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| | Error types | Approximation errors, roundoff errors | | Approximation errors | Discretization error, Convergence error | | Algorithm assessment | Accuracy, Efficiency, Robustness | | Normalized form | $ 0.d_1d_2d_3… * 10^n $ | | Mantissa | $ 0.d_1d_2d_3… $ | | 32 bit float | 1 sign, 8 exp, 23 mantissa | | 64 bit float | 1 sign, 11 exp, 52 mantissa | | Linear convergence | $ x_{n+1}/x_n \to constant $ | | Superlinear convergence | $ x_{n+1}/x_n \to 0 $ | | Quadratic convergence | $ x_{n+1}/x_n^2 -> constant $ | | General rate of conv | $ \vert x_{n+1} − x^*\vert \leq c\vert x_n − x^*\vert^a $<br><br>c < 1, a = 1 -> linear<br>a = 2 -> quadratic | | Bisection error | $ \vert r - x_n\vert \leq \frac{b - a}{2^{n+1}} $ | | Contraction mapping | $ \vert g(x) - g(y)\vert \leq \vert x - y\vert $$ 0 \leq a < 1 $ | | Contraction mapping | $ max\vert g'(x)\vert < 1 $ | | If contraction from [a, b] to [a, b]  (Banach) | There is exactly one fixed point, FPI converges to that point<br><br>$ \vert x_n - r\vert \leq \frac{a^n}{1-a} - \vert x_1 - x_0\vert $ $ a = max\vert g'(x)\vert $ | | Global error poly | 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) | | Poly error at x | 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) | | Chebyshev nodes | ![](data:image/jpeg;base64,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) | | Lagrange | [Video link](https://www.youtube.com/watch?v=WCGKqJrf4N4)<br><br>y * l | | | 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FuJcg5Cll/Th1axrdsOx7QdP31o2dBQjmWV2z5eOjUmxuT8tUgHkzL9Kuq3LW/9eNa158Ppyqui79OFKU5cSS0pSsOgpSlAKUpQClKUApSlAKUpQClKUAqp9APybfn+UC4P4rlq2KqfQD8m35/lAuD+K5aA+r//AD+6T/8ARri/h29WtVI6w3A2tfWPS6adxku7bNkJ7kVGNjXD5UeQkm4ZcqSIEeORDxVJO77Z/wAW7+7EyvqKAsqlVr3fbP8Ai3f3YmV9RTu+2f8AFu/uxMr6ilwLKpVa932z/i3f3YmV9RTu+2f8W7+7EyvqKAsn2OSv2q17vtn/ABbv7sTK+op3fbP+Ld/diZX1FAWVX57HJVbd32z/AIt392JlfUU7vtn/ABbv7sTK+ooCyqVWvd9s/wCLd/diZX1FO77Z/wAW7+7EyvqKAsqlVr3fbP8Ai3f3YmV9RTu+2f8AFu/uxMr6igLKpVa932z/AIt392JlfUU7vtn/ABbv7sTK+ooDD0V92mtP+UAP/L8RVrVzVpLrHbkdd2rTl1bV77ORvZN032VoSavB0LFpcXIDfgPNIuEuP+kS8arL7vtn/Fu/uxMr6igLKpVa932z/i3f3YmV9RTu+2f8W7+7EyvqKAsqlVr3fbP+Ld/diZX1FO77Z/xbv7sTK+ooCyqVWvd9s/4t392JlfUU7vtn/Fu/uxMr6igLKpVa932z/i3f3YmV9RTu+2f8W7+7EyvqKAsqlVr3fbP+Ld/diZX1FO77Z/xbv7sTK+ooCyqVWvd9s/4t392JlfUU7vtn/Fu/uxMr6igLKpVa932z/i3f3YmV9RTu+2f8W7+7EyvqKAsqvz2OT/cqtu77Z/xbv7sTK+op3fbP+Ld/diZX1FAWVSq17vtn/Fu/uxMr6ita15yWnD6Rfw7JjeS7+N2W+Nk7QkyVa7XiT2obDgz8XKgLcpVa932z/i3f3YmV9RTu+2f8W7+7EyvqKAsqlVr3fbP+Ld/diZX1FO77Z/xbv7sTK+ooCyqVUkxzk9ObfY8srOsLxjWSZgBOXloSaKQkZ4DxE38YiEf2q2Pd9s/4t392JlfUUBZVKrXu+2f8W7+7EyvqKd32z/i3f3YmV9RQFlUqte77Z/xbv7sTK+op3fbP+Ld/diZX1FAWVSq17vtn/Fu/uxMr6ind9s/4t392JlfUUBZVKrXu+2f8W7+7EyvqKd32z/i3f3YmV9RQFlVU+gH5Nvz/ACgXB/FctZ3d9s/4t392JlfUVpebNJJy9sXZLt0HAJPb4n1U03KBN1RHey66Z8mYF80+KgN3e/52rL/U05+9j631aG9/ztWX+ppz97H1vq72WA81riFK5s51nOWu/QDUDSyNiYeMeW1czx8dzquUjNwzjm5tM3CRAQYYA4MzzA+AK+eeFzmLp0K9pkPp7HRUhL3BJoqyO+pGqk2id4SQJXgMOM1XTcA/bqleUfE0SYfyOlaVDENQ2bW4LzbXLK2rGQtpJNFlXfTeThqiqltTN6kYADQPI4zzDj4Kr+1OcxaV1auXZDRd+We+sC3bQYzxTraSSJJBZVw4SV2rja7IAAEg8jGtq9zRzsvEdWWc6S86VE7P1a0r1EkHkVYGpFr3G8jxBV0hES7d0aAeWYJGfBS3tWNMbymJC27K1FtecmY0DN1Hx8s3cKoYHieYARmHHwUJJZSq1i9eLAjbJgbq1Lv+wrfVnUFnDckLlSVj1wSPAzbulQS2ocYeJ1zwr4ujnMaCWc3tl/cGrFtIM7vPCGdi/BVu6Dj8LtQ4AS4THM+DPg61CyzaV4MH7OUYtpKNcpOWbtIHCC6RZgqiYZgYH5Fcp2FrXzjb00MnNfUrm06btYJeZMoF1b7tIV28euqJjvu/+CIwS6+yMALxalmVcRKqzYTrOlQKzdbLAu2y0rwVuGPihSgWNySzR68AFYdo7b7cCd+9Bhnxn5B1qI7Vd+/5wD7TpJaMVtdGw2l0oPh65Gq9cJZ7XPDZbJID6n7dU1Y2nq2zt6GLeyyz2dS1KVGrL1L061JTeLafX5b9ypR5gi6KJkknuwM+pnsjPCpLWggOmXui1L+l/wDKo+p9UB0y90Wpf0v/AJVH1PqFClKUJFKUoBSlKAUpUJ1Xvh3Z8RGsYJJBe4Lpk0oOGTWHJIHC2ZGqQ+MKSSSqpj42yw4M6wom1KpvVDV9/pZqJp9b0zedqx9tSrV85uOQnUN3NBu3BIAcb1vCSKWbhw0SwNIs9rwdSrfaumz9qg/YOUXLZdIFUlkjzBQD6hAfjhQk9aUpQClRNbU3TqQmndjRup9tJXKC3R5x6Uo0N62dmkZAG75Z7XBIzwIOoB+RWLpTfDu84aSaTSLdC4LZk3EBMpI8uKW8JYECwifVFVI0lQHxQVw48KzGG1SbUpVL3/ryK+pzDm/6Q3TZqmoLxk5fPOl19u3ikUhEgBVqkqCqyquQ4JAYGCWap8AACqRsSRa+6mvNKtN3k9BsAfXDIOm0NbzFXqOpR2qCTcD+ZmeZ/MA6zdNbFitILBFg/lRXcpCtJ3BNuzxN8+PjcPVT/wD7ABAOoFVRqkczcnOE5vFiXKm13hoMtd0um0Iyab41ZCgGyz4zAVXR4Z8fUq59VLGT1P02ufTpaXcRYXLEu4k3qI5EhtUjHLHx+t1PHqdZbNmXF0/N/AtbmZVbDnl5lXtechdMjP2KMfpGY23qRLbjb793M7KQJmDc3Csgqy2B7JLZJZpBtSMwIMxb54Vbs9fVk2q4SbXReEJELqhmknISSTcyDywAyqqobQPUE9U7N1PvLVyMk/ahGO41KJj7X3JkAK7INq3E3SvKirgliZltcwIwHZVeNXTBnPect4qTQfWm2L30/to5nUi35C5ZNv4VAZFvvCq2Z/3QfM+ZUa54rNtctt2Lp6FmJXPJ3HeUcbViTVJU0gaZunCuavA38EkaRq+ICp9fqVaWkVnyVgabwdny6zdd5GN9iqo2IzSLjMuDMA8utNqLppd9y3rb9+WTfEbAyMJGyMXyDKQhSiOydm3M1UgB032TgN3wyLahgZcNR7pd+I+NMb3T1ts65GF62O1YLR0zI2nNxfK86RZOCSPAtkqaSW1SMCDrpCfXDHgqPaDz0la90XVzdrmfqu3Vlbs+t525VM1XkA4z3fMj65tzBVuZ+PsgPx6siwbDhdO7bRtqEJdUeRVZ26eOiEnL52sZKuHS5CIiSqqpmRYiI+SIjw1UGqavtV532i1yIcI3XFz9pv8A5wAkk9b/AG0j9Otu1l+76dfMU11b/rPy8joKlKVZIpSlAKUpQClKUAqG83D8h3r9PJ/+K5amVQ3m4fkO9fp5P/xXLXO1O1kbS9/ztWX+ppz97H1vq0N7/nasv9TTn72PrfUssBNriOeOcFpe81L140nYSFtvpC1yhLwjJtymgZN2wO2SSQAqfUDPjw/QqhJbRfXuY0guib1LtKQfXjHvLSs6GQaBvSrmIipJuqrIYpZ/2gzNU/mJBX9AqVSpBlbO2/nWnzJnNY5zs+hxdrbpbqDcd1ayScdY0rLxCty2JMrx6bf8vxbIMnrdvngCphj1PmYVqddo6YnG3OM1Ua2bNRFsy+kTSPauJWLNgS7lI3RGOyVwVAhAg6wV3PWovC0revy15WzLtjRkIWbamxftiVMNuiY4mGYEJh+xXJ7O5a0Xv40uLpaRqtW7uFbzkJ9Zd8633HbT7TSz56yCt3S6Wt91OyrDcAdO3rRIGjRHx1QSMTV2oZJD4h1t7Wt67bvfaCWxB6RXBZTvSrjuN9IMN1btUQjzamyaK9R2DhUwPNLMMAzPA+CutmDJtGsUI1kjsmzRIEUhy6oAGIV712ai1atPb1rXmcKVuRVbOilORxToxpfezCQ5pZ3BYcqgNpQl1hLk7jjDoxyqkAJbXMPBGfHhnWJadlX3ZelulMi/07uUgtTWGZln8eziFlXaEcqrJAk4BuI5ml+EJHwB1SzruGlbdrSztvO05LHOytOZjRb05KNbPzZu2ZOkAV3ZyGCqGYdQw8sK4LsvmuXO85sfLNnas+V5wV2Sc6dpTb570ZPtEZJVXclY1Ut3xVS4wPZdfE/Lrv2lS6XtJc7K8iEa5YZ7epw3qG1vOUkdeX8NpBe6gasabwrS2mycCqODhJq6SVbuDwwbqpGqHAZjn4mfBW0vfRbU+9HFy23CQ8hHupXQWJt5u7UA0m5SIO1TVZbXqAZhwH5AHXaFKmOlq57acyvWtn9n8Dnbm92029vB3aq21bGTb20jBuvbbER8ayagCoGDRLd2rfeDA88FQ2qWGeB8ddE0pXWRzVYkB0y90Wpf0v8A5VH1PqgOmXui1L+l/wDKo+p9WFilKUJFKUoBSlKAVTutyRtdTNFLkcfk+Pu1y0XLxElncU6btz+tMEv87VxVqrrteEvGBdW3cDXeGbrDLAsDTMDzBUDDjAwMAMDDjAwA6FHPeojZ0rrtddwOtLp+47ibWu2t2w0hh3CsaZuAWN04VfmO5NeNUUj2pirsm5YAe1ADuTTbTlTT3SC2tLGU84SVt+CbxISjRJLa5pJAO1AFRMOtx4mBhUuZIG1ZoNlXKrkkkgA118M1fnngIBn+hXvUokVjnt61DvNpZ7OhA+5zeH/1+vv/AKlBf+m1rtc3F/21oPcp2AtNzV0N4vd2rls1FWQLMxBVwCSQABqgBGqAAHGYYAFWbStZZLExWi0jk6yIuKkecLplD2fo/dcHYWnlqShwkpIW46YA6fOzBJUz3gANLgSVz3jBVU1drgYYKnZ+h7c3WomtdyN/yfIXki0al4iptIpk3cGH+dAw/TSOrbetzdM12yTxVsSqRgK6GG1S+eGYmGf6YVg2va8JZsCztu322wYtBPACLIyMzzNUzPjMzMzMzPjMzM6Jo+7jW82vhMODgbhjbkuCYlL2eysfLKtzjYtdq3SSiQAMTBIwDNXM+PjM6rrSJBzc2tmrepa/EzRdMbLiS/4GPSNVwYfM3t6qH+aqxr4tNW9reOBbXfcFsL7du4SkoJdJJ0kaSoq4+FSVAxLDEwMDAxIwrLta2IezYFtb0C2NJo0z65GqapmeRqmZ8ZmZkZmZ9czOpXFnPtoGw5z7Cjr25N058ul7hX8U+se4WqX6YOGpH9irzuOLkpmFcxsTcL2BeOA8FIMkm6qqHH4gOANH5nGB1SnOeS9qV6aP63Fws7SuromWV96jpVLdTVP5gON0q/v8NbZaLOPu39eYev8Akl70enIq/uT6l/Kcvr/smA/9Orxf6c35Fs15KU51d6s2bQDVcLrxdupJJB5ZmcbwVa1RHU2yIq+rfZtpm5JCDZw8o0nictFUkv7IrtQBXaiYbLg4600hNuWlcl4RvTFpc8C6JxjmYb3Gs7adJZh1wzBhhW07k+pfynL6/wCyYD/06opofb8lKa16m60Ch0RA3khFt4iNU8E4fItQIDlVUvE2uWCWfGQJAZ+LV903Se00NmW/PW1Hqs7hvyYuxdZfai7kmrJBVIMA8EANEEgw8fjDPjql+cXy8rnXvm5x6P48rqlHX7CUUvn/AKVdDVz/ACifdB56UKCHhWOlFpOXbovECRlSBJJL9Pd26p/thU/+irnRp5G7rfD56OZ0BSlKsigpSlDRSlKAUpSlAKhvNw/Id6/Tyf8A4rlqZVDebh+Q71+nk/8AxXLXO1O1kbS9/wA7Vl/qac/ex9b6tDe/52rL/U05+9j631LLATa4hSlK6HMUpSgFKUoBSlKAUpSgFKUoBSlKAgOmXui1L+l/8qj6n1QHTL3Ral/S/wDlUfU+oUKUpQkUpSgFKUoBSlKAUpSgFKUoBSlKAUpSgNLetnwOoNpy9k3WwF5ETTNZi8Q8oDD7B/PqNaPJX/DQKlk6hpLPH1tEDFrP5BhOtMPBOD8hxhwKgfjhmHAdT+lYBUdv6wbe1KthzaF0dJdGujA1RYSLhgqWB5h4VuQH1w8upFStKIZYWk1q6dPJCQhHlyvnkkkiiu5nbjfyyuxRzIAAnaqpgHhT4Q8upnSlCTS3hMzEDbb6St623E9JpJfgUaiqCW3WPhADVPgAPLPxAqNaN6aOdPIF85uF8lK3Zcr85m45JMMQdPjwHBLyEkgAEkg8gA8fOp/Ss8ZQpSlaSKUpQClKUApSlKAVDebh+Q71+nk//FctTKobzcPyHev08n/4rlrnanayNpe/52rL/U05+9j631aC+lQS1Ysw1TAR6GnOsXsf3sfW53xp5yl6dLLATa4j2pXjvjTzlL06b4085S9OuhyPaleO+NPOUvTpvjTzlL06A9qV474085S9Om+NPOUvToD2pXjvjTzlL06b4085S9OgPaleO+NPOUvTpvjTzlL06A9qV474085S9Om+NPOUvToae1K8d8aecpenTfGnnKXp0MIPpl7otS/pf/Ko+p9VeaYumwXFqX+Epe63y/8A7VH1Pd8aecpenQ09qV474085S9Om+NPOUvToYe1K8d8aecpenTfGnnKXp0B7Urx3xp5yl6dN8aecpenQHtSvHfGnnKXp1jv5yHi2K8lKTDJmzaJG4cOVlxSSSRDiMzM+oFDTOpWot68LSu2HQuG1Lqh5qKdZ7B7Hv0l26uB48CoFgfGNbHfGnnKXp0Mme1K8d8aecpenTfGnnKXp0B7Urx3xp5yl6dN8aecpenQHtSvHfGnnKXp03xp5yl6dDT2pXjvjTzlL06b4085S9Ohh7Urx3xp5yl6dN8aecpenQHtSvHfGnnKXp03xp5yl6dAe1K8d8aecpenTfGnnKXp0B7Urx3xp5yl6dN8aecpenQHtSvHfGnnKXp03xp5yl6dAe1K8d8aecpenTfGnnKXp0B7Urx3xp5yl6dN8aecpenQHtUN5uH5DvX6eT/8AFctSzfGnnKXp1EObcfIcDehhxD7e5/8Aiq52p3sj11T/ADmWZ+qJz96wpTVP85lmfqic/esKV1scB5PSf9gpXOeot584aw9Q9OrGS1AsR2N/yLuP3krNcBue7oEvnh0jx544eJU6b6x2/ZFxtNLNRr4azV+Pdi4QZQlsvUiVbrGYgWyAnHCOyPNXPAPHwzCuiNM5OkS0qVX8NrtpvOXc2slrJSqEnIKuW7ApCEes275Zv+NBu4VSBFwYYH1DPqVqITnSaJ3BJREbF3PIYzsirDRz1eBkEGTp8JmJtQdKoAltcwPgz46qcyYOha9Kr9xrxpi1vArGVnnfSCT8IlVcYt2cek+MMwaG9BLdwcHmHgjPPjAOudYSXOH09cXhFWAQXXHz1wGsEWhJWlJNQX2QZKmBKoAGAeOeeFZJIyEXLNpVR25r7ZiGn9p3DcF2+2F9daSy0b7X7ZkCVkQAzzVSYBvDgAAMMzPg9MK3b7X/AEpY2fEXtyXMbyMn3nR8YmxYOHTp474s24NUgNxtQxLMMMwxPPCtEWLBpVO83fU2R1Pc6kyDmVdvI+LvRaMiQcsDZKtWgMmpbIkjAFgMFVVfxoZ1HLyuG9p7nXjpQ11TmrTtxLT4J/ZxaUfmq76QNLIzdoK+J4nzKmtbo+LpeVCut4etx0LSuedKNfQYSF0W3f17e2WKjb1aWhbl0JMg/wBlXLtIFd3V3QdltUjzSNUAAP0K2muGtQsLLng03uM0Jy1bsgIKWLdfxG9PWuaXhQwPNuv1w8ry6qr3xjvR43daCDVzn2F5UqAP9eNMY27ysp1POukEnqMYuulFulY9q+Vw2TRV6CW7oqnmHAZ58YeWFT+tuksicBB9N/dBqJ9Kv5bH1OKg+m/ug1E+lX8tj6nFA4pSlCRSlKAUpSgFRLVe8j0+0zuW80ETXcxUWs4aoD11XOHgkg+eauAft1LajeoNixuo1rq2xKP5Bikbho7SdsjS2qDhu4BdIw2oGkeCqQcBgYfMrlarNYnSyeLSKg5vr3UfT6fgNBLybQSjZlZDeZFVkKu9M3AONkqDpUyMHBqmRq5gCWJgYYH16uSZveHgXhMHrO4FVcc8mlvyD1L61JIw+3WNZGn8bZakhJFMSs5OTBAUjMyyoE7c4figxRAEkgADPBJJIA4zLDMjM5RXdthFdJpYS74q4XBNmDObSJIMzJ9BvWQem4SAD/QqFXjqJdjq9H1gacFBNFLfjQlrjm5tBVdpHJK57u3BukqkaqqopKmZbUASAAPizAKs+qhvfm2W3fUheazq+byio/UBqCU9Fxrpuk3dGDfYArmaBqgeABwArsjw4wMMwPjaSjq5znQXZRlrEh0Fve59S9Irav8Au9hHsZC42fSG7MhPZJN1TMm/XI8z2WyzPy/EDqVPa09nWu1su1oq02T569QimoNElnZjtVADy8BEP2AAQDqAABUAtHUvfYO7tY7geSRW1Hv3cdFso9mq6MWjJwbdVxsm4mqqaqoKn8xIA6nGZ3aNZoze6Sqs6lr0rna2NWb2d6XvOdBP3A/Qt9SHfO2tjrQgNgHjDo8gcKiLjamAcZ5mke8eCwAMztNK42el9hs5XVO6tq+VMAdL7IyN0+V/2u0bhmZ8fAkkkBmeAdc6UuTEPhJtSqau7WmElrGntS9NJ5687m7raz0eowcNdqiCQKu2iqThIDBUG5Z+WkqAAfjhVwNXSL1qg8antUHCQLJEPjAdDD1pUbcXhstRGdgbhlvcI5md72vU2ThulssMP+MZ55+JW8kn6MXHupJ0DgkGiRuFRbNVXCpAAZcCSQGZn8wAMzrdyY3omRSqH0z1LufVoH+tTa75G3bDhZSQQCBdW7sxk45uiY70qq4SBUFTV8KJpFsgENkY7XMx+bgv+7Yrmt3DrNI3I9iJyYien44UN3/2O2oBuTUN4E0vHSAzMDzM1T8jCGaCyLWyk0S+qVT0XqAV96cSTWwr6Wkb4sti1XeEuyUab47Fttg2ySqSWTV1xYqpBiQnkkXANfdzap4ad2hr3bzxX2vOwjnEoxV6hRz00gNX5irc1QPPyAVDx+Ct6OdYlb2WRb1KUrSRSlKAUpSgFKUoBWNzYPcxeH05nf4ismsbmwe5i8PpzO/xFcPSMJ6vRcRk6p/nMsz9UTn71hSmqf5zLM/VE5+9YUpYYTPSv9hT+sOn123brBozdUDGAvGWlMyLuWX3gR2CKrIkgPAzzPj8isuLsCeQ5zFx6lrxSXRD2zY6GZvdqGe8A6cKqpYdcOA0vmVatK6KkGlnTS45M8ljnbecpN9POctemoenFw6ksnRe1K6nEnKET+NGKBvu7hJI49JId7IMFQ/tB5/p+JB9E7S1E1X0LsnT2Os9JjbjK+3c88uZeRS4W7SacL7JJuHhd4Mxw6mABx58eFdy1hw0JCW5HjFW9DsoxiBGYNmjcEEhMzzM8A8szM/26LZxjT93l0Ka2kue/qcyxvN9lbevScjZTTeVu6NmLvO5mEsN8umEe1BV0Do97YbfjVSV4wwSMFcAzMK2+lETqoerNx6lapaMzqU5Oq9ExbsZSKVZQEGB+CSDB1tjMz8KqYJcZ4eRXR9Kz1axu/by8iGtWaXiOUNKtG9XdIGemF8pWYM9JwVoO7TnrdSkm6ThDau9uDhuqZ7ufGOBhmHBh18MK+IbQfVqzZy0NYOgWU9NNLvuK5Jm1mUikANUZhIEsGiquCJqtwAM88M81a6ypV3XNfTMq314mtbSz3XeRUmgFiXbZy+o8rdsalHFd96O7hZNhdA4NJsq3biGZhwZ+CPgqOXhoG31B50p3xflgw9w2T3PuhBUkkm7gBkekDVwBI+MD2R/jQD9ur+pWVRdXw9LhR21vF1vOS3+i2sdvWDAabxdq9PRml9/RM3bS6T9okrLQaRmW78Zhg4b54Zq4AeIHnXpK6K6u3DCanu3NpoM315X/btwMWIyjdUxYtVme1JU+oJACBHj6GddYUrFSLSz2dKG1tL8/r1qcshzfZWGvi6GcppvK3jFXLdftmZSSV9Oo1k12qoKmDtkC/GaSoZgaSSufBnhhXU1KVqrFYnNmm0iD6b+6DUT6Vfy2PqcVB9N/dBqJ9Kv5bH1OKoOKUpQwUpSgFKUoBWlu20mF5RYxUi/m2aQqgttYmXdxqufH/etyA8OPqZ4VuqUBW3cCtP426l/94M196rUXLpfppaTdBzOXtqgJO1dk3QbXvcTpwueGWCTdJc1T4AM+AOoFXBUJ1GY2YyeQl/3DGvXkvbSqwQKDJdUXC7hwlsjbgkBACpmHl8AYZ8GGdS50SRErQ020rvyH6etLUXUOTY7U25klqDOiaSwHiaSoG6zSVA+uB4GFbruBWn8bdS/+8Ga+9VrObxYzmy2d5vJ6SaK3LdF0OZ6eZNCzbxjhwkkYNQPx8EtlmfjmdW5VQ1SJaxrLcgWdrwraEYPJNyg0zxUkpJw/cFmZlxuHBmqfX8c/mVzYAysXzWbj0cYGaVyq3BI2GI/3onISB4OP+pOt4/Qrqaok10qsBrqE81USgf/AGokEEW674nSpB4INkBgkZbIDwIw2oBngZhnxnUMqvqthz/RatHW3iL692a5dc3ueti2Waq6sVGt3DJsl119yNJUEg+eYN8K015FeE9qlYupdq2Uvetqt7cdrRG6SLVukzlHZpbJ643hUD2W6bUdqkCpgCqvAedXdWBCQMVbjMo2DZgzbbU1QQEjwEzPM8A8QMz6gcFLp2kmJSsFipzZEw1+WbzV9SO6TaoRl7Xg8mTVaJuG6u+SMme7tAS2RnweFbpBmefBx4V0LEWui0smPs945d7JvHJR6qrZ0q3V4EgHMFUjAwPg64HWc/gYqXfR8lIswXXilTcM9qZ4JLGGOeHUzwMwz8TM/LrPrVSKxr4eGwpmlrfFxKRdaMQ/duilgWvgoz2qPgVd+22a4Vt6a4JbxvWYcGZ4Z8eGfiVMdSZTuX6O3C/t7fXLyMi1gixcvFXThd8rwN0tqqZmZmqYBx59ep7UXkdMrJlr1aaiyMOS89HtQaILk6V2QgBmQZt8tkZgZmYGYZhnwHUstWs/V7utzMRv8nrc9hHonSc4Hm7paLM3OS7e0jgdv5S267I1fT46gL1pNahaD6VcsZZbq5GDB7EK3NBt1WouuXckjzQwdKpJZA9SSEwJUeAD69dD1gRsDFQziQcxbMGysmvvbrEzwVWwwzw6mfB+3VtSdoze9H7f7MStyx+LiVlbzB/YbHUTXLURFKMkJtuD5WPSXBfo6OZNzBu3Mw66vGqZ4ZhmrgBnhmcFm7Nlbc5mNr6PvwMLhm4uGtsW3ji7cGltQ/zQbUz+YkddDzMDD3Cm2RmWYPEmjpF2kkqZ4bZLjAzDx8D4+PxwA+uAUdQMU9mGc86Zgq+j0lkmqpGfgNr18A6mfBhn18KmH/z9vU2VxnAOAiFftKVZApSlAKUpQClKUArG5sHuYvD6czv8RWTWNzYPcxeH05nf4iuHpGE9XouIydU/zmWZ+qJz96wpTVP85lmfqic/esKUsMJnpX+wUpSu55hSlKAUpSgFKUoBSlKAUpSgFKUobQg+m/ug1E+lX8tj6nFQfTf3QaifSr+Wx9TigYUpShgpSlAKUpQClKUAqOXnpxp/qO2bMb/sqFuRs1V2rdGUYpOhSLygExqR0obgNHaFjWbp/E9BWJa0Vb8btTcbpGswapbU+seAePwVvKUoYKUpQClKUApSlAKUpQClKUNFKUoYKUpQClKUApSlAKUpQCsbmwe5i8PpzO/xFZNY3Ng9zF4fTmd/iK4ekYT1ei4jJ1T/ADmWZ+qJz97H0r11LbrOtULMBAMi6InP3sfXt0S/82+0NLDCb6UrVYxKVl9Ev/NvtDTol/5t9oa7nlixiUrL6Jf+bfaGnRL/AM2+0NBFjEpWX0S/82+0NOiX/m32hoIsYlKy+iX/AJt9oadEv/NvtDQRYxKVl9Ev/NvtDTol/wCbfaGgixiUrL6Jf+bfaGnRL/zb7Q0EWMSlZfRL/wA2+0NOiX/m32hoIsV5pv7oNRPpV/LY+pxUS03i35XBqNgj1Lr4uIPg2PqcdEv/ADb7Q1BUWMSlYNvz9uXcvJNLTuaFmV4Z0bKRTYSLd0TFx70qIF4IvmnW56Jf+bfaGqkTFzEpWX0S/wDNvtDTol/5t9oa0RYxKVl9Ev8Azb7Q06Jf+bfaGgixiUrFj5eNl5+StWNeA5koUETkUE+IGu14wAy6meHHhnngYH1DCtr0S/8ANvtDSQixiUrL6Jf+bfaGnRL/AM2+0NBFjEpWX0S/82+0NOiX/m32hoIsYlKy+iX/AJt9oadEv/NvtDQRYxKVl9Ev/NvtDTol/wCbfaGgixiUrL6Jf+bfaGtV0tGndRWSk8BWcBn0iq0T4jQbZ4AaphwJZnnhn18DwzwOkhFzKpWX0S/82+0NOiX/AJt9oaCLGJSsvol/5t9oa19xvI20IZzcd2yrCGi2Y5OpCSeJNW6AZ48aplgHGVTNS4MetKx1X7MLbK8EHIPIXcukAdsvwoFW+GW1S2We14OPgzzr3hiRuGJZz0C5byEdINwcNXbZwCqS6J8QGBh1wrSIsftKy+iX/m32hp0S/wDNvtDWiLGJSsvol/5t9oadEv8Azb7Q0EWMSlZfRL/zb7Q06Jf+bfaGgixiUrFlJaNhJiIgZZ4DN9OqrIxoq8IOlgDM0gPqbXDM8M8zADw6h1teiX/m32hpIRYxKxua/wC5i8PpzOfxFbTol/5t9oa1nNmA07bvBM+uN9T/ACcv/LvXLXl9Iwnr9GxG5vb87Vl/qac/ex9b+tBe352rL/U05+9j639SuA62uIUrmrQ+9dWteotfUuL1gj4Mmlyu451ZwwjdduxaN3RpG3dmf4XvZpBnntQAMw8EYVOj16ta0eW/JjUq/LaYwdqXGzg9u2au0jYm4SSNJJ2Z8Bnk4DjS8EIHx9Q6q/P06kumtHOdBbdKp5fne83ZoD43eoooqxSuxkUFot6LhiHDgq4SNLNJvxh+EGApcXXrd3nzitGNPZJWIuq9kkHzeLCbVbNmjh4qMcR4b3g3AvBcHGfUHx6q8QYsalVvN84zRmBGON1eqTkZONCZQKNZuH4BHH1HSpt0j2Tc/fVcAr3uDnAaO2vcHtYnr4ZNXyW7714JU27HePxIu3ADsWhn4gKmGfiUvMuLBpVYXfzm9DbCuCVtS679SZScDu5SiO5OFRYg4w2SqpgkYAkeYeFM8Az4zrLlJ657e1FlbvuG5GsfpdG2kDtVVzu4oi+3hUlXG1/G4A3EPmcYVM1NixYlKiFh6q2PqWbwLPknq6keCJrpO4t2wVEFc9keLhIDMDwPAw4OGqp1IuvUiW51Vr6M2zqXJ2nAyFlPp50Uawj11VXCTsEg43bdXgwOl+sq+90vNpTVZjoWlc8afc4FS2rsv+wNWbyZSzSz5uGh465kGGO/OJIPBMnCTcDAHQHwGYAAcYcAVsucLrqFs2BewabXOKV22VKW60lB3PPcwkHrUcPCjgebdU+pnh8w6VrKqxzs60MjrRL1pUFn9c9KLZvJKwJu82jacNVukaGyVNJqs4/s4OHADsW5q+ICpgZ+JU6rfEaQHTL3Ral/S/8AlUfU+qA6Ze6LUv6X/wAqj6m79k2kmLqNeAZIO0jSVETMeAwxPjCoeUdUze1jknS3UHVCEnYjUXo+AVt3W3Ul2kk0c8qqsmqx3RUGT1JcC2SSQNGCJ7LZHmGZ7UM8K6muC6I22hQUkW0wvvGeHR8M7f8Ap7ukeH7dQnTfQeB08WinK92XLdS9uRvQ0CU2q1wimmABsm6TRBulmYAA7UwNXAcM8Ks2umFYrmgfXaRGI3Ua3pR8gwasLoFVweAE5teSbpftqqoAAftnWl1S1DmLXeQNk2RGspC8bwVWRi0npmLRmikGbh64w4zSSzDwQYmqaqQZhnmFg1X1/aOR98XhDXy1vS5bYmoVg7iwcwqrUd5YuDSJVBXeEFfHbhxpYqh4hVlSqXGl0K1B1CvmWv8AYXopbjptZ9we15m9hmSrUHyqTdInapgqurh4VXDDPgwPjOtxr7qW80q0xkLjhGyTy4XareHt9or1HUo7VBBoB/MzPM/mAdfWi+i1t6G208ta15qdkGLuRcSY9LOhVNM3CpqmAGIhnxkfGeavlmWAYQDX4un9f+b/AGGrxMzm5e5nA+UcfHnsv/FdBUte0Vp3S58yU1WZq+KPItHSnTxnplZLG2Uni0i+43ctJL8nhZORV4nDtX55nn+jwD4lS+onqpqVA6QWHL6g3Q2k14yEam4XGPYKvFSwDLqpCeAfPPAA8cwCqnhNQtTba0oc6+3vcrqQOfhmhsLKXgxYJR8u4cAk3bpKmkDvAjVSSPeMszzVDEDAK2jSbPyEYxOhKVB5G9IjSi0Is9TbtWfSbowaCTZgbh3Juz4jSaMmgGqr4/AkBmCQZn1DOojP66wLq3WOrtgXIclacPPBb1xoEwNIMFXCSBqhtQA826phnhwYbwHXAMKv1ok7si5qUqOMrybPNQpfT0GaorxUNHTJOc+Agdqu0gD9jcj9Og3ZkjpSqk0o1zW1S1S1Bs9lDghB2khFnHPS68jvYOCNx/zXggw8sOPqGFBuzLbpSqW1m1ifwl92fofZ/TTG5b1dFyKzCcA6dN4yOAPwhwipsjbmrnsgHLNJI1QVWHDgPL90snurGocVpLpvcepEyBqtrfYLO9gPXXMOokHzzPAP260Wg9iytm2UMteSgubzug+m7od+U+VH8UH/AATcMEkg8hKqt5xkXcjex9I9Kruuxa6H1y6jQzGTkVGCTUnzZuqq840keAOFqkB44h4+IV0s6bIyDVdo5DNBwkaSo+UB1Om5mX4fKvG/gLsKt8XLlX6nNd184TVh7b8ZqLpwxtBK2LmuVja1sNJVo4Xey/K4e7A5LMHCQJJYAqYN8CMwHamqGWyHoS4LmjbZRTWkW0qqKpYD0fEOn5/tg3SPD9uqZi+Z7asbyWEmvqjqG/Q01XArdQcPWQJNGwIGhuuCTUMw2RYbU/wjyFQq+6qt8NGdn5/oNjz3/j+yltJdYGck7vFCU9t7vZXa7bstpbUqqKDbBLBL+z+C8bgPHCsvnWy8w10SnLetdFZWevAkbWi00FRSIlpBUG+YGfUwSNU8vFwqaWLZi1nq3Koq/Fz07OuJgMRx2QKgA4fYrw1H00bajIwvKdyzUBIW5KdLRklE7qSqDjd1UOq7SVSPwS6ocSRdfgwrnGVmqt7KX8LzUaNozU8UeNxD9D7tvoruvPSe729uklYqUQmwcQTdw3RFFw1z3UxVVPM0sQ8KGGYGB4B1K11nueXSDXx3pIHg7Vv1m4ua2kseBjIpEPSbIPIA9qDoB8s3FWfY1iQmn0SvGxBu3K750b6SkHy+8OpF2eGbhU/L4A4AwAAAAAAAAAKk52BcsFJ6M3824XEFqRGMSL/i8gCrNUP/ABQrpWtPWLd26v10een5EIl9my/u/wCc8S/qUqOTN5Noi9LcsxVmqqrcaT5ZJcT4Et3BIjz/AE9rW7NBhI6V8qqggmSx54gOZ4jkfoBVA6dalXnzhL0nLhsi7Zq0LQsq4EYkI97appHPgl/bd4N6kBpceaQAkYGkaRmqB5gATvRK3ZHQFKo9vqhKy+iN9a3vbhexEKbORd2+LJJvtWrFptQScBtUjA1XGG14wMMDSDDr5/OkOqC2qel6FpxGppudTYq3459KPl4ndwXcqhmDgANBJFwyVVSMNq34DDqHngdbK+rZzsECytSbAitTrLkLPljVQF2ObV2hwuGLsONu7SPxFUlRAwP5lRrm8ajS+o2nYrXaCKV1W4/cW3caSYYB0i0PZKmAeQrwKh8xUKkell+NtTdPYO+kGZMzlmubhoRZbq4A8HCX7CoGH7FVZpCpy2/zqdcbPT5cWsq3gLrRSx/qVVbm1VL/APFGmG0jmX9X8DdD2cvdz53F+1Debh+Q71+nk/8AxXLUyqG83D8h3r9PJ/8AiuWotTpYmzvb87Vl/qac/ex9b+tBe352rL/U05+9j639FwEWuI5A1S0ruXUaUbTVl82F9p9qsEu3chfraUikmjUAVDaqquG7jeHoGkBhslW/HlxgHXr71I0M1NuGJ1XZsbTUd+2TVO259gJOG/JvUc3GO3hXjPgx2CvAfHwdSuvKVVmkcOdNK8jGtJbM6K05nK2pOjOos9cvOckYu1duN+2NFw1uK7w3HfnaTR0CqXGXBxqpdfAKjMTKXtp9zlV42L0omLxlUtFINivGx7xklsHIOHA4Km4XSDZZ8BmGf6BV2fWsStm3kriXu1KEYjOOGoRyskKAbwq2A8gSNXr4ZmZ4fPrPV3Vvzsr1NZp5+D+JxOy5u2rulunVuMrBtbUBnqfE2vuiU/aU5FDDruTcOF0o+QbvVQ2rdubjrgkZ4GWB+JUlfaaa8Qlg6xaPnpcN1PtVX7uQa3MjIskoxqcg3SSV3sFVQcBupAeGySVzAQrsb2f6eXkpW1VWlLe56RW0asW9043uHm8aoowHONhWMItLr3bY0FA2++UcNxOYcNI00FeufB4Xy8OvXQ10WijM6FubJuGyVrmFe3wj3kEg7SbqvPBCBpAqZgAn5BZj+nVhUo1JXy3vz1JWt0Y7v46FCc2yB1ft+euONurkvsLFSZMQgUL6fx7yYTd+F3gdqyNXNvhssNqZnnnWu1N0DDVDnW21dt66eR9wWOysZ9GLqyApKpJSJuxJINkfHnhnxgH7ddGUo1JMrNu/xrTmalY1aOc3HFkpoJqnZOkDrRK09PeSViLFvyGuO13bJVk3VmIkXoulUiyVD8Lb8YGauG1EALLPOvq69Itab6b68zxaVyEKrfc9ZjuEj30jHk4Xbx6rfeDPZODBLAEjPDP9DOu0aUXVz+nSgv1s9/U5DuHQKYZ6gajNrh0uv2+IW+p5GeYOYG9zi48c0khNvINzeJfijb5gqCSuYYeOGFdedSlK1dRVUxtdpEB0y90Wpf0v/lUfUwm4vpyJeRXST1jvaWx3lkrsnCXzwPxDqH6Ze6LUv6X/AMqj6n1aaVf3Cv8AHHqh2h/1VfiuhyLdM1nGs2pqSSQ5mRXHgAh6FWjXPvPydXGhzY7mRt1YElHryMYvCLPAWKsg3ScZ4f3WJmB/MM6xzFNtb9iWjdK2xt7nC6hPy3UHobG5stq3PqOA8FxpHiXhQ4K3ncK/xx6odof9VUdtq5BhOdO70wf2/CvHrqwW8ylcLSOBB6kkk9JvuSpB12+ZZpB4nF1+vV48n9fLW3rGWdtxmtOOdl5HbKs32mtXLb21XHObwrntJt/vRpfMDhDAKqDVgd154Wgz9X8U7i7qYj/z27t1f9ADroKqG52Lc7fi7F1sTSMh0yu1pLSRCHGMQ4A2b0v2EnG1/QSqa19Wy1zraOZVMLG350DNzdVkw2lDAzFfUC446GVx64sQPenp/wDV2qoft1686hkt3I+m0gMkLXnoO5HopeaMpJu4cegkkZ/sVLrf0wsC3rvmNRYOGxnbiLbPXZPXC4nmCQmSIGZA3zBu3z2QBtdklnngFS1VJBwibZwiCqao4EJDmBBTWVfFi8uGgyay8JQ16MdVmWuTvUC2dNVrxZcloIxdpOhlGSDKMfKqqqvTcCqqCo7UAZcbcFeBLDhqCLWXeNtcyBPTe87fWir1u10jHOWm8N1VVZaSkslVc25mHXVVV4DPwQZnhxgHUtu29F2rCNLehUiRYMR5UmqZKGpsg8QAI/FDqAPijw15P7bhJWdjLhfsuVd7D7bcDNU8EDVHA1QDqZ4cGfXECMfHKsVY6udt5s562dlxmv2AP2JMFXLtITw8KguaSvphVPw1hh3wl3mUlcYtvafAYL9KOOM99lcwzy48ODg+f8+rppVmbkM7SL3zacxcljvLSt65OiF3SQNjeuW5vMkcg2oHgqkfGGYZ5iYZ51S+iVm6zW9zh9Rrku+Gj2ttTbCGaMHLSGBqi63RuqHgg39U24BnhxgefiYV0hSp3pG7sSOe08+6CN+e224sQiejOgt8Dor8btd63fHPePEzz6lQC32a1286C6LwI8oyx7caWs18gnztXfHvoJBH+nVm3da8De9sytn3Ow5XcRNM1WL9ttSS2qKoYmGYEJhweQdfFqWrA2XCo2/bjI2zRvmfhFzXVVM+M1VVVSM1VTPjNUzIzPrnWLXW+Hn/AGGw/FnkUpzph3e+tAJVX8Q31Kbty/TVj3Qh9ur8eNd8Zrs9sqhvCRo7RAsFUs/HAvLqnud3bMpM6LPrht9mbyaseRY3iwQTDiVOPcAuYB880gVH9urWty4Yq7bfjLnhHIOY+YZovmq4/wB6iqGYH6B0stjL4uVOlTLXQyt4edetCA9wr/HHqh2h/wBVXm60XasGq79/rZqW1bN0jVVXVuPAEgDrmZ48AValaG/LQh9QbLmbKuBZ2lGTTM2jpRo6NBUQPxwVDqHVPhC4irbes2ybolF4S3+cVqA+kGiAO1WiV0fhAtz6jjDDPZH4h9Q6kHcK/wAceqHaH/VVC7ZgAvznDW/q22fbnblsW07ty3F13GTu5jVNInDrj4zaJAkGBn+NMiVDgwM+hK3dznYTrSIrZVg+0pR4t7c7rnt7EAxm5HegSw8jgDCqn56I8jmyLCix/GyWpVsNkv099Av9ECroKqE1cR5NQucVpLpu25eRVtaSru/pnk962SRtY8S+cSq6pB/zB1DY7P4l+3T5ULpW6jfC33aPMvldLeEVUSMxzDDISwMf26pu8LDDuzadmlJXGqhuc5tV+lHB7LwTfDjy4M6ualXXaKbCOT0pG6b2PNXI/eO1WMIwcSLhVy4NU8EgM+ufH4lRPm8WNMWVoXblt3GZBOOmS0jLF1TGRembpx6Crg/QqRXTpXYd6XNB3hcsIT6Tt8VQYEbxwCQgZpKmCqAHsXA5t0j8KB4GkBhxjUtqaLJWVt4e7E5St61LhujmcWdp0wtNxcZW+/joG64JFVuLpy3jJDB63De1UkuPd/HMc0jP5lWzYFqziN53Rrbfsenb7uXjmkQyiVXSSpRsQ02qobwaWSW8Gq4WMxSM0gAQECPjKp/HW1CRMzKzcaz2DmaJFZ/iqeC6wBgCuHUzwwAz65gIZ9QK+rktyIuyFc29OtjdR7vAHSG1IQXDPLA8OuB9Qw6hhmB8B0alcW8L5au7nPyK35qrByy0RhX7oFUunXspcKCa/XBvISDh0kH1TgKjVk8m+89zU9yl1Y6x7bZq/pmu8V/0OSr+AASTABABEA4RHxaoXmvoe2ud1S1yMPwa+roNvEq++xcYkLJuqHzDNJwYfMOmrW01d2/pzMu/xtLe638i/KhvNw/Id6/Tyf8A4rlqZVDebh+Q71+nk/8AxXLU2p1sjaXv+dqy/wBTTn72PrfVob3/ADtWX+ppz97H1vqWWAm1xClKV0OYpSlAKUpQClKUApSlAKUpQClKUBAdMvdFqX9L/wCVR9T6oDpl7otS/pf/ACqPqfUKFYcvERVwxbyEno1pIR8gkbd00cpAqkuifCYGB9cKzKUBHLX0+s+y3Dt7b8OCDx6CKLp2oqq4cKopfikjVWIzwDM8AzwDPgqR0pQkViS0XGz0W8hJlmi7YyCBtHTZcMgVRMMTAw8jCsulSyzWLG4Cu9HbZvDT6OX03ns5OBt/BK3JslwJVeO8Rq4Dr7Vvhhn1FQwPr5hViUpVGClKUApSlAKUpQClKUB8mAEOBhkJ1WmlVjXDpRKSFgR7cHNgEa0jby4qjtYfJXJaNMPHSAyzRMOoGaR44AZ2bSp3pG7sRWvuGBirrg31tzzbeY+Tbm0dIbU0tqifAYZhx1sKUxjAV5YegGkWmk57ZLIsxKMk91NiC+9OFTFEzAjANqR4dQPQqw6UqjDDlnTxhFu3kbFKyblugZoMU1QSNc8OAAMyAAz+fUH0l05k7V5Zm870cNn163guDuZXbcubdqADg3ZNyPj3duHB84yVPhzwqxKVgFKUrQKUpQClKUBAtXYW+bwhUrDs5Y4ptcGbeZnxcAKscx/vQbh1zcKgWAH1A4zPqABy23LfhLSt+Pti3GCTGKimqLFk2THEEkQDEArYUqcBQqG83D8h3r9PJ/8AiuWplUN5uH5DvX6eT/8AFctTanSyNne352rL/U05+9j639QjV2542zL9tC5pxrK9GhHS7Ml2MQ6f4qqmzMAMW6RmOeyP0a1nfFaY++XX2KmvutauAWitViyqVWvfFaY++XX2KmvutO+K0x98uvsVNfda2anKLFlUqte+K0x98uvsVNfdad8Vpj75dfYqa+60moixZVKrXvitMffLr7FTX3WnfFaY++XX2KmvutJqIsWVSq174rTH3y6+xU191p3xWmPvl19ipr7rSaiLFlUqte+K0x98uvsVNfdad8Vpj75dfYqa+60moixZVKrXvitMffLr7FTX3WnfFaY++XX2KmvutJqIsWVSq174rTH3y6+xU191p3xWmPvl19ipr7rSaiLGZpl7otS/pf8AyqPqfVQ1h62WNDTV8OZFG60EpW49+Zl7TZgtqj0eySz/ALL5aRh+xUv74rTH3y6+xU191pNRFiyqVWvfFaY++XX2KmvutO+K0x98uvsVNfdaTURYsqlVr3xWmPvl19ipr7rTvitMffLr7FTX3Wk1EWLKpVa98Vpj75dfYqa+6074rTH3y6+xU191pNRFiyqVWvfFaY++XX2KmvutO+K0x98uvsVNfdaTURYsqlVr3xWmPvl19ipr7rTvitMffLr7FTX3Wk1EWLKpVa98Vpj75dfYqa+6074rTH3y6+xU191pNRFiyqVWvfFaY++XX2KmvutO+K0x98uvsVNfdaTURYsqlVr3xWmPvl19ipr7rTvitMffLr7FTX3Wk1EWLKpVa98Vpj75dfYqa+6074rTH3y6+xU191pNRFiyqVWvfFaY++XX2KmvutO+K0x98uvsVNfdaTURYsqlVr3xWmPvl19ipr7rTvitMffLr7FTX3Wk1EWLKpVa98Vpj75dfYqa+6074rTH3y6+xU191pNRFiyqVWvfFaY++XX2KmvutO+K0x98uvsVNfdaTURYsqlVr3xWmPvl19ipr7rTvitMffLr7FTX3Wk1EWLKpVa98Vpj75dfYqa+6074rTH3y6+xU191pNRFiyqVWvfFaY++XX2KmvutO+K0x98uvsVNfdaTURYsqobzcPyHev08n/4rlrT98Vpj75dfYqa+61s+bSS7uzrimeRs+aNpi75qQZ8rxkq1UUbm6PBTZKgBjl7Hs8Q1ztjrZFxUpSuR3FKUoBSlKAUpSgFKUoBSlKAUpSgFKUoBSlKAUpSgFKUoBSlKAUpSgFKUoBSlKAUpSgFKUoBSlKAUpSgFKUoBSlKAUpSgFKUoBSlKAUpSgFKUoD//2Q==) | | Composite<br><br> <br><br>H = b-a/2<br><br> <br><br>H = b-a/2<br><br> <br><br>H = b-a/2n<br><br>Up to n/2 instead of n-1 | 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)![](data:image/jpeg;base64,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) | | Error: Midpoint | Midpoint abf(x)dx - fa + b2(b - a) M224(b - a)3<br><br>Composite abf(x)dx - hk=0n-1f(xk+xk+12)M224(b-a)h2 | | Error: Trapezoid | Trapezoid abf(x)dx -b - a2(f(a) +f(b))M212(b - a)3<br><br>Composite abf(x)dx - h2f(x0)+2k=1n-1f(xk)+f(xn)M212(b-a)h2 | | Error: Simpson | 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| | Gauss points | l0 = 1 l1 = x 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) | | Newton's method interpolation | fn(x) = b1 + b2(x - x1)  + ... + bn(x-xi) | | Ill-conditioned | Ax = b changes drastically when A or b is perturbed<br><br>slightly | | Leading principal minors | 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) | | LU factorizable | Leading principals aren't 0 | | Cholesky Factorization | for r in range(len(rows)):<br><br>     for c in range(len(cols) - r):<br><br>          if r == c:<br><br>               arc - i=1c-1lri2 <br><br>              (Subtract all {elements before in same row squared} from arc)<br><br>          else:<br><br>               arc - i=1c-1lcilri | | Norm properties | 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| | Jacobi method | Obtain equations with x1 x2 … solve dodziki nman | | Gauss-Seidel method | Obtain equations with x1 x2 … solve fast | | Convergence of iterative methods Ax=b | Strictly diagonally dominant => Convergent for any starting point | | Unimodal function | Has only 1 local minimum | | Bisection for minima | 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) | | Error Golden section | 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= 3-52 | | | =FNFN-1 | | Stationary point | Gradient = 0 | | FONC | Stationary point | | SONC | Gradient = 0, hessian is semidefinite<br><br>Min: positive, Max: negative | | SOSC | Gradient = 0, Hessian = definite => strict local extremum | | Positive definite | Positive, positive<br><br>But if =0, we need to check if all principal minors are nonnegative (diag removal) | | Positive semidefinite | Nonneg (eig), nonneg | | Negative definite | Negative (eig), neg-pos | | Negative semidefinite | Nonpos (eig), nonpos-nonneg | | Det of f’ < 0 | f’’ >< 0 (saddle point) | | Det of f’ > 0 | f’’ > 0 | | f’’ > 0 | convex | | 2d f | 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| | Solve for Least squares | Gradient by a,b  = 0, get a, b 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) | | Descent direction | Gradient * direction < 0 | | Feasible point | Satisfies constraints | | Regular point | Gradient of constraints are lin indep | | Constrained opt | Construct lagrange, <br><br>set gradient by x1, x2… xn, lambda = 0 | | | | | | | | | | | | | | | | **