIAhBCWK9iHyy8ArQPpr8LaVlBD+H9Xe+z9uBabh9xO+nx6UHfvxXkGoAQwlo1h4zGv74CZrwf1Hv9G1U0VPD4mscZmjGUK7OvDPr+rSIJQAhhnfpKeO0qKN8LU9+GnsMsCePp9U9T6arkd6N/F3E1/39I9PxSIURocdfBP68zqnteuxD6nG1JGBuLN7J422KmnjqVgZ0HWhKDVeQMQAgRfF43LJoBe76Cq14OWnXPljw+Dw+ufJBuCd24ZdgtlsRgJUkAQojg8vng3f8H2/8Dlz0Fp11tWSivb3mdbWXbeDr3aRIcwX3eIBRIF5AQIni0hg9/A9+8CRfcByN/ZlkoB2oO8NzG5xibOZZxvcdZFoeVJAEIIYJn2UOw5mU4axacc7uloTyy+hG01sw5cw4qiHWGQokkACFEcHz1Z/j8cRg+Ayb8IajF3Vr6rOAzlu5dyk1Db6JXUi/L4rCaJAAhROCtXwAfz4WcyUa/v4WNf2Oxt36p/ZgxaIZlcYQCuQgshAis/Hfh/V9D//Ew+SWwxVgazl//+1eKaop49aJXI77Y2/HIGYAQInB2fApv/RwyRxn3+gexrHOr4ZTtYH7+fCb1m8TI7iMtjSUUdDgBKKVilFIblFL/Nsf7KqVWKaV2KKXeUErFmtPjzPEd5vw+Hd23ECKE7V0Fb0yDjFPgp28EvaxzS43F3hJjE7ljZHQUezsef5wB/BrY0mz8UeAprXV/oAyYaU6fCZSZ058ylxNCRKID38I/roHkHjDt7aCXdW7NezvfY33xem4ffjudnZ2tDickdCgBKKUygUuBl81xBYwDFpuLzAeuMIcnmeOY8y9Q0XrvlRCRrHQnLJwMsUlGZc+krlZHRHl9OU+ufZJhGcOYnD3Z6nBCRkfPAJ4G7gZ85ng6UK619pjjhUDjPVa9gAIAc36FubwQIlJU7IMFV4D2GjX903pbHRHQrNjbmOgq9nY87f6TUEpdBhRrrdf5MR6UUjcqpdYqpdaWlJT4c9NCiECqKTWO/OvKYOpbkDHA6ogA2FC8gbe2v8X0QdMZ0Ck0YgoVHUmFZwOXK6V2A//C6Pp5BkhTSjXeXpoJ7DOH9wFZAOb8VKC05Ua11i9prUdqrUdmZAT3jUBCiHaqrzTe5lW+x7jg2/N0qyMCwO1z8+DKB+me2J2bh95sdTghp90JQGs9R2udqbXuA1wHLNNaTwHygMbqTjOA98zhJeY45vxlWmvd3v0LIUKEuw7++ROzrPMCy8o6t+b1za+zvWw7c0bNicpib8cTiM6we4A7lFI7MPr4/25O/zuQbk6/A5gdgH0LIYLJ64Y3b4A9X8Lkv8KAi6yOqMn+6v08/9/nyc3Kjdpib8fjlyeBtdbLgeXm8C5gVCvL1APX+GN/QogQ4PPBe7fCtg/h0icsLevcmkdWPwLAnFFzLI4kdMnlcCHEidMaPrwbNr0B434HZ/zc6oiOkLc3j2UFy7h56M30TOppdTghSxKAEOLE5T0Ma/4GZ/0Kzr3T6miOUOuu5U+r/0T/tP5MGzTN6nBCmhSDE0KcmK/+Aiseg+HTYcKDllb2bM2Lm15kf81+5k+cj8MW3cXejkfOAIQQbbd+IXz8Wxh0BVz2dMg1/tvLtrMwfyGT+09meLfhVocT8iQBCCHaZvN78P4s6DcOrvyb5WWdW/JpHw+tfIik2CRuH2Ht28bChSQAIcTxbXgNFs+EzDPgx69ZXta5Ne/tMIq93THiDjo5O1kdTliQawBCiGPzuuE/98Lql6DvWONBr9hEq6M6Sll9GU+ue5LhXYczqf8kq8MJG5IAhBCtqy6BN2cYD3mN+SWMfwBiQrPJeGrdU1S7qpk7eq4UezsBofm3KYSwVtFG+NcUqD1kvMZx6I+tjuiY1h9czzs73uGGwTeQ3Snb6nDCiiQAIcSRNi2CJb+ChC7ws49CprBbaxqLvfVI7MHNQ6TY24mSBCCEMHg98Ol98PVf4KSz4Zr5kBTaFXkXbl7IjvId/Hncn6XYWztIAhBCQO1hWHwD7FoOZ/wCJv4JYkL7Iaqi6iJe/O+LnJ91PrlZuVaHE5YkAQgR7Q58C//6KVTth8v/bDzhGwb+tPpPgBR76whJAEJEs/x34d3/B3EpcP0HkHWG1RG1ybK9y1hesJw7R9xJj6QeVocTtiQBCBGNfF6joNvnT0DmKPjxQkjubnVUbdK82NuUQVOsDiesSQIQItrUlcPbv4DtHxvdPZc8DvY4q6Nqsxf/+yIHag6w4OIFUuytgyQBCBFNSrYa/f1lu42XuIycGXIF3X7ItrJtLNi8gKuyr+L0rqF7e2q4kAQgRLT47gN4+0ZwOGHG+3DSWVZHdEJ82seDXz9ISmwKtw2/zepwIoI8My1EpPP5YPmj8K+fQHo/uHF52DX+AO/ueJeNJRu5Y+QdpDnTrA4nIsgZgBCRrKEK3rkZvvs3DLkOfvQ0OOKtjuqEHa4/zJPrnmREtxFM6ifF3vxFEoAQkap0p9Hff2g7THwEzrw5rPr7m3ty7ZPUuGqYe+ZcVJj+hlAkCUCISLT9E6N+v80G096Gk3Otjqjd1h5Yy3s732Pm4Jn079Tf6nAiilwDECKSaA2fPwmvXwNpWUZ//8m51sbUAWsOrOGO5XfQM7EnNw29yepwIo6cAQgRKVw18N6tkP8O5EyGSc+F5Mtb2kJrzRtb3+DR1Y+SmZzJs+OeJd4eftcuQp0kACEiQdluo37/wXwYfz+cfVvY9ve7vC7+uOqPvLX9Lc7LPI9Hzn2E5Nhkq8OKSJIAhAh3u5bDm9eD9sGUxZA93uqI2u1Q3SFuz7udjSUb+cVpv+DWYbcSE2Ivn48kkgCECFdaw8oX4OO50CUbrvuHcZ9/mMo/lM+svFlUNlTy2HmPMbHvRKtDiniSAIQIR+46eP822PQvOOUymPwixIVvN8n7O9/nga8fIN2ZzsJLFnJK51OsDikqSAIQItxUFBr9/fs3Qu69cN5vjNs9w5DX5+Xp9U8zL38eI7uN5IncJ+js7Gx1WFFDEoAQ4WTHp/D2TeBpgOv+CadcYnVE7VbRUMHdK+7mq6KvuG7gddw96m6p7hlk7U4ASqksYAHQDdDAS1rrZ5RSnYE3gD7AbuBarXWZMh7fewa4BKgFrtdar+9Y+EJEidKdRl//1g8gPRuuex0yBlodVbvtLN/JrGWzKKop4r4x93H1gKutDinTjwXOAAAV1ElEQVQqdeQMwAPcqbVer5RKBtYppT4BrgeWaq0fUUrNBmYD9wAXA9nm50zgBfNbCHEs9ZWw4jHjYq89zrjFc/QtYVW/v6W8vXnM/nw28fZ4XrnoFSnrbKF2JwCt9X5gvzlcpZTaAvQCJgG55mLzgeUYCWASsEBrrYGVSqk0pVQPcztCiOZ8Ptj4Oix9AGpKYNgUuOD3YfPWrtZorXlp00v8ZeNfGJQ+iGfOf4buieH7eyKBX64BKKX6AKcDq4BuzRr1AxhdRGAkh4JmqxWa045IAEqpG4EbAXr37u2P8IQIL3u+ho/ugf3/NV7X+NM3oNcIq6PqkFp3LXO/nMsnez7hspMv474x9+G0O60OK+p1OAEopZKAt4DbtNaVzSv1aa21UkqfyPa01i8BLwGMHDnyhNYVIqyVF8Cn98G3b0FyT7jyZTjt6rB9ordRYVUhs/JmsbN8J3eNvIvpg6ZLRc8Q0aEEoJRyYDT+r2ut3zYnH2zs2lFK9QCKzen7gKxmq2ea04SIbq5a+PIZ44OG8+6Gc24L2zo+za3av4q7PrsLr/by/AXPc3avs60OSTTTkbuAFPB3YIvW+slms5YAM4BHzO/3mk3/pVLqXxgXfyuk/19ENa2No/1P7oPKQqOA24Q/QFr4d31qrfnHd//gsTWPcVLKSfx53J/pnRL+vyvSdOQM4GxgGvCNUmqjOe1ejIZ/kVJqJrAHuNac9wHGLaA7MG4DvaED+xYivBVtgA9nQ8FK6H4aXPkS9ImMo2OX18VDKx/inR3vkJuVy5/O+RNJsUlWhyVa0ZG7gL4AjtWRd0Ery2vg1vbuT4iIUHUQlv0BNrwOCenwo2fg9GkQIQXPSmpLuG35bWwq2cRNQ27ilmG3YFPh+ZRyNJAngYUIBk8DrHoRPnsMPHUw5lYYezc4U62OzG++KfmG2/Juo8pdxRNjn+DCPhdaHZI4DkkAQgSS1rDtI/jPvXB4F2RfBBc9bFTvjCBLdi7hga8eICMhg4XjFzKwc/g+pRxNJAEIESjFW+CjObArD7oMgClvhXWt/tZ4fB6eXPckCzcvZFT3UTw+9nE6OTtZHZZoI0kAQvhb7WFY/giseRnikmDiI3DGzyEmsgqdVTRUcNdnd7Fy/0qmnDqFO0feKcXcwowkACH8xeuBda9C3sNQXwEjboDzfwuJ6VZH5nfby7Yza9ksDtYe5A9n/YHJ2ZOtDkm0gyQAIfxh13Ljts6SLdDnXOOov/tgq6MKiKV7ljLnizkkOhJ5deKrDM0YanVIop0kAQjREYd3wce/g+/+bTzAde1COPVHYV++oTU+7eOv//0rz//3eU7rchpP5T5Ft8Rux19RhCxJAEK0R0MVrHgcVj4PNodRqXP0reCIzAJnO8t38sz6Z8gryOPyfpfz+zG/Jy4mfEtSC4MkACFORMlWWL8A/vtPqC2FoT+BC+6DlB5WR+Z3Lq+LT/d8yqJti1h3cB0Om4PfjPwN0wZNk2JuEUISgBDH01AF+e/A+oVQuBpsdhh4MZx9G2SOtDo6vyuoLODN7W/y7vZ3KWsoIys5i9tH3M6kfpNIj4+8C9rRTBKAEK3RGgpWw4YF8O074K6BLgPhwodgyHWQlGF1hH7l9rlZUbCCRdsW8VXRV8SoGM7POp9rBl7D6B6jpZxDhJIEIERz1SVG986G1+DQVnAkwuArYfh0yDwj4i7uHqg5wOJti3ln+zsU1xXTLaEbtw67lSuzr6RrQlerwxMBJglACK8Hdi41+va3fQQ+D2SdCZf/xSjRHBdZlSy9Pi9fFn3Jm1vfZMW+FWitOafXOfxu4O84p9c52G3SLFjJ59Mcqm7AqzU9UuMDui/5mxbR6/Au40h/4z+gaj8kdIEzbzaO9jMir5bNobpDvLP9HRZvW0xRTRHpznRmDp7JVQOuoldSL6vDixouj48DFfUUlteyr6yOfeV1Td9F5XUUldfj8vq4fGhPnv3J6QGNRRKAiC7uOti8BDYshN2fg7JB//Fw8f/AgIlgj7U6Qr/SWrP6wGoWbV3Esr3L8GgPZ3Y/kztG3sG4rHE4Iqw8RSiobvBQZDbqhc0a931ltewrr6O4qgHd4mW3XZPj6NUpnsG9UrlocHcy0+IZ1DMl4LFKAhDRoWij0ehvehMaKqBTHxg3F4ZNgZSeVkfnd+X15by38z0Wb1vM7srdpMal8tNTf8o1A66hT2ofq8MLW1prSmtc7Cszjtb3lddR2OIovqLOfcQ6jhhFz7R4eqbGc252Br3S4unVKZ5M87t7qpM4uzXvg5AEICJX7WH45k2j4T/wDdidcOrlMHwanHQO2CLrzhatNRtLNrJo6yI+3v0xLp+L07uezo1DbuTCPhfKg1ttUN3g4UBFvfGprOdAxZGNfFF5HfVu3xHrJMXZmxr1ESd1oqc53CstnsxO8WQkxWGzhebNA5IARGTx+WD3CuOe/S3vg7cBegyFSx6H066B+DSrI/S7KlcV/971bxZtXcSO8h0kOhK5MvtKrhl4DQM6DbA6vJCgtaas1s3+ijoOVtazv6KegxXGt9HQG5+qBs9R63ZJiqVXWjyndE/mglO6mo19Aj3TnGSmJZASbw/bB+MkAYjIUFFoXMzd8BqU7zHetDVihvG6xR5DrI4uIPJL83lz65t88H8fUOep49TOp3L/mPu5uO/FJDgSrA4vaDxeHyXVDS2O3Fs07pX1uDxHHrnbFHRNdtIt1Um/jCTO7t+F7qlOeqQ66Z7ipHuqk24pTpyOyHhdZ2skAYjw1VANOz41unh2LAU09B1r1OU55bKIrMtTXl/OsoJlLNq6iPzSfJwxTi45+RKuHXAtOV1yrA7P72oaPBRXNXCwsr7pyL2xod9faRzFF1fV42txUTXWbmtqxIdlpRmNerOGvUdqPF2SYrHHRFY34ImSBCDCR3Ux7F1pfr6C/ZtAeyGlF5z3Gzh9inFxN0JUuirZXLqZ/EP55Jfms7l0M/uq9wHQP60/c0bN4bJ+l5ESG/i7RfzJ69OUVjdQXNVASXUDJZXmd1UDxVX15rcxXuvyHrV+cpzdaMxTnQzo2oUeqcZRfA/ziL1HajydEhxh2y0TTJIARGjSGkp3wt6vzQb/azi805hnd0KvkXDO7dDnHOh7HtjC+zS9xl3D5tLNRzT4e6v2Ns3PTMpkcJfBXDvwWoZ3Hc7QjKEh18BVN3goqWq9IW8+fLim4agjdoBkp52uyXFkJMcxJDOtabhrchxdk51NjX5SnDRb/iJ/kiI0eN3GEf3er79v9GsPGfPiO0PvMTDieuO7x9Cwvl+/1l3L1rKtTQ19fmk+uyt2ozFaxR6JPchJz2Fy9mQGpQ9iUOdBpDmtuXhd6/JQWu3icI3xad64l1Q3UNzs6L21o3W7TZFhNuS90pwMy0olIymOjBSn8W028BnJcRHd1x6qJAEIazRUQeGa74/uC9eCu9aY16kPZE+A3qONBj89O2xv2az31LOtbJvR0JsN/q6KXfi0cUGya3xXBnUZxCV9LyEnPYdB6YMCVnFTa011g4fDNS5Ka1wcNhv20hoXh2saKK1uHG6c3nDULY+NUpx2upqN+NBmR+sZ5tF643BavCNkb4EUkgBEsFQdOLI758A3oH3Gk7jdTzPKL/QeDVmjw7a2vsvrYnv5dvIPGf31+aX57CjbgUcbtxZ2dnYmJz2H8SeNb2rsO1JwTWtNZZ2H0pqGZg252XhXm41607CLw7Wuo+6EaeR02EhPjCM9KZb0pFiyuyWRnhhL58Q48zuWzkmxdE2Oo0uSHK1HCkkAwv+0hkPbjmzwy3Yb8xwJRg39835jNPiZZ0BcsqXhtofb52Zn+c4junG2l23H7TOeAk2LSyMnPYdzB59LTpccctJz6JbQrdV+e601dW4v5bVu41PnorKucdj4rqhzNc0vqzUa9LJaF25vK53pQGJsDJ2TjAa8e6qTnJ4pdE6KPbpRTzQa/IRYaQqikfyti47zNDTrvzcb/LrDxryELnDSGBh1o9Hgdx8CIVx/xqd9lDeUU1JbQnFtMSV15ndtCcV1xndJbQml9aV4tdHnnexIZlCXQUw9dRonp5xCz/j+xNGFijoP5XVuiva52Ly9ivK6w02NeUWzBr6i1o3L2/qRORilBNISYkmLd5CW4CCzUwJDM9OaNeixpCcd2ajLEbpoC0kA4vgaqqGiAMoLoGKv+V1gPHxVXmBU0jQvYNK5Hwy8pFn/fb+QqKGvtabSVXlkQ96icS+uKeFQXUlTl01z8TEpJNg6E6vSiNODyFQpKG93vHWZ1NSksHaHl6V1brT2AdvMz5ESY2NIS4glNd5BaryD/l2TSEtwkBofS1qCo6mBT403lklLMD7xjpiQu+NHRAZJANFOa+PdtuV7mzXyzRr7ikKoKztyHZsDUntBahb0Ox9SM6FbjtHgJwX/JSJVDdXsqdhPQeUB9lUdZH91McW1xZTWl1DWUEql+xA1njK8uI5aV/niwZuC152C19UDn2cg2pOM9qTg86Sg3SlobzJV2vivEmu3keK0kxRnJzXeQaeEWPp3cjQ14KnNjtRTWzTosfbwvJAdyrTPB16v8e3xHDGuPR6jNEiLce31Gt8eL/i8rYz7jO82jGufF1oZ1z4vtDreGI853ev9Pn5vYyzGPhJGDCd95syA/vkFPQEopSYCzwAxwMta60eCHUNU8Xqgquj7o/XmR/Dl5lG8p+7IdWKTjMY9LQsyRxnfqVnfT0vq1q777n0+o6+7xuWhsq6O0roqyuqqKKuvoqK+mkpXNVUNNVS5aqhx11DrqaHOXUudtxaXr5YGXx1uXz0eXYeXenyqHq3qwHZ0w659sWi32Yh7eqA9A4klDadKI9GeTrIjnU5xnUl1JpEUZ29q1JOddpKdDpKcxnCK09E0PclpD0jVRq31UY1XU2NwnPHGxqvleNOyR437vm/EvJ4fHNdez/eNV5vGjx/vUfEftwE9dgOP5+gztZBjs0FMDMpmQ8XENA0TE3PccW+/kwMeXlATgFIqBngOmAAUAmuUUku01puDGUdY0troa3fXgqvG+LhrwFX7/XB9pdGgNz+SrywynpZtLqELpGWhu56Kr/+FuJN70ZDYk5r4blQ6M6jESY27gVp3A7VuF7XueuqqXdSVV1K/cz31bhd1ngYaPC4avG4avA3Uu2upd9fgctfidtfg8dbh9dWhvfVoXY/yNaCoJwY3NtVADD5sPojxgU2D7ahvjU1DotdGii8Wm8+BXccS67PjIJZY4oklhThiSbIlkhSTQJI9kZSYBFIdiSTZY4mzQZzSOJQm1oZ5lOeBhhK078AJNWI1Ph817WnEWttmi8bsqOLwoUYpsNu/b6iaNWbE2FC24zdmzcdVbKw5bqz7/fzGcRsqxn7kuC0GZY8BWwwqxgYxduP7mOPmNps3vD8wbgy3XLej47aQ77oL9hnAKGCH1noXgFLqX8AkwK8JwKd9uH1utNb4tA+NNobxoXWL4cZ52mcs6/Hi87mN/9geLz6vMezzepqOsI4YdrvRXg8+jxuf14PP7cbjqsPbUIu3vhavqx6vqxZfQz0+dz0+dwO68eNxoz0u8LiMI3Xzo70elNcD2ocyTwmVzwfabCt86vthbQxjXkPUWuHVMXi1DZ+2oXUW2mdMRwNam41sKTbfIWx6PTFaNzW4TY2wDxI0JGmzkW7WQMe0bLB9ELjODR/QviM9DdSbn6A0YjYb2GOOaLSOGjcbt8bGquV403fzxq618TY0ck2/r8W4EeeRfxY/OB7ijZhov2AngF5AQbPxQuBMf+9k+VvP4n3qr60eWR7RmLUyfqIaG77A3XOhaP7X5LEZ7b/vqG+FT4HXpvAphVbKmGYDrWxom0LbbPhsNjCHscegmzVM2haD125H22Lw2WOwxdix2e1ou52YGDs4HNjsDpTDQYzDgcPuIMYRiy3GjsMRR6zDicMR1+JoqANHas0aoZbj0ogJ0XEhdxFYKXUjcCNA796927WNLp2zONApFo9SRsOnMBo9cxyFOV01TT/i26agcVmbrdl8G8QY87DZQNnQMTZz3Jxms0GMA22PRdudKIfTqErpiAdHAjZnIjgSiIlNQMUl4YhzYjcbU0dsLLGOWBwO8zvWgTPOSWxsHLGxsThjHcTYFA6bTZ6uFEJ0WLATwD4gq9l4pjmtidb6JeAlgJEjR7arc3TIuKsYMu6q9sYohBBRIdj3pa0BspVSfZVSscB1wJIgxyCEEIIgnwForT1KqV8C/8HoNn9Fa50fzBiEEEIYgn4NQGv9AfBBsPcrhBDiSPJoohBCRClJAEIIEaUkAQghRJSSBCCEEFFKEoAQQkQppUO4EJVSqgTY04FNdAEO+SmccBBtvxfkN0cL+c0n5iStdcbxFgrpBNBRSqm1WuuRVscRLNH2e0F+c7SQ3xwY0gUkhBBRShKAEEJEqUhPAC9ZHUCQRdvvBfnN0UJ+cwBE9DUAIYQQxxbpZwBCCCGOISITgFJqolJqq1Jqh1JqttXxBJpSKksplaeU2qyUyldK/drqmIJFKRWjlNqglPq31bEEg1IqTSm1WCn1nVJqi1JqjNUxBZpS6nbz3/W3Sql/KqWcVsfkb0qpV5RSxUqpb5tN66yU+kQptd387uTv/UZcAmj24vmLgUHAT5RSg6yNKuA8wJ1a60HAaODWKPjNjX4NbLE6iCB6BvhIa30KMJQI/+1KqV7ALGCk1nowRhn566yNKiDmARNbTJsNLNVaZwNLzXG/irgEQLMXz2utXUDji+cjltZ6v9Z6vTlchdEo9LI2qsBTSmUClwIvWx1LMCilUoHzgL8DaK1dWutya6MKCjsQr5SyAwlAkcXx+J3WegVwuMXkScB8c3g+cIW/9xuJCaC1F89HfGPYSCnVBzgdWGVtJEHxNHA34LM6kCDpC5QAr5rdXi8rpRKtDiqQtNb7gMeBvcB+oEJr/bG1UQVNN631fnP4ANDN3zuIxAQQtZRSScBbwG1a60qr4wkkpdRlQLHWep3VsQSRHRgOvKC1Ph2oIQDdAqHE7PeehJH8egKJSqmp1kYVfNq4XdPvt2xGYgI47ovnI5FSyoHR+L+utX7b6niC4GzgcqXUboxuvnFKqdesDSngCoFCrXXj2d1ijIQQycYD/6e1LtFau4G3gbMsjilYDiqlegCY38X+3kEkJoCoe/G8Ukph9Atv0Vo/aXU8waC1nqO1ztRa98H4O16mtY7oI0Ot9QGgQCk10Jx0AbDZwpCCYS8wWimVYP47v4AIv/DdzBJghjk8A3jP3zsI+juBAy1KXzx/NjAN+EYptdGcdq/5/mURWX4FvG4e3OwCbrA4noDSWq9SSi0G1mPc7baBCHwqWCn1TyAX6KKUKgTuAx4BFimlZmJURb7W7/uVJ4GFECI6RWIXkBBCiDaQBCCEEFFKEoAQQkQpSQBCCBGlJAEIIUSUkgQghBBRShKAEEJEKUkAQggRpf4/PLJugakBYAkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 11\n",
    "x = np.linspace(0, 10, N)\n",
    "plt.plot(x, x**2, x, x**3, x, 2**x, x, 2*x)\n",
    "plt.legend(['x**2', 'x**3', 'x**2', '2*x'], loc='upper center')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 11\n",
    "x = np.linspace(0, 10, N)\n",
    "plt.plot(x, x**3, '.-', color='k', label='x**3')\n",
    "plt.plot(x, 2**x, '--', color='r', label='2**x')\n",
    "# Couleurs : r g b c m y k w\n",
    "# Styles : '-'  '--'  '.-'  '-.'  ':'\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "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": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
