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b/module3/exo3/Untitled.ipynb @@ -0,0 +1,353 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sujet 7 : Autour du SARS-CoV-2 (Covid-19)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Le but est ici de reproduire des graphes semblables à ceux du South\n", + " China Morning Post (SCMP)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import scipy as sp\n", + "from mpl_toolkits import mplot3d\n", + "\n", + "\n", + "fig = plt.figure()\n", + " \n", + "b=[ 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,8,13,23,50,109,169,200,239,267,314,314,559,689,886,1058,1243,1486,1795,2257,2815,3401,3743,4269,4937,6235,7284,9134,10836,11899,12775,13964,15348,16770,18431,19691,20814,22194,23403,24983,26667,28018,29647,30589,31119,33573,34809,36138,37183,38496,39983,40956,41889,42797,44293,45325,46134,46687,47334,47859,48519,49032,49517,49906,50267,50509,50781,51420,52011,52596,53081,53449,53779,53981,54288,54644,54989,55280,55559,55791,55983,56235,56511,56810,57092,57342,57455,57592,57849,58061,58186,58381,58517,58615,58685,58767,58907,59072,59226,59348,59437,59569,59711,59819,59918,60029,60100,60155,60244,60348,60476,60550,60550,60550,60810,60898,61007,61106,61209,61295,61361,61427,61509,61598,61727,61838,62016,62058,62058,62123,62210,62357,62469,62707,62707,62781,62872,63238,63499,63706,63706,64094,64258,64627,64847,65199,65727,66026,66428,66662,67335,68006,68751,69402,69849,70314,70648,71158,72016,72784,73401,74152,74620,75008,75647,76191,77113,77869,78323,78534,78897,79479,80178,80894,81468,81936,82092,82447,83030,83500,83952,84599,85042,85236,85487,85911,86544,87174,87825,88367,88769,89141,89691,90568,91537,92478,93455,94306,94795,95948,97976,99649,100748,102295,103392,105226,106887,108768,110976,112803,114179,115353,117115,118452,121059,124234,127623,130235,132203,134291,137868,143596,148981,156931,162258,165880,173240,181511,191959,202151,213115,222253,230480,240159,253386,270132,287700,305409,321031,333718,347289,368337,392258,412314,429229,441018,447355,452541,468213,479341,488044,494168,500789,503182,507475]\n", + "c1=[1,9,15,39,60,70,106,152,200,237,297,340,408,480,530,591,665,733,779,830,860,889,910,934,950,962,973,982,986,987,988,989,989,989,989,989,989,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,992]\n", + "f=[ 0,0,2,3,3,3,4,5,5,5,6,6,6,6,6,6,6,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,14,18,38,57,100,130,191,204,285,377,653,949,1126,1209,1784,2281,2281,3661,4469,4499,6633,7652,9043,10871,12612,14282,16018,19856,22304,25233,29155,32964,37575,40174,44550,52128,56989,59105,64338,68605,70478,74390,78167,82048,86334,90676,93790,120633,124298,129257,132473,144944,146923,146906,151808,154188,156921,154715,157026,158636,160292,160847,164589,167605,165093,165764,165764,166976,167272,167886,168935,172465,173040,174318,174758,175027,175479,176207,175981,176712,177319,177207,177240,177554,178428,179069,179306,179645,179964,179859,180166,179887,180044,183309,183816,185616,185851,185952,185112,185440,186118,186670,187199,187492,187590,187925,188322,188680,189244,189637,189928,189996,190223,190534,190735,191304,191740,191745,192070,192452,192265,192010,193346,193152,192429,194109,194373,194985,195458,195904,195546,195535,196748,197089,196796,197964,198450,198199,198183,199571,199509,200338,200739,201448,201285,201281,203242,203696,204641,205476,206418,206334,206334,208665,209342,209211,210465,213093,213031,213028,212884,216193,216106,218763,222477,222408,222402,226384,226313,230874,230778,236114,239345,239306,242650,242592,242538,242413,257333,260873,265550,267392,270455,275640,281603,288655,288531,299320,302175,306951,313730,320656,329512,329353,329246,348982,355244,363751,372501,381907,381907,381907,404564,412360,421861,431966,444978,444978,444978,473974,483956,483956,511757,527554,527554,527554,552832,564690,576907,589825,601971,601971,601971,636196,646531,664178,682192,702148,702148,702148,745104,766421,788117,818707,843475,843471,843471,918679,939147,965451,1007026,1048842,1048842,1048842,1172754,1206014,1240862,1288478,1337693,1373036,1419326,1471091,1507078,1547831,1605171,1665403,1665403,1790817,1810653,1810653]\n", + "g=[0,0,0,0,0,1,4,4,4,5,8,10,12,12,12,12,13,13,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,27,46,48,79,130,159,196,262,482,670,799,1040,1176,1457,1908,2078,3675,4585,5795,7272,9257,12327,15320,19848,22213,24873,29056,32986,37323,43938,50871,57695,62095,66885,71808,77872,84794,91159,96092,100123,103374,107663,113296,118181,122171,124908,127854,130072,131359,134753,137698,141397,143342,145184,147065,148291,150648,153129,154999,156513,157770,158758,159912,161539,163009,164077,164967,165664,166152,167007,168162,169430,170588,171324,171879,172576,173171,174098,174478,175233,175752,176369,176551,177778,178473,179021,179710,179986,180328,180600,181200,181524,182196,182922,183189,183410,183594,183879,184121,184472,184924,185450,185750,186109,186506,186522,186691,187226,187267,187518,187682,188252,188604,189817,190299,190670,191272,191768,192480,192871,193371,194036,194458,194693,195042,195418,195893,196370,196780,197198,197523,198064,198343,198699,199001,199332,199709,199919,200180,200456,200890,201450,202045,202426,202735,203325,203717,204276,204881,205623,206278,206667,207112,207707,208546,209535,210399,211005,211220,212111,212828,214113,215039,216196,216903,217288,218508,219540,220859,222281,223791,224488,225007,226700,228120,229706,231292,233029,233861,234494,236122,237583,239010,240571,242126,242835,243305,244802,246015,247411,248840,250283,251058,251728,253626,254957,256433,258149,259735,260817,261737,263222,265014,266869,269048,271247,272932,273965,275560,277412,279025,281346,283712,285026,286339,288631,290471,292913,295539,298374,300027,301573,304673,307127,311137,315941,320495,323463,326309,332850,337314,344487,352107,359802,364664,368671,377068,385591,397922,403874,417350,427808,437698,450258,463419,479621,498354,517736,531790,544346,569598,577131,608611,631172,653992,668114,682624,689146,715693]\n", + "i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,18,28,43,61,95,139,245,388,593,978,1501,2336,2922,3513,4747,5823,6566,7161,8042,9000,10075,11364,12729,13938,14991,16169,17361,18407,19644,20610,21638,23049,24811,27017,29406,32332,35408,38309,41495,44605,47593,50468,53183,55743,58226,60500,62589,64586,66220,68192,70029,71686,73303,74877,76389,77995,79494,80868,82211,83505,84802,85996,87026,88194,89328,90481,91472,92584,93657,94640,95646,96448,97424,98647,99970,101650,103135,104691,106220,107603,109286,110767,112725,114533,116635,118392,120198,122492,124603,126949,129341,131652,133521,135701,137724,139511,141591,143849,146668,148950,151466,154445,157562,160696,164270,167156,169425,171789,173832,175927,177938,180156,182525,184955,187427,189876,192439,195051,197647,200262,202584,204952,207525,209970,212501,215096,217724,220180,222669,225205,227662,230211,232863,235429,237878,240438,243051,245688,248379,250458,252720,255117,257303,259652,262173,264561,267061,269440,271606,273788,276202,278827,281413,284034,286523,288839,291172,293606,296273,298909,301530,304204,306752,309437,312035,314786,317483,320117,322567,324692,326712,328844,331189,333699,336324,338825,341070,343203,345450,347835,350279,352558,354764,356792,358905,361150,363363,365606,367796,369911,371816,373570,375212,376894,378752,380746,382772,384666,386658,388810,391112,393425,395488,397801,399940,402029,404648,407353,410334,413149,416198,419043,422140,425481,429193,432798,436319,439882,443086,446448,449960,453637,457219,461044,464596,468119,471772,475674,479825,483844,488236,492378,496253,500075,504281,508389,513219,517835,522387,526490,530380,534631,539670,545286,550757,556891,562705,568896,574856,581824,588648,596941,604952,612772,620491,628780,637712,646164,654936,663800,673250,682486,692949,703288]\n", + "uk=[0,0,0,0,0,0,0,0,0,2,2,2,8,8,9,9,9,13,14,14,15,16,17,18,18,18,19,19,20,22,23,23,28,30,34,37,44,56,61,94,134,189,245,294,373,428,482,629,887,1298,1787,2266,2630,3072,3684,4452,5451,6506,7760,8957,10333,12668,15039,17732,20816,24017,26839,29696,33969,38484,43398,48263,53178,57198,60792,66067,71517,76646,81498,85813,89390,92885,97068,101393,106458,111756,116721,121437,125289,130147,134907,140397,145540,150513,154261,157729,162431,167152,172587,177543,182270,185491,188465,191843,195527,199358,203125,206174,208324,210645,214228,217617,220915,223524,226041,228106,229932,232506,235547,238253,240795,242825,244332,245680,247287,248937,250739,252473,253977,255076,256145,257579,259046,260388,261622,262727,263518,264235,265321,266474,267656,268657,269710,270597,271404,272430,273507,274504,275524,276504,277170,277792,278684,279566,280340,281037,281675,282308,282703,283307,283710,283770,283774,284276,284900,285416,285768,286349,286979,287621,288133,288953,289603,290133,291373,291911,292552,293239,294066,294792,295372,295817,296377,297146,297914,298681,299426,300111,300658,301455,302301,303181,303942,304685,305623,306293,307184,308134,309005,309763,310825,311641,312789,313798,314927,316367,317379,318484,319197,320286,321098,322280,323313,324601,325642,326614,327798,328846,330368,331644,332752,334467,335873,337168,338676,340411,342351,344164,347152,350100,352560,355219,358138,361677,365174,368504,371125,374228,378219,381614,385936,390358,394257,398625,403551,409729,416363,423236,429277,434969,439013,446156,453264,460178,467146,480017,502978,515571,530113,544275,561815,575679,590844,603716,617688,634920,654644,673622,689257,705428,722409,741212,762542,789229,810467,830998,854010,873800,894690,917575,942275,965340,989745,1011660,1034914,1053864,1073882,1099059,1123197,1146484,1171441,1192013,1213363,1233775]\n", + "\n", + "x=np.linspace(0,294,294)\n", + "\n", + "\n", + "\n", + "# Couleur spécifiée par son nom, ligne solide\n", + "plt.plot( x ,b , color='blue', linestyle='solid', label='Belgium') \n", + "plt.plot( x,c1, linestyle='dashed', label='Anhui,China')\n", + "plt.plot( x,f, linestyle='dashed', label='France')\n", + "plt.plot( x,g, linestyle='dashed', label='Germany')\n", + "plt.plot( x,i, linestyle='dashed', label='Iran')\n", + "plt.plot( x,uk, linestyle='dashed', label='United Kingdom')\n", + " \n", + "\n", + " \n", + "plt.legend()\n", + "plt.title(\" L’évolution du nombre de cas cumulé au cours du temps\")\n", + "plt.xlabel('Nombre de jours')\n", + "plt.ylabel('Nombre de cas')\n", + "plt.savefig('L’évolution du nombre de cas cumulé au cours du temps.pdf') \n", + "plt.show()\n", + " \n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ici le shéma est avec une échelle logarithmique:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import scipy as sp\n", + "from mpl_toolkits import mplot3d\n", + "\n", + "\n", + "fig = plt.figure()\n", + " \n", + "b=[ 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,8,13,23,50,109,169,200,239,267,314,314,559,689,886,1058,1243,1486,1795,2257,2815,3401,3743,4269,4937,6235,7284,9134,10836,11899,12775,13964,15348,16770,18431,19691,20814,22194,23403,24983,26667,28018,29647,30589,31119,33573,34809,36138,37183,38496,39983,40956,41889,42797,44293,45325,46134,46687,47334,47859,48519,49032,49517,49906,50267,50509,50781,51420,52011,52596,53081,53449,53779,53981,54288,54644,54989,55280,55559,55791,55983,56235,56511,56810,57092,57342,57455,57592,57849,58061,58186,58381,58517,58615,58685,58767,58907,59072,59226,59348,59437,59569,59711,59819,59918,60029,60100,60155,60244,60348,60476,60550,60550,60550,60810,60898,61007,61106,61209,61295,61361,61427,61509,61598,61727,61838,62016,62058,62058,62123,62210,62357,62469,62707,62707,62781,62872,63238,63499,63706,63706,64094,64258,64627,64847,65199,65727,66026,66428,66662,67335,68006,68751,69402,69849,70314,70648,71158,72016,72784,73401,74152,74620,75008,75647,76191,77113,77869,78323,78534,78897,79479,80178,80894,81468,81936,82092,82447,83030,83500,83952,84599,85042,85236,85487,85911,86544,87174,87825,88367,88769,89141,89691,90568,91537,92478,93455,94306,94795,95948,97976,99649,100748,102295,103392,105226,106887,108768,110976,112803,114179,115353,117115,118452,121059,124234,127623,130235,132203,134291,137868,143596,148981,156931,162258,165880,173240,181511,191959,202151,213115,222253,230480,240159,253386,270132,287700,305409,321031,333718,347289,368337,392258,412314,429229,441018,447355,452541,468213,479341,488044,494168,500789,503182,507475]\n", + "c1=[1,9,15,39,60,70,106,152,200,237,297,340,408,480,530,591,665,733,779,830,860,889,910,934,950,962,973,982,986,987,988,989,989,989,989,989,989,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,992]\n", + "f=[ 0,0,2,3,3,3,4,5,5,5,6,6,6,6,6,6,6,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,14,18,38,57,100,130,191,204,285,377,653,949,1126,1209,1784,2281,2281,3661,4469,4499,6633,7652,9043,10871,12612,14282,16018,19856,22304,25233,29155,32964,37575,40174,44550,52128,56989,59105,64338,68605,70478,74390,78167,82048,86334,90676,93790,120633,124298,129257,132473,144944,146923,146906,151808,154188,156921,154715,157026,158636,160292,160847,164589,167605,165093,165764,165764,166976,167272,167886,168935,172465,173040,174318,174758,175027,175479,176207,175981,176712,177319,177207,177240,177554,178428,179069,179306,179645,179964,179859,180166,179887,180044,183309,183816,185616,185851,185952,185112,185440,186118,186670,187199,187492,187590,187925,188322,188680,189244,189637,189928,189996,190223,190534,190735,191304,191740,191745,192070,192452,192265,192010,193346,193152,192429,194109,194373,194985,195458,195904,195546,195535,196748,197089,196796,197964,198450,198199,198183,199571,199509,200338,200739,201448,201285,201281,203242,203696,204641,205476,206418,206334,206334,208665,209342,209211,210465,213093,213031,213028,212884,216193,216106,218763,222477,222408,222402,226384,226313,230874,230778,236114,239345,239306,242650,242592,242538,242413,257333,260873,265550,267392,270455,275640,281603,288655,288531,299320,302175,306951,313730,320656,329512,329353,329246,348982,355244,363751,372501,381907,381907,381907,404564,412360,421861,431966,444978,444978,444978,473974,483956,483956,511757,527554,527554,527554,552832,564690,576907,589825,601971,601971,601971,636196,646531,664178,682192,702148,702148,702148,745104,766421,788117,818707,843475,843471,843471,918679,939147,965451,1007026,1048842,1048842,1048842,1172754,1206014,1240862,1288478,1337693,1373036,1419326,1471091,1507078,1547831,1605171,1665403,1665403,1790817,1810653,1810653]\n", + "g=[0,0,0,0,0,1,4,4,4,5,8,10,12,12,12,12,13,13,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,27,46,48,79,130,159,196,262,482,670,799,1040,1176,1457,1908,2078,3675,4585,5795,7272,9257,12327,15320,19848,22213,24873,29056,32986,37323,43938,50871,57695,62095,66885,71808,77872,84794,91159,96092,100123,103374,107663,113296,118181,122171,124908,127854,130072,131359,134753,137698,141397,143342,145184,147065,148291,150648,153129,154999,156513,157770,158758,159912,161539,163009,164077,164967,165664,166152,167007,168162,169430,170588,171324,171879,172576,173171,174098,174478,175233,175752,176369,176551,177778,178473,179021,179710,179986,180328,180600,181200,181524,182196,182922,183189,183410,183594,183879,184121,184472,184924,185450,185750,186109,186506,186522,186691,187226,187267,187518,187682,188252,188604,189817,190299,190670,191272,191768,192480,192871,193371,194036,194458,194693,195042,195418,195893,196370,196780,197198,197523,198064,198343,198699,199001,199332,199709,199919,200180,200456,200890,201450,202045,202426,202735,203325,203717,204276,204881,205623,206278,206667,207112,207707,208546,209535,210399,211005,211220,212111,212828,214113,215039,216196,216903,217288,218508,219540,220859,222281,223791,224488,225007,226700,228120,229706,231292,233029,233861,234494,236122,237583,239010,240571,242126,242835,243305,244802,246015,247411,248840,250283,251058,251728,253626,254957,256433,258149,259735,260817,261737,263222,265014,266869,269048,271247,272932,273965,275560,277412,279025,281346,283712,285026,286339,288631,290471,292913,295539,298374,300027,301573,304673,307127,311137,315941,320495,323463,326309,332850,337314,344487,352107,359802,364664,368671,377068,385591,397922,403874,417350,427808,437698,450258,463419,479621,498354,517736,531790,544346,569598,577131,608611,631172,653992,668114,682624,689146,715693]\n", + "i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,18,28,43,61,95,139,245,388,593,978,1501,2336,2922,3513,4747,5823,6566,7161,8042,9000,10075,11364,12729,13938,14991,16169,17361,18407,19644,20610,21638,23049,24811,27017,29406,32332,35408,38309,41495,44605,47593,50468,53183,55743,58226,60500,62589,64586,66220,68192,70029,71686,73303,74877,76389,77995,79494,80868,82211,83505,84802,85996,87026,88194,89328,90481,91472,92584,93657,94640,95646,96448,97424,98647,99970,101650,103135,104691,106220,107603,109286,110767,112725,114533,116635,118392,120198,122492,124603,126949,129341,131652,133521,135701,137724,139511,141591,143849,146668,148950,151466,154445,157562,160696,164270,167156,169425,171789,173832,175927,177938,180156,182525,184955,187427,189876,192439,195051,197647,200262,202584,204952,207525,209970,212501,215096,217724,220180,222669,225205,227662,230211,232863,235429,237878,240438,243051,245688,248379,250458,252720,255117,257303,259652,262173,264561,267061,269440,271606,273788,276202,278827,281413,284034,286523,288839,291172,293606,296273,298909,301530,304204,306752,309437,312035,314786,317483,320117,322567,324692,326712,328844,331189,333699,336324,338825,341070,343203,345450,347835,350279,352558,354764,356792,358905,361150,363363,365606,367796,369911,371816,373570,375212,376894,378752,380746,382772,384666,386658,388810,391112,393425,395488,397801,399940,402029,404648,407353,410334,413149,416198,419043,422140,425481,429193,432798,436319,439882,443086,446448,449960,453637,457219,461044,464596,468119,471772,475674,479825,483844,488236,492378,496253,500075,504281,508389,513219,517835,522387,526490,530380,534631,539670,545286,550757,556891,562705,568896,574856,581824,588648,596941,604952,612772,620491,628780,637712,646164,654936,663800,673250,682486,692949,703288]\n", + "uk=[0,0,0,0,0,0,0,0,0,2,2,2,8,8,9,9,9,13,14,14,15,16,17,18,18,18,19,19,20,22,23,23,28,30,34,37,44,56,61,94,134,189,245,294,373,428,482,629,887,1298,1787,2266,2630,3072,3684,4452,5451,6506,7760,8957,10333,12668,15039,17732,20816,24017,26839,29696,33969,38484,43398,48263,53178,57198,60792,66067,71517,76646,81498,85813,89390,92885,97068,101393,106458,111756,116721,121437,125289,130147,134907,140397,145540,150513,154261,157729,162431,167152,172587,177543,182270,185491,188465,191843,195527,199358,203125,206174,208324,210645,214228,217617,220915,223524,226041,228106,229932,232506,235547,238253,240795,242825,244332,245680,247287,248937,250739,252473,253977,255076,256145,257579,259046,260388,261622,262727,263518,264235,265321,266474,267656,268657,269710,270597,271404,272430,273507,274504,275524,276504,277170,277792,278684,279566,280340,281037,281675,282308,282703,283307,283710,283770,283774,284276,284900,285416,285768,286349,286979,287621,288133,288953,289603,290133,291373,291911,292552,293239,294066,294792,295372,295817,296377,297146,297914,298681,299426,300111,300658,301455,302301,303181,303942,304685,305623,306293,307184,308134,309005,309763,310825,311641,312789,313798,314927,316367,317379,318484,319197,320286,321098,322280,323313,324601,325642,326614,327798,328846,330368,331644,332752,334467,335873,337168,338676,340411,342351,344164,347152,350100,352560,355219,358138,361677,365174,368504,371125,374228,378219,381614,385936,390358,394257,398625,403551,409729,416363,423236,429277,434969,439013,446156,453264,460178,467146,480017,502978,515571,530113,544275,561815,575679,590844,603716,617688,634920,654644,673622,689257,705428,722409,741212,762542,789229,810467,830998,854010,873800,894690,917575,942275,965340,989745,1011660,1034914,1053864,1073882,1099059,1123197,1146484,1171441,1192013,1213363,1233775]\n", + "\n", + "x=np.linspace(0,294,294)\n", + "\n", + "\n", + "\n", + "# Couleur spécifiée par son nom, ligne solide\n", + "plt.plot( x ,b , color='blue', linestyle='solid', label='Belgium') \n", + "plt.plot( x,c1, linestyle='dashed', label='Anhui,China')\n", + "plt.plot( x,f, linestyle='dashed', label='France')\n", + "plt.plot( x,g, linestyle='dashed', label='Germany')\n", + "plt.plot( x,i, linestyle='dashed', label='Iran')\n", + "plt.plot( x,uk, linestyle='dashed', label='United Kingdom')\n", + " \n", + "\n", + " \n", + "plt.legend()\n", + "plt.title(\" L’évolution du nombre de cas cumulé au cours du temps\")\n", + "plt.xlabel('Nombre de jours')\n", + "plt.ylabel('Nombre de cas')\n", + "plt.yscale('log')\n", + "plt.savefig('L’évolution du nombre de cas cumulé au cours du temps.pdf') \n", + "plt.show()\n", + " \n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ici on va utilisé les données de décès" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import scipy as sp\n", + "from mpl_toolkits import mplot3d\n", + "\n", + "\n", + "fig = plt.figure()\n", + " \n", + "b=[ 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,8,13,23,50,109,169,200,239,267,314,314,559,689,886,1058,1243,1486,1795,2257,2815,3401,3743,4269,4937,6235,7284,9134,10836,11899,12775,13964,15348,16770,18431,19691,20814,22194,23403,24983,26667,28018,29647,30589,31119,33573,34809,36138,37183,38496,39983,40956,41889,42797,44293,45325,46134,46687,47334,47859,48519,49032,49517,49906,50267,50509,50781,51420,52011,52596,53081,53449,53779,53981,54288,54644,54989,55280,55559,55791,55983,56235,56511,56810,57092,57342,57455,57592,57849,58061,58186,58381,58517,58615,58685,58767,58907,59072,59226,59348,59437,59569,59711,59819,59918,60029,60100,60155,60244,60348,60476,60550,60550,60550,60810,60898,61007,61106,61209,61295,61361,61427,61509,61598,61727,61838,62016,62058,62058,62123,62210,62357,62469,62707,62707,62781,62872,63238,63499,63706,63706,64094,64258,64627,64847,65199,65727,66026,66428,66662,67335,68006,68751,69402,69849,70314,70648,71158,72016,72784,73401,74152,74620,75008,75647,76191,77113,77869,78323,78534,78897,79479,80178,80894,81468,81936,82092,82447,83030,83500,83952,84599,85042,85236,85487,85911,86544,87174,87825,88367,88769,89141,89691,90568,91537,92478,93455,94306,94795,95948,97976,99649,100748,102295,103392,105226,106887,108768,110976,112803,114179,115353,117115,118452,121059,124234,127623,130235,132203,134291,137868,143596,148981,156931,162258,165880,173240,181511,191959,202151,213115,222253,230480,240159,253386,270132,287700,305409,321031,333718,347289,368337,392258,412314,429229,441018,447355,452541,468213,479341,488044,494168,500789,503182,507475]\n", + "c1=[1,9,15,39,60,70,106,152,200,237,297,340,408,480,530,591,665,733,779,830,860,889,910,934,950,962,973,982,986,987,988,989,989,989,989,989,989,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,992]\n", + "f=[ 0,0,2,3,3,3,4,5,5,5,6,6,6,6,6,6,6,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,14,18,38,57,100,130,191,204,285,377,653,949,1126,1209,1784,2281,2281,3661,4469,4499,6633,7652,9043,10871,12612,14282,16018,19856,22304,25233,29155,32964,37575,40174,44550,52128,56989,59105,64338,68605,70478,74390,78167,82048,86334,90676,93790,120633,124298,129257,132473,144944,146923,146906,151808,154188,156921,154715,157026,158636,160292,160847,164589,167605,165093,165764,165764,166976,167272,167886,168935,172465,173040,174318,174758,175027,175479,176207,175981,176712,177319,177207,177240,177554,178428,179069,179306,179645,179964,179859,180166,179887,180044,183309,183816,185616,185851,185952,185112,185440,186118,186670,187199,187492,187590,187925,188322,188680,189244,189637,189928,189996,190223,190534,190735,191304,191740,191745,192070,192452,192265,192010,193346,193152,192429,194109,194373,194985,195458,195904,195546,195535,196748,197089,196796,197964,198450,198199,198183,199571,199509,200338,200739,201448,201285,201281,203242,203696,204641,205476,206418,206334,206334,208665,209342,209211,210465,213093,213031,213028,212884,216193,216106,218763,222477,222408,222402,226384,226313,230874,230778,236114,239345,239306,242650,242592,242538,242413,257333,260873,265550,267392,270455,275640,281603,288655,288531,299320,302175,306951,313730,320656,329512,329353,329246,348982,355244,363751,372501,381907,381907,381907,404564,412360,421861,431966,444978,444978,444978,473974,483956,483956,511757,527554,527554,527554,552832,564690,576907,589825,601971,601971,601971,636196,646531,664178,682192,702148,702148,702148,745104,766421,788117,818707,843475,843471,843471,918679,939147,965451,1007026,1048842,1048842,1048842,1172754,1206014,1240862,1288478,1337693,1373036,1419326,1471091,1507078,1547831,1605171,1665403,1665403,1790817,1810653,1810653]\n", + "g=[0,0,0,0,0,1,4,4,4,5,8,10,12,12,12,12,13,13,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,27,46,48,79,130,159,196,262,482,670,799,1040,1176,1457,1908,2078,3675,4585,5795,7272,9257,12327,15320,19848,22213,24873,29056,32986,37323,43938,50871,57695,62095,66885,71808,77872,84794,91159,96092,100123,103374,107663,113296,118181,122171,124908,127854,130072,131359,134753,137698,141397,143342,145184,147065,148291,150648,153129,154999,156513,157770,158758,159912,161539,163009,164077,164967,165664,166152,167007,168162,169430,170588,171324,171879,172576,173171,174098,174478,175233,175752,176369,176551,177778,178473,179021,179710,179986,180328,180600,181200,181524,182196,182922,183189,183410,183594,183879,184121,184472,184924,185450,185750,186109,186506,186522,186691,187226,187267,187518,187682,188252,188604,189817,190299,190670,191272,191768,192480,192871,193371,194036,194458,194693,195042,195418,195893,196370,196780,197198,197523,198064,198343,198699,199001,199332,199709,199919,200180,200456,200890,201450,202045,202426,202735,203325,203717,204276,204881,205623,206278,206667,207112,207707,208546,209535,210399,211005,211220,212111,212828,214113,215039,216196,216903,217288,218508,219540,220859,222281,223791,224488,225007,226700,228120,229706,231292,233029,233861,234494,236122,237583,239010,240571,242126,242835,243305,244802,246015,247411,248840,250283,251058,251728,253626,254957,256433,258149,259735,260817,261737,263222,265014,266869,269048,271247,272932,273965,275560,277412,279025,281346,283712,285026,286339,288631,290471,292913,295539,298374,300027,301573,304673,307127,311137,315941,320495,323463,326309,332850,337314,344487,352107,359802,364664,368671,377068,385591,397922,403874,417350,427808,437698,450258,463419,479621,498354,517736,531790,544346,569598,577131,608611,631172,653992,668114,682624,689146,715693]\n", + "i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,18,28,43,61,95,139,245,388,593,978,1501,2336,2922,3513,4747,5823,6566,7161,8042,9000,10075,11364,12729,13938,14991,16169,17361,18407,19644,20610,21638,23049,24811,27017,29406,32332,35408,38309,41495,44605,47593,50468,53183,55743,58226,60500,62589,64586,66220,68192,70029,71686,73303,74877,76389,77995,79494,80868,82211,83505,84802,85996,87026,88194,89328,90481,91472,92584,93657,94640,95646,96448,97424,98647,99970,101650,103135,104691,106220,107603,109286,110767,112725,114533,116635,118392,120198,122492,124603,126949,129341,131652,133521,135701,137724,139511,141591,143849,146668,148950,151466,154445,157562,160696,164270,167156,169425,171789,173832,175927,177938,180156,182525,184955,187427,189876,192439,195051,197647,200262,202584,204952,207525,209970,212501,215096,217724,220180,222669,225205,227662,230211,232863,235429,237878,240438,243051,245688,248379,250458,252720,255117,257303,259652,262173,264561,267061,269440,271606,273788,276202,278827,281413,284034,286523,288839,291172,293606,296273,298909,301530,304204,306752,309437,312035,314786,317483,320117,322567,324692,326712,328844,331189,333699,336324,338825,341070,343203,345450,347835,350279,352558,354764,356792,358905,361150,363363,365606,367796,369911,371816,373570,375212,376894,378752,380746,382772,384666,386658,388810,391112,393425,395488,397801,399940,402029,404648,407353,410334,413149,416198,419043,422140,425481,429193,432798,436319,439882,443086,446448,449960,453637,457219,461044,464596,468119,471772,475674,479825,483844,488236,492378,496253,500075,504281,508389,513219,517835,522387,526490,530380,534631,539670,545286,550757,556891,562705,568896,574856,581824,588648,596941,604952,612772,620491,628780,637712,646164,654936,663800,673250,682486,692949,703288]\n", + "uk=[0,0,0,0,0,0,0,0,0,2,2,2,8,8,9,9,9,13,14,14,15,16,17,18,18,18,19,19,20,22,23,23,28,30,34,37,44,56,61,94,134,189,245,294,373,428,482,629,887,1298,1787,2266,2630,3072,3684,4452,5451,6506,7760,8957,10333,12668,15039,17732,20816,24017,26839,29696,33969,38484,43398,48263,53178,57198,60792,66067,71517,76646,81498,85813,89390,92885,97068,101393,106458,111756,116721,121437,125289,130147,134907,140397,145540,150513,154261,157729,162431,167152,172587,177543,182270,185491,188465,191843,195527,199358,203125,206174,208324,210645,214228,217617,220915,223524,226041,228106,229932,232506,235547,238253,240795,242825,244332,245680,247287,248937,250739,252473,253977,255076,256145,257579,259046,260388,261622,262727,263518,264235,265321,266474,267656,268657,269710,270597,271404,272430,273507,274504,275524,276504,277170,277792,278684,279566,280340,281037,281675,282308,282703,283307,283710,283770,283774,284276,284900,285416,285768,286349,286979,287621,288133,288953,289603,290133,291373,291911,292552,293239,294066,294792,295372,295817,296377,297146,297914,298681,299426,300111,300658,301455,302301,303181,303942,304685,305623,306293,307184,308134,309005,309763,310825,311641,312789,313798,314927,316367,317379,318484,319197,320286,321098,322280,323313,324601,325642,326614,327798,328846,330368,331644,332752,334467,335873,337168,338676,340411,342351,344164,347152,350100,352560,355219,358138,361677,365174,368504,371125,374228,378219,381614,385936,390358,394257,398625,403551,409729,416363,423236,429277,434969,439013,446156,453264,460178,467146,480017,502978,515571,530113,544275,561815,575679,590844,603716,617688,634920,654644,673622,689257,705428,722409,741212,762542,789229,810467,830998,854010,873800,894690,917575,942275,965340,989745,1011660,1034914,1053864,1073882,1099059,1123197,1146484,1171441,1192013,1213363,1233775]\n", + "\n", + "x=np.linspace(0,294,294)\n", + "\n", + "\n", + "\n", + "# Couleur spécifiée par son nom, ligne solide\n", + "plt.plot( x ,b , color='blue', linestyle='solid', label='Belgium') \n", + "plt.plot( x,c1, linestyle='dashed', label='Anhui,China')\n", + "plt.plot( x,f, linestyle='dashed', label='France')\n", + "plt.plot( x,g, linestyle='dashed', label='Germany')\n", + "plt.plot( x,i, linestyle='dashed', label='Iran')\n", + "plt.plot( x,uk, linestyle='dashed', label='United Kingdom')\n", + " \n", + "\n", + " \n", + "plt.legend()\n", + "plt.title(\" L’évolution du nombre du nombre des décès au cours du temps\")\n", + "plt.xlabel('Nombre de jours')\n", + "plt.ylabel('Nombre de décès')\n", + "#plt.yscale('log')\n", + "plt.savefig('L’évolution du nombre de cas cumulé au cours du temps.pdf') \n", + "plt.show()\n", + " \n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Avec échelle logarithmique:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import scipy as sp\n", + "from mpl_toolkits import mplot3d\n", + "\n", + "\n", + "fig = plt.figure()\n", + " \n", + "b=[ 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,8,13,23,50,109,169,200,239,267,314,314,559,689,886,1058,1243,1486,1795,2257,2815,3401,3743,4269,4937,6235,7284,9134,10836,11899,12775,13964,15348,16770,18431,19691,20814,22194,23403,24983,26667,28018,29647,30589,31119,33573,34809,36138,37183,38496,39983,40956,41889,42797,44293,45325,46134,46687,47334,47859,48519,49032,49517,49906,50267,50509,50781,51420,52011,52596,53081,53449,53779,53981,54288,54644,54989,55280,55559,55791,55983,56235,56511,56810,57092,57342,57455,57592,57849,58061,58186,58381,58517,58615,58685,58767,58907,59072,59226,59348,59437,59569,59711,59819,59918,60029,60100,60155,60244,60348,60476,60550,60550,60550,60810,60898,61007,61106,61209,61295,61361,61427,61509,61598,61727,61838,62016,62058,62058,62123,62210,62357,62469,62707,62707,62781,62872,63238,63499,63706,63706,64094,64258,64627,64847,65199,65727,66026,66428,66662,67335,68006,68751,69402,69849,70314,70648,71158,72016,72784,73401,74152,74620,75008,75647,76191,77113,77869,78323,78534,78897,79479,80178,80894,81468,81936,82092,82447,83030,83500,83952,84599,85042,85236,85487,85911,86544,87174,87825,88367,88769,89141,89691,90568,91537,92478,93455,94306,94795,95948,97976,99649,100748,102295,103392,105226,106887,108768,110976,112803,114179,115353,117115,118452,121059,124234,127623,130235,132203,134291,137868,143596,148981,156931,162258,165880,173240,181511,191959,202151,213115,222253,230480,240159,253386,270132,287700,305409,321031,333718,347289,368337,392258,412314,429229,441018,447355,452541,468213,479341,488044,494168,500789,503182,507475]\n", + "c1=[1,9,15,39,60,70,106,152,200,237,297,340,408,480,530,591,665,733,779,830,860,889,910,934,950,962,973,982,986,987,988,989,989,989,989,989,989,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,990,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,991,992]\n", + "f=[ 0,0,2,3,3,3,4,5,5,5,6,6,6,6,6,6,6,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,14,18,38,57,100,130,191,204,285,377,653,949,1126,1209,1784,2281,2281,3661,4469,4499,6633,7652,9043,10871,12612,14282,16018,19856,22304,25233,29155,32964,37575,40174,44550,52128,56989,59105,64338,68605,70478,74390,78167,82048,86334,90676,93790,120633,124298,129257,132473,144944,146923,146906,151808,154188,156921,154715,157026,158636,160292,160847,164589,167605,165093,165764,165764,166976,167272,167886,168935,172465,173040,174318,174758,175027,175479,176207,175981,176712,177319,177207,177240,177554,178428,179069,179306,179645,179964,179859,180166,179887,180044,183309,183816,185616,185851,185952,185112,185440,186118,186670,187199,187492,187590,187925,188322,188680,189244,189637,189928,189996,190223,190534,190735,191304,191740,191745,192070,192452,192265,192010,193346,193152,192429,194109,194373,194985,195458,195904,195546,195535,196748,197089,196796,197964,198450,198199,198183,199571,199509,200338,200739,201448,201285,201281,203242,203696,204641,205476,206418,206334,206334,208665,209342,209211,210465,213093,213031,213028,212884,216193,216106,218763,222477,222408,222402,226384,226313,230874,230778,236114,239345,239306,242650,242592,242538,242413,257333,260873,265550,267392,270455,275640,281603,288655,288531,299320,302175,306951,313730,320656,329512,329353,329246,348982,355244,363751,372501,381907,381907,381907,404564,412360,421861,431966,444978,444978,444978,473974,483956,483956,511757,527554,527554,527554,552832,564690,576907,589825,601971,601971,601971,636196,646531,664178,682192,702148,702148,702148,745104,766421,788117,818707,843475,843471,843471,918679,939147,965451,1007026,1048842,1048842,1048842,1172754,1206014,1240862,1288478,1337693,1373036,1419326,1471091,1507078,1547831,1605171,1665403,1665403,1790817,1810653,1810653]\n", + "g=[0,0,0,0,0,1,4,4,4,5,8,10,12,12,12,12,13,13,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,27,46,48,79,130,159,196,262,482,670,799,1040,1176,1457,1908,2078,3675,4585,5795,7272,9257,12327,15320,19848,22213,24873,29056,32986,37323,43938,50871,57695,62095,66885,71808,77872,84794,91159,96092,100123,103374,107663,113296,118181,122171,124908,127854,130072,131359,134753,137698,141397,143342,145184,147065,148291,150648,153129,154999,156513,157770,158758,159912,161539,163009,164077,164967,165664,166152,167007,168162,169430,170588,171324,171879,172576,173171,174098,174478,175233,175752,176369,176551,177778,178473,179021,179710,179986,180328,180600,181200,181524,182196,182922,183189,183410,183594,183879,184121,184472,184924,185450,185750,186109,186506,186522,186691,187226,187267,187518,187682,188252,188604,189817,190299,190670,191272,191768,192480,192871,193371,194036,194458,194693,195042,195418,195893,196370,196780,197198,197523,198064,198343,198699,199001,199332,199709,199919,200180,200456,200890,201450,202045,202426,202735,203325,203717,204276,204881,205623,206278,206667,207112,207707,208546,209535,210399,211005,211220,212111,212828,214113,215039,216196,216903,217288,218508,219540,220859,222281,223791,224488,225007,226700,228120,229706,231292,233029,233861,234494,236122,237583,239010,240571,242126,242835,243305,244802,246015,247411,248840,250283,251058,251728,253626,254957,256433,258149,259735,260817,261737,263222,265014,266869,269048,271247,272932,273965,275560,277412,279025,281346,283712,285026,286339,288631,290471,292913,295539,298374,300027,301573,304673,307127,311137,315941,320495,323463,326309,332850,337314,344487,352107,359802,364664,368671,377068,385591,397922,403874,417350,427808,437698,450258,463419,479621,498354,517736,531790,544346,569598,577131,608611,631172,653992,668114,682624,689146,715693]\n", + "i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,18,28,43,61,95,139,245,388,593,978,1501,2336,2922,3513,4747,5823,6566,7161,8042,9000,10075,11364,12729,13938,14991,16169,17361,18407,19644,20610,21638,23049,24811,27017,29406,32332,35408,38309,41495,44605,47593,50468,53183,55743,58226,60500,62589,64586,66220,68192,70029,71686,73303,74877,76389,77995,79494,80868,82211,83505,84802,85996,87026,88194,89328,90481,91472,92584,93657,94640,95646,96448,97424,98647,99970,101650,103135,104691,106220,107603,109286,110767,112725,114533,116635,118392,120198,122492,124603,126949,129341,131652,133521,135701,137724,139511,141591,143849,146668,148950,151466,154445,157562,160696,164270,167156,169425,171789,173832,175927,177938,180156,182525,184955,187427,189876,192439,195051,197647,200262,202584,204952,207525,209970,212501,215096,217724,220180,222669,225205,227662,230211,232863,235429,237878,240438,243051,245688,248379,250458,252720,255117,257303,259652,262173,264561,267061,269440,271606,273788,276202,278827,281413,284034,286523,288839,291172,293606,296273,298909,301530,304204,306752,309437,312035,314786,317483,320117,322567,324692,326712,328844,331189,333699,336324,338825,341070,343203,345450,347835,350279,352558,354764,356792,358905,361150,363363,365606,367796,369911,371816,373570,375212,376894,378752,380746,382772,384666,386658,388810,391112,393425,395488,397801,399940,402029,404648,407353,410334,413149,416198,419043,422140,425481,429193,432798,436319,439882,443086,446448,449960,453637,457219,461044,464596,468119,471772,475674,479825,483844,488236,492378,496253,500075,504281,508389,513219,517835,522387,526490,530380,534631,539670,545286,550757,556891,562705,568896,574856,581824,588648,596941,604952,612772,620491,628780,637712,646164,654936,663800,673250,682486,692949,703288]\n", + "uk=[0,0,0,0,0,0,0,0,0,2,2,2,8,8,9,9,9,13,14,14,15,16,17,18,18,18,19,19,20,22,23,23,28,30,34,37,44,56,61,94,134,189,245,294,373,428,482,629,887,1298,1787,2266,2630,3072,3684,4452,5451,6506,7760,8957,10333,12668,15039,17732,20816,24017,26839,29696,33969,38484,43398,48263,53178,57198,60792,66067,71517,76646,81498,85813,89390,92885,97068,101393,106458,111756,116721,121437,125289,130147,134907,140397,145540,150513,154261,157729,162431,167152,172587,177543,182270,185491,188465,191843,195527,199358,203125,206174,208324,210645,214228,217617,220915,223524,226041,228106,229932,232506,235547,238253,240795,242825,244332,245680,247287,248937,250739,252473,253977,255076,256145,257579,259046,260388,261622,262727,263518,264235,265321,266474,267656,268657,269710,270597,271404,272430,273507,274504,275524,276504,277170,277792,278684,279566,280340,281037,281675,282308,282703,283307,283710,283770,283774,284276,284900,285416,285768,286349,286979,287621,288133,288953,289603,290133,291373,291911,292552,293239,294066,294792,295372,295817,296377,297146,297914,298681,299426,300111,300658,301455,302301,303181,303942,304685,305623,306293,307184,308134,309005,309763,310825,311641,312789,313798,314927,316367,317379,318484,319197,320286,321098,322280,323313,324601,325642,326614,327798,328846,330368,331644,332752,334467,335873,337168,338676,340411,342351,344164,347152,350100,352560,355219,358138,361677,365174,368504,371125,374228,378219,381614,385936,390358,394257,398625,403551,409729,416363,423236,429277,434969,439013,446156,453264,460178,467146,480017,502978,515571,530113,544275,561815,575679,590844,603716,617688,634920,654644,673622,689257,705428,722409,741212,762542,789229,810467,830998,854010,873800,894690,917575,942275,965340,989745,1011660,1034914,1053864,1073882,1099059,1123197,1146484,1171441,1192013,1213363,1233775]\n", + "\n", + "x=np.linspace(0,294,294)\n", + "\n", + "\n", + "\n", + "# Couleur spécifiée par son nom, ligne solide\n", + "plt.plot( x ,b , color='blue', linestyle='solid', label='Belgium') \n", + "plt.plot( x,c1, linestyle='dashed', label='Anhui,China')\n", + "plt.plot( x,f, linestyle='dashed', label='France')\n", + "plt.plot( x,g, linestyle='dashed', label='Germany')\n", + "plt.plot( x,i, linestyle='dashed', label='Iran')\n", + "plt.plot( x,uk, linestyle='dashed', label='United Kingdom')\n", + " \n", + "\n", + " \n", + "plt.legend()\n", + "plt.title(\" L’évolution du nombre du nombre des décès au cours du temps\")\n", + "plt.xlabel('Nombre de jours')\n", + "plt.ylabel('Nombre de décès')\n", + "plt.yscale('log')\n", + "plt.savefig('L’évolution du nombre de cas cumulé au cours du temps.pdf') \n", + "plt.show()\n", + " \n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## le graphe du nombre de lits en abscisse et le nombre de décès en ordonnée" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "No handles with labels found to put in legend.\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.array([2, 4, 5, 6,8])\n", + "y = np.array([18.6, 0.00064, 46.13, 27.4,8.6])\n", + "plt.plot(x, y)\n", + "\n", + "plt.legend()\n", + "plt.title(\" L’évolution du nombre de lits en foncton du nombre de décès\")\n", + "plt.xlabel('Nombre de lits')\n", + "plt.ylabel('Nombre de décès')\n", + "plt.savefig('L’évolution du nombre de cas cumulé au cours du temps.pdf') \n", + "plt.show()\n", + " \n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Remarque:\n", + "- J'ai pas pue prendre tout les pays du fichier, car le nombre été très volumineux, ce qui engendre un chauvauchement de la légende et la courbe." + ] + } + ], + "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": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} -- 2.18.1