{"id":36996,"date":"2025-10-23T11:40:22","date_gmt":"2025-10-23T09:40:22","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/non-classe\/methodes-numeriques-resolution-numerique-dequations-differentielles.html"},"modified":"2026-01-21T00:16:00","modified_gmt":"2026-01-20T22:16:00","slug":"methodes-numeriques-resolution-numerique-dequations-differentielles","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/psi\/physchim-psi-2526\/methodes-numeriques-resolution-numerique-dequations-differentielles.html","title":{"rendered":"M\u00e9thodes num\u00e9riques : R\u00e9solution num\u00e9rique d&rsquo;\u00e9quations diff\u00e9rentielles"},"content":{"rendered":"<h2>T\u00e9l\u00e9chargements<\/h2>\n<p><a href='https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/methodes-numeriques-resolution-numerique-dequations-differentielles-poly-1.pdf'>Polycopi\u00e9<\/a><\/p>\n<p><a href='https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/methodes-numeriques-resolution-numerique-dequations-differentielles-flashcards-1.apkg'>Flashcards Anki<\/a><\/p>\n<p><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/TD.pdf\">Corrig\u00e9 du TD<\/a><\/p>\n<h2>Coups de pouce<\/h2>\n<p>Laisser la souris\/taper sur le texte pour l&rsquo;afficher.<\/p>\n<div class='coups-de-pouce'>\n<h5>Exercice 1<\/h5>\n<ol>\n<li>\n<ul>\n<li>\n    \u00c9crire la loi des mailles. Comment tension et courant sont-ils li\u00e9s pour le r\u00e9sistor et pour le condensateur ?\n  <\/li>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<li>\n    L\u2019\u00e9nonc\u00e9 pr\u00e9cise que le condensateur est initialement d\u00e9charg\u00e9.\n  <\/li>\n<li>\n    La tension aux bornes d\u2019un condensateur est continue.\n  <\/li>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<li>\n    Utiliser la formule de Taylor \u00e0 l\u2019ordre 1 pour <span style=\"display: inline-block\"><svg class=\"typst-frame\" style=\"overflow: visible; width: 4.4662444444444445em; height: 0.683em;\" viewBox=\"0 0 49.12868888888889 7.513000000000001\" width=\"49.12868888888889pt\" height=\"7.513000000000001pt\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xmlns:h5=\"http:\/\/www.w3.org\/1999\/xhtml\"><g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 0 7.513000000000001)\"><use xlink:href=\"#g1C660EE53E0BB3DDEF58E513584C0CCF\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 6.292 7.513000000000001)\"><use xlink:href=\"#g8F2ED473B43C9E67FEA87CC9E63D3B9\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 10.570999999999998 7.513000000000001)\"><use xlink:href=\"#gB636C56A7EDCEEB0B208351352BF7B58\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 14.541999999999998 10.23)\"><use xlink:href=\"#g670F1950332FFF1ECA16DF79B0FDD7E7\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 20.713244444444445 7.513000000000001)\"><use xlink:href=\"#gCACA831666848D2A0C05D471064B6086\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 31.715688888888888 7.513000000000001)\"><use xlink:href=\"#g4EF85E3E299F12B08B6F8362E45510F1\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 40.87868888888889 7.513000000000001)\"><use xlink:href=\"#gB636C56A7EDCEEB0B208351352BF7B58\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 44.849688888888885 7.513000000000001)\"><use xlink:href=\"#gE866328B69FDEBC52389FEF6C3923424\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><\/g><defs id=\"glyph\"><symbol id=\"g1C660EE53E0BB3DDEF58E513584C0CCF\" overflow=\"visible\"><path d=\"M 0 0m 5.973 1.584 c 0 0.09899998 -0.055000305 0.15400004 -0.17600012 0.15400004 c -0.09899998 0 -0.1539998 -0.07700002 -0.1869998 -0.23100007 c -0.055000305 -0.20899999 -0.11000013 -0.41799998 -0.18700027 -0.627 c -0.14300013 -0.451 -0.34100008 -0.682 -0.5829997 -0.682 c -0.19799995 0 -0.2970004 0.154 -0.2970004 0.46199995 c 0 0.18700004 0.07700014 0.561 0.22000027 1.1110001 l 0.29699993 1.166 c 0.09899998 0.3959999 0.1869998 0.671 0.25300026 1.0119998 l 0.065999985 0.29699993 c 0.021999836 0.07700014 0.032999992 0.13199997 0.032999992 0.16499996 c 0 0.22000027 -0.12100029 0.3300004 -0.3630004 0.3300004 c -0.24199963 0 -0.3959999 -0.13199997 -0.4619999 -0.40700006 l -0.8139999 -3.256 c -0.010999918 -0.032999992 -0.055000067 -0.109999955 -0.14300013 -0.24199998 c -0.17599988 -0.28599995 -0.6049998 -0.63799995 -1.0449998 -0.63799995 c -0.41799998 0 -0.6270001 0.286 -0.6270001 0.84699994 c 0 0.4510001 0.19799995 1.1769999 0.58299994 2.1890001 c 0.12100005 0.32999992 0.18700004 0.5610001 0.18700004 0.6930001 c 0 0.5499997 -0.385 0.93499994 -0.93499994 0.93499994 c -0.495 0 -0.88 -0.2750001 -1.155 -0.8249998 c -0.20900002 -0.42900014 -0.319 -0.7260003 -0.319 -0.8800001 c 0 -0.09899998 0.055000007 -0.15400004 0.176 -0.15400004 c 0.143 0 0.16499996 0.065999985 0.20899999 0.22000003 c 0.25300002 0.8800001 0.605 1.3199997 1.056 1.3199997 c 0.15400004 0 0.23099995 -0.10999966 0.23099995 -0.31899977 c 0 -0.16499996 -0.065999985 -0.3959999 -0.18699992 -0.7149999 c -0.41799998 -1.1110001 -0.627 -1.881 -0.627 -2.288 c 0 -0.84699994 0.528 -1.342 1.375 -1.342 c 0.47300005 0 0.90199995 0.22 1.2649999 0.671 c 0.15400004 -0.451 0.4840002 -0.671 0.99000025 -0.671 c 0.7589998 0 0.9899998 0.891 1.1659999 1.705 Z \"\/><\/symbol><symbol id=\"g8F2ED473B43C9E67FEA87CC9E63D3B9\" overflow=\"visible\"><path d=\"M 0 0m 3.498 -2.728 c 0.09899998 0 0.15400004 0.05499983 0.15400004 0.15400004 c 0 0.032999992 -0.022000074 0.0769999 -0.055000067 0.12099981 c -0.5719998 0.44000006 -1.0339999 1.1660001 -1.375 2.167 c -0.29699993 0.869 -0.45099986 1.727 -0.45099986 2.5740001 v 0.9239998 c 0 0.8470001 0.15399992 1.7049999 0.45099986 2.574 c 0.34100008 1.0010004 0.8030002 1.7270002 1.375 2.1670003 c 0.032999992 0.032999992 0.055000067 0.076999664 0.055000067 0.12100029 c 0 0.09899998 -0.055000067 0.15399933 -0.15400004 0.15399933 c -0.010999918 0 -0.04399991 -0.01099968 -0.0769999 -0.032999992 c -0.6600001 -0.50599957 -1.21 -1.2539997 -1.661 -2.2549996 c -0.42900002 -0.95700026 -0.64900005 -1.8590002 -0.64900005 -2.7280002 v -0.9239998 c 0 -0.8690001 0.22000003 -1.7710001 0.64900005 -2.7280002 c 0.45099998 -1.0009999 1.0009999 -1.7489998 1.661 -2.2549999 c 0.032999992 -0.022000074 0.065999985 -0.032999992 0.0769999 -0.032999992 Z \"\/><\/symbol><symbol id=\"gB636C56A7EDCEEB0B208351352BF7B58\" overflow=\"visible\"><path d=\"M 0 0m 3.6299999 4.609 c 0 0.09899998 -0.109999895 0.1539998 -0.34099984 0.1539998 h -0.89100003 c 0.286 1.144 0.4289999 1.7379999 0.4289999 1.7820001 c 0 0.23099995 -0.12099981 0.34100008 -0.352 0.34100008 c -0.25300002 0 -0.40699983 -0.14300013 -0.4729998 -0.42900038 l -0.40700006 -1.6939998 h -0.97900003 c -0.24199998 0 -0.363 -0.011000156 -0.363 -0.2420001 c 0 -0.12099981 0.110000014 -0.17600012 0.341 -0.17600012 h 0.89100003 c -0.53900003 -2.1449997 -0.80300003 -3.2779999 -0.80300003 -3.4209998 c 0 -0.61600006 0.41800004 -1.0450001 1.0339999 -1.0450001 c 0.4180001 0 0.781 0.187 1.1 0.572 c 0.26399994 0.31899998 0.45099998 0.627 0.572 0.924 c 0.04399991 0.12100005 0.065999985 0.18700004 0.065999985 0.22000003 c 0 0.09899998 -0.055000067 0.15399992 -0.16499996 0.15399992 c -0.08800006 0 -0.15400004 -0.054999948 -0.19799995 -0.176 c -0.37400007 -0.913 -0.82500005 -1.364 -1.3640001 -1.364 c -0.18700004 0 -0.286 0.15400001 -0.286 0.45099998 c 0 0.16500002 0.021999955 0.34100008 0.065999985 0.5170001 l 0.78100014 3.1679997 h 0.97899985 c 0.286 0 0.36299992 0.022000313 0.36299992 0.26400042 Z \"\/><\/symbol><symbol id=\"g670F1950332FFF1ECA16DF79B0FDD7E7\" overflow=\"visible\"><path d=\"M 0 0m 2.5025 4.7817 c 0 0.18479967 -0.14630008 0.32340002 -0.3311 0.32340002 c -0.23100007 0 -0.45430005 -0.21560001 -0.45430005 -0.44659996 c 0 -0.18480015 0.14629996 -0.32340002 0.33109987 -0.32340002 c 0.23100019 0 0.45430017 0.21560001 0.45430017 0.44659996 Z m -1.0241001 -1.3629003 c -0.36189997 0 -0.6468 -0.18479991 -0.85469997 -0.55439997 c -0.17710003 -0.30799985 -0.26180002 -0.52359986 -0.26180002 -0.64680004 c 0 -0.08469987 0.053900003 -0.12319994 0.15400001 -0.12319994 c 0.08469999 0 0.13859999 0.046200037 0.16939998 0.13860011 c 0.1771 0.6083 0.43120003 0.90859985 0.77 0.90859985 c 0.10780001 0 0.16170001 -0.0769999 0.16170001 -0.23869991 c 0 -0.10010004 -0.07700002 -0.34649992 -0.23099995 -0.7469001 l -0.47740006 -1.2242999 c -0.046199977 -0.1232 -0.069299996 -0.231 -0.069299996 -0.3311 c 0 -0.4004 0.34649998 -0.6776 0.7469 -0.6776 c 0.36189997 0 0.6391001 0.1848 0.8469999 0.5621 c 0.17710018 0.308 0.26180005 0.5159 0.26180005 0.6314 c 0 0.08469999 -0.053900003 0.13090003 -0.15400004 0.13090003 c -0.0461998 -0.0077000856 -0.1000998 -0.046200037 -0.1539998 -0.12320006 c -0.007700205 -0.0076999664 -0.015400171 -0.023100019 -0.015400171 -0.030799985 c -0.17709994 -0.5929 -0.4311999 -0.89320004 -0.7622999 -0.89320004 c -0.10780001 0 -0.16170001 0.07699999 -0.16170001 0.231 c 0 0.1155 0.03849995 0.2772 0.12319994 0.47739998 l 0.6083001 1.5784999 c 0.030799866 0.08470011 0.046200037 0.16940022 0.046200037 0.25410008 c 0 0.40039992 -0.34650004 0.6775999 -0.7469001 0.6775999 Z \"\/><\/symbol><symbol id=\"gCACA831666848D2A0C05D471064B6086\" overflow=\"visible\"><path d=\"M 0 0m 7.678 3.014 h -3.1350002 v 3.1350002 c 0 0.17599964 -0.08799982 0.26399994 -0.26399994 0.26399994 c -0.17599964 0 -0.26399994 -0.0880003 -0.26399994 -0.26399994 v -3.1350002 h -3.1349998 c -0.176 0 -0.264 -0.08800006 -0.264 -0.26399994 c 0 -0.17600012 0.088 -0.26399994 0.264 -0.26399994 h 3.1349998 v -3.135 c 0 -0.176 0.0880003 -0.264 0.26399994 -0.264 c 0.17600012 0 0.26399994 0.088 0.26399994 0.264 v 3.135 h 3.1350002 c 0.17600012 0 0.26399994 0.08799982 0.26399994 0.26399994 c 0 0.14299989 -0.12099981 0.26399994 -0.26399994 0.26399994 Z \"\/><\/symbol><symbol id=\"g4EF85E3E299F12B08B6F8362E45510F1\" overflow=\"visible\"><path d=\"M 0 0m 8.349 0 c 0.18700027 0 0.28600025 0.044 0.28600025 0.143 l -3.7400002 7.513 c -0.07700014 0.14299965 -0.17600012 0.21999979 -0.31899977 0.21999979 c -0.14300013 0 -0.2420001 -0.07700014 -0.31900024 -0.21999979 l -3.685 -7.381 c -0.033000052 -0.07700001 -0.055000007 -0.12100001 -0.055000007 -0.143 c 0 -0.088 0.09899998 -0.132 0.28599995 -0.132 Z m -4.125 6.644 l 2.8600001 -5.731 h -5.7200003 Z \"\/><\/symbol><symbol id=\"gE866328B69FDEBC52389FEF6C3923424\" overflow=\"visible\"><path d=\"M 0 0m 0.858 -2.695 c 0.66 0.50600004 1.21 1.254 1.661 2.2549999 c 0.4289999 0.957 0.6489999 1.859 0.6489999 2.7280002 v 0.9239998 c 0 0.86899996 -0.22000003 1.7709999 -0.6489999 2.7280002 c -0.45099998 1.0009999 -1.001 1.7490001 -1.661 2.2549996 c -0.032999992 0.022000313 -0.065999985 0.032999992 -0.07699996 0.032999992 c -0.09900004 0 -0.15400004 -0.05499935 -0.15400004 -0.15399933 c 0 -0.044000626 0.022000015 -0.0880003 0.055000007 -0.12100029 c 0.57199997 -0.44000006 1.0339999 -1.1659999 1.375 -2.1670003 c 0.29700017 -0.86899996 0.45099998 -1.7269998 0.45099998 -2.574 v -0.9239998 c 0 -0.8470001 -0.1539998 -1.7050002 -0.45099998 -2.5740001 c -0.34099996 -1.0009999 -0.803 -1.727 -1.375 -2.167 c -0.032999992 -0.04399991 -0.055000007 -0.08799982 -0.055000007 -0.12099981 c 0 -0.099000216 0.055000007 -0.15400004 0.15400004 -0.15400004 c 0.010999978 0 0.04399997 0.010999918 0.07699996 0.032999992 Z \"\/><\/symbol><\/defs><\/svg><\/span>.\n  <\/li>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<li>\n    On peut utiliser la biblioth\u00e8que matplotlib.pyplot pour tracer des courbes en Python.\n  <\/li>\n<li>\n    La solution est de la forme <span style=\"display: inline-block\"><svg class=\"typst-frame\" style=\"overflow: visible; width: 10.282000000000002em; height: 0.683em;\" viewBox=\"0 0 113.10200000000002 7.513000000000001\" width=\"113.10200000000002pt\" height=\"7.513000000000001pt\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xmlns:h5=\"http:\/\/www.w3.org\/1999\/xhtml\"><g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 0 7.513000000000001)\"><use xlink:href=\"#g1C660EE53E0BB3DDEF58E513584C0CCF\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 6.292 7.513000000000001)\"><use xlink:href=\"#g8F2ED473B43C9E67FEA87CC9E63D3B9\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 10.570999999999998 7.513000000000001)\"><use xlink:href=\"#gB636C56A7EDCEEB0B208351352BF7B58\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 14.541999999999998 7.513000000000001)\"><use xlink:href=\"#gE866328B69FDEBC52389FEF6C3923424\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 21.876555555555555 7.513000000000001)\"><use xlink:href=\"#g8E79D971ED2DF2360F7CF2540389221\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 33.49011111111111 7.513000000000001)\"><use xlink:href=\"#g872BDA5EE0B2746532DCD695748721EC\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 41.74011111111111 7.513000000000001)\"><use xlink:href=\"#gD73D79BAA9B24B0551C87CD5DEEEA66B\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 46.77811111111111 7.513000000000001)\"><use xlink:href=\"#gFA18BF337B40C3FFB73D10D49D4EB853\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 54.72255555555555 7.513000000000001)\"><use xlink:href=\"#gA24857F94E0D4BC6470AFBBC38061219\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-group\"><g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 65.72500000000001 7.513000000000001)\"><use xlink:href=\"#gCE649376EF556C7769DB165567EEEF4F\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><use xlink:href=\"#g456664F6EE60F5E006F73E6EFDFAC6C2\" x=\"4.884\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><use xlink:href=\"#gF6AC377920BDA9A2D2C1D7824A400936\" x=\"10.692\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 82.533 7.513000000000001)\"><use xlink:href=\"#gD73D79BAA9B24B0551C87CD5DEEEA66B\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 87.571 7.513000000000001)\"><use xlink:href=\"#gA24857F94E0D4BC6470AFBBC38061219\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 97.91430000000001 3.1789999999999994)\"><use xlink:href=\"#g1703B403B29469E8C0E59781F765FFB7\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 97.229 11.308)\"><use xlink:href=\"#g3FB386DB1F46A75C8A0F212161D3C04C\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><path class=\"typst-shape\" fill=\"none\" stroke=\"#000000\" stroke-width=\"0.528\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-miterlimit=\"4\" transform=\"matrix(1 0 0 1 97.229 4.763)\" d=\"M 0 0h 4.697 \"\/><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 103.026 7.513000000000001)\"><use xlink:href=\"#g8C29AB581D1379F40F98E1F3BC893BA0\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 108.06400000000001 7.513000000000001)\"><use xlink:href=\"#g8C29AB581D1379F40F98E1F3BC893BA0\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><\/g><\/g><\/g><defs id=\"glyph\"><symbol id=\"g1C660EE53E0BB3DDEF58E513584C0CCF\" overflow=\"visible\"><path d=\"M 0 0m 5.973 1.584 c 0 0.09899998 -0.055000305 0.15400004 -0.17600012 0.15400004 c -0.09899998 0 -0.1539998 -0.07700002 -0.1869998 -0.23100007 c -0.055000305 -0.20899999 -0.11000013 -0.41799998 -0.18700027 -0.627 c -0.14300013 -0.451 -0.34100008 -0.682 -0.5829997 -0.682 c -0.19799995 0 -0.2970004 0.154 -0.2970004 0.46199995 c 0 0.18700004 0.07700014 0.561 0.22000027 1.1110001 l 0.29699993 1.166 c 0.09899998 0.3959999 0.1869998 0.671 0.25300026 1.0119998 l 0.065999985 0.29699993 c 0.021999836 0.07700014 0.032999992 0.13199997 0.032999992 0.16499996 c 0 0.22000027 -0.12100029 0.3300004 -0.3630004 0.3300004 c -0.24199963 0 -0.3959999 -0.13199997 -0.4619999 -0.40700006 l -0.8139999 -3.256 c -0.010999918 -0.032999992 -0.055000067 -0.109999955 -0.14300013 -0.24199998 c -0.17599988 -0.28599995 -0.6049998 -0.63799995 -1.0449998 -0.63799995 c -0.41799998 0 -0.6270001 0.286 -0.6270001 0.84699994 c 0 0.4510001 0.19799995 1.1769999 0.58299994 2.1890001 c 0.12100005 0.32999992 0.18700004 0.5610001 0.18700004 0.6930001 c 0 0.5499997 -0.385 0.93499994 -0.93499994 0.93499994 c -0.495 0 -0.88 -0.2750001 -1.155 -0.8249998 c -0.20900002 -0.42900014 -0.319 -0.7260003 -0.319 -0.8800001 c 0 -0.09899998 0.055000007 -0.15400004 0.176 -0.15400004 c 0.143 0 0.16499996 0.065999985 0.20899999 0.22000003 c 0.25300002 0.8800001 0.605 1.3199997 1.056 1.3199997 c 0.15400004 0 0.23099995 -0.10999966 0.23099995 -0.31899977 c 0 -0.16499996 -0.065999985 -0.3959999 -0.18699992 -0.7149999 c -0.41799998 -1.1110001 -0.627 -1.881 -0.627 -2.288 c 0 -0.84699994 0.528 -1.342 1.375 -1.342 c 0.47300005 0 0.90199995 0.22 1.2649999 0.671 c 0.15400004 -0.451 0.4840002 -0.671 0.99000025 -0.671 c 0.7589998 0 0.9899998 0.891 1.1659999 1.705 Z \"\/><\/symbol><symbol id=\"g8F2ED473B43C9E67FEA87CC9E63D3B9\" overflow=\"visible\"><path d=\"M 0 0m 3.498 -2.728 c 0.09899998 0 0.15400004 0.05499983 0.15400004 0.15400004 c 0 0.032999992 -0.022000074 0.0769999 -0.055000067 0.12099981 c -0.5719998 0.44000006 -1.0339999 1.1660001 -1.375 2.167 c -0.29699993 0.869 -0.45099986 1.727 -0.45099986 2.5740001 v 0.9239998 c 0 0.8470001 0.15399992 1.7049999 0.45099986 2.574 c 0.34100008 1.0010004 0.8030002 1.7270002 1.375 2.1670003 c 0.032999992 0.032999992 0.055000067 0.076999664 0.055000067 0.12100029 c 0 0.09899998 -0.055000067 0.15399933 -0.15400004 0.15399933 c -0.010999918 0 -0.04399991 -0.01099968 -0.0769999 -0.032999992 c -0.6600001 -0.50599957 -1.21 -1.2539997 -1.661 -2.2549996 c -0.42900002 -0.95700026 -0.64900005 -1.8590002 -0.64900005 -2.7280002 v -0.9239998 c 0 -0.8690001 0.22000003 -1.7710001 0.64900005 -2.7280002 c 0.45099998 -1.0009999 1.0009999 -1.7489998 1.661 -2.2549999 c 0.032999992 -0.022000074 0.065999985 -0.032999992 0.0769999 -0.032999992 Z \"\/><\/symbol><symbol id=\"gB636C56A7EDCEEB0B208351352BF7B58\" overflow=\"visible\"><path d=\"M 0 0m 3.6299999 4.609 c 0 0.09899998 -0.109999895 0.1539998 -0.34099984 0.1539998 h -0.89100003 c 0.286 1.144 0.4289999 1.7379999 0.4289999 1.7820001 c 0 0.23099995 -0.12099981 0.34100008 -0.352 0.34100008 c -0.25300002 0 -0.40699983 -0.14300013 -0.4729998 -0.42900038 l -0.40700006 -1.6939998 h -0.97900003 c -0.24199998 0 -0.363 -0.011000156 -0.363 -0.2420001 c 0 -0.12099981 0.110000014 -0.17600012 0.341 -0.17600012 h 0.89100003 c -0.53900003 -2.1449997 -0.80300003 -3.2779999 -0.80300003 -3.4209998 c 0 -0.61600006 0.41800004 -1.0450001 1.0339999 -1.0450001 c 0.4180001 0 0.781 0.187 1.1 0.572 c 0.26399994 0.31899998 0.45099998 0.627 0.572 0.924 c 0.04399991 0.12100005 0.065999985 0.18700004 0.065999985 0.22000003 c 0 0.09899998 -0.055000067 0.15399992 -0.16499996 0.15399992 c -0.08800006 0 -0.15400004 -0.054999948 -0.19799995 -0.176 c -0.37400007 -0.913 -0.82500005 -1.364 -1.3640001 -1.364 c -0.18700004 0 -0.286 0.15400001 -0.286 0.45099998 c 0 0.16500002 0.021999955 0.34100008 0.065999985 0.5170001 l 0.78100014 3.1679997 h 0.97899985 c 0.286 0 0.36299992 0.022000313 0.36299992 0.26400042 Z \"\/><\/symbol><symbol id=\"gE866328B69FDEBC52389FEF6C3923424\" overflow=\"visible\"><path d=\"M 0 0m 0.858 -2.695 c 0.66 0.50600004 1.21 1.254 1.661 2.2549999 c 0.4289999 0.957 0.6489999 1.859 0.6489999 2.7280002 v 0.9239998 c 0 0.86899996 -0.22000003 1.7709999 -0.6489999 2.7280002 c -0.45099998 1.0009999 -1.001 1.7490001 -1.661 2.2549996 c -0.032999992 0.022000313 -0.065999985 0.032999992 -0.07699996 0.032999992 c -0.09900004 0 -0.15400004 -0.05499935 -0.15400004 -0.15399933 c 0 -0.044000626 0.022000015 -0.0880003 0.055000007 -0.12100029 c 0.57199997 -0.44000006 1.0339999 -1.1659999 1.375 -2.1670003 c 0.29700017 -0.86899996 0.45099998 -1.7269998 0.45099998 -2.574 v -0.9239998 c 0 -0.8470001 -0.1539998 -1.7050002 -0.45099998 -2.5740001 c -0.34099996 -1.0009999 -0.803 -1.727 -1.375 -2.167 c -0.032999992 -0.04399991 -0.055000007 -0.08799982 -0.055000007 -0.12099981 c 0 -0.099000216 0.055000007 -0.15400004 0.15400004 -0.15400004 c 0.010999978 0 0.04399997 0.010999918 0.07699996 0.032999992 Z \"\/><\/symbol><symbol id=\"g8E79D971ED2DF2360F7CF2540389221\" overflow=\"visible\"><path d=\"M 0 0m 7.678 4.037 h -6.798 c -0.176 0 -0.264 -0.0880003 -0.264 -0.25300026 c 0 -0.16499996 0.088 -0.25300002 0.264 -0.25300002 h 6.798 c 0.17600012 0 0.26399994 0.08800006 0.26399994 0.25300002 c 0 0.13199997 -0.12099981 0.25300026 -0.26399994 0.25300026 Z m 0 -2.0680003 h -6.798 c -0.176 0 -0.264 -0.08799994 -0.264 -0.25300002 c 0 -0.16499996 0.088 -0.25300002 0.264 -0.25300002 h 6.798 c 0.17600012 0 0.26399994 0.08800006 0.26399994 0.25300002 c 0 0.143 -0.12099981 0.25300002 -0.26399994 0.25300002 Z \"\/><\/symbol><symbol id=\"g872BDA5EE0B2746532DCD695748721EC\" overflow=\"visible\"><path d=\"M 0 0m 1.507 0.033 c 0.19800007 0 0.8800001 -0.033 1.089 -0.033 c 0.16499996 0 0.2420001 0.088 0.2420001 0.253 c 0 0.09900001 -0.065999985 0.16499999 -0.20900011 0.176 c -0.319 0.011000007 -0.47300005 0.12100002 -0.47300005 0.33 c 0 0.09899998 0.09899998 0.31899995 0.3080001 0.649 c 0.29699993 0.495 0.50600004 0.85800004 0.6489999 1.0999999 h 2.6729999 c 0 -0.0769999 0.011000156 -0.23099995 0.04400015 -0.4729998 c 0.07700014 -0.8030001 0.12099981 -1.243 0.12099981 -1.2980001 c 0 -0.20899999 -0.24199963 -0.308 -0.737 -0.308 c -0.20899963 0 -0.3079996 -0.088 -0.3079996 -0.264 c 0 -0.10999999 0.065999985 -0.16499999 0.19799995 -0.16499999 c 0.26399994 0 1.0999999 0.033 1.3639998 0.033 c 0.21999979 0 1.0009999 -0.033 1.2210002 -0.033 c 0.16499996 0 0.24199963 0.088 0.24199963 0.264 c 0 0.110000014 -0.09899998 0.16499999 -0.29699993 0.16499999 c -0.3080001 0 -0.4949999 0.022000015 -0.5499997 0.055000007 c -0.055000305 0.033000022 -0.09899998 0.132 -0.11000013 0.29700002 l -0.65999985 6.798 c -0.032999992 0.20900011 -0.022000313 0.29699993 -0.25300026 0.29699993 c -0.13199997 0 -0.2420001 -0.065999985 -0.31899977 -0.20900011 l -3.7840002 -6.347 c -0.32999992 -0.54999995 -0.77 -0.84699994 -1.309 -0.8909999 c -0.176 -0.011000007 -0.264 -0.09900001 -0.264 -0.264 c 0 -0.10999999 0.066000015 -0.16499999 0.18700004 -0.16499999 c 0.176 0 0.75899994 0.033 0.93499994 0.033 Z m 3.9050002 6.314 l 0.32999992 -3.41 h -2.365 Z \"\/><\/symbol><symbol id=\"gD73D79BAA9B24B0551C87CD5DEEEA66B\" overflow=\"visible\"><path d=\"M 0 0m 4.18 -3.817 c 0.11000013 0 0.16499996 0.05499983 0.16499996 0.16499996 c 0 0.055000067 -0.021999836 0.09899998 -0.05499983 0.13199997 c -0.671 0.51699996 -1.21 1.3640001 -1.6169999 2.552 c -0.352 1.023 -0.5280001 2.035 -0.5280001 3.014 v 1.408 c 0 0.9790001 0.17600012 1.9910002 0.5280001 3.014 c 0.40699983 1.1880002 0.94599986 2.0350003 1.6169999 2.5519996 c 0.032999992 0.032999992 0.05499983 0.07700062 0.05499983 0.13200092 c 0 0.10999966 -0.05499983 0.16499996 -0.16499996 0.16499996 c -0.021999836 0 -0.05499983 -0.011000633 -0.08799982 -0.032999992 c -0.77 -0.5830002 -1.408 -1.4630003 -1.914 -2.6400003 c -0.495 -1.1110001 -0.737 -2.178 -0.737 -3.19 v -1.408 c 0 -1.012 0.24199998 -2.079 0.737 -3.19 c 0.50600004 -1.177 1.144 -2.057 1.914 -2.6399999 c 0.032999992 -0.022000074 0.065999985 -0.032999992 0.08799982 -0.032999992 Z \"\/><\/symbol><symbol id=\"gFA18BF337B40C3FFB73D10D49D4EB853\" overflow=\"visible\"><path d=\"M 0 0m 2.9589999 7.3259997 c -0.45099998 -0.4619999 -1.1109998 -0.69299984 -1.9799999 -0.69299984 v -0.4289999 c 0.572 0 1.045 0.08799982 1.4080001 0.26399994 v -5.566 c 0 -0.19800001 -0.04400015 -0.32999998 -0.14300013 -0.385 c -0.09899998 -0.055000007 -0.37399995 -0.08800003 -0.814 -0.08800003 h -0.385 v -0.429 c 0.27499998 0.022 0.8690001 0.033 1.782 0.033 c 0.9130001 0 1.5070002 -0.011 1.7820003 -0.033 v 0.429 h -0.38500023 c -0.45099998 0 -0.7260001 0.033000022 -0.8139999 0.08800003 c -0.08800006 0.055000007 -0.14300013 0.18699998 -0.14300013 0.385 v 6.094 c 0 0.26399994 -0.022000074 0.32999992 -0.3080001 0.32999992 Z \"\/><\/symbol><symbol id=\"gA24857F94E0D4BC6470AFBBC38061219\" overflow=\"visible\"><path d=\"M 0 0m 7.678 2.97 h -6.798 c -0.176 0 -0.264 -0.07700014 -0.264 -0.22000003 c 0 -0.14300013 0.088 -0.22000003 0.264 -0.22000003 h 6.798 c 0.17600012 0 0.26399994 0.0769999 0.26399994 0.22000003 c 0 0.13199997 -0.13199997 0.22000003 -0.26399994 0.22000003 Z \"\/><\/symbol><symbol id=\"gCE649376EF556C7769DB165567EEEF4F\" overflow=\"visible\"><path d=\"M 0 0m 4.565 2.761 c 0 1.2650001 -0.737 2.167 -1.9690001 2.167 c -0.65999997 0 -1.2099999 -0.25299978 -1.661 -0.77 c -0.41799998 -0.48399997 -0.627 -1.0669999 -0.627 -1.7379999 c 0 -0.6930001 0.23099998 -1.276 0.6930001 -1.7820001 c 0.4619999 -0.50600004 1.034 -0.759 1.716 -0.759 c 0.62699986 0 1.1110001 0.22 1.441 0.649 c 0.2750001 0.36299998 0.40700006 0.627 0.40700006 0.803 c 0 0.110000014 -0.065999985 0.16500008 -0.18700027 0.16500008 c -0.08799982 0 -0.14299965 -0.055000067 -0.17599964 -0.17600012 c -0.2420001 -0.72599995 -0.71500015 -1.089 -1.4190001 -1.089 c -0.4949999 0 -0.88 0.231 -1.177 0.704 c -0.20899999 0.34100002 -0.30799997 0.858 -0.319 1.562 h 2.97 c 0.2420001 0 0.3080001 0.022000074 0.3080001 0.26399994 Z m -0.9790001 1.0780001 c 0.12100005 -0.36299992 0.17600012 -0.7149999 0.17600012 -1.0339999 h -2.4640002 c 0.032999992 0.72599983 0.22000003 1.221 0.5500001 1.4739997 c 0.27499986 0.22000027 0.51699996 0.3300004 0.7479999 0.3300004 c 0.49500012 0 0.82500005 -0.25300026 0.99 -0.7700002 Z \"\/><\/symbol><symbol id=\"g456664F6EE60F5E006F73E6EFDFAC6C2\" overflow=\"visible\"><path d=\"M 0 0m 4.598 0.033 c 0.25299978 0.011 0.6159997 0 1.0780001 -0.033 v 0.41799998 c -0.5830002 0 -0.803 0.011000007 -1.0339999 0.319 l -1.4300003 1.848 c 0.47300005 0.58299994 0.7920003 0.97899985 0.96799994 1.188 c 0.3080001 0.352 0.737 0.5389998 1.2980003 0.54999995 v 0.41800022 c -0.3080001 -0.022000313 -0.6160002 -0.032999992 -0.92400026 -0.032999992 c -0.40700006 0 -0.77 0.01099968 -1.089 0.032999992 v -0.41800022 c 0.20900011 -0.021999836 0.319 -0.12099981 0.319 -0.29699993 c 0 -0.09899998 -0.05499983 -0.22000003 -0.15400004 -0.352 l -0.6379998 -0.79200006 l -0.8140001 1.0450001 c -0.055000067 0.07700014 -0.08800006 0.13199997 -0.08800006 0.16499996 c 0 0.14300013 0.13199997 0.21999979 0.385 0.23099995 v 0.41800022 l -1.221 -0.032999992 c -0.28599995 -0.011000156 -0.63799995 0 -1.0669999 0.032999992 v -0.41800022 c 0.396 0 0.6489999 -0.032999992 0.75899994 -0.08799982 c 0.110000014 -0.055000305 0.286 -0.2420001 0.528 -0.5610001 l 1.0450001 -1.3640001 c -0.53900003 -0.69299996 -0.8690001 -1.111 -0.99 -1.254 c -0.352 -0.42900002 -0.81400007 -0.638 -1.3970001 -0.638 v -0.41799998 c 0.40699998 0.033 0.71500003 0.044 0.946 0.033 l 1.067 -0.033 v 0.41799998 c -0.20899999 0.033000022 -0.30799997 0.13200003 -0.30799997 0.297 c 0 0.04400003 0.011000037 0.09900004 0.032999992 0.15400004 c 0.065999985 0.14299995 0.36300004 0.517 0.8909999 1.144 l 0.79200006 -1.034 c 0.12100005 -0.15399998 0.18700004 -0.264 0.22000003 -0.32999998 c 0 -0.143 -0.13199997 -0.22 -0.3959999 -0.231 v -0.41799998 Z \"\/><\/symbol><symbol id=\"gF6AC377920BDA9A2D2C1D7824A400936\" overflow=\"visible\"><path d=\"M 0 0m 3.2779999 -0.143 c 0.68200016 0 1.2649999 0.24200001 1.7379999 0.737 c 0.47300005 0.495 0.71500015 1.078 0.71500015 1.771 c 0 0.671 -0.21999979 1.243 -0.64900017 1.727 c -0.45099974 0.5170002 -1.0009999 0.77 -1.6609998 0.77 c -0.5610001 0 -1.0450001 -0.21999979 -1.463 -0.64900017 v 0.64900017 l -1.65 -0.12099981 v -0.41800022 c 0.40699998 0 0.64900005 -0.021999836 0.7260001 -0.07700014 c 0.0769999 -0.05499983 0.12099993 -0.19799995 0.12099993 -0.4289999 v -5.082 c 0 -0.20899999 -0.04400003 -0.34099996 -0.12099993 -0.385 c -0.07700002 -0.04400003 -0.31900007 -0.055000067 -0.7260001 -0.055000067 v -0.42900002 l 1.2540001 0.032999992 l 1.2649999 -0.032999992 v 0.42900002 c -0.40699983 0 -0.638 0.011000037 -0.7149999 0.055000067 c -0.0769999 0.04400003 -0.12100005 0.176 -0.12100005 0.385 v 1.749 c 0.2420001 -0.341 0.71500015 -0.627 1.287 -0.627 Z m 0.065999985 4.642 c 0.4510002 0 0.803 -0.25300026 1.0780001 -0.75900006 c 0.20900011 -0.42900014 0.31900024 -0.8800001 0.31900024 -1.375 c 0 -0.51699996 -0.12100029 -0.99 -0.3630004 -1.419 c -0.28599977 -0.51699996 -0.67099977 -0.77 -1.1439998 -0.77 c -0.4619999 0 -0.82500005 0.22 -1.0999999 0.649 c -0.09899998 0.143 -0.14300013 0.28599995 -0.14300013 0.42899996 v 2.409 c 0.319 0.5610001 0.77 0.8360002 1.3529999 0.8360002 Z \"\/><\/symbol><symbol id=\"g1703B403B29469E8C0E59781F765FFB7\" overflow=\"visible\"><path d=\"M 0 0m 2.9259999 3.2031999 c 0 0.08470011 -0.08469987 0.13090014 -0.25409985 0.13090014 h -0.6776 l 0.2694999 1.0933998 c 0 0.01540041 0.023100138 0.092400074 0.023100138 0.10780001 c 0 0.18480015 -0.092400074 0.27720022 -0.28489995 0.27720022 c -0.23100007 0 -0.3619001 -0.19250011 -0.4158001 -0.45429993 l -0.2464 -1.0241001 h -0.7469 c -0.17709997 0 -0.2695 -0.023100138 -0.2695 -0.19250011 c 0 -0.092399836 0.08470002 -0.13859987 0.2541 -0.13859987 h 0.6776 l -0.43120003 -1.7556 c -0.07699996 -0.30800003 -0.11549997 -0.5005 -0.11549997 -0.5698 c 0 -0.45430005 0.37730002 -0.75460005 0.83159995 -0.75460005 c 0.39270008 0 0.7314999 0.1848 1.0009999 0.5621 c 0.22329998 0.31569996 0.3388002 0.5236 0.3388002 0.6314 c 0 0.08469999 -0.046200037 0.13090003 -0.14630008 0.13090003 c -0.03850007 0 -0.06929994 -0.0077000856 -0.092400074 -0.015400052 c -0.046200037 -0.053900003 -0.0769999 -0.10780001 -0.092399836 -0.14629996 c -0.16940022 -0.37730002 -0.5236001 -0.8855001 -0.9856001 -0.8855001 c -0.15400004 0 -0.23099995 0.1155 -0.23099995 0.33879998 c 0 0.08470005 0.015399933 0.18480003 0.046199918 0.30800003 l 0.53130007 2.1560001 h 0.7469001 c 0.17709994 0 0.26949978 0.03850007 0.26949978 0.20019984 Z \"\/><\/symbol><symbol id=\"g3FB386DB1F46A75C8A0F212161D3C04C\" overflow=\"visible\"><path d=\"M 0 0m 4.0502 2.7412 c 0.2849002 0 0.43120003 0.11549997 0.43120003 0.33879995 c 0 0.16170001 -0.11549997 0.23870015 -0.3541999 0.23870015 h -2.3947 c -0.1925 0 -0.36189997 -0.03850007 -0.5159 -0.12320018 c -0.23869997 -0.1308999 -0.46969992 -0.33879995 -0.69299996 -0.63909984 c -0.11549997 -0.16170001 -0.17709997 -0.26180005 -0.17709997 -0.3080001 c 0 -0.0769999 0.053899974 -0.11549997 0.16169998 -0.11549997 c 0.06160003 0 0.11550003 0.030800104 0.16170001 0.092400074 c 0.2464 0.34649992 0.57750005 0.5158999 0.9933 0.5158999 h 0.63909996 l -0.7392 -2.3792999 c -0.023100019 -0.08470002 -0.03849995 -0.1463 -0.03849995 -0.1848 c 0 -0.1771 0.092399955 -0.26950002 0.27719998 -0.26950002 c 0.20790005 0 0.33879995 0.1309 0.39269996 0.40039998 l 0.4697001 2.4332 Z \"\/><\/symbol><symbol id=\"g8C29AB581D1379F40F98E1F3BC893BA0\" overflow=\"visible\"><path d=\"M 0 0m 0.946 -3.784 c 0.77 0.58299994 1.4080001 1.4629998 1.9139999 2.6399999 c 0.49500012 1.1110001 0.737 2.178 0.737 3.19 v 1.408 c 0 1.0120001 -0.24199986 2.079 -0.737 3.19 c -0.5059998 1.177 -1.1439999 2.0570002 -1.9139999 2.6400003 c -0.032999992 0.02199936 -0.065999985 0.032999992 -0.088 0.032999992 c -0.109999955 0 -0.16499996 -0.055000305 -0.16499996 -0.16499996 c 0 -0.055000305 0.021999955 -0.09900093 0.055000007 -0.13200092 c 0.671 -0.51699924 1.2099999 -1.3639994 1.617 -2.5519996 c 0.352 -1.0229998 0.5279999 -2.0349998 0.5279999 -3.014 v -1.408 c 0 -0.979 -0.17599988 -1.991 -0.5279999 -3.014 c -0.40700006 -1.188 -0.946 -2.035 -1.617 -2.552 c -0.033000052 -0.032999992 -0.055000007 -0.0769999 -0.055000007 -0.13199997 c 0 -0.11000013 0.055000007 -0.16499996 0.16499996 -0.16499996 c 0.022000015 0 0.055000007 0.010999918 0.088 0.032999992 Z \"\/><\/symbol><\/defs><\/svg><\/span> o\u00f9 <span style=\"display: inline-block\"><svg class=\"typst-frame\" style=\"overflow: visible; width: 0.75em; height: 0.683em;\" viewBox=\"0 0 8.25 7.513000000000001\" width=\"8.25pt\" height=\"7.513000000000001pt\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xmlns:h5=\"http:\/\/www.w3.org\/1999\/xhtml\"><g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 0 7.513000000000001)\"><use xlink:href=\"#g872BDA5EE0B2746532DCD695748721EC\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><\/g><defs id=\"glyph\"><symbol id=\"g872BDA5EE0B2746532DCD695748721EC\" overflow=\"visible\"><path d=\"M 0 0m 1.507 0.033 c 0.19800007 0 0.8800001 -0.033 1.089 -0.033 c 0.16499996 0 0.2420001 0.088 0.2420001 0.253 c 0 0.09900001 -0.065999985 0.16499999 -0.20900011 0.176 c -0.319 0.011000007 -0.47300005 0.12100002 -0.47300005 0.33 c 0 0.09899998 0.09899998 0.31899995 0.3080001 0.649 c 0.29699993 0.495 0.50600004 0.85800004 0.6489999 1.0999999 h 2.6729999 c 0 -0.0769999 0.011000156 -0.23099995 0.04400015 -0.4729998 c 0.07700014 -0.8030001 0.12099981 -1.243 0.12099981 -1.2980001 c 0 -0.20899999 -0.24199963 -0.308 -0.737 -0.308 c -0.20899963 0 -0.3079996 -0.088 -0.3079996 -0.264 c 0 -0.10999999 0.065999985 -0.16499999 0.19799995 -0.16499999 c 0.26399994 0 1.0999999 0.033 1.3639998 0.033 c 0.21999979 0 1.0009999 -0.033 1.2210002 -0.033 c 0.16499996 0 0.24199963 0.088 0.24199963 0.264 c 0 0.110000014 -0.09899998 0.16499999 -0.29699993 0.16499999 c -0.3080001 0 -0.4949999 0.022000015 -0.5499997 0.055000007 c -0.055000305 0.033000022 -0.09899998 0.132 -0.11000013 0.29700002 l -0.65999985 6.798 c -0.032999992 0.20900011 -0.022000313 0.29699993 -0.25300026 0.29699993 c -0.13199997 0 -0.2420001 -0.065999985 -0.31899977 -0.20900011 l -3.7840002 -6.347 c -0.32999992 -0.54999995 -0.77 -0.84699994 -1.309 -0.8909999 c -0.176 -0.011000007 -0.264 -0.09900001 -0.264 -0.264 c 0 -0.10999999 0.066000015 -0.16499999 0.18700004 -0.16499999 c 0.176 0 0.75899994 0.033 0.93499994 0.033 Z m 3.9050002 6.314 l 0.32999992 -3.41 h -2.365 Z \"\/><\/symbol><\/defs><\/svg><\/span> et <span style=\"display: inline-block\"><svg class=\"typst-frame\" style=\"overflow: visible; width: 0.539em; height: 0.683em;\" viewBox=\"0 0 5.929 7.513000000000001\" width=\"5.929pt\" height=\"7.513000000000001pt\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xmlns:h5=\"http:\/\/www.w3.org\/1999\/xhtml\"><g><g class=\"typst-text\" transform=\"matrix(1 0 0 -1 0 7.513000000000001)\"><use xlink:href=\"#gC2CF87D5473896407F03A19513AEB661\" x=\"0\" y=\"0\" fill=\"#000000\" fill-rule=\"nonzero\"\/><\/g><\/g><defs id=\"glyph\"><symbol id=\"gC2CF87D5473896407F03A19513AEB661\" overflow=\"visible\"><path d=\"M 0 0m 5.148 4.741 h -3.0359998 c -0.58299994 0 -1.111 -0.37400007 -1.595 -1.1110003 c -0.143 -0.21999979 -0.22000003 -0.36299992 -0.22000003 -0.41799998 c 0.032999992 -0.08799982 0.044 -0.14299989 0.176 -0.14299989 c 0.07700002 0 0.143 0.04399991 0.20899999 0.14299989 c 0.35200006 0.53900003 0.792 0.8140001 1.3310001 0.8140001 h 0.8469999 l -1.045 -3.41 c -0.0769999 -0.24199998 -0.109999895 -0.385 -0.109999895 -0.41799998 c 0 -0.22 0.12099993 -0.32999998 0.35199988 -0.32999998 c 0.12100005 0 0.23100019 0.033 0.29700017 0.099 c 0.14299989 0.132 0.1539998 0.16499999 0.19799995 0.396 l 0.7149999 3.663 h 1.7819998 c 0.38500023 0 0.572 0.13199997 0.572 0.40700006 c 0 0.25299978 -0.19799995 0.3080001 -0.47300005 0.3080001 Z \"\/><\/symbol><\/defs><\/svg><\/span> sont des constantes \u00e0 d\u00e9terminer.\n  <\/li>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<\/ol>\n<h5>Exercice 2<\/h5>\n<ol>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<\/ol>\n<h5>Exercice 3<\/h5>\n<ol>\n<li>\n<ul>\n<li>\n    Appliquer le th\u00e9or\u00e8me de la r\u00e9sultante cin\u00e9tique au ballon.\n  <\/li>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<li>\n    La trajectoire du ballon passe-t-elle par les cages ?\n  <\/li>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<li>\n    Comment s\u2019exprime la force de train\u00e9e ?\n  <\/li>\n<\/ul>\n<\/li>\n<li>\n<ul>\n<\/ul>\n<\/li>\n<\/ol><\/div>\n","protected":false},"excerpt":{"rendered":"<p>T\u00e9l\u00e9chargements Polycopi\u00e9 Flashcards Anki Corrig\u00e9 du TD Coups de pouce Laisser la souris\/taper sur le texte pour l&rsquo;afficher. Exercice 1 \u00c9crire la loi des mailles. Comment tension et courant sont-ils li\u00e9s pour le r\u00e9sistor et pour le condensateur ? L\u2019\u00e9nonc\u00e9&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"more-link\" href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/psi\/physchim-psi-2526\/methodes-numeriques-resolution-numerique-dequations-differentielles.html\">Read more &rarr;<\/a><\/p>\n","protected":false},"author":26,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[430],"tags":[],"class_list":["post-36996","post","type-post","status-publish","format-standard","hentry","category-physchim-psi-2526"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/36996","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/users\/26"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/comments?post=36996"}],"version-history":[{"count":3,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/36996\/revisions"}],"predecessor-version":[{"id":37916,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/36996\/revisions\/37916"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=36996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=36996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=36996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}