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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Computational Mechanics Boundary Values - Project 05\n", | |
"\n", | |
"![6-string guitar diagram](../images/guitar.png)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 36, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from scipy import linalg\n", | |
"plt.rcParams.update({'font.size': 22})\n", | |
"plt.rcParams['lines.linewidth'] = 3\n", | |
"from IPython.display import HTML\n", | |
"from IPython.display import Audio" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"In this final project, we will consider all six strings of a guitar and the deflection of the neck of the guitar. Here are the inputs for each of the strings, all L=0.64 m:\n", | |
"\n", | |
"|string|density (g/m)|tension (kg)|\n", | |
"|---|---|---|\n", | |
"|E|0.401|7.28|\n", | |
"|B|0.708|7.22|\n", | |
"|G|1.140|7.32|\n", | |
"|D|2.333|8.41|\n", | |
"|A|4.466|9.03|\n", | |
"|E|6.790|7.71|" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 37, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"E = 10e9 #N/m^2 \n", | |
"A = .02*.04 #m^2\n", | |
"I = (.04*.02**3)/12 #m^4\n", | |
"h = .004 #m\n", | |
"L = 0.64 #m\n", | |
"g=9.81\n", | |
"\n", | |
"Te = 7.28*g #N\n", | |
"Tb = 7.22*g #N\n", | |
"Tg = 7.32*g #N\n", | |
"Td = 8.41*g #N\n", | |
"Ta = 9.03*g #N\n", | |
"TE = 7.71*g #N\n", | |
"\n", | |
"T = Te + Tb + Tg + Td + Ta + TE\n", | |
"M = T*h\n", | |
"\n", | |
"#constants\n", | |
"A = 0 \n", | |
"B = M/E/I\n", | |
"C = 0\n", | |
"D = 0" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"1. The neck of the guitar can be considered a cantilever beam with an applied moment, shown above. At the tip we have a moment equal to the sum of the (tensions in the strings) $\\times$ (bridge height). Here we will consider it as $h=4~mm$. \n", | |
"\n", | |
"a. Use a finite difference approximation to determine the deflection of the guitar's bridge if the Young's modulus is E=10 GPa and it is a rectangular cross-section $2\\times4~cm^2$ and $I=\\frac{4\\cdot2^3}{12}~cm^4.$\n", | |
"\n", | |
"b. Demonstrate that your finite difference solution has converged. _e.g. decrease the step size $h$ and show the solution converges to a final value._" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 38, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"x = np.linspace(0, L, 1000)\n", | |
"y = lambda x: M*x**2/(2*E*I)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 39, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"deflection at end of guitar: 1.4155 mm\n", | |
"\n" | |
] | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 504x1080 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 504x1080 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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7Bbc20EIRqYxzyywGp83AW+6iwSIScePOAnQCTjsBcAYNC+akfC7HWr//8/RZ5LOwAxYvVT2qqgtU9UVV7YnzAz3XXfyA25A3Ut7zQs0w2pPlpJr73J5g/Nut5Pa7Fja35mSx+7JqDsm9y3eETGUiZQGLycbbUyY2RJrfcbrmgjMGR364howfrU45NZIjo+HX9SISrOwdRSTgVY+IVMcZHwCckYOD6RFi2cU4LepzyiOUP8i4Ygzag8Lt8dPAfTk7SLJXcX6I9gPX4gzzvQKntvQ9tyajKPJvDBrws3Q/x26BlrkO+/0f6lgOJZqfRb5R1R1ktCPI1RN9VXUrGbchSuE0GvXyjpsCofflt37/R+O8EKoNSE/37zYyt2fJr0a3kNEIuGmwgMztGXSG+/LXQGlCGI5zARhq8p535/nN+yBbTiWT99jej9N1PCQLWI4NW92/tYMlcNtFPO++vEBEQrZmF5EyIlI/wnJ4bwn8Q8Zzg0Lx9haqRUZvhawScMYWCORZMgKk8SG20y7QY87dH/9h7svNOD2GIuY23H3HfXmliHQIsK04MnrI7McZQC9rml44I94C9FXVpaq6D6fb7WGcmqBs3Y2LCP8avMuyLnTbF7xE6DYT/g30gh7LoUTrsygg3h5uQbuIi0hONYz+wY73PIDbxsG7P0OdF5aQEbT0F5GzQm1MRGqISKjPcGCgWhYR6UTGcfFOkK6y+eF1nM84BqfdTyCPkXErKFTtYDaq+req/hZqIiMQ3+M3P1Tj5JLEe2zPy6EdIGABy7HC20CzvdultIrbiK1UloZoz+IMmAUwRkQmisiFIlJLRCqJSEMRuVREXsRpFNuTMLnjOXgPzg/DPCF9RkZr82CNb9cCd4nI226j3SoicrqIvE/GraTx7okhmLXAOyKS4r7HaiJyAc7zbry3DfqF84UK4QmclvsxwJci0ldEjhORqiLSEWcEWW+36f7u1bGPiDTCaYsA8LWqjvMuU9WFOANfAdwiIlfkoZz5QlX/JqOGqr/bi6Wpu6/b4wSDNxCi547bnXOl+/I+ETlZRBK8x3IExcnTZ1GAZrp/TwtRw/g/EZkjIg+KyFkiUtN9HyeKyACc9wowX7OPr+M9L/Ry100Msi/vwGmgmoAz5MEoETnT/eyqisgJ4nSp/gDnVs5xBLYdJyD9QUQuE5HqIlJfRB7AqekQdzsF1hbLPS697ehuE5F3ReQ0Eans7sMXyejW/CMBAhYRGSoZXfNLylPCC4q35mpWWKk1lyP3HWsTBfTww1zmkdNIt7UJ/JwbJfuzhCoCk4KkzTrdFcE+8B/t8owI1vMO3bwXKO833/9ZQh+GKGO4zxJaFiKPkUHKlunhh2G8l5bk4vk17jHifWTCJqB6gDQxOF2dFedKOusxEvbDD0OU3/fAyTA+50DbaUHGox0CTanA7aH2KRnP1wk0RfIsoVx9FhHur6D7Iszjxf/hh+1z+ExCTWlAowDrXhxinazPEjqB0M9M8k7pQItg+wHn9uvBIOsW+LOE/Mo4Jof39RNZHhcR4P1l229hbjvihx8GSZPj+YgQvzehlmVJNyGM8ub4HcFpO+hNE9bDD62G5RigzgisbXF+EP7CGXo/WNqdqtoNZ6TRd3FOdvtwTpxbcK4yngBOUdWXw9m+W4vjHS10tUb2CHfvbaEEnLE7shUZp23MHTg/6jvd8v6CM3Lv+ercNgllK06k731C8X6ck+f/gEtU9ZEIyhuUOrU8zXGCrAVuWQ/hjKORCrRVZ6CqrJ5wy6fAzRqg+6U6NVY34ASmVXBqjIrU91ud2wun4TwT6W+cY2ozzoiw16vq9TjvMVQe43De50yc95qrWwd5+CwKjKr+g/NgQ3CenhvI+Tij8n6BE3TvwBmX51+cffRf4ERVXZV1RVWdjBO0fIPz3T4SoixLcRpE98J5bs1GnP11AGefTcFpT1XX/ZyD5fMZzrnoI5xbw959/qpbzp+CrZufVPU+nH35Cc57O4wTXH+PEwicraqbg+dgcsF7TP+kqotCpnSJG+kYU6yIyAackXkHqGpOXaMDrd8I57HrAOeoaoE3rDQmJyJyIU5AsQPnGT0Hc1ilyBGRoUAKzsVKo5zSm2ODiKTh3D68RVXfCmedInUFZowxJpNvgZ9xhjcP59laxhR5ItIVJ1hZQwSN2i1gMcaYIkqdKnDvgG+Pu+MCGVPceZ+H9phG0JnBAhZjjCnCVHUmTluW44CbCrk4xuSJiFyK84DM+ThtmcJmQ/MbY0wR5zaEN6bYU9WvyOXzhayGxRhjjDFFnvUSKkGqVaumDRo0KOxiGGOMKUIWLlz4r6pWL+xy5JXdEipBGjRowIIFCwq7GMYYY4oQEcn3h0kWBLslZIwxxpgizwIWY4wxxhR5FrAYY4wxpsizgMUYY4wxRZ4FLMYYY4wp8ixgMcYYY0yRZwGLMcYYU4R4Uj1MazSN72O+Z26DuXhSPYVdpCLBAhZjjDGmiPCkelh852IeOuchBl49kO3/bGdF7xUWtGABizHGGFNkpKWkMab9GP5o8Ac/NvuRe2+5lwMHD5CWklbYRSt0NtLtMSw9PZ3t27ezZ88eDhw4QHp6emEXyZioiomJoUyZMiQmJlK5cmViYuwazRRtHyV9xKTWk3yvOy7uSNzROA7+dbAQS1U0WMByjDpy5Ajr16+nVKlSVKlShYSEBGJiYhDJ1UM0jSlyVJX09HT27dvHjh072LVrF/Xq1aNUKTvtmaLFk+ohLSWNeTKPF2940Te/46KOXDf7OgDi68cXVvGKDLvcOEZt27aN+Ph46tatS/ny5YmNjbVgxZQoIkJsbCzly5enbt26xMfHs23btsIuljGZeFI9rOi9grU71zLoqkEcjT0KQJONTXh40sMIQkxCDA2faljIJS18FrAco3bu3EnVqlUtSDHHBBGhatWq7Ny5s7CLYkwmaSlp7Dmyh5RrU9iVsAuAynsqM/SjoZQ5Uob45HiavtaUGtfXKOSSFj6rGz1GHTlyhLi4uMIuhjEFJi4ujiNHjhR2MYzJZP9f+xl+1XDW1FgDQOkjpRnywRCq76xOh/QOhVu4IsZqWI5hVrtijiV2vJui6O3ubzO7+Wzf6we/fJAWG1pYm5UALGAxxhhjCpgn1cOgjoN455R3fPOumHsFF/1+kbVZCcICFmOMMaYAeVI9fDL4E4a3G+6bd+afZ3Lnt3dam5UQrA2LMcYYU4B+HPYjKT1SOFzqMADJm5MZMHEACfUTaLO2TSGXruiyGhZjTK40aNAAEWHt2rWFsn0RsXYpptjZfXA3fdv3ZUe5HQBU3FuR4e8Np9zBcjY4XA4sYDHGGGPymSfVw+zjZnNhrwt9PYJKHS3FkA+HUGtHLcAGh8uJ3RIyxuTKd999x+HDh6lTp05hF8WYIs07ONzYs8cyt+lc3/yHJj3ESX+dBGANbcNgAYsxJleOP/74wi6CMcVCWkoaXzb9ko/afuSbd+3sa7lo8UUgTs1Kw6caWkPbHNgtIWOC8G8j8eGHH9KmTRsSExMpX748nTp1Yvbs2dnWWbt2LSJCgwYNwso32Pzx48fTqlUrypUrR82aNbn11lvZsmULAAcOHGDQoEE0adKEMmXKUL9+fVJSUjh8+HDQbU6dOpVu3bpRo0YN4uLiqFWrFtdeey2LFi0K+R6OHDnCM888wymnnEK5cuWoVKmSL12oNiyqykcffUSXLl1ISkoiLi6OOnXq0KlTJ1566aVMabds2cILL7zARRddxHHHHUeZMmWoWLEiZ511FmPHjuXo0aNB35cxxcE8mcdzlz7ne91ueTtu++42SIcO6R1os7aNBSvhUFWbSsh0+umna7iWLl0adtpo2TRhk85JnqPTZbrOSZ6jmyZsKvAyRAJQQAcMGKAxMTF67rnn6lVXXaXNmjVTQOPi4nTOnDmZ1lmzZo0CmpycnGO+web369dP4+Li9Pzzz9eePXtqzZo1FdCTTz5Zd+/erW3bttXKlStr9+7dtUuXLpqQkKCA3n777QG3d9999ymgpUqV0jZt2uiVV16pp556qgJapkwZ/frrrwO+h/r162u3bt00Li5OO3furNdcc422bdvWly45OVkBXbNmTab1Dx48qN26dVNAY2NjtV27dnrttddqx44dNSkpKdt7f/fddxXQunXraocOHfTqq6/WDh06aHx8vAJ62WWXaXp6etj7MZTCOO7NsWvThE360YkfaYV+FZTBKIPR4+88XifHTdbpOOfBggAs0CLwG5XXqdALYFP0pqIcsGyasElnJszU6Uz3TTMTZhbpoMX7g1ilShVdsGCBb/7Ro0f19ttvV0A7d+6caZ1oBCw1atTI9Pls27ZNmzZtqoCeeOKJevbZZ+uOHTt8y3/99VctVaqUioiuXbs2U54vv/yyAtqiRQtdtmxZpmWfffaZlipVSitVqqTbtm3L9h68Qcuff/4Z8H0EC1i8AVKTJk2ybfPIkSP6xRdfZJq3dOlS/emnn7Llv3HjRm3ZsqUC+sEHHwTdX5GwgMUUlE0TNulXlb/S+nfX9wUrlftW1g8qflDg5z8LWGwqclNRDljmJM/JFKx4p4K6wsgN7w/iiy++mG2Zx+NRQOPj4/XQoUO++dEIWF599dVsy5577jkFNCYmJuBn563RePvtt33zjhw5orVq1VJAlyxZErAsd999twI6ZsyYbO8B0NTU1KDvI1DA4vF4tHTp0hoTE6OLFy8Oum64vv32WwX0iiuuyLbMAhZTlM1qMEtb/aeVL1gp3b+0jq0z1nfeK8iLtZISsFijW1Mggo0vUBzGHbj00kuzzUtKSqJy5cps376drVu3UrNmzaht76KLLso2r1GjRgAkJyfTvHnzbMsbN24MwMaNG33zfvvtN/755x9atGjBCSecEHBb7du3Z+zYscydO5d777032/IePXpEVPbvv/+ew4cP065dO1q0aBH2ekeOHOH7779n7ty5bNq0iQMHDqCq7N69G4CVK1dGVA5jCpOq8syJz7Cg0QLfvEc+f4QT/j4BBBscLpcsYDEFIr5+PAfXZQ9OisO4A/Xr1w84v0KFCmzfvp0DBw5EdXt169bNNi8xMTHoMv/l/mVJS0sDYMmSJTkOsOZt0OsvKSmJsmXLhldo17p16wBo1qxZ2OusXLmS7t27s2zZsqBpdu3aFVE5jCkMnlQPaSlpvFPnHSZdMMk3/4aZN9BpcSegeJzziioLWEyBaPhUQ1b0XkH6vnTfvOIy7kBMTPQ606Wnp+eYJtT2IimLt3dNnTp16Ny5c8i0gQKMSIOV3LriiitYtmwZ3bp1o1+/fjRv3pyKFSsSGxvLypUradq0KU6ttjFFl3eslenJ03nlgld88zsu6kiv6b2A4nPOK6osYDEFwttlLy0ljYN/HSyx4w7ExcUBsGfPnoDLvTUQBaFevXoA1KpVi/HjxxfINpOTkwFYsWJFWOmXL1/OokWLSEpK4tNPPyU2NjbT8lWrVkW9jMbkh7SUNBZXWcywnsN8805adxKPfPkIIlJiz3kFyQIWU2BqXF+jxH9Zq1evTlxcHFu3bmXLli1Ur1490/LJkycXWFnOOOMMqlatyq+//sqqVat87WDyU8eOHSldujRz5sxh2bJlAdvb+Nu2bRsAtWvXzhasAKSmpuZLOY2JtrW71pJyWwqHSh8CoO7Wugz5YAhxh+PokN6hcAtXQtjAccZEUenSpTnnnHMAGDhwYKZbGbNnz2bgwIEFWpYBAwZw9OhRunfvzvz587Ol2bt3L++//37I9iORSEpK4s477yQ9PZ3LL788W2PZo0eP8uWXX/peN27cmJiYGBYvXsysWbMypX3rrbd4//33o1IuY/KLJ9XD1CZTefS6R30PNKywrwIjUkdQcX9Fa7MSRVbDYkyUPfnkk/zwww+88sorzJw5kxYtWrBu3ToWLlzI448/ztChQwusLPfffz/r1q3jueee48wzz+Tkk0/m+OOPJz09nfXr17N8+XL27dvHlClTcqwNCdeoUaNYvXo1kydPpkWLFrRp04a6deuyefNmFi1axObNm32BXPXq1enTpw8vvfQS5513Hu3bt6dmzZosWrSIxYsX89hjjzF8+PColMuYaPOkelh852Ieu/wx/mRh4xIAACAASURBVKr+FwClj5Rm6PtDqbOtjrVZiTKrYTEmytq2bct3331Hp06dWL9+ve820DvvvMOQIUMKvDyjR49m5syZXHPNNWzfvp2vv/6aGTNmsG/fPrp27UpqaqqvViga4uPj+fLLL3n33Xc599xzWbx4MRMnTmT58uWcfPLJjB07NlP6F154gddee41TTjmF+fPnM2XKFGrUqMGUKVPo3bt31MplTLStTlnN052f5tfjfvXNe/TzRzlp/UnEJ8fT9LWmJf42eEESa31fcrRq1UoXLFiQc0IIq32BMSWNHfcmmnp16MX488b7Xt/63a3854f/gFCk2q2IyEJVbVXY5cgruyVkjDHGhMk71spXFb9ifM/xvvkX/3Ix1/9wPWBjreQXuyVkjDHGhME71so85vH0ZU/75p+++nT++9V/EcTareQjC1iMMcaYMKSlpLE2YS0DrxnIkdgjADTY3IDBnwymlJaydiv5zG4JGWOMMWHYuG0j/W7tx+6yzjOuquyuwvDU4STuTyxSbVZKKqthMcYYY0LwpHqY1ngaj173KJ5KHgDKHCrDsPeHUXNnTWuzUkAsYDHGGGOC8I618mibR1lVy3lUREx6DIM/GkzTjU2tzUoBsoDFGGOMCWJ1ympGnj+Shccv9M3rO6kvZ64609qsFDBrw2KMMcYEMbbxWP53yv98r3t934suv3UBgTZr2xRiyY49eQpYRCRRVQM/ltYYY4wphrxjrXxQ4wPeu/g93/xLF1zKDbNuAGyslcIQdsAiIo2AbkBH4FSgOhArIkeBLcAvwHRgkqraM+GNMcYUO96xVmbWn8mLXV70zW+7oi0PTH7AxlopRDkGLCJyMXA/0AkQd8qaRy3gEuBi4GkRmQa8oKpToltcY4wxJv+kpaTxe9XfGXr5UFScR9c039Cc/p/1J1ZjiU+Op+FTDa3dSiEIGrCIyEnA80AHnCBlITANmAssBbYBu4AKQFXgBKANcD5wAXC+iEwHHlDVxfn3FowxxpjoWLlvJSm3pHCo9CEA6mytw7D3hlH2YFkba6WQhaph+RXYDzwHvKmqS4Ok2+ZOfwJfAI+KyAnAbcDtbj6lo1ZiY4wxJso8qR7mD53PI9c/4hsYrvKeyoycMJJK+yoRn2xtVgpbqG7NY4HjVbVviGAlIFVdqqoPAo3cfIwxxpgiyZPq4Zd7fuHB9g9mGhhu+HvDqbO9jrVZKSKCBiyqer+qbs5L5qrqUdUH8pKHMSawBg0aICKsXbu2QLYnIohkbcJWMNauXYuI0KBBg0LZvinZlg1cxmPdHws4MJyNtVJ02MBxxhhuvvlmRITx48cXdlGMKVBH0o8woPUAfm/wu2+ed2A471grFqwUDTZwnDEmLMuWLSvsIhgTNZ5UD6tTVvPUKU8x+7TZvvm9/9fbGRgOG2ulqIk4YBGRekB7oDZQJkgyVdUheSmYMaZoadasWWEXwZio8I618mqbV5l82mTf/Kt/vJprf7wWwNqtFEFh3xISkVIi8gqwBngbGA4MzjIN8vvfmGJt3rx5PPzww7Rq1YoaNWoQFxdH7dq1ueKKK/jpp5+ypR88eDAiwuDBg/F4PNxxxx3UrVuX+Ph4jjvuOB599FEOHDiQbb3du3fz2muv0b17dxo1akRCQgKJiYmceuqpPPXUU+zfvz+s8qoqjRs3RkQCls+rZ8+eiAjjxo3ztQ15++23AejVq5evrUrWW0Sh2rAcPnyY1157jfPOO48qVaoQHx9P/fr1ufTSS0lNTc2Udt26dQwfPpzzzjuPevXqER8fT5UqVTjvvPN47733AuZvTDSlpaTxwSkf8N45Gcfbhb9dyB3f3wGCtVspoiKpYRkM9AaOAJNxujHbsPymxEpJSWHGjBm0aNGCM844g/j4eFasWMEnn3zC559/zvvvv8+VV16Zbb3169dz+umno6q0bduWXbt2MXv2bEaOHMnSpUuZNGlSpvS///47d9xxB0lJSTRt2pRWrVqxdetW5s2bR//+/Zk0aRIzZ86kTJlgFZoOEeHuu+/mv//9L+PGjeOss87Klubvv//myy+/pHz58txwww0cPHiQm266idmzZ7N69WratWtHo0aNfOn9/w9m+/btXHLJJcydO5f4+HjatWtHUlISGzdu5Mcff2Tx4sVcf/31vvTvvvsuAwYM4Pjjj6dZs2a0a9eODRs28MMPPzBjxgzmzZvHCy+8kON2jcmtSZUm8fKFL/tet13RlocnPYyo2FgrRZmqhjUB64DdwMnhrmNTwU6nn366hmvp0qVhpz1WTZkyRTdt2pRt/qRJk7R06dJapUoV3bt3r2/+oEGDFFBAb7vtNj148KBv2dKlSzUxMVEBnT17dqb81q9fr999950ePXo00/zt27frRRddpICOGDEiWzmSk5MV0DVr1vjm7dixQxMTEzU+Pl63bNmSbZ0BAwYooHfffXem+TfddJMC+tZbbwXdH973llW3bt0U0DZt2ujff/+dadn+/ft18uTJmebNnz9fFy9enC2flStXar169RTQn376KdOyNWvWKKDJyclByxcOO+6PXZsmbNI5yXN0WJNhGjMwRhmMMhg9qddJ+k2pb3Q603VO8pzCLma+ABZoEfiNyusUSQ1LEvCdqv4RpVjJFGHyROF0X40GHaRRyeeiiy4KOL9r165ceeWVvPfee0yfPp1LLrkk0/J69eoxZswY4uLifPOaN2/ODTfcwMsvv8x3331Hu3btfMvq1q1L3bp1s22nUqVKjBkzhiZNmjBx4kQeeeSRHMtcsWJF33befPNN+vXr51t2+PBhXn/9dQD69OmTY17h+O2335g0aRKJiYl88cUXVK9ePdPyMmXK0KVLl0zzWrduHTCvxo0bM2DAAHr37s3EiRM588wzo1JGY7xtVn6v9juDrxxMekw6AA03NWTY+8OIPxJvbVaKgUgClr+Ag/lVEGOKon///ZevvvqKxYsXs2PHDo4cOQLA4sXO0yZWrlyZLWDp2LEjZcuWzZaXt9Hqxo0bsy1TVX788UdmzZrFhg0b2L9/v++qwrudcN1zzz28/PLLvPLKK/Tt25eYGKep2qeffsqmTZvo0KEDJ5xwQtj5hfLNN98AcNlll2ULVkI5cOAAU6dO5eeff2bLli0cPOicWv755x8gsvdrTE7SUtL4s/yfPHbdY74h92tvq83T7z9N4sFEez5QMRFJwPIBcLeIJKqqtV0xJd6rr77Kgw8+yL59+4Km2bVrV7Z59evXD5i2QoUKANka3no8Hnr27MmcOXMi2k4wJ5xwAp07d2batGl88803XHzxxQCMGzcOgLvvvjvsvHKybt06ILIeRHPnzuWqq65iw4YNQdNE8n6NycnaXWvpd0s/9pbZCzhD7j/97tNU3VXV2qwUI5EELMOAzsDXInK7qtolUAkWrdsqxdWCBQu46667KFWqFKNGjaJr167UrVuXhIQERITHH3+c4cOH+2pA/HlrNMJ12223MWfOHNq1a8fgwYM55ZRTqFSpEqVLl+bQoUPEx0c+FsS9997LtGnTGDduHBdffDFLlixh1qxZ1K5dm+7du0ecX7Ts27ePHj164PF4uPXWW7nrrrto1KgR5cuXJyYmhm+//ZYLL7ww4H41JlKeVA/zhs6j7w192VZ+GwDlDpTj6QlPU2d7HXs+UDETdsCiqgdF5AKcpzUvEZF1wAYgPXBy7RSlMhpT4CZOnIiqct9999G3b99sy1etWhWV7ezdu5fJkycTGxvLV199RaVKlaKynUsvvZTjjjuOKVOmsHbtWsaOdR7p1bt3b0qVit54kcnJyQCsWLEirPSzZs3C4/Fw+umn88Ybb2RbHq39aown1cO8++dx39X3sbGKcxu29JHSDH1/KI02NbI2K8VQJOOwVANmAy2AWKAhcC7QIchkTLG1bZtzNVavXr1sy7Zs2cL//ve/qGxn586dpKenU758+WzBCpBtDJNwxcTE0KdPH9LT0xk1ahQTJkygVKlS9O7dO2B6bwNhbxudcF144YUAfPHFF/z77785pg+1XwEbh8VEzaLBi3j48odZl+TctoxJj2HQx4Noua6ljbNSTEVSdz0COAVYCfwX6AqcF2TqGN1iGlOwvG0y3nnnHfbsyWiytXv3bm655RZ27NgRle3UqFGDypUrs2PHjmw/1t988w2jR4/Odd633norCQkJjBs3jt27d9OjRw9q1aoVMG2dOnWAyIffP/XUU+natasvf2+jWa8DBw4wZcoU32vvfv3+++9Zvny5b356ejpPPvkkP/74Y0TbNyaQfYf38dA5D7GyttNyQVR4/NPHabeinT0fqBiLJGC5BPgHOEtVX1DVr1V1ZrApn8prTIHo1asX9erV45dffqFhw4b07NmTHj160KBBAxYsWMAtt9wSle3ExsaSkpICwPXXX0/btm257rrrOPPMM+nSpQsPPvhgrvOuXLky//nPf3yvQzW2veyyy4iJieH555/nwgsv5NZbb/W1rcnJ+PHjad26NbNnz6Zhw4acf/75XHfddXTo0IFatWpx1113+dKedtppdO3alV27dtGyZUu6dOnCNddcQ+PGjRkyZEimbtjGRMqT6mFmw5l0uKUDfyRnjMDx4JcP0mmx00rBng9UfEUSsJQH5qjqzvwqjDFFReXKlVmwYAG9e/cmMTGRr7/+mgULFtCzZ09++eWXoLc0cuOhhx5i4sSJnHXWWSxZsoSvvvqK2NhYJkyYwFNPPZWnvM8//3wAWrRoQfv27YOma9myJR9++CGtW7dmzpw5vPnmm/zf//1fWN2Lq1Spwg8//MCLL77Iaaedxvz58/n0009Zs2YN55xzDiNGjMiUfuLEiYwYMYJGjRoxY8YMvvvuO1q0aMHs2bOzjdliTLg8qR6W3LGEga0H8nOjn33z75p6F5f+cilgzwcq7iTc1vgi8jOwVVUDj6YVrQKJXAfcBZyM01ZmOfAW8LKqBmrgmy/5RbqeiDQFLgJaA62AJoAAV6rqxPwqp79WrVrpggULwknKsmXLaN68eVhpTfHVo0cPPv/8c8aNG5eppuNYZcd9yfVjgx8ZcuoQprac6pt304ybuPmHmyHdqVk5VsdaEZGFqtqqsMuRV5F0FxgLvCIiTfKrS7OIjAX6AAeA74DDQCfgJaCTiFypqkfzO79crncXcH8EbzfP5TQmlIULFzJp0iSqVq3KjTfeWNjFMSZfeFI9rE5ZzbMnPJspWLli7hXcNOMmEGyslRIikm7N40WkGTBDRAYAU1U1+MhPERKRy3F+tDcB56rqn+78GsB0oAdwDxDWU9Fym18eyrEYGAUsABYC/wcEr4PPp/dtzG233caePXuYPHmyrzFruXLlCrtYxkSdd8j91856jc/O/Mw3/5KFl9Bnah8EsTYrJUgkt4QiucJXVY1osAcRWQCcDtykqu9kWdYemIHzo14nnFskuc0vWuUQkRk4AUvIW0LRfN92S8iA89TmmJgYkpOT6dOnT8BxZI5VdtyXLHMbzGV83fG8dv5rvnnnLT6PlE9SiNVYYhJirPsyx+YtoUiehhfRk/NEpC7Oj/Yh4OOsy1V1poj8DdQBzgJCdl3IbX7RLkdOCnp75thgo8SaY8UHNT7IFKy0WdGGxz99nFiNtecDlUBh9xJS1ZhIpgjLcar7d4mq7g+S5ucsafMjv2iXIycFvT1jjCnWPKke5jaYy4OtH2TMxWN8809dcyqDPh5EqfRSxCfH21grJVCkgUV+Oc79uy5Emr+ypM2P/KJdjpwU9PaMMabY8rZZ+azKZzx36XO++S3+asHQ94cSfyTeui6XYEUlYEl0/+4NkcY73Gj5fMwv2uXISUFvzxhjiq20lDSmNprKM92e8c1rtqEZIz4YQcLhBBtyv4QL2oZFRKqq6ta8biDMfLxtXqJ18z23+UW7HPm+PRHpDfQGqF+/fkTrqioiETU3MqbYsrY9xd+U8lMY0X0EKs5n2XhjY56e8DSJBxOt6/IxIFQNS5qIDBSRxBBpghKRRBEZDKSFkXy3+zfUtrzLdodIk9f8ol2OnOR5e6r6mqq2UtVW1atXD3vDsbGxHD1qQ7uYY8fRo0eJjY0t7GKYXPCkehjefjhP9XyK9Bins2TDTQ0Z9e4oyh8ob12XjxGhApY5wGDgbxF5XUTOEZGQ33YRiRWRc0Xk/4C/gYE4T3jOyVr3b3KINN6x0NeGSJPX/KJdjpwU9PZ8EhISMj3Uz5iSbs+ePSQkJBR2MUyEPKke3hz5JgPaD/AFK8mbk3nm3WeouL+itVk5hgS9JaSqXUTkUuAZ4FbgFmC/O27IMmArsAuoAFQFTsAZkr4Mzq2OZcDDqjo5jHL86v5tISJlg/SYaZ0lbX7kF+1y5Fc586xChQr8+++/lC9f3q46TYl39OhRtm3bRrVq1Qq7KCZCqeNSGXTZII7GOjXC9f6tx+h3RlN5b2XrunyMCTkOi6p+BXwlIpfgjMbaGTjXnfxvCHsbQhwEvgTGqeq34RZCVdeLyC/AacCVQKAB1OriDKA2N7/yi3Y58quc0VC+fHn279/PunXrqFKlComJicTGxlqbFlNiqCpHjx5lz549bNu2jXLlylG+vLVdLw48qR7SUtKYEzuHx657jMOlDgNQe1ttnn37WarsqQICbda2KeSSmoIU1sBxqvo18LWIlAXaAS2BJKAisAPYDPyC8zTng7ksy3CcwdNGisgcVV0FICJJwDg3zYgso9IOxxm6/jNVfSyv+eVxvdwq6O3h5k9SUhK7d+9m165dbN682dq0mBInNjaWhIQEqlWrRvny5S0gLwa8XZd/SfqFlGtTfMFKze01Gf32aKrvdtrqWbuVY0/YQ/MXBBEZh/MQwQPANDIeAlgB+By4wv8hgCIyHrgJeFtVb85rfnlZT0ROIyPAAOcWWXngT2Cbd6aqnhWtcmYVydD8xhhTFM1tMJd5Mo/HrnuMA3EHAEjamcTzbz1PrR21AGzI/Qgdi0Pz5ztV7SMis4G7cZ7DEwssB94EXo60liG3+eVyvQrAmQHmN86vchpjTEkzN2Yuj1/3OAdLO5X11XZVY/Tbo51gRZyaFWu3cmwqUjUsJm+shsUYU1x5Uj189NJHPNzp4WzBSr2t9XzD7ZvIlZQalqIy0q0xxphjlCfVQ+pTqfTt1DdTsPLc+Oeot7WedV02gAUsxhhjCtn7Y9/nsZ6Pcaj0IQCq76zO8+Ofp+62ujbcvvEpUm1YjDHGHBu8XZd/KP0D/a/p7+sNlLQzidHjR1Nnex3rumwysRoWY4wxBcrbdXlW6VmZgpUaO2rw3PjnnGAF67psMrMaFmOMMQUqLSWNOXXmMPDqgdmCFf+uy9ZuxfizGhZjjDEFakb8jEzBSs3tNXl+/PMZXZet3YoJwGpYjDHG5Dtvm5Xvyn7HE1c/wZHYIwDU2l6L0eNHU3NnTeu6bEKKOGARkTY4o7DWxnnQYSCqqrfmpWDGGGNKBm+blWkNp/FUz6d8T12uva02o98eTY2dNewWkMlR2AGLiMQDHwJdvbNCJFecJzwbY4w5xqWlpPF1k68ZddkoVJzBSutsrcPoCaNJ2pVkT102YYmkhmUw0A3YA7yLM3T8rnwokzHGmBLAexvog6QPGHPJGN/85M3JPPvOs1TdW5UO6R0Kr4CmWIkkYLka2Au0VtUV+VQeY4wxJYD3NtB7Ld/j1Qte9c1v9E8jRr07ikr7KhGfbN2WTfgiCVhqA9MtWDHGGJOT1Smreav1W4w/b7xvXvMNzRk5YSTlD5S3NismYpEELFuwW0DGGGNyoKqMaTKGD9t96Jt3ytpTGPbeMBIOJVibFZMrkQQsk4GLRaSUqh7JrwIZY4wpnjypHlalrOKZFs/webvPffNbr2rNkx8+SZnDZazrssm1SAaOG+D+fcntMWSMMcYATrCy9I6lDG05lM/PyAhWzl52NkPfH0qZw2XsNpDJk0hqWO4EpgK3AxeJyPfAX0B6gLSqqkOiUD5jjDHFwIoBKxjSZQjTT5zum9dxUUcem/QYpdJL2W0gk2eRdmtWnPFX6gM3B0jjXa6ABSzGGFPCeVI9LBm0hMfaPsb8xvN987v80oWHvnyIWGKt67KJikgClifyrRTGGGOKHU+qhwX3LuCRHo+wpP4S3/we83pwzzf3EKMx1nXZRE3YAYuqWsBijDHGZ/7Q+TxwzQOk1Ujzzbtpxk3cNOMmBLE2Kyaq7OGHxhhjwuYdvXbNrjU8fMPDbKyy0bfsnin3cPm8ywGszYqJulwHLCJSC6jjvvxbVf+JTpGMMcYURd7Ra1cnrubhWx5ma/mtAMSkx/DI549wwR8XAFjXZZMvIunWDICI3C4iK4ANwDx32iAiy0XktmgX0BhjTNGQlpLG4iqLub/X/b5gpfSR0gz5YIgvWLHbQCa/RBSwiMh44BWgsTtrI+CtWWkCvCoib0WtdMYYY4qM2aVm89CND7G77G4AEg4m8PS7T9N2ZVsQp2al6WtN7TaQyRdh3xISkWuBG4HNOF2c31LVg+6yeJxuzoOBG0Vkqqp+EO3CGmOMKXieVA9vvP4Gg68bzJFYZ6DzSnsrMXLCSJr808RuAZkCEUkNy+3AIaCjqr7iDVYAVPWgqr4KdAIOA72jW0xjjDGFwZPqYfjLwxnQYYAvWEnamcQLb75Ak3+a2C0gU2AiaXTbEpipqkuDJVDVpSIyAzgjrwUzxhhTuFSVhz99mHfPf9c3r/6W+ox6dxRJu5KsJ5ApUJEELAnA1jDSbQPK5q44xhhjCpsn1cPK/isZ2nIo37b81je/+YbmDH9vOBX3VQTBbgOZAhVJwPI3cIaIiKpqoAQiIkBrnMa4xhhjihlPqodf7/6VgV0H8nOjn33z26xow4CJAyh72Lkeja9vI9iaghVJG5apwHHAKBGJzbpQRGKAkUBD4JvoFM8YY0xBWjBkAfdffX+mYOXiXy5myIdDfMGKtVsxhSGSGpYRwDXAf4GeIpIKrMF50GFD4FqcgGaHm9YYY0wx4Un1MGvELB648IFMo9feOONGbp5xM4I4XZfrW7sVUzgieZbQXyLSBfgYaAA8niWJAOuBq1R1fdRKaIwxJl95Uj18PvBzHr38UXaU2wE4o9c+8PUDdF3YFbDRa03hi2hoflWdJyKNgSuB9jhD8wvOqLczgY/9uzsbY4wp+lLHpZJyTQoH4g4AEHc4joETB9JuRTvAbgGZoiHiZwm5AckEdzLGGFMMeR9i+GnVTxl96WjSY9IBqLCvAk+9/xQnrj8RsIcYmqLDntZsjDHHGE+qh2W9l/F6m9d575z3fPNr7KjB0xOepv6/9QG7DWSKFgtYjDHmGLNs4DKevPhJpp843Tev8T+NGfbeMKrtrgbYbSBT9AQNWEQkDacHUGdVXeO+Dpeq6vF5Lp0xxpio8aR6WPjkQvp16MeS+kt8889aeRYDJw6k7KGy1hPIFFmhalga4AQspf1ehyvgwHLGGGMKhyfVw7RHptHv8n6Zui13n9+de765h9j0WLsFZIq0UAHLce7fv7O8NsYYU8x8OuZTHr3+UXYl7AJAVOgztQ+X/3Q5gtgtIFPkBQ1YVHVdqNfGGGOKNm9PoK8qfsWobqM4XOowAPGH4+n/SX/OXn6289p6ApliIOxGtyJyLrBJVVfmkK4xUEtVZ+W1cMYYY3LHk+phee/lvN3qbd7q+JZvfuU9lRn23jCabWwGWE8gU3xE8iyhGcAjYaTrB0zPMZUxxph8s2zgMp668KlMwUry5mTGvTHOF6zYbSBTnETarVnypRTGGGPyzHsL6J+t/zDg6gEsrbfUt+y0tNN44qMnSDyQaD2BTLGUH+OwJAH78yFfY4wxQXhSPazovYKVFVaScnsKmytu9i27+JeLeeDrByh9tLTdAjLFVsiAxW234q9mgHn+eTUHLgCWRaFsxhhjwpSWksaM5BkM7zHc90ygmPQY7vr2LusJZEqEnGpYZpB5TJUL3SkUAV7NQ5mMMcaEyZPqYXXKat6s/yb/1+n/fPPLHSjHgIkDOHPVmXYLyJQIOQUss8gIWNoDm4HlQdIewhmz5TNV/TI6xTPGGBOMJ9XDH33+YMT5I/j+pO9982tvq82w94aR/G+y3QIyJUbIgEVVO3j/F5F0YIqq3pLfhTLGGJOzeUPn8cjVj7C8TsZ1ZMs1LRn80WAq7q9ot4BMiRJJo9vzgE35VRBjjDE58/YE+uPwH/S/pj//VvjXt6zrgq7cN/k+SqWXssHgTIkTdsCiqjPzsyDGGGNC8/YE+qbRNzzb9VkOlT4EOI1r7/nmHrrP744gdhvIlEhhDxwnIl1E5HsROS9Emo5umvOjUzxjjDFeK/uvZMy5Yxjec7gvWCl3oBwjJ4ykx/we1hPIlGiRjHTbC2gFzA+RZj7QGrg5D2Uyxhjjx5PqYXLTydzX/j4+OesT3/zkLcm8/PrLtEpr5fQESo6n6WtN7TaQKZEiacNyOvC7qu4NlkBV94jIb8CZeS6ZMcYYPKkeJg2YRP/u/TMNBnfOsnN49LNHSTiUYLeAzDEhkoClFjAvjHTrgVNzVxxjjDH+xr45lpHXjfTdAhIVbvn+Fq6bfR0xGmO3gMwxI5KA5SBQMYx0FYGjuSuOMcYYT6qHlf1X8kKzF/jk3IxbQOUOlCPlkxTa/OnUplhPIHMsiSRgWQacLSIVVXVnoAQiUgE4G1gZjcIZY8yxxpPqYd798xh06SB+O+433/zkzckM/WAodbfVBbDbQOaYE0nA8ilwFvCmiFynqgf9F4pIHPAmkAh8EmB9Y4wxQXjHV1mYvpAnbnoi0/gq/u1VALsNZI5JkQQs44DbgO7AUhFJJWOY/qbAf4AGwCrgxSiW0RhjSjRPqoflvZfz8ckf88r5r3A01rmrnrW9ij0TyBzLIhk4bp+IXAB8DrQEUrIkEeA3oGeonkTGGGMyWzR4EUMvGcrMFhnjc1bYV4HHP33ceXghJqCjeAAAIABJREFUdgvImEhqWFDVv0TkdKAbcBGQ7C5aB0wFvlBVDba+McYYh/cW0PL9yxl01SDWV1vvW9bs72YM+mgQNXfWBOwWkDEQYcAC4AYkX7iTMcaYCHmH2J/aaCqjrx/NgbgDvmWXzb+MPlP7EHc0DrCeQMZ4RTLSbYEQketE5AcR2Skie0RkgYjcLSK5Kmtu8yuo9URkvIhoiGl5oPWMMcXXsoHLeKbjMwzrOcwXrJQ5VIaUT1J4YPIDxB2NIyYhhuYTmtNmbRsLVowhFzUsItIIuANoA1THuQ3Uz112FnAy8JGq7shF3mOBPsAB4DvgMNAJeAnoJCJXqmrYY7zkNr+CXs/1I06D5az+Cff9GmOKNk+qh9nDZ/N458dZWTtj9Id6/9bjiQ+f4Lgtx1nDWmOCiChgEZFbgbFAnDtLgWp+SaoDL+P8UL8VYd6X4/zYbwLOVdU/3fk1gOlAD+Ae4IX8zK+g1/PzhqqOD+e9GWOKH0+qh1eefYVRXUext0xGv4TzFp9H30l9bYh9Y3IQydOa2wGv4tQePIzzvCDJkuwbYBdOo9xIPeb+fcT7Yw+gqh7gLvfloxHcGsptfgW9njGmhPKkepjbYC5T46Zy+4e3M/iywb5gpdTRUtw7+V4GTBxAwqEEa1hrTA4iqWHph1Oj0kVV5wKIZI5XVPWwiKwAmkdSCBGpi/NwxUPAx1mXq+pMEfkbqIMzeN2c/MivoNczxpRc3oa1axLW8ORtT5JWI823rNb2WgyYOIDmfzunSmtYa0zOIglY2gDzvcFKCOuJMGAh42GJS1R1f5A0P+P84J9Kzj/4uc2voNfzd56InIwzUrAHmA38T1XTg+RnjCnCVqes5usmXzPm4jGZegG1X9KevpP6kngwEbDxVYwJVyQBS0VgQxjp4iLMF+A49++6EGn+ypI2P/Ir6PX83Rhg3lIRuUZVF4XI1xhTRHjHVtm+aTvPXfIc006e5lsWdziOu7+5m64LuyLu3XS7DWRM+CIJLDYTXrDQFPg7wnIkun9DjZC7x/1bPh/zK+j1wBkdeCFOr6J1QAXgNOAp4BRgmoicpqqR7lNjTAHy3gJaUWEFT/Z+kg1VM67v6m+pz6CPB9Fwc0OIBdKtJ5AxkYokYPkRuEJEWqnqgkAJROR8oAnwRoTl8DaGidYoubnNr6DXQ1WfzzJrL/C1iPwPmInT5uUxnB5G2Tcs0hvoDVC/fv1IN2+MiZJVKav48OQPeb3z6xwuddg3/6JfL+K+yfdR9nBZYhJiaPpaUwtSjMmFSHqsPIfzw/ypiFyQtbeLiJyL87TmI0T+8MPd7t/EEGm8y3aHSJPX/Ap6vaBU9RAw3H15cYh0r6lqK1VtVb169XCyNsZEkSfVw6Tmk7j/3PsZd9E4X7BS9mBZHv/kcR754hHKHilLfHK8BSvG5EEkDz+cJyL9gFHAFJzuywp0F5FLcMZjEeDBXLS5WOv+TQ6Rpl6WtPmRX0GvlxPvKLd1IljHGFNAPKkeXh/1OqO6jWJXwi7f/MYbGzPgkwHU21rPGtUaEyWRPvzwWRFZAjwBtMIJUCq5ixcBA1R1Ui7K8av7t4WIlA3S06Z1lrT5kV9Br5eTqu7fPSFTGWMKjLdh7Y5/dvBilxeZ0mOKb5mocM2P19Brei9KHy1tjWqNiaKIBzFT1W9U9UwgCTgDp7tzXVU9JZfBCqq6HvgFp4fRlVmXi0h7oC7OKLI5davOdX4FvV4YrnL//hzBOsaYfOJtWPvrkV+57c7bmHJqRrCStDOJ0W+Ppve03pQ+WtpuARkTZbkedVVVt6rqAlWdp6obo1AWb3uNke7zigAQkSRgnPtyhP+4JCIyXESWi8hwsos4v4JeT0RaisilIhLrn5GIlBKRB4H73FnPBXh/xpgCtrL/Ssa3Gs+9t97LxioZp72Oizryxstv0HJtSyBjbBULVoyJnogffphfVHWiiLyMM4z9IhGZRsbDAysAn+M8RNBfLZxu1LWilF9Br9cA+AzYJiIrcca5KQ+cBNQG0nGG+p8aZLcZYwqAJ9XDrBGzeKLjEyypv8Q3v9yBctw/+X46/9HZxlYxJp8FDVhEJNBAZmFT1XdysU4fEZkN3A20xxmxYDlO76OXIx31Nbf5FeB6v+M8DPEMnAa7p+I0ZN6A8/DIsaq6MJL3bIyJrn8m/MPIV0byardXM41Ye9K6k3j8s8f/v707j4+quv8//vokBMImsskim2yCgoqAiiKiuFfFqlhBf8KvKrXYfr8++tW23+rXXzdr3dpHF8XWau23RmlFRMEVsSKIoAHKIiCyhACSkZ2wJIHk/P64d5LJMDNkkpnJZPJ+Ph73cZl7zj333HtJ5pNzzj2Xzns7a24VkRQw5yJPHWJmFdRhXhTnXPbxc0kiDRs2zOXnR5wiR0TiEBxYu3nfZh4b+xjLTqkaK59dns2kDycxfsF4sl225laRtGdmS5xzw+q7HnUVq0vof0ncRG4iIg1CIC/A2slrmT1gNk9PeJpDzQ5Vpp0SOIUfz/wx/bf3B/TSQpFUihqwOOcmpbAeIiL1KtiqsnX3Vp785pMs7re4Mi2rIotbPr6FiR9OpGl5U0AvLRRJtVhjWGYAc51zT/mfewAHnHO7U1U5EZFUCLaqvNf3PX5/y+850Lxq6qPuO7vz45k/5rStp1Vu08BakdSL1SV0PbA35PMm4AXgjmRWSEQk1T795ac8du1jLBi4oHKbOePGRTdyxwd3kHskVwNrRepZrIDlKNAs5LNR9ZI/EZEGLZAXYMMDG3it/WtMvX4qB3OrXrbeZU8XfjTzR5y5+UwADawVSQOxApbtwLlm1tI5dzBGPhGRBiWQF+CDH37A45c+zrLe1d+Wcd1n13H3nLtpXtYc0MBakXQRK2B5C/gO8LWZBfxtN5nZ6BqU65xzfepaORGRRArkBVj34Dpe7vIyz//f5ynNKa1M67q7K/e9cR9DCoYAalURSTexApb/BjoC1+HNyOqAVv5yPHocWkTSSiAvwFsPvMWjlz/KFyd/Ubk9qyKLcZ+MY9KHk7yxKqZxKiLpKNZjzXvxWlSa4E0TXwBMB+5PTdVEROom+Khy8bZiXrzoRV66/SXKs8sr0/sU9eH+1+/n1O2nAnpUWSSdHfddQs65o0ChmYH3WPPmpNdKRKSOgm9WXnrSUn77nd9S2LGwMi3naA63z7udWz6+hSYV3q9BPaoskt5q/PJD51yt3+wsIpIqwVaVop1FTL1iKnPOnFMtffDmwdw36z567OxRuU0Da0XSX63e1mxmbYDheGNcNjvnFia0ViIitRDIC7Bm8hreGPgGz97ybLUJ4FqUtuDO9+9kbP5Ysvy/vzSwVqThiCtg8QOV3wK3huz7N2Chnz4FeBC4wTm3KIH1FBE5rneefIfHxj/G6u6rq22/eNXFTHl3Ch2KO2gCOJEGqsYBi5m1BD4EzgS+BvKBq8OyvQP8EW+WXAUsIpJ0gbwAK//fSv7U90/MuHYGFVkVlWldd3fl3jfvZfiG4YBaVEQasnhaWO7DC1ZeBO52zh0ys4rQDM65jWa2DrgkgXUUEYmo6MUinvnNMzw19il2nrCzcnvO0RzGLxjPhAUTaHbUm7Bb41REGrZ4ApZxwFfAXc650hj5CoHT61QrEZEogoNqV5es5g9X/YHlY5dXSz9749nc++a9dN/VHVCrikimiCdg6Q28e5xgBWAn0L72VRIRiSyQF+Cz//iM5857jjeGvVGt+6ftgbZMeXcKY1aOwTBNACeSYeIJWI4AuTXI1w04cNxcIiI1FMgL8OWDXzKjwwyeu/M59rfYX5mWXZ7NDYtv4PZ5t9Oq1JuIWxPAiWSeeAKWL4AhZpbrnCuJlMHM2uKNc1maiMqJiATyAvzz5//kd1f+jg2dN1RLG7ZhGN97+3v03NmzcpsmgBPJTPEELNOBX/vLvVHy/ArvXUP/rGO9RKQRC45T2bxvM89e+iwfTPigWnrnPZ255917uGDtBV73jx5VFsl48QQsfwQmAt83s2HADH97LzP7Lt6g3IuAlcBzCa2liDQagbwA+d/P58WhL/Lqea9ypMmRyrRmR5px6/xbuXnhzZVP/2hQrUjjEM/U/IfM7HLgFeB8INhBfJG/GLAEuN45V5boiopIZgvkBVj34DqmnzSdF+56odo4FYDRq0Zz95y76bSvKjDRo8oijUdcM90657YB55vZlXiTxvXGa4zdArwNzHTOuYTXUkQyWtGLRTz/+PM8c80zbOmwpVragK0DmPLeFAYXDq7cplYVkcanVu8Scs69gzerrYhIrQTHqaw4soKpl09l+Q3V51PptLcTk9+fzOjPR3vv/tE4FZFGrVYBi4hIXQTyAsz94VyeG/EcHwyuPqC2ZUlLbvvoNm749AaaHm0KqEVFRBSwiEgKBfICLH54MX/p8xfevPPNahO/ZZdnc13+dUycN5E2h9pUbtc4FRGBGAGLmZXXoVznnFMwJNLIBbt9SgtLOdD1AHmD8phxwwzKcqqPyx+5ZiST359cOZ0+qFVFRKqLFVRYHcqty74ikgECeQG+mPwFB48eZPqF0/nH+f/gYO7BanmGbBrCnXPv5LStp3kbNE5FRKKIGrA457LCt5nZk8B3gGeAvwMFgANOAW4D7gb+5Jy7LxmVFZH0F2xV2b9tP7OGzuKlC19iT6s91fL0/6o/d71/F0M3DvUmfkMtKiISW427bczsDuA/gEucc/PDkpcDy83sdeBfZvaFc+7ZBNZTRBqAQF6AFVNW8PrA15l20zR2td5VLb3Hjh58+4NvM2rNqMpABTRORUSOL55xJlOA+RGClUrOuQVmNh/4LqCARaQRqGxR+Wo/s4bN4uW7XmZ3693V8nTa24mJH07k8hWXk12RXbldrSoiUlPxBCynAq/XIN924JzaVUdEGpJAXoDlU5Yz8/SZTBs37Ziunw77OzB+wXiuWXINTcubQg40aduEo7uPapyKiMQlnoClFBhSg3xD/LwikoGCLSp7t+9l1rBZTJscOVCZMH8C31j2jcq5VNTtIyJ1EU/A8hFwnZn9AngofAp+MzPgZ8AAatYSIyINROXjyZtL2ddiHzOHz2TGt2Yc876fjvs6MmHBBK5eerXXooK6fUQkMeIJWP4HuBz4CfAtM5sGbPLTegG3AH2Bw8BDCayjiNSj4OPJRU2KeOWKV5g9dDYlTUuq5Tlp30lMmD+Bq5Zd5QUq2YDp8WQRSZx43ta8ysyuBvLwApMHwrIY3viV25xzKxNXRRFJtdAJ3zaftJlpl01jzhlzKM+uPp9klz1duOXjW7hy2ZVqURGRpIr3bc3zzKwvcBNwEdDNT9oGzAOmO+cOJ7aKIpJKwRaVVe1W8fLNL7Ng4IJj8vQu6s2EBRMYvXq099SPWlREJMninj7fOVcCvOgvIpIhAnkB1j24jjkt5/Dq+FdZ3X31MXnOKDiDCQsmcM76czThm4iklN73I9JIhXb7HOxykDf6vsFr33yNHW12HJP3/LXnM/7j8QzaMsjbYIDTkz8ikjoKWEQaoWC3T0HzAl69+lXeO/O9YwbS5hzNYczKMdy88GZO2XGKun1EpF4pYBFpRAJ5AdY/sJ4FOQt47frXWNx/8TF52h5oy9jPxnJt/rW0O9gOULePiNQ/BSwiGSy026e4azGz+8xm1vWz2N52+zF5exf1ZtyicVyy6pLKyd5A3T4ikh4UsIhkqEBegLWT17K8w3Jev+F15g+cz5EmR6rlMWeM+GIE4xaN48yCM6u9kFCtKiKSThSwiGSYQF6AFT9dwey2s5k1cRabOm06Jk/rw625ctmVjM0fy8m7T/Y25kCTE/SeHxFJTwpYRBq4YLfP4cLDrBq8ijf7vcm8b82jNOfYV3oN3DqQ6z67jos/v5hmR5tVble3j4ikOwUsIg1M6LiU7HbZbLftvHPaO7xz/TsRx6bkluUyZuUYxn42ln5F/aqlqdtHRBoKBSwiDUjwceSSshIWnLaAt4e8zZI+S3DmjsnbO9Cba5Zcw2XLL6NVaStvo7p9RKSBUsAi0gAE8gJ8+eCXLLbFzL10Lh+d9hEHcw8ek6/V4VaMWTmGq5ZdRf/t/asNolW3j4g0ZApYRNJQsNunpLCE9QPWM6fXHD648QN2td51TF5zxtCNQ7lq2VWMXDuy2iPJoG4fEckMClhE0kTl2JTNpWxtv5W5g+Yy99q5bOmwJWL+rru7csW/r+CK5VfQaV9IMKJuHxHJQApYROpJ6ODZrHZZbGy2kXn95vHR1R+xsdPGiPu0PdCW0Z+P5tKVlzJw60CvyycHmrRXgCIimU0Bi0gKhbaiOHOs77Sejy7+iHmnzYvaktK8tDkj147k0hWXMnTTULIrsivTNC5FRBoLBSwiSRT+CHLZgTI+7/Q5Cy9byPyB8/mq3VcR98s5msPw9cMZs3IM5687n9wjudXSNS5FRBobBSwiCRbaioLB/tz9fDroUxb1W8Sn/T6luHlxxP1yy3I598tzGbV6FOd9eR4tylpUJWpciog0cgpYROoovBWlvLicgjYFfHLBJyzqv4hV3VdRkVURcd+WJS0ZsW4Eo1aPYviG4dVbUgxw6vYREQEFLCK1Et6KsrvFbpYOWsqS3ktY0nsJO9rsiLpvx30dGbFuBCPWjeDsjWfTtNx/DFmDZ0VEolLAIlID4a0ohw4fYnmX5Sy5fAn5vfPZ2DnyUz3gzZMycOtARqwbwXnrzqNPoE/VhG7+Sq0oIiKxKWARiSA8QDlQeoCVnVay4uIVrOy5kjUnr+FIkyNR929Z0pKhG4cy4osRnLv+XNoebOslqBVFRKRWFLCI+EK7efa23MvK7itZcfkKVvRcwfrO66OOQwHILs/m9K2nM3TDUIZtHMapX51a9fixWlFEROpMAYs0KuEtJ4ZxaN8hNvXfxOoTV7N66GrWXreWre23Hresnl/3ZNjGYQzdMJSzNp9F87LmXkIONGmrVhQRkURKu4DFzCYA3wXOALKBtcBfganOueh/4ia4vIayn8QWaR6UwhMKWXfGOtaevJY1J69hQ+cNHM0+GrMcc0afoj6csfkMzig8g8GbB9PuYLuQDN5KrSgiIslhzh37Wvr6YmZPAVOAEmAucAQYA7QGXgPGOefKk11eQ9kv3LBhw1x+fv7xsmWc0KCkWY9mtL+6Pbve2sXOwE42dN7A+k7r2dB5Axs6baDgpIKYY0+CmpQ34dRtp3Lm5jMZXDiYQVsG0aqkVVUGzYsiIg2EmS1xzg2r73rUVdq0sJjZjXhf2kXAKOfcl/72TsC/gG8C3wN+l8zyGsp+jU20oKRkcwn7Wu6jsH0hhUMKKexQSOG+QjbdsImv23xd4/K77erGgG0DGLh1IAO2DaBvoG/1tx5rsKyISL1KmxYWM8sHhgITnXP/G5Z2EfAh3pf6yTXpIqlteQ1lv0gaegtLpPElR3cfJatdFnvK9/BVy68oOrGIohOLKOxQyJb2W9jSYQv7W+yP6zgd93Wkb1FfBmwb4C1fDeCEwyccm1ETt4lIBsiUFpa0CFjMrBuwBSgDTnTOHY6QZytwMnCBc25hMsprKPtFky4BS7TAI7RlJDRt/4H97O22l6/ta3bl7mJX612Vgcn2ttspOrGIkqYlcdcj52gOvXb0ok9RH/oE+tCnqA+9A71pc7hNlB3UzSMimSdTApZ06RIa4q8/j/Sl7fsM74t7CBDzi7sO5TWU/ZIiWrdLTQOPI7uPUN6xnANlB9jfZD/7u+2nuHkx+5vvp7ifv95czL7h+9h18S52t97NztY7axWMhMoty6X7zu702NmD7ru8dc8dPemxswdNKsL+i4d07YSfkwIUEZH0lS4Byyn+enOMPIVheZNRXkPZL+ECeQGeefIZ8gfnU3FmBeVZ5VQUVVA+rJzyc8qpyPK2lWeVU5ZdRmlZKSVXl1CSU8LhpocpySmhNKc05lwlddGitAWd93Sm897OdNnbha67u9JzZ0+67+xOh+IOZLms6Dura0dEpMFLl4Al+PjFwRh5Dvjr1kksr6Hsl3AbH9jIqgGrmD1sdjIPE1HO0Rw6FHegXXE7b32gHZ32daoWoLQ+3LpqOvtIQoKS0NYftZyIiGSGdAlYgt9EiRpQU9vyGsp+VQWYTQYmA/To0aO2xXhdO/2za71/UM7RHJqXNaf14da0PtyaNofbVP77hMMnVK7bHWhXGaC0KmkVOxiBY8aXKCgREWlc0iVgKfbXrWLkCaYVx8hT1/Iayn6VnHN/Bv4M3qDbGOXE1KxHMy5ccyFd93QluyKb7Ipssiqyqv7tqv7dpLwJuUdyyS3LpfmR5uSW5Xqfj+RWTUdfGyFBicaXiIhIqHQJWAr8dc8YebqH5U1GeQ1lv4Tr/XBvjkw+wulbT697YTECj1gDeRWUiIhINOkSsCzz16ebWfMoT8wMD8ubjPIayn4JFwwU6vKUkAIPERFJlrQIWJxzW8xsKXA2MA6INIFaN7wJ1D5JVnkNZb9k6XRrJwUaIiKSlmI8C5pyj/jrR82sb3CjmZ0EPO1//HXYLLGPmNlaM3uEY8VdXgPbT0REpNFIixYWAOfcdDObivfG4pVm9j5VLwE8AZgJ/DFsty7Aqf46EeU1mP1EREQak7QJWACcc1PMbAFwD3ARkA2sBZ4HpsbbylDb8hrKfiIiIo1FWrxLSBIjXd4lJCIi6SNT3iWUTmNYRERERCJSwCIiIiJpT11CGcTMdhD7RYo11QHYmYByJPV07xou3buGK93vXU/nXMf6rkRdKWCRY5hZfib0dzZGuncNl+5dw6V7lxrqEhIREZG0p4BFRERE0p4CFonkz/VdAak13buGS/eu4dK9SwGNYREREZG0pxYWERERSXsKWDKcmU0ws/lmts/MDphZvpndY2a1uveJLk+iS8S1NrMcMxtjZk+a2SIz225mZWa2zcymm9noJJ5Co5XMnxMz+5WZOX+5LxH1lSpJ+J3Z3Mx+aGafmdleMztkZpvM7BUzuyDR9c9k6hLKYGb2FDAFKAHmUvVSxdbAa8A451x5fZUn0SXqWpvZpcAc/2MRsAQ4CJwGDPK3/8I591BCT6ARS+bPiZkNBz7B+2PTgPudc08kot6SlN+ZpwDvAX2Br4FFQCnQCzgL+Llz7pcJPIXM5pzTkoELcCPggO1Av5DtnYDVftp/1ld5WlJzrYFLgOnAhRHSvgUc9cu7uL7POxOWZP6cAM2Az4FteF+eDrivvs85U5Yk/M5sCaz39/s5kBOW3h7oX9/n3ZCWeq+AliTdWMj3f1Buj5B2UcgPZlZ9lKclPa418Be/vOfq+7wzYUnmvQMe9fe/FnhBAUt63zvgEX+fv9X3uWXKonEHGcjMugFDgTLglfB059w8vL/SOgPnpbo8ia4ervUyf90tAWU1asm8d2Z2LvBfwEvOuVl1r62ESsLvzKbAXf7HXyeupo2bApbMNMRff+6cOxwlz2dheVNZnkSX6mvdz19vT0BZjV1S7p2Z5QJ/A3YD/1n76kkMib53Q/G6fLY459aY2fn+YOk/mdnPzGxEXSvcGDWp7wpIUpzir2O9CLEwLG8qy5PoUnatzawzMMn/+GpdyhIgeffuYeBU4BbnXDq/YK8hS/S9G+yvvzSzF4CJYekPmdmrwP+JESBJGLWwZKZW/vpgjDwH/HXreihPokvJtTazJsCLQBtgrroZEiLh987MzgfuBWY65/5Rh7pJbIm+d+389SjgduAJvCeF2gJj8bqXbgSeirumjZgClsxk/jpRz6wnujyJLlXX+hm8xzW3ALcl+ViNRULvnZk1B/4K7Md71FaSJ9E/d8Hv1iZ4A9rvd85tcM7tdc69AVzvH2uimfVO0DEzngKWzFTsr1vFyBNMK46RJ1nlSXRJv9Zm9jvgDrx5WcY454pqU44cI9H37ldAf+AHzjmNMUquZP3OBHg2PNE5l483J1IWMLoG5Qkaw5KpCvx1zxh5uoflTWV5El2Bv07KtTazJ4H/AHbgBStfxluGRFXgrxN1774JVOD9FR4+BmKAv/6umV0DrHfO3VnDesqxCvx1on9nAmyKkmcTMAzvySOpAQUsmSn4qOrpZtY8yqCu4WF5U1meRJe0a21mjwE/AHYBlznnVte+mhJBMu5dFt4cINH09pcTa1ieRJboe7c05N/t8f5ACNfBXx+IkCYRqEsoAznntuD9wDQFxoWnm9lFePNuFOFN853S8iS6ZF1rM/s1cD+wBy9YWZ6QCkulJPzc9XLOWaQF7zFn8KbmN+fcWYk7k8YnCfduG7DY/zgmQnltgbP9j/m1q3Xjo4Alcz3irx81s77BjWZ2EvC0//HXzrmKkLRHzGytmT3CseIuT2otoffOzH4B/AjYixesqBUseRL9cyepk+h797C/fsjMzgrZJxeYiveE3hL0R16NqUsoQznnppvZVOC7wEoze5+qF3mdAMwE/hi2Wxe8+R66JKg8qYVE3jszuw540P+4Hvi+mRHBWuecZuSso0T/3EnqJOF35iwzewK4D1hsZovxumPPAbriPdo83jmnpy9rSAFLBnPOTTGzBcA9eP3g2cBa4HlgarytIYkuT6JL4LVuF/LvYf4SyTw0hXhC6Oek4UrC78z7zWwh8H28GXJb4E1A9xu81ppIY1skClNwJyIiIulOY1hEREQk7SlgERERkbSngEVERETSngIWERERSXsKWERERCTtKWARERGRtKeARURERNKeAhaRBDEzZ2aa2CiEmf3Uvy4/re+6JFJDOi8z62lmh81sWgqO1cLMtpvZZxZlSmWR2lLAIiISwsx6+cFIQX3XJUGexJvV/H+SfSDn3CG8d+gMA25P9vGkcVHAIiISvz8CA0nz92eZ2QXAjcDLzrkvU3TYP+O91fhXZtY0RceURkABi4hInJxzO51za51zO+u7Lsdxr7/+S6oO6JwrA17Ee8HfuFQdVzKfAhaRJDCzyWa2zMwOmdmSyXrBAAAIQUlEQVQuM5thZoNi5G9pZj/0+/73+2MOPvfHSrSKkL+1f4yZZrbeP84B/5gPmFnzKMepHGdjZpPMLN/MDppZkZk9Z2Yd/bRcM/uZma0zsxIzKzSzh80sJ1HXyD/ON8zsbTPbaWZlZrbFzP5mZgNj7JPjn/u/zGy3mZX69ZttZreG5e1pZv/t593i593tf54QoewXgE3+x57B6xXeRXS8MSzxnpeZFfjl9TKzy8xsrpnt8+/rIv+t23Exs67A9f75zI+QPsk/5gtm1tbMfu9fx8NmtsbM7g7Je7qZ/dPMAn76p2Z2RYzD/81fT4m33iJROee0aNGSgAVw/vJboBz4EHgZ+MLffhAYGWG/bsDnfp6vgXeB14Gv/G3LgbZh+4z00wLAR8A0YA6w39++GMiNUcdHgVLgPeBVYHvIsVoBHwO7gdeAt/y6O+DPcV6Tn/r7/TRC2iN+Wjne26JfAlb52w4D34iwT1tgoZ+nBJjrX+N5wB6gICz/g37e9f71mQYsAI76238Xlv9OYLqfdgB4IWR5IonnVeCn/wKo8O/fy8BSf3sFcFOc1/4uf99no6RP8tNn4r2R+Cvgn/41PeKn/QgYART75zANWOKnHQVGxTh+kV/vjvX9s6klM5Z6r4AWLZmyhAQDB0N/kQMW8iVWSEgg4acFv4D/ALQISWsO/N1PeyHsWN2AS4CssO0nAm8Hv2xi1LEIGBiyva3/peWAlXh/kbcJST/L/xKrAHrGcU0ifrEDV4cEBaPC0u730/YCJ4Wlve6nLQS6hqXlAleFbRsOnB6hXv38e+GAc8PSevnbC1J4XgV+WilwZVhaMOj6Ms7/j3n+ft+Okj4p5P/DK2H/L6/ytxf7dfuvsH0f99Pnxjj+a36em+vrZ1JLZi31XgEtWjJlCfnl/0SEtGxgg59+a8j24BfDJ+HBh5/eEq8V5QhhrSwx6tHPL/OzGHWcHCHtXqpaBgZGSA8GC7fHcU2ifbHP9bc/HGW/RX76AyHbzgr5Eq3zX+1UtUA8Hra9LgFL3Oflbw8GLJH+7zT1gxwH9Ijj/IKtdiOipAcDlv1Ahwjp//bTF0ZIa0dVgJUTpfyH/TyP1PVeadHinNMYFpEkeDF8g3OuHK+JH2B0SNLV/vpV51xFhP0OAvl4j6UOD00zz0gz+4mZPW1mf/XHYDzoZ+kfo47vRNi23l9vds6tiZAefMqka4xyj8vMmgAX+B9fiJLtr/56dMi2K/316865HXEcL9fMxprZL83sT/6YjReAm/wssa5TjdXhvELNDt/gvEGsG/2P8Vz7k/z1ruPky3eRBw8H/z8c83/FObfbL7cp0D5Kubv9dafjHF+kRprUdwVEMtCmKNsL/HW3kG29/fXjZvb4ccrtGPyHmXUCZgDnx8h/Qoy0rRG2HYiRFpqeG6PcmmgPNMPrXtocJc8Gf31yyLae/nptTQ9kZiPwxmV0i5Et1nWKR23PK1RhlO37/XU8175N2L7RHO9+x0pvH6NOweOeeJzji9SIAhaR1HMh/8721/OoCmiiCf0S/AtesPIxXvfEcmCvc+6IP/dFacwKRGjNCRErLRFCZ0B1NchTu4OYtcAbR9EJeA6YitdqUOycqzCzy/EGOCdqRtZEnFcir/1evCD3BLwxS7U9Zm3rFAwE99Ryf5FqFLCIJF4vvAAi0nbwnsYI2uKvX3HOPVWTws2sJV5XUjlwjXNub1iWvjWuaf3YiRdQNcO7JpEmNDvFX28L2RYM2E6t4XFG4QUrS5xzd0ZIT/R1qu15JcvXeAFLtC6bZAse9+t6Or5kGI1hEUm8W8M3mFk28C3/44chSW/763gm2GqD97NbHCFYiXj8dOKcO4rXMgTRp2+f5K8/DNn2rr8ea2YdanCodv56S5T0Y+Zh8ZX567j+oKvDeSXLUn99WgqOFUnwuEtj5hKpIQUsIok3xcxGBj+YmQE/w/uLfhvevCdBM/HmtbjIzJ4xs3aEMbPeZnZPyKYAXjP7ieGTn5nZlcAPEnYmyfMbf32vedPHVzKzH+DN/bGPkBlanXPLgFlAa+A1M+sStl+umV0Vsik41uUSMxsQki/LzB6iaoBsuB14QUsnM2ub7PNKon/56xEpOFYk5+F1jX1YT8eXDKMuIZHEexaYZ2Yf4U3IdjZeN8ZhvEeaDwcz+mMprsebnO07wAQzW4430LED0APvKZYA8JS/T7mZPQw8AeSZ2ffwxr/0Ac4BfgX8JAXnWWvOuTfN7FG8ick+MrP5eF1lg4FBeJPC3eacC4TtOgnvqZWRwEYzW4AXYHQFzsQLBnr5x1hqZrOAa4F/m9m//PTheNf1MeCHEep2xMzeBL4JLDOzj/Hu3U7n3I+TdF7J8Bbe4/BjzMycc9HG1SScmQ3G645bGM8TXSKxqIVFJPF+AHwfr0vierzHS2fiTVA2Lzyzc24rXqDxPWAZcDreC+sG4c058gRwQ9g+T+I9lrvIz38N3piW25xzDyTlrBLM//K/Fm8G2sF459MWb7K8oc65SI/47gYuxLu+S/Gu2w14Y0PmA+EBxU3+tvV4jxKPwZufZCRV3XGR3IU3UDcbuBm4A7glWeeVDH5Q9CpeADcqFccMMdFfP53i40oGsxQG3SIikkJmdh7epIR/d85FG1eT6GM2xRsgXQGc4s8jI1JnamEREclQzrlFeO9GGm9m/VJ02MlAZ+AnClYkkdTCIiKSwcysJ7AGeMM5V6NurTocqwXe5HhbgXNSOW5GMp8CFhEREUl76hISERGRtKeARURERNKeAhYRERFJewpYREREJO0pYBEREZG0p4BFRERE0p4CFhEREUl7/x9+Jw9skuLAwwAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 504x1080 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"N=5\n", | |
"dx=L/N\n", | |
"A=np.diag(np.ones(N)*6)\\\n", | |
" +np.diag(np.ones(N-1)*-4,-1)\\\n", | |
" +np.diag(np.ones(N-1)*-4,1)\\\n", | |
" +np.diag(np.ones(N-2),-2)\\\n", | |
" +np.diag(np.ones(N-2),2)\n", | |
"A[0,0] += 1\n", | |
"A[N-2,N-1] += 2\n", | |
"A[N-1,N-2] += 2\n", | |
"A[N-2,N-2] -= 1\n", | |
"A[N-1,N-1] -= 5\n", | |
"b=np.zeros(N)\n", | |
"b[N-2] += -M*dx**2/E/I\n", | |
"b[N-1] += M*dx**2/E/I\n", | |
"w = np.linalg.solve(A,b)\n", | |
"xnum = np.linspace(0, L, N+1)\n", | |
"\n", | |
"print('deflection at end of guitar:',round(w[-1]*1000,4),'mm\\n')\n", | |
"plt.figure(figsize=(7,15))\n", | |
"plt.subplot(3,1,1)\n", | |
"plt.plot(xnum,np.block([0,w]),'om',label='numerical') \n", | |
"plt.plot(x,y(x),'g',label='analytical',lw=3)\n", | |
"plt.xlabel('beam location (m)')\n", | |
"plt.ylabel('deflection (m)')\n", | |
"plt.title('Finite Approximation (step={}mm)'.format(dx*1000))\n", | |
"plt.legend();\n", | |
"\n", | |
"\n", | |
"N=10\n", | |
"dx=L/N\n", | |
"A=np.diag(np.ones(N)*6)\\\n", | |
" +np.diag(np.ones(N-1)*-4,-1)\\\n", | |
" +np.diag(np.ones(N-1)*-4,1)\\\n", | |
" +np.diag(np.ones(N-2),-2)\\\n", | |
" +np.diag(np.ones(N-2),2)\n", | |
"A[0,0] += 1\n", | |
"A[N-2,N-1] += 2\n", | |
"A[N-1,N-2] += 2\n", | |
"A[N-2,N-2] -= 1\n", | |
"A[N-1,N-1] -= 5\n", | |
"b=np.zeros(N)\n", | |
"b[N-2] += -M*dx**2/E/I\n", | |
"b[N-1] += M*dx**2/E/I\n", | |
"w = np.linalg.solve(A,b)\n", | |
"xnum = np.linspace(0, L, N+1)\n", | |
"\n", | |
"plt.figure(figsize=(7,15))\n", | |
"plt.subplot(3,1,2)\n", | |
"plt.plot(xnum,np.block([0,w]),'om',label='numerical') \n", | |
"plt.plot(x,y(x),'g',label='analytical',lw=3)\n", | |
"plt.xlabel('beam location (m)')\n", | |
"plt.ylabel('deflection (m)')\n", | |
"plt.title('Finite Approximation (step={}mm)'.format(dx*1000))\n", | |
"plt.legend();\n", | |
"\n", | |
"\n", | |
"N=100\n", | |
"dx=L/N\n", | |
"A=np.diag(np.ones(N)*6)\\\n", | |
" +np.diag(np.ones(N-1)*-4,-1)\\\n", | |
" +np.diag(np.ones(N-1)*-4,1)\\\n", | |
" +np.diag(np.ones(N-2),-2)\\\n", | |
" +np.diag(np.ones(N-2),2)\n", | |
"A[0,0] += 1\n", | |
"A[N-2,N-1] += 2\n", | |
"A[N-1,N-2] += 2\n", | |
"A[N-2,N-2] -= 1\n", | |
"A[N-1,N-1] -= 5\n", | |
"b=np.zeros(N)\n", | |
"b[N-2] += -M*dx**2/E/I\n", | |
"b[N-1] += M*dx**2/E/I\n", | |
"w = np.linalg.solve(A,b)\n", | |
"xnum = np.linspace(0, L, N+1)\n", | |
"\n", | |
"plt.figure(figsize=(7,15))\n", | |
"plt.subplot(3,1,3)\n", | |
"plt.plot(xnum,np.block([0,w]),'om',label='numerical') \n", | |
"plt.plot(x,y(x),'g',label='analytical',lw=3)\n", | |
"plt.xlabel('beam location (m)')\n", | |
"plt.ylabel('deflection (m)')\n", | |
"plt.title('Finite Approximation (step={}mm)'.format(dx*1000))\n", | |
"plt.legend();\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"2. Here we will record the first three frequencies of the 6-string guitar. " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"a. Consider the G-string on the guitar, L=0.64 m, $\\mu=1.14~g/m,$ and T=71.81 N [1]. \n", | |
"\n", | |
"__Guitar string equation:__ $\\mu\\frac{\\partial^2 y}{\\partial t^2}=T\\frac{\\partial ^2 y}{\\partial x^2}$\n", | |
"\n", | |
"a. Calculate the first, second, and third natural frequencies using 6, 30, 45, and 60 nodes. Plot the mode shapes and determine the number of nodes needed to converge for the first three modes. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 127, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The First 3 Natural Frequencies of a 6 Element String (Hz):\n", | |
"1st Frequency: 194.4371 Hz\n", | |
"2nd Frequency: 379.1243 Hz\n", | |
"3rd Frequency: 544.8006 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 30 Element String (Hz):\n", | |
"1st Frequency: 195.9946 Hz\n", | |
"2nd Frequency: 391.4862 Hz\n", | |
"3rd Frequency: 585.9728 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 45 Element String (Hz):\n", | |
"1st Frequency: 196.0404 Hz\n", | |
"2nd Frequency: 391.8523 Hz\n", | |
"3rd Frequency: 587.2073 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 60 Element String (Hz):\n", | |
"1st Frequency: 196.0569 Hz\n", | |
"2nd Frequency: 391.9837 Hz\n", | |
"3rd Frequency: 587.6507 Hz\n" | |
] | |
} | |
], | |
"source": [ | |
"mu=1.14e-3\n", | |
"T=71.81\n", | |
"\n", | |
"N1=6\n", | |
"dx1=L/(N1+1)\n", | |
"N2=30\n", | |
"dx2=L/(N2+1)\n", | |
"N3=45\n", | |
"dx3=L/(N3+1)\n", | |
"N4=60\n", | |
"dx4=L/(N4+1)\n", | |
"\n", | |
"k1=T/dx1**2/mu\n", | |
"k2=T/dx2**2/mu\n", | |
"k3=T/dx3**2/mu\n", | |
"k4=T/dx4**2/mu\n", | |
"\n", | |
"A1=k1*(np.diag(np.ones(N1)*2)\\\n", | |
" -np.diag(np.ones(N1-1),-1)\\\n", | |
" -np.diag(np.ones(N1-1),1))\n", | |
"e1,v1 = linalg.eig(A1)\n", | |
"isort1 = np.argsort(e1.real)\n", | |
"e1 = e1[isort1]\n", | |
"v1 = v1[:,isort1]\n", | |
"\n", | |
"A2=k2*(np.diag(np.ones(N2)*2)\\\n", | |
" -np.diag(np.ones(N2-1),-1)\\\n", | |
" -np.diag(np.ones(N2-1),1))\n", | |
"e2,v2 = linalg.eig(A2)\n", | |
"isort2 = np.argsort(e2.real)\n", | |
"e2 = e2[isort2]\n", | |
"v2 = v2[:,isort2]\n", | |
"\n", | |
"A3=k3*(np.diag(np.ones(N3)*2)\\\n", | |
" -np.diag(np.ones(N3-1),-1)\\\n", | |
" -np.diag(np.ones(N3-1),1))\n", | |
"e3,v3 = linalg.eig(A3)\n", | |
"isort3 = np.argsort(e3.real)\n", | |
"e3 = e3[isort3]\n", | |
"v3 = v3[:,isort3]\n", | |
"\n", | |
"A4=k4*(np.diag(np.ones(N4)*2)\\\n", | |
" -np.diag(np.ones(N4-1),-1)\\\n", | |
" -np.diag(np.ones(N4-1),1))\n", | |
"e4,v4 = linalg.eig(A4)\n", | |
"isort4 = np.argsort(e4.real)\n", | |
"e4 = e4[isort4]\n", | |
"v4 = v4[:,isort4]\n", | |
"\n", | |
"\n", | |
"\n", | |
"first1 = e1.real[0]**0.5/2/np.pi\n", | |
"second1 = e1.real[1]**0.5/2/np.pi\n", | |
"third1 = e1.real[2]**0.5/2/np.pi\n", | |
"print('The First 3 Natural Frequencies of a 6 Element String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(first1), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(second1), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(third1), 'Hz')\n", | |
"\n", | |
"first2 = e2.real[0]**0.5/2/np.pi\n", | |
"second2 = e2.real[1]**0.5/2/np.pi\n", | |
"third2 = e2.real[2]**0.5/2/np.pi\n", | |
"print('\\nThe First 3 Natural Frequencies of a 30 Element String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(first2), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(second2), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(third2), 'Hz')\n", | |
"\n", | |
"first3 = e3.real[0]**0.5/2/np.pi\n", | |
"second3 = e3.real[1]**0.5/2/np.pi\n", | |
"third3 = e3.real[2]**0.5/2/np.pi\n", | |
"print('\\nThe First 3 Natural Frequencies of a 45 Element String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(first3), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(second3), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(third3), 'Hz')\n", | |
"\n", | |
"first4 = e4.real[0]**0.5/2/np.pi\n", | |
"second4 = e4.real[1]**0.5/2/np.pi\n", | |
"third4 = e4.real[2]**0.5/2/np.pi\n", | |
"print('\\nThe First 3 Natural Frequencies of a 60 Element String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(first4), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(second4), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(third4), 'Hz')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 128, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 864x504 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"x1 = np.linspace(0,L,N1)\n", | |
"x2 = np.linspace(0,L,N2)\n", | |
"x3 = np.linspace(0,L,N3)\n", | |
"x4 = np.linspace(0,L,N4)\n", | |
"\n", | |
"\n", | |
"plt.figure(figsize=(12,7))\n", | |
"plt.plot(x1,v1[:,0],'b-.',label='6 nodes 1',lw='2')\n", | |
"plt.plot(x1,v1[:,1],'b--',label='6 nodes 2',lw='2')\n", | |
"#plt.plot(x1,v1[:,2],'b:',label='6 nodes 3',lw='2')\n", | |
"\n", | |
"plt.plot(x2,v2[:,0],'g-.',label='30 nodes 1',lw='2')\n", | |
"plt.plot(x2,v2[:,1],'g-',label='30 nodes 2',lw='2')\n", | |
"#plt.plot(x2,v2[:,2],'g:',label='30 nodes 3',lw='2')\n", | |
"\n", | |
"plt.plot(x3,v3[:,0],'r-.',label='45 nodes 1',lw='2')\n", | |
"plt.plot(x3,v3[:,1],'r-',label='45 nodes 2',lw='2')\n", | |
"#plt.plot(x3,v3[:,2],'r:',label='45 nodes 3',lw='2')\n", | |
"\n", | |
"plt.plot(x4,v4[:,0],'k-.',label='60 nodes 1',lw='2')\n", | |
"plt.plot(x4,v4[:,1],'k-',label='60 nodes 2',lw='2')\n", | |
"#plt.plot(x4,v4[:,2],'r:',label='60 nodes 3',lw='2')\n", | |
"\n", | |
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 126, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"#need more than 6 nodes before modes begin to converge, but I would say the minimum required\n", | |
"# for convergence would be 45 nodes" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"b. Use the number of nodes necessary for convergence to calculate the first 3 modes of vibration for the other 5 strings on the guitar. Display the first three natural frequencies for all six strings. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 144, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"N=45\n", | |
"T=np.array([Te,Tb,Tg,Td,Ta,TE])\n", | |
"mu=np.array([.401,.708,1.14,2.333,4.466,6.79])\n", | |
"mu*=1e-3\n", | |
"dx=L/(N+1)\n", | |
" \n", | |
"ke = T[0]/dx**2/mu[0]\n", | |
"kb = T[1]/dx**2/mu[1]\n", | |
"kg = T[2]/dx**2/mu[2]\n", | |
"kd = T[3]/dx**2/mu[3]\n", | |
"ka = T[4]/dx**2/mu[4]\n", | |
"kE = T[5]/dx**2/mu[5]\n", | |
"\n", | |
"\n", | |
"E = ke*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e1,v1=linalg.eig(E)\n", | |
"isort1 = np.argsort(e1.real)\n", | |
"e1=e1[isort1]\n", | |
"v1=v1[:,isort1]\n", | |
"\n", | |
"B = kb*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e2,v2=linalg.eig(B)\n", | |
"isort2 = np.argsort(e2.real)\n", | |
"e2=e2[isort2]\n", | |
"v2=v2[:,isort2]\n", | |
"\n", | |
"G = kg*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e3,v3=linalg.eig(G)\n", | |
"isort3 = np.argsort(e3.real)\n", | |
"e3=e3[isort3]\n", | |
"v3=v3[:,isort3]\n", | |
"\n", | |
"D = kd*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e4,v4=linalg.eig(D)\n", | |
"isort4 = np.argsort(e4.real)\n", | |
"e4=e4[isort4]\n", | |
"v4=v4[:,isort4]\n", | |
"\n", | |
"A = ka*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e5,v5=linalg.eig(A)\n", | |
"isort5 = np.argsort(e5.real)\n", | |
"e5=e5[isort5]\n", | |
"v5=v5[:,isort5]\n", | |
"\n", | |
"E2 = kE*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e6,v6=linalg.eig(E2)\n", | |
"isort6 = np.argsort(e6.real)\n", | |
"e6=e6[isort6]\n", | |
"v6=v6[:,isort6]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 145, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The First 3 Natural Frequencies of a 45 Element E String (upper) (Hz):\n", | |
"1st Frequency: 329.6352 Hz\n", | |
"2nd Frequency: 658.8861 Hz\n", | |
"3rd Frequency: 987.3688 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 45 Element B String (Hz):\n", | |
"1st Frequency: 247.0541 Hz\n", | |
"2nd Frequency: 493.8202 Hz\n", | |
"3rd Frequency: 740.0105 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 45 Element G String (Hz):\n", | |
"1st Frequency: 196.0393 Hz\n", | |
"2nd Frequency: 391.8501 Hz\n", | |
"3rd Frequency: 587.2040 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 45 Element D String (Hz):\n", | |
"1st Frequency: 146.8861 Hz\n", | |
"2nd Frequency: 293.6010 Hz\n", | |
"3rd Frequency: 439.9735 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 45 Element A String (Hz):\n", | |
"1st Frequency: 110.0081 Hz\n", | |
"2nd Frequency: 219.8879 Hz\n", | |
"3rd Frequency: 329.5114 Hz\n", | |
"\n", | |
"The First 3 Natural Frequencies of a 45 Element E String (lower) (Hz):\n", | |
"1st Frequency: 82.4389 Hz\n", | |
"2nd Frequency: 164.7818 Hz\n", | |
"3rd Frequency: 246.9325 Hz\n" | |
] | |
} | |
], | |
"source": [ | |
"freqE=e1.real**0.5/2/np.pi\n", | |
"freqB=e2.real**0.5/2/np.pi\n", | |
"freqG=e3.real**0.5/2/np.pi\n", | |
"freqD=e4.real**0.5/2/np.pi\n", | |
"freqA=e5.real**0.5/2/np.pi\n", | |
"freqE2=e6.real**0.5/2/np.pi\n", | |
"\n", | |
"print('The First 3 Natural Frequencies of a 45 Element E String (upper) (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(freqE[0]), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(freqE[1]), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(freqE[2]), 'Hz')\n", | |
"\n", | |
"print('\\nThe First 3 Natural Frequencies of a 45 Element B String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(freqB[0]), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(freqB[1]), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(freqB[2]), 'Hz')\n", | |
"\n", | |
"print('\\nThe First 3 Natural Frequencies of a 45 Element G String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(freqG[0]), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(freqG[1]), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(freqG[2]), 'Hz')\n", | |
"\n", | |
"print('\\nThe First 3 Natural Frequencies of a 45 Element D String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(freqD[0]), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(freqD[1]), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(freqD[2]), 'Hz')\n", | |
"\n", | |
"print('\\nThe First 3 Natural Frequencies of a 45 Element A String (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(freqA[0]), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(freqA[1]), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(freqA[2]), 'Hz')\n", | |
"\n", | |
"print('\\nThe First 3 Natural Frequencies of a 45 Element E String (lower) (Hz):')\n", | |
"print('1st Frequency: {0:.4f}'.format(freqE2[0]), 'Hz')\n", | |
"print('2nd Frequency: {0:.4f}'.format(freqE2[1]), 'Hz')\n", | |
"print('3rd Frequency: {0:.4f}'.format(freqE2[2]), 'Hz')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"c. Create an audio signal that has the 18 frequencies (6 strings $\\times$ 3 modes) in an array and display it using the `from IPython.display import Audio` library. \n", | |
"\n", | |
"_Hint: you don't need to solve the differential equations here. You can use the calculated frequencies to add sine-waves together:_ $\\sin(f_12\\pi t)+\\sin(f_22\\pi t)+...$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 147, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
" <audio controls=\"controls\" >\n", | |
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\" type=\"audio/wav\" />\n", | |
" Your browser does not support the audio element.\n", | |
" </audio>\n", | |
" " | |
], | |
"text/plain": [ | |
"<IPython.lib.display.Audio object>" | |
] | |
}, | |
"execution_count": 147, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"rate=20000\n", | |
"t=np.arange(0,3,1/rate)\n", | |
"freq=np.array([freqE[0],freqE[1],freqE[2],freqB[0],freqB[1],freqB[2],freqG[0],freqG[1],freqG[2],\n", | |
" freqD[0],freqD[1],freqD[2],freqA[0],freqA[1],freqA[2],freqE2[0],freqE2[1],freqE2[2]])\n", | |
"\n", | |
"data = 0\n", | |
"for i in range(0,18):\n", | |
" data += np.sin(freq[i]*2*np.pi*t)\n", | |
"Audio(data=data,rate=rate)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 157, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"dt=.0001\n", | |
"x=np.linspace(0,len(data),len(data))*dt*1000\n", | |
"plt.plot(x,data)\n", | |
"plt.xlim((0,1000))\n", | |
"plt.xlabel('Time (ms)')\n", | |
"plt.ylabel('Signal');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.7.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |