From c475f2e7a2b34a4175666d702b4bf6926d87375c Mon Sep 17 00:00:00 2001 From: Christopher Albert Date: Mon, 13 May 2024 11:04:15 +0200 Subject: [PATCH] Collocation --- assets/teaching/interp_colloc.ipynb | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/assets/teaching/interp_colloc.ipynb b/assets/teaching/interp_colloc.ipynb index a6e032d..32c393c 100644 --- a/assets/teaching/interp_colloc.ipynb +++ b/assets/teaching/interp_colloc.ipynb @@ -8,13 +8,13 @@ "\n", "Say we have N samples $y_{i}=f(\\boldsymbol{x}_{i})$ on training points $\\boldsymbol{x}_{i}$ and also $N$ coefficients for basis functions. Then\n", "$$\n", - "f(\\boldsymbol{x}_{i})=\\sum_{k=0}^{N-1}f_{k}\\varphi_{k}(\\boldsymbol{x}_{i}).\n", + "f(\\boldsymbol{x}_{i})=\\sum_{k=1}^{N}f_{k}\\varphi_{k}(\\boldsymbol{x}_{i}).\n", "$$\n", - "Then we can solve in the coefficient vector $\\boldsymbol{f}=(f_{1},f_{2},\\dots f_{N})$ by defining a mass matrix $M_{ik}=\\varphi_{k}(\\boldsymbol{x}_{i})$ and solve the linear system\n", + "Then we can solve in the coefficient vector $\\boldsymbol{f}=(f_{1},f_{2},\\dots f_{N})$ by defining a collocation matrix $M_{ik}=\\varphi_{k}(\\boldsymbol{x}_{i})$ and solve the linear system\n", "$$\n", "M\\boldsymbol{f}=\\boldsymbol{y}\n", "$$\n", - "with the measured values $\\boldsymbol{y}=(y_{0},y_{1},\\dots,y_{N-1})$ on the right-hand side.\n", + "with the measured values $\\boldsymbol{y}=(y_{1},y_{2},\\dots,y_{N})$ on the right-hand side.\n", "\n", "Example 1D:" ] @@ -36,7 +36,7 @@ }, { "data": { - "image/png": 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\n", 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", "text/plain": [ "
" ] @@ -65,7 +65,7 @@ "for k in np.arange(N):\n", " for i in np.arange(N):\n", " M[i,k] = phi_bas(k, xtrain[i])\n", - " \n", + "\n", "fcoef = np.linalg.solve(M, ytrain)\n", "\n", "# evaluate interpolant\n", @@ -109,7 +109,7 @@ }, { "data": { - "image/png": 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\n", 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Oxo4djJ9fYaZMaWo7jnKhgQNjuHSpJC1bjrMdRaUALXZ1TwMGLOf69V106jRcF/ryMi+8kJl8+SqxefNEDh7U/RG8jRa7uqsbN24xbVoo/v6lmTKlte04KgV8/PEI4Brt279nO4pyMS12dVd9+izixo2D9Ow5An//NLbjqBTQoEFpihRpQ0TENPbujbQdR7mQFrv6h2vXbjJzZhjp0z/FuHGv2I6jUlB4+DDgBu3b62Yc3kSLXf1D9+6fcfPmMd56a4SuKeLlatQoRsmSHdiz52O2bTtlO45yEVfteTpLRM6LyH5XHE/ZExMTx/z5I8iYsSIjRjS0HUelgpkzhwCGDh3etR1FuYirhmNzgLouOpay6LPPHNy69Q6hoe/pJho+4tlnC/Lkk8EcPDiTzZuP246jXMAlxW6M2QxEu+JYyp7YWBg7Ni3PPtud/v2r2Y6jUtGcOYMQKcf771+wHUW5QKpNoIpIsIhEiEhEVJReN+uOuj7zNn/88TGhoU5EB+s+pXz5vPTq9Qtff12RY8eAsDDbkVQyuGyjDREpBHxpjCnzoOfqRhvuJzYWsj3yEv6ZY7h0abNOw/igs2ehcOErVK26gfUbXgYLm/Co+9ONNlSShIdDLF8yb94XWuo+Kk8eKFNmNBs2NONnCtqOo5JBi93XhYURLekZ1WcvL7CJRo2zg4j+KO6LwsKYvWMW6djExwy//fdA/y54JJdMxYjIIqAakBM4B4QaY2be6/k6FeNeXnllMitXDmIRZWhpttmOoyx76y2YNPEW//nVQcmS+tObO0nsVIxuZu3joqOvExhYhMyZS3Hp8kadV1WcOwf5cnemUFEnR4/Osh1H3UHn2FWidOnyKU5nJGFhYRAaajuOcgO5csHTef7i2LG5rFt3xHYc9RB0xO7DLl+OJUeOImTKVILLlzfajqPcyN69kTz1VBGKFm3O0aNzbMdRCXTErh6oc+dPcTrP3h6tK3WHsmVzU778Gxw7Np/vvz9qO45KIh2x+6jbo/WiZMpUjMuXN9mOo9zQ7VF7YYoVa8mRI7Ntx1HoiF09QJcuM3A6zzBsWJjtKMpNlS2bm3Ll3uDo0XmsX3/MdhyVBDpi90ExMXFky1aUgIDCepepuq/du89SrlxhSpRoy6FDM2zH8Xk6Ylf3NH36JZzOCgweHKqlru7r6afzULZsMIcPz+WHH07YjqMSSYvdx9y4AdOn56Zq1dW8/XZN23GUB5g58x0gPcOG/WA7ikokLXYfM2jQRk6dOsKwYegKjipRgoLy0anTaX76qR0nT9pOoxJDi92H3LhhmDKlBwEBr1G7tu00ypMMG5YFgCFDtNk9gRa7D1mwQLh583vGjQvX0bpKkgIFoGLFKcybV5zt20/bjqMeQIvdR9y8aRg1ylChQm66dXvgkvlK/cO4cY1wOEYya1ZW21HUA2ix+4hevebz22/P06dPlI7W1UN57rlCdOgwgDlzAjh71nYadT9a7D7gxo1bzJo1ivTp/6RNm5y24ygPFhICcXGLaNVqou0o6j602H1A//5LuXnzMD16DNXr1lWyFC0KhQuvYdOmIRw4cN52HHUPLil2EakrIodE5KiIDHTFMZVrxMc7CQ8fRbp0jzN27Cu24ygvMHXqICCWTp0m2I6i7iHZxS4iaYBpQD3gcaCViDye3OMq1wgJWUlc3AGCg4fi56c/oKnkq1evJAULtmTbtmkcOnTBdhx1F674l14JOGqM+c0YcwNYDDR2wXFVMjmdhqlTR+LvX5L3329mO47yIpMnDwau0anTJNtR1F24otjzAafu+Ph0wueUZUOH/pvY2D106DAYf/80tuMoL9K48RPky/cqP/30IcePX7IdR/2NK4r9bu/G/WPJSBEJFpEIEYmIiopywWnV/TidhkmTRuDnV5RJk1rZjqO80MSJQ4AYOnacYjuK+htXFPtpIP8dHz8GnPn7k4wx4caYIGNMUGBgoAtOq+7ns89+59q1E7RtG0L69H624ygv1Lz5U+TO3ZhNmyZx+nSM7TjqDq4o9u1AcREpLCL+QEvgCxccVz0kY+CTTwqRP/8Jpk1rbzuO8mLjxw/FmMt07TrLdhR1h2QXuzEmHugJfAscBJYYYw4k97jq4S1bdo6tW28xeHAAGTKktR1HebG2bStQseIatm7twdWrttOo/9IdlLyMMYasWV8gLi4dV66sI10624mUt9u6FapUgXHjDAMG6A1wKUl3UPJRmzZBTExvWrXqoqWuUkXlyvDUUysZPLgcFy5csx1HocXudUaOFPLkacpHHzW3HUX5kODgQOLjc/Dhh3rDkjvQYvciH3/8M+vXj6RPn79In952GuVLund/jhdf/J7w8AJcv247jdJi9yJDhoQhMpVOnXSeU6W+YcMgMvI0Awdush3F52mxe4kZM7Zy8eJa6tXrT86cGWzHUT7ohRcgS5bXmDatDTExcbbj+DQtdi8xaNBIRHIwc2Y321GUjxKBgQMHcuvWH7zxxmzbcXyaFrsXmDt3O1FRX1Or1lvkzh1gO47yYQMG1CQgoDJLlozh6tUbtuP4LC12L/DOOyMRyc7s2T1tR1E+zuEQ3nknlFu3TtK9+1zbcXyWFruHW7BgJ+fO/Zvq1fuRN28m23GUYtCgOmTMWJFFi0Zz7dpN23F8kha7h+vffwQiWZk1q5ftKEoBt0ft/fuHEh9/gh495tmO45O02D3Y6tWHiYxcTbVq/ShQIIvtOEr9r2HD6pMhQxDz57+ro3YLtNg92Ny5JciYcSOzZ/e2HUWp/8fhEN58cxjx8b/Ru/cC23F8jha7h9q927ByJbz11gsULJjVdhyl/mH48AY8+ug7rF1bmfh422l8ixa7h2rUqC3p0g2hXz/bSZS6O4dD+PTTsZw6VYr5822n8S1a7B5o585bnDoVQNWqj5BVB+vKjTVsCKVL/0qfPr2IjdVhe2rRYvdA776bhixZPmHFisG2oyh1XyLw8suHiYmZy7hx+2zH8RnJKnYRaSYiB0TEKSIPXPxdJd/q1YdYsWIbffuio3XlEUaObEjZsr8zb145nWtPJckdse8HXgE2uyCLSoTu3QcBdejS5S/bUZRKFIdDGDUqG8eOGT788A/bcXxCsordGHPQGHPIVWHU/X3++W7OnFnBCy/0JV++jLbjKJVoDRpAjhwdGTDgeb2uPRXoHLsH6ds3FJGsfPaZXgqjPIsI9OzZlPj443TrpmvIpLQHFruIfCci++/yaJyUE4lIsIhEiEhEVFTUwyf2UZ99FkFk5BfUqNFf7zJVHmnYsPpkzFiJBQtG6sqPKeyBxW6MqWmMKXOXx+qknMgYE26MCTLGBAUGBj58Yh/Vv38oItmZO1fvMlWeyeEQQkJGcOvWSYKDZ9mO49V0KsYDhIf/TFTU19SpM0BXcFQeLSSkNpkyVWXJkne5fDnWdhyvldzLHV8WkdNAFeArEfnWNbHUnUJCQhEJZPbsHrajKJUsDocQGjqSW7dO06XLDNtxvFZyr4pZaYx5zBiTzhiTyxhTx1XB1G1Tp/5AdPQ66tcfoLsjKa/Qr9+LZMnyAitWvMuFC9dsx/FKOhXjxoyBBQueICBgOHPmdLcdRymXuH1d+0iczkhef3267TheSYvdja1dC1u3Zmfs2GHkzJnBdhylXKZnz+fJm/c1Nm7MQUyM7TTeR4vdTTmdhjZtOpIr1wa6dLGdRinXW716Dn/91YFJk2wn8T5a7G5q1qw/uHhxI/Xrn8Df33YapVwvKAgaNbrJmDEzOHr0ou04XkWL3Q05nTB58mMUL36I6dPb2Y6jVIrp0OEIsbHBdOu20HYUr+JnO4D6p/HjD7B/fxEWLXqE9Oltp1Eq5TRp8jh16kSweXM5zp6FPHlsJ/IOOmJ3M1ev3mDIkIZkztyU5s1tp1Eq5U2dWp6bN4XQUL300VW02N1Mx46fEh9/nLff7oVD/3SUDyhWDGrV+pJPP83H+vXHbMfxCmKMSfWTBgUFmYiIiFQ/r7uLjLxKvnzFyJSpFNHRG3A4xHYkpVLF7t1nKVeuGAULNuHEiQW247gtEdlhjHngpkY6JnQj7dpNxuk8x3vvjdFSVz7l6afzUKVKH37/fSGff77bdhyPpyN2N3HkyEVKlChC7twvcvbsKttxlEp1v/9+mcKFi5AzZ2XOn//adhy3pCN2D9Oy5bvAVT7++F3bUZSyomDBrNStO5CoqG+YOHGD7TgeTUfsbmDz5uO88EJJSpRoz6FDuuKd8l3R0dd59NGSpEuXiytXtuHnp2PPO+mI3YO0bz8Y8GPhwhG2oyhlVfbsj9Cx4yiuXYvgzTeX2I7jsXTEbllEBFSsuIZ69X7n66+72o6jlHU3b94ic+YKxMfHcPHiQTJnTmc7ktvQEbsHMAbefhty5qzL4sVa6koBpE2bhtDQ8cTHl2by5Mu243ik5O6gNF5EfhWRvSKyUkSyuiqYLxg+/Bs2bhxISMg1Mme2nUYp9zFwYC1q1/6KSZNycemS7TSeJ7kj9nVAGWNMWeAwEJL8SL7h5k2YOnUr/v6rCQ7WJXuU+rvx4yE6+jdatZpnO4rHSe7WeGuNMfEJH24FHkt+JN/w8cdw8eJw5s+PICBA1+VV6u/KloVSpd7j2297s3On7saRFK6cY+8IfHOvL4pIsIhEiEhEVFSUC0/reY4fv8SQIbuoUQOaNs1oO45Sbmvp0pFkyLCfESN0rjIpHljsIvKdiOy/y6PxHc8ZDMQD91zkwRgTbowJMsYEBQYGuia9h3r11RHExFTinXf+QHTlAKXuqUyZQIYMycfq1YZVq3QzjsRK9uWOIvIa8AZQwxiTqHU3fflyx2+/PUzduk9QqlQHDh4Mtx1HKbcXGws5c77GrVt7uHJlB/7+aWxHsiZVLncUkbrAO0CjxJa6r2vXrh/wCEuXjrQdRSmPkD49dOnyErGxe+jQQe/MTozkzrFPBTIB60Rkt4h87IJMXmvYsC+JivqaBg1CKVMml+04SnmMCROakSXLCyxaNJhjx6Jtx3F7eudpKomJiSNHjidwONJy8eIevRJGqSRatmwvzZqV48knu7F371TbcazQO0/dTLNmE4mPP0ZY2GQtdaUeQtOmZXnyyW7s2/cRS5bssR3HremIPRVs336aSpVKkidPbc6cWWk7jlIe69ixaIoXL0GmTI9z6dImn9uQRkfsbqR581DgFosXT7QdRSmPVrRodlq3Hk1MzA/06KFb6N2LFnsKW7MGTpwYS+vWS/nXvwrbjqOUx5szpzMZMz7DJ5+8xfHjupDM3Wixp6ArV27QvVUUJUoEMmtWQ9txlPIKfn4OZsz4GOjPmDEBEBZmO5Lb0WJPQQ0bjuL45QZ88ME10umS0kq5TMuWT9Onz9vMmJGWbcPvuZKJz9JiTyGHDsGWLU9QimzUr5/BdhylvM6IEZAt2xfUIi2xsfEP/gYfosWeApyhwwkutYmAW3XYyC4Quf3QHxmVco2wMDJlFl6PHs2fxDL6kZ76b+wOerljCmjffhbz5l3i00/70rmL3+2tkpRSLud0Gl5Os4K16V9l3z4oVsx2opSllztasn37aebN60u2bN/QsaP+9iqVkhwO4SN6kTbtRWrXHsutW07bkdyCNo8LOZ2GBg3eAG6xYkX47ZsnQkNtx1LKq+UNDebVV//N8eMhvP66LhIGOhXjUj16LGT69DY0afIBK1f2tR1HKZ/hdBpy5KjB5cs7+OWXA1Ss6J2buelUTCrbufMMH33Uk4CAynz+eS/bcZTyKQ6HsHz5p0A89ep1wun07fe1tNhdwOk01KnTCWPiWLHiM5/eCEApW6pXL0qrVhO4eHEtbdr49griWuwu0K5dOBcurKFFi/HUqlXcdhylfNb8+V3JkaMOixf3Z926I7bjWKPFnkzff3+UhQvfJHv2Wixc2M12HKV8msMhrFkzE5F0vPJKe5+9cSm5W+ONFJG9CbsnrRWRvK4K5glu3oT+/f3w86vBmjWzfG4JUaXcUVBQPnr2nM7Vq1upV+9d23GsSO6Ifbwxpqwx5mngS2CYCzJ5jKFDYffuQixY8IXXvguvlCeaMqUlhQu3Y+PGP9m0yffeSE1WsRtjYu74MCPgM7+DY8asZdy4hrz22iWaN7edRin1d7vM6iRBAAAKRklEQVR2zaF48fdp00a4eNF2mtSV7Dl2EXlXRE4BbbjPiF1EgkUkQkQioqKikntaqyIjYcyYP0if/iwTJuiyjUq5oyxZHCxeDOfObSUoqIdPXQL5wGIXke9EZP9dHo0BjDGDjTH5gQVAz3sdxxgTbowJMsYEBQYGuu4VpLL4eGjTBuLjO7Bt2zZy5NCVG5VyV+XLQ6NGv3DixNcMH37WdpxU47I7T0WkIPCVMabMg57ryXeePvtsGFu2PM7s2c15/XXbaZRSD+J0Gpo0ucrXX2di3Tp48UXbiR5eqtx5KiJ3XrTdCPg1Ocdzd/36LWHLluE88cRGLXWlPITDIcyfn4lixW7w0kvvsG3bKduRUlxy59jHJkzL7AVqA31ckMktrVy5n0mTOpIpU1W2bp1kO45SKgkyZ4YPPzzF9esfUb36K1y+HGs7UopK7lUxrxpjyiRc8tjQGPOHq4K5k4MHo2jevAkORyY2blxKQIC/7UhKqSSqVasoISHzuHYtgvLlu3j1m6l65+kDREdfp1KlxsTH/8Enn6ykfHmfugdLKa8yenRjatQYyfHj86lefbjtOClGi/0+4uOdPPXUa1y9upX+/efTuXNl25GUUsm0du1gihV7nU2bhtOly1zbcVKEFvt9PPtsCKdPL+Wll95j/PhXbcdRSrmAwyHs2vUJ2bLVYMaMLkyYsN52JJfTYr+HAQOO88svU3jiiW588cVbtuMopVwoIMCfXbuWkS5dCfr3b8zMmdtsR3IpLfa7+PBDGD++MPXrb2fnzg91cS+lvFDBgln5+ee1+PnlomvXAeza5T1vpmqx/03HjrPp3ftTmjSBVavK6KYZSnmxcuXysmnTenLlWkHt2sLBg7YTuYYW+x2mTzfMnr2KHDmWs3Chk7RpbSdSSqW0qlULsHFjDtKkuUH58q/z+ed7bEdKNi32BMOH/0WPHkK9eos5fHgljzyivzVK+YrixWHRokhu3txAhw47+Okn24mSx+fbKz7eyTPPvENY2HM0a/Ynq1c/Qvbsj9iOpZRKZS++WIB9+w6QP39HatWCpUsv2Y700Hy62CMjr1KgQFN++eU9nniiCgsXZtTpF6V8WOnSAfzwAzz22C80b16QV16Z7JF3qPpssW/efJzChaty9uxqGjeeyN690/Dz89nfDqVUgkcfhY0bS5MnTw1WruxLqVKdiImJsx0rSXyyyQYNWk21ahWJizvF6NHfsGpVP72kUSn1v/LmzcTJk8t5/vmhHDkym7x5/8W6dUdsx0o0nyr2M2f+pGTJzowZ04T06fPzzTfbCAmpbTuWUsoN+fk52Lx5BP37L+PatcPUrv00bduGe8TUjM8U+5IllylY8GkOH55FlSohnD+/jTp1StiOpZRyc+PHv8q2bfvIlq0KCxZ0JXfuBnz//VHbse7L64v955+jqVcPWrTISkBAQ6ZN28yWLaN16V2lVKJVrPgY58+v5eWXJxEVtZmaNZ/nzTdvcOWK7WR355JiF5H+ImJEJKcrjucKO3fCs88uomrV/Pz441EmToRz5ybRvftztqMppTyQn5+DFSv6sGfPEerUmc+kSf4UKRJPzZrvsX//Odvx/p9kF7uI5AdqASeTHycRwsLu+aVjx6Lp3HkO5ctvpUIF2LPnecqX78r27Vnp1w/8dZCulEqmsmVzs2ZNDX75BUqX3sr33w+kXLktdOgAK1bE8NdfN+5/gPt0mKskezNrEVkGjARWA0HGmAsP+p5kbWYtAsbgdBp27z7LF1/s4scfd7Fr12aiozcA8WTM2JawsHl06QJZsjzcaZRSKjHWrj3C8uVFWLgwDVevDkVkKgUL1qd8+WeoUaM8jRqV5bHHMv/fNyR02MNI7GbWySp2EWkE1DDG9BGRE6RwsY8cCWOGVSVWDmHMZcD53ySkS1eacuUa0a3bq7RtW0EvX1RKparYWPjgg03MnDmb48fX4HTeOT2TDocjK9mz92b5hTX8y2x+qHMkttj9EnGg74Dcd/nSYGAQtzexTkygYCAYoECBAon5lv8TFgbDh5OHThThUcSkJQtC7tKlqN6zLU2aPEXevJmSdkyllHKh9OkhJOQFQkJeAGD37rOsWrWTbdv2E713LzFnTpH1wkWycvn2qB0gNDRFpmYeesQuIk8C3wPXEj71GHAGqGSMibzf97piKkYppTxSKkzFPHDEfi/GmH3Ao3ec8ASJnIpRSimVcjzvOvbQUNsJlFLq4aVChyX7qpiHkaypGKWU8lGJnYrxvBG7Ukqp+9JiV0opL6PFrpRSXkaLXSmlvIwWu1JKeRkrV8WISBTwewocOifgydfRe3p+8PzX4On5wfNfg6fnh5R7DQWNMYEPepKVYk8pIhKRmEuB3JWn5wfPfw2enh88/zV4en6w/xp0KkYppbyMFrtSSnkZbyv2cNsBksnT84PnvwZPzw+e/xo8PT9Yfg1eNceulFLK+0bsSinl87yu2EVkpIjsFZHdIrJWRPLazpQUIjJeRH5NeA0rRSSr7UxJJSLNROSAiDhFxGOubhCRuiJySESOishA23mSSkRmich5EdlvO8vDEJH8IrJBRA4m/P3pYztTUohIehH5RUT2JOQfbi2Lt03FiEhmY0xMwq97A48bY96wHCvRRKQ2sN4YEy8i4wCMMe9YjpUkIlKa2/sWfgL0N8a4/VKeIpIGOMztjdlPA9uBVsaY/1gNlgQi8i/gKvCZMaaM7TxJJSJ5gDzGmJ0ikgnYATTxlD8DEREgozHmqoikBX4E+hhjtqZ2Fq8bsf+31BNkBDzq/1zGmLXGmPiED7dye2cqj2KMOWiMOWQ7RxJVAo4aY34zxtwAFgONLWdKEmPMZiDado6HZYw5a4zZmfDrP4GDQD67qRLP3HY14cO0CQ8r/eN1xQ4gIu+KyCmgDTDMdp5k6Ah8YzuEj8gHnLrj49N4UKl4GxEpBJQDttlNkjQikkZEdgPngXXGGCv5PbLYReQ7Edl/l0djAGPMYGNMfmAB0NNu2n96UP6E5wwG4rn9GtxOYl6Dh5G7fM6jftrzFiISACwH+v7tJ3C3Z4y5ZYx5mts/aVcSEStTYg+956lNxpiaiXzqQuArwK3203tQfhF5DWgA1DBu+iZIEv4MPMVpIP8dH/93c3aVihLmppcDC4wxK2zneVjGmMsishGoC6T6m9keOWK/HxEpfseHjYBfbWV5GCJSF3gHaGSMuWY7jw/ZDhQXkcIi4g+0BL6wnMmnJLz5OBM4aIyZaDtPUolI4H+vYhORR4CaWOofb7wqZjlQkttXZfwOvGGM+cNuqsQTkaNAOuBiwqe2etJVPQAi8jLwIRAIXAZ2G2Pq2E31YCJSH5gEpAFmGWPetRwpSURkEVCN2ysLngNCjTEzrYZKAhF5DvgB2Mftf78Ag4wxX9tLlXgiUhaYy+2/Pw5giTFmhJUs3lbsSinl67xuKkYppXydFrtSSnkZLXallPIyWuxKKeVltNiVUsrLaLErpZSX0WJXSikvo8WulFJe5n8A6GPd0ZVpiwoAAAAASUVORK5CYII=", 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ZIyJ7c5jy+yk+p3MIc71eUET6iUi0iEQn6GkELpWRYaN5855kZsYye/aX1KpV1upIysfcemtFpkz5nLS037jttn46rrCHybMAGGPaGmPq5zAtyecyTgBVsj2vDMReZXnvG2MijDER5cqVy+ci1LXo1GkK8fHL6Nr1DXr3bmp1HOWjhg1rRdu2r/DHH5/Tvfssq+OobNzRBbQNqCUiNUQkCHgMWOqG5aqreOedH1mxIpLKlR/WK32Vy3333SjKlbuH+fOHsXr1aavjKDtHTwN9QEROAM2Ab0Vkpf31SiKyHMAYkwEMBFYC+4EFxphfHYutHHHkSCKDBz9OYGB1fv55jl7pq1wuMDCAH374hLCwb3n22fKcO2d1IgUgxoNv3xcREWGio6OtjuFTbDZD5coPEhf3LXPnbqJHj1wv31DK6TZsgNat4b779rFkiZ4N7goist0Yk69/bL0S2M/06TOPuLiv6dz5Nd34K7dr0QKeeGIdS5fWZ9CgL62O4/d0D8CP7NkDERGp3HDDh+zaNUAHdFeWSE3NoE6d/xAfP5CdO0tQq5bViXyL7gGofzh7NpVHHz1H6dLBrFv3jG78lWWCgwPZuHEkQUElePzxi1y4kG51JL+lWwF/EBVF69YvsX9/Q2bOPEd4uNWBlL+rUgWmTk0mOjqCe+55NevFqChLM/kj7QLyByIIG7ntto38/HOk1WmU+tv11/fk6NFPmTXrB/oPuB0dU9JxBekC0gLg4xISbJQLL0TdOobt26FoUasTKfX/TpxIpkaNWwAhMeMYJT14e+Qt9BiAytqdFmFIeCFGAfv2C0WLie5mK49Sec6brM/4HVvGMZ6HrKHFRP9O3UULgK+KimLI4Pl8DpSErF1rY/QfS3mWqChuN4aIpsOZDYyL+lb/Tt1Iu4B81M6dcTRqVJ9ixW7g7PmtBHrw71mp5ORLNC8VzP6Aivz2216uv76M1ZG8lnYB+TmbzdC+fT+MucCCBXMJHDvW6khKXVVISBHeeLAfNlsCbdoMsjqO39AC4IP69ZtLfPwy7r9/Eh073qS708ortF/0Hq1ajeaPPz7j1Vd/tDqOX9AuIB+zY0csjRvXJSTkZv78c4Ne8KW8yoUL6TRosJLk5HvZv18oq0NUFJh2Afkpm83QseMA4BILF36oG3/ldYoVK8yiRffx119C//5622hX0y2ED3nuuQWcPv0N9933KnffrTdYUd7pllvgySc3sWhRdcaO/dbqOD5Nu4B8REIC3HRTAsHB0zl2bCxBQTq4r/JeKSlpVK8+nMDA4Rw4UInQUKsTeQ/tAvJDgwfbSEkpx6pVr+jGX3m9EiWCWLHiLRISKjF8uOd+SPV2jo4I9rCI/CoiNhHJteKIyO8iskdEdoqIfqR3sldeWc78+c0YNOgk9epZnUYp54iIgKefjmX27LbMmPGD1XF8kqN7AHuBB4GN+Wjbyhhza353TVT+pKTAjBnpFCtWlDFjwqyOo5RTvfJKKQIDj/L88/1ITr5kdRyf41ABMMbsN8YcdFYYVXBjxkBCQhdWrlxHSEgRq+Mo5VTh4cWJippFWtoBOneeZHUcn+OuYwAGWCUi20Wk39Uaikg/EYkWkeiEhAQ3xfNOn3wSzVtvvUm/fhnccYcO7K58U2Rke6pX786GDRNZunSf1XF8Sp5nAYnIGqBCDm9FGmOW2NusB14wxuTYvy8ilYwxsSISDqwGBhlj8uw20rOAcpeWlkloaFMuXYrj2LH9VK1ayupISrnM/v0J1Kt3EyEh9UlMXE9AgH7gyY1TzwIyxrQ1xtTPYVqS30DGmFj713hgMdA0v9+rcvb44+9w8eIOBg9+Szf+yufVqVOOHj0mk5S0kf79P7E6js9weReQiBQXkZKXHwPtyDp4rK7Rjh2xLFoUSdmy7XjjjYetjqOUW8yZ05uSJZvzwQcvcOjQn1bH8QmOngb6gIicAJoB34rISvvrlURkub1ZeeBHEdkFbAW+NcascGS5/u7++4cBaXzxxUzdFVZ+IzAwgA8/fBdj/qJz51FWx/EJgY58szFmMVldOle+Hgt0tD8+CtziyHLU/3vttdXExHxBq1bjaNPmBqvjKOVWDz3UgNtui2Tz5hA2bYLmza1O5N30VhBeJDn5EmFhNwNw5swePe1T+aWUFKhTB8qWhe3boZBe+P4/9FYQPuqRR6aSnn6IsWOn68Zf+a0SJeCNNwy7dn1Onz7/tTqOV9M9AC8RE2OoXv1eypcvQmzsP3rdlPIrNpshLKwt584V4uTJlYSH67Gwy3QPwAe98IJQuPC3rFqlp8ApFRAgLFu2AGO+IzJSN/7XSguAF5g9excLFsTy0ktC/folrY6jlEdo3rwsQ4cWYs6cP1m48JDVcbySdgF5uPR0Q0hIBDZbJmfP/kLRovppR6nLkpMNZcs2oEiRYpw9+7OOgod2AfmU998XUlMXMG7cO7rxV+oKISFC794vcv78VgYOnGd1HK+jewAe7PTpDOrUCaRRI1i9GkS3/0r9Q0aGjdDQZly8GMPJk79RoUIJqyNZSvcAfMTddz/HX3/dz3/+k6kbf6VyERgYwFtvTcNmi6NrV71ldEFoAfBQixfvZc+ed6lf/zpuvVWvdFHqap566jZq1nySTZveYP36o1bH8RpaADyQzWZ46qlhiITw1VevWB1HKa/wxReTgEC6d3/R6iheQwuABxo//jsSE1fTpcsYatUqa3UcpbxCRMR1tGkzktjYr3QM4XzSg8AeJjU1g1KlGmBMOomJv1KiRJDVkZTyGmfOXKB8+doULXodSUmbKVTI/w6e6UFgL9anzxzS0vbz/PNTdOOvVAGFhRVj2LAPOH9+BvPn+9/Gv6B0D8CDnDiRTNWqNxASUkeHvVPqGtls0KQJJCTAwYNQtKjVidzLbXsAIjJFRA6IyG4RWSwiobm06yAiB0XksIiMdGSZvuzhhydhTAIzZrypG3+lrlFAAEyenEFMzFN06fKa1XE8mqNdQKuB+saYBsBvwD+G6RGRQsBM4B6gLtBNROo6uFyfc/w4bNtWktq1B/DEE42tjqOUV2vTJpBKlc6xYcNF4uOtTuO5HCoAxphVxpgM+9PNQOUcmjUFDhtjjhpj0oD5QBdHluuLxoyBwMCXWL36XaujKOUT1qyZT2bmOMaPtzqJ53LmQeA+wHc5vH4dEJPt+Qn7a8ruq69+Ze7cJQwaZKha1eo0SvmGOnWEp56Cd95Zy9q1enFYTvIsACKyRkT25jB1ydYmEsgAcrobU06d2bkeeRaRfiISLSLRCQkJ+fkZvN6QIW8j0puBA5OtjqKUTxk8OBGbrRO9eukg8jnJswAYY9oaY+rnMC0BEJGewH1Ad5PzKUUngCrZnlcGYq+yvPeNMRHGmIhy5coV7KfxQt9/DydOzGTo0PVUq1bK6jhK+ZS6dctw553PExOzgI8+2mp1HI/j0GmgItIBeBNoYYzJ8eO6iASSdYC4DXAS2AY8boz5Na/5+/ppoBkZNpo0uUhiYnEOHoTgYKsTKeV7YmPPUbny9YSE1CUxcZ3Pn2HnzgvBZgAlgdUislNEZtkDVBKR5QD2g8QDgZXAfmBBfjb+/mD48EXs3FmTf//7oG78lXKRSpVK0rXrGJKSNjBp0iqr43gUvRDMIqmpGYSE1CMgoDDJybsICtI7firlKikpaZQufSOFC5cmOTnap0cO01tBeIH+/T8mPf03hg2boBt/pVysRIkg+vZ9hYsXf+HFFxdaHcdj6B6ABRITL1KuXC2KFatCUtImn++TVMoTpKVlEhJyKzbbJc6e/ZVixQpbHckldA/Aw/Xs+Q4220nGj5+kG3+l3CQoqBDPPz+B9PRD/Pvfn1gdxyPoHoCbZd3wrQZlyjThzJkVVsdRyq/YbIZateZw4cJjHD1a0idvFKd7AB6sR4+3MCaRN9981eooSvmdgADhgw+e5tSpkrz3ntVprKcFwI2OHElk3bo3qFjxAXr0yFeBVko5WcuW0LDheoYPb8Hp0+etjmMpLQBuNHlyPFCH6dPHWR1FKb82YEAR0tPP8PrrMXk39mF6DMBN4uOhZk3o1Ak+/9zqNEqpjh1tbN4cwLFjUMqH7sKixwA8UP/+y7hw4QxRUVYnUUoBjB8fwF9/JTN06Aaro1hGC4AbHDyYzNdfP8oNN4zixhutTqOUAmjcGKpUGcjHH3fiyJFEq+NYQguAG7zzTggBAdF88MEYq6MopbKZOvVF4By9ek21OooltAC42IkTNt57D3r1qsOdd1bJ+xuUUm7TtevNXHfdQ/z44zS/3AvQAuBi9903jLS0xxg1ymZ1FKVUDqZNGwOco2fPN62O4nZaAFwoOvokv+6aQa1aJbjhBl3VSnmirl1vpnLlh/npp7eJGTTc6jhupVslF+rb93Ugk/fee8nqKEqpq3j77TFACu/NmGJ1FLfSAuAi0dEn2b37fXoCLVvWtDqOUuoqHnigPlWqPMw04NChP62O4zYOFQARmSIiB0Rkt4gsFpHQXNr9LiJ77KOG+caVXVcTFcWnTSpTiEu8BCCSNelFAEp5nqgoEOG7mAWkAP+tHeY3/6+OjgncDlhrjMkQkdcBjDEjcmj3OxBhjDlTkPl765XAe/ee5uabq3P99Y9y+Mhc8OCrrZVS/2+8CK8X38DJk3d57dXBbrsS2Bizyj7mL8BmoLIj8/MVffq8AaQxc6b2/SvlTUYD58/fxfTpVidxD2ceA+gDfJfLewZYJSLbRaSfE5fpcQ4ePMO2be9QrdqjtG9fG8aOtTqSUiq/xo6lbds4JkwYQWzsOavTuFyeBUBE1ojI3hymLtnaRAIZwLxcZnO7MaYRcA/wrIjcdZXl9RORaBGJTkhIKOCPY70xYzYDhrffjsx6wQ/6EZXyGVFRPP54DKmpbxIZ+YPVaVzO4buBikhPYADQxhhzIR/to4AUY8x/8mrrbccAzp6FatWgVaskvv7aSzsQlVK0bHmKffsq8PvvUKyY1WkKxm3HAESkAzAC6Jzbxl9EiotIycuPgXbAXkeW66kmTTpJcrJh3Djd+CvlzV59tQIJCfD222etjuJSjh4DmAGUBFbbT/GcBSAilURkub1NeeBHEdkFbAW+Ncb43GC48fHnmTLlFmrWHMktt1idRinliDvugMqVR/Hyyw1ISUmzOo7LOHoW0A3GmCrGmFvt0wD767HGmI72x0eNMbfYp3rGmAnOCO5pPvmkEMZEMWpUV6ujKKWcoH//FmRmxjB4cG6HNr2fjgjmBGlpWaN93XADrF9vdRqllDPYbIYSJRqTkZFCSsp+goIKWR0pX3REMDcbOvQrTp58nxEjMq2OopRykoAA4d//fon09EOMGLHI6jguoXsADkpLy6REiZsoXLgU585tIyBArI6klHKStLRMSpasR0BAMOfP/+IV/9+6B+BGI0YsIj39MM88M8or/jiUUvkXFFSIJ58cSWrqLsaPz+06V++lewAO+P8+wvOkpOzzmj5CpVT+paSkERp6PSVKXM/Zs+utjpMn3QNwk8mT13Dx4i906/aibvyV8lElSgRx773PkZS0gQ8+2GJ1HKfSAuCAKVMmExBQkenTn7Q6ilLKhd5992lEqvLuu79ZHcWptABco08/3U5i4hratx9KSEgRq+MopVyoUqWSjBx5hB07nuTgQavTOI8WgGv00kuTgRBmzepvdRSllBsMHRpIUJAhMnKf1VGcRgvANVi37igxMQv517/+TdWqet8fpfxBeDjccssEFi1qyI4dsVbHcQotANdgwYJqBAYuYNasIVZHUUq50eTJ3RGZxeefl7U6ilNoASigM2dg7txC9OjRlVtvrWh1HKWUG7VoUYOHHurNnDlFOOcD48VoASigHj2mc/HieIYN89zrJ5RSrvPcczbOnn2T/v3nWh3FYVoACuDiRVi7dgfh4VupV0+v+lXKHzVrFkBIyNcsWDCG1NSMvL/Bg2kBKID//hcuXfqITz/1zRtDKaXyZ+DAF8jMPM7w4QutjuIQvRVEPmVk2Khd+zhlylRn2zYQ3QFQym9lZNgoXrwuhQoVJyUl2qPuA+bWW0GIyHgR2W0fEWyViFTKpV1PETlkn3o6ulx3Gzt2GceOXc999/2oG3+l/FxgYACPPvo8Fy+csumBAAAPdElEQVTu4K231lsd55o5Y1D4EGNMsv3xYKDu5ZHBsrUpA0QDEYABtgONjTF/XW3enrQHEBrakpSUY6SkHCE4ONDqOEopi509m0qZMlUJD7+NU6eWWh3nb27dA7i88bcrTtYG/krtgdXGmET7Rn810MHRZbvLvHk7SErawD33DNaNv1IKgNDQYO6889+cPv0NK1d65z2CnHIQWEQmiEgM0B0Yk0OT64CYbM9P2F/LaV79RCRaRKITEhKcEc9ho0dPBUowc+ZTVkdRSnmQmTOfAYJ44YVpVke5JvkqACKyRkT25jB1ATDGRBpjqgDzgIE5zSKH13LsezLGvG+MiTDGRJQrVy6/P4fLREef5Nix+dx6a1+97YNS6n/Ur1+eWrW6s3fvRxw5kmh1nALLVwEwxrQ1xtTPYVpyRdPPgK45zOIEUCXb88qAV9xMY/DgmUAmU6cOtjqKUsoDvfHGSGARX3wRanWUAnPGWUC1sj3tDBzIodlKoJ2IlBaR0kA7+2seLT7+PJs3z6JSpQdo2bKm1XGUUh6oU6fatG17DzNnBpCWZnWagnHGMYDX7N1Bu8nasA8BEJEIEZkDYIxJBMYD2+zTK/bXPNqQIZ9gzF9ERj5ndRSllAd75pmLxMaOYPjwr6yOUiB6IVgubDYoX34cqalrSEra6FEXeiilPEvWhWENKFv2AU6eHG/ptUI6JrATrF4NZ86MZebMDbrxV0pdVWBgAJMnbycubjybN1udJv+0AORi4sRDlC8Pjz6qq0gplbe+fYtQqhS89lqc1VHyTbduOVix4jc2bqxN06azKaLD/Sql8qFECWjS5H2WLq3Gtm0nrI6TL1oAcrB4cQUKFZrKxImdrY6ilPIio0ffDWQydOi7VkfJFy0AV0hKgs8+C6F796HUr1/e6jhKKS9y1101qFixMz///B6JiRetjpMnLQBXGDRoPikpHzBokOeeHaWU8lzDhw/BmD8ZNuwzq6PkSU8DzSYjw0bRorUpWrQCyck/um25SinfYbMZihe/BSjE+fM73H4WoZ4Geo0mTFhBRsYRevceZHUUpZSXCggQHn54EKmpO5k16yer41yV7gFkEx7ekT//3ElS0u+UKBHktuUqpXxLfPx5KlSoTOXK7Tl+fL5bl617ANdg9epDJCR8x1139deNv1LKIeHhxWnUqC8xMYvYscNz73upBcBuxIh3gMJMm9bf6ihKKR8wZcozQFGmTNlhdZRc6fBWwKlTKfzyy0dUq/YQDRpUsDqOUsoHtGpVkw4dTrNuXVHS0iDIAzsWdA8AGDbsUyCJl17Sg79KKecZOrQop08bPv7YM29+7PcHgW02Q7FiDQgIKExKyna98ZtSymlsNihV6mFEYklOds8ZQXoQuAB++MFw6VIkTz/9qm78lVJOFRAADzzQlXPnevLLL573YdvvC8CsWQGUKvUYkyZ1tDqKUsoHTZv2GEWL9mPWLM/7gOlQARCR8SKyW0R2isgqEamUS7tMe5udIrLUkWU60549p1mw4DW6dUukWDGr0yilfFHp0tC1azIffTST48eTrI7zPxzdA5hijGlgjLkVWAaMyaXdRWPMrfbJY26xOW7cSmy2l+jcOcHqKEopH9a+/SHS0wcybNgnVkf5Hw4VAGNMcranxQHP6+TKRUYGbN3ag9tvP8Y999xodRyllA974onGFC/elG++eQebzXM2kw4fAxCRCSISA3Qn9z2AYBGJFpHNInJ/HvPrZ28bnZDguk/m33xjIyYGnn++msuWoZRSl3Xr9gxpaQeYOnWd1VH+ludpoCKyBsjp6qhIY8ySbO1GAcHGmLE5zKOSMSZWRGoCa4E2xpgjeYVz5Wmg4eGduHChJmfPTiNQL4dTSrlYYuJFwsIqU6lSK06cWOiy5Tj1NFBjTFtjTP0cpiVXNP0M6JrLPGLtX48C64GG+QnnKuvXHyUhYRlNm5bVjb9Syi3KlClKo0a9OXlyCTt3esa4wY6eBVQr29POwIEc2pQWkSL2x2HA7cA+R5brqJEj3wcKMXlyXytjKKX8zIQJ/YAMXnzxQ6ujAA5eCSwii4AbARvwBzDAGHNSRCLsj58SkebAe/Y2AcBbxpgP8jN/V3QBJSdfIjS0ChUq3EFs7FdOnbdSSuWlTJm2JCcf4sKFowQFFXL6/N12JbAxpqu9O6iBMaaTMeak/fVoY8xT9sebjDE3G2NusX/N18bfVV5+eTHGJDBo0AArYyil/FTv3gPIzDzOxIkrrI7if/cCCg1tyfnzMVy8eIjAQL+/EFop5WYXLqRTpkx3IiKG8OOPtzt9/novoFwsX36ApKQNtG3bTzf+SilLFCtWmOefX8DPP99OTIy1WfxqK/jyy+8BhfnPf3pbHUUp5ceefhpstpNERlp7TYDfFIBz5zLYufMzqlR5kHr1wq2Oo5TyY9WrQ7ly/Zk3rwdpaTbLcvhNAViyJBBjdjJx4kSroyilFJGRr2GzrWfFCus2w35zELhFC4iNhYMHs+7RrZRSVkpPh2rVoHFj+OYb581XDwJfYfnyA2zc2JpOnfbpxl8p5REKF4ZOnfazbNn9bNlizdFgv9gcfvTRSeAkffqUtTqKUkr9rXv3YGAJI0dac2WwzxeAS5dg3bo2dO16gPr1y1sdRyml/nbXXTUoW/ZufvjhA9LSMt2+fJ8vAHPmxPDnn5fo18/zhmNTSqmePfuRmRnDpEkr3b5snz8IXLp0ay5cOM/Fi1u0/18p5XFSUtIICalC+fLNiIv72uH56UFgu7Vrj3D27DruvLOTbvyVUh6pRIkgmjTpxalTy9x+m2if3iyOHv0hEMBrr+mVv0opzzVuXF8gk1Gj5rp1uT7bBZSamkHx4lUJC2vE6dPLnJxMKaWcq1Spu7h4MY7U1N8ICLj2Y5baBQRMnLgCmy2O3r110BellOd79NGnSE8/zPTpG922TKcVABF5QUSMfdSvnN7vKSKH7FNPZy03N7NnzyEgIJwxY+5z9aKUUsphEyc+RJEib7JpU323LdMpBUBEqgB3A8dzeb8MMBb4F9AUGCsipZ2x7Jzs3n2K+FNLiYjoRbFihV21GKWUcpqwsGL07v0cS5eWJXVklFuW6aw9gKnAcCC3AwrtgdXGmERjzF/AaqCDk5b9DyNHzsWGYdy4Pq5ahFJKOV2fPjZSU+ey6vVxblmewwVARDoDJ40xu67S7Dog+80uTthfczpj4IcftnMn0KHDja5YhFJKuUTjxkJw8FSWuGl5+SoAIrJGRPbmMHUBIoExec0ih9dy3FsQkX4iEi0i0QkJCfmJ9/+iopAA4VzKlyzLmlnWFBVVsPkopZS7RUURUCiA06m7+ADcsv1y6DRQEbkZ+B64YH+pMhALNDXGnMrWrhvQ0hjT3/78PWC9Mebzq83foSuBRbJ2B5RSyts4sP1y22mgxpg9xphwY0x1Y0x1srp2GmXf+NutBNqJSGn7wd929teUUkpZxGXXAYhIhIjMATDGJALjgW326RX7a64zdqxLZ6+UUi7jpu2Xz14JrJRS/kivBFZKKZUnLQBKKeWntAAopZSf0gKglFJ+SguAUkr5KY8+C0hEEoA/rvHbw4AzTozjLJqrYDRXwWiugvHFXNWMMeXy09CjC4AjRCQ6v6dCuZPmKhjNVTCaq2D8PZd2ASmllJ/SAqCUUn7KlwvA+1YHyIXmKhjNVTCaq2D8OpfPHgNQSil1db68B6CUUuoqfKYAiMgUETkgIrtFZLGIhObSroOIHBSRwyIy0g25HhaRX0XEJiK5HtUXkd9FZI+I7BQRl98BrwC53L2+yojIahE5ZP+a49jRIpJpX1c7RWSpC/Nc9ecXkSIi8oX9/S0iUt1VWQqYq5eIJGRbR0+5IdOHIhIvIntzeV9E5G175t0i0sjVmfKZq6WIJGVbV3kNcOWsXFVEZJ2I7Lf/Lw7JoY1r15kxxicmssYYCLQ/fh14PYc2hYAjQE0gCNgF1HVxrjrAjcB6IOIq7X4Hwty4vvLMZdH6mgyMtD8emdPv0f5eihvWUZ4/P/AMMMv++DHgCw/J1QuY4a6/J/sy7wIaAXtzeb8j8B1ZIwTeBmzxkFwtgWXuXFf25VYka/wUgJLAbzn8Hl26znxmD8AYs8oYk2F/upms0cmu1BQ4bIw5aoxJA+YDXVyca78x5qArl3Et8pnL7evLPv+59sdzgftdvLyryc/Pnz3vQqCNiOQ0BKq7c7mdMWYjcLVxProAn5gsm4FQEanoAbksYYyJM8bssD8+B+znn2Olu3Sd+UwBuEIfsqrmldw2OP01MMAqEdkuIv2sDmNnxfoqb4yJg6x/ECA8l3bB9rGjN4uIq4pEfn7+v9vYP4AkAWVdlKcguQC62rsNFopIFRdnyg9P/v9rJiK7ROQ7Eann7oXbuw4bAluueMul6yzQWTNyBxFZA1TI4a1IY8wSe5tIIAOYl9MscnjN4dOg8pMrH243xsSKSDiwWkQO2D+5WJnL7eurALOpal9fNYG1IrLHGHPE0WxXyM/P75J1lIf8LPMb4HNjzCURGUDWXkprF+fKixXrKj92kHX7hBQR6Qh8DdRy18JFpASwCBhqjEm+8u0cvsVp68yrCoAxpu3V3heRnsB9QBtj70C7wgkg+yehy4PYuzRXPucRa/8aLyKLydrNd6gAOCGX29eXiJwWkYrGmDj7rm58LvO4vL6Oish6sj49ObsA5Ofnv9zmhIgEAqVwfXdDnrmMMX9mezqbrONiVnPJ35Ojsm90jTHLReQdEQkzxrj8HkEiUpisjf88Y8xXOTRx6TrzmS4gEekAjAA6G2Mu5NJsG1BLRGqISBBZB+1cdgZJfolIcREpefkxWQe0czxjwc2sWF9LgZ72xz2Bf+ypiEhpESlifxwG3A7sc0GW/Pz82fM+BKzN5cOHW3Nd0U/cmaz+ZastBXrYz2y5DUi63N1nJRGpcPm4jYg0JWu7+OfVv8spyxXgA2C/MebNXJq5dp25+8i3qybgMFl9ZTvt0+UzMyoBy7O160jW0fYjZHWFuDrXA2RV8UvAaWDllbnIOptjl3361VNyWbS+ygLfA4fsX8vYX48A5tgfNwf22NfXHqCvC/P84+cHXiHrgwZAMPCl/e9vK1DT1eson7km2f+WdgHrgJvckOlzIA5It/9t9QUGAAPs7wsw0555D1c5K87NuQZmW1ebgeZuynUHWd05u7Nttzq6c53plcBKKeWnfKYLSCmlVMFoAVBKKT+lBUAppfyUFgCllPJTWgCUUspPaQFQSik/pQVAKaX8lBYApZTyU/8HqrQQPJfA3bsAAAAASUVORK5CYII=\n", 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", 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\n", 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", 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" ] @@ -170,7 +170,7 @@ " i = xi*m + yi\n", " M[i,k] = phi_bas(lk-n/2, jk, xtrain[xi], ytrain[yi])\n", " zztrain[i] = f(xtrain[xi], ytrain[yi])\n", - " \n", + "\n", "fcoef_res = np.linalg.lstsq(M, zztrain, rcond=1e-15)\n", "fcoef = fcoef_res[0]\n", "\n",