From 27bf24404066af542b7b80785d21c146f5917490 Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Sat, 8 Jan 2022 19:47:29 -0300 Subject: [PATCH 1/9] First commit to test --- Project1/LIGOMainProject.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Project1/LIGOMainProject.ipynb b/Project1/LIGOMainProject.ipynb index 9c7cfdc..7ceaf32 100644 --- a/Project1/LIGOMainProject.ipynb +++ b/Project1/LIGOMainProject.ipynb @@ -1571,7 +1571,7 @@ "celltoolbar": "Hide code", "hide_code_all_hidden": false, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1585,7 +1585,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.9.7" } }, "nbformat": 4, From 967ace92e30c04055c053b295fc1d5abb80ce71f Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Thu, 20 Jan 2022 11:47:48 -0500 Subject: [PATCH 2/9] Edited recitation 1 --- Recitation1/Recitation_01_learner.ipynb | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/Recitation1/Recitation_01_learner.ipynb b/Recitation1/Recitation_01_learner.ipynb index 0a0ed26..e10211a 100644 --- a/Recitation1/Recitation_01_learner.ipynb +++ b/Recitation1/Recitation_01_learner.ipynb @@ -35,6 +35,8 @@ "\n", "There's also an optional section for the exponential distribution if you finish the above in time.\n", "\n", + "Note: had already worked on this but it didn't save!\n", + "\n", "" ] }, @@ -822,7 +824,7 @@ "metadata": { "celltoolbar": "Raw Cell Format", "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -836,7 +838,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, From ea692eeebd47e1a361188cab5c089590ab91b9a1 Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Tue, 25 Jan 2022 14:54:01 -0500 Subject: [PATCH 3/9] Worked on Recitation 2 --- Recitation2/Recitation_02.ipynb | 132 +++++++++++++++++++++++++++++--- 1 file changed, 120 insertions(+), 12 deletions(-) diff --git a/Recitation2/Recitation_02.ipynb b/Recitation2/Recitation_02.ipynb index a302600..7c79dc4 100644 --- a/Recitation2/Recitation_02.ipynb +++ b/Recitation2/Recitation_02.ipynb @@ -114,9 +114,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x) = 13.998440 +/- 2.817701\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(2)\n", "N_SAMPLES = 100000\n", @@ -177,9 +197,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g(x) = -20.437936 +/- 14.358070\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(2)\n", "N_SAMPLES = 100000\n", @@ -192,9 +232,9 @@ "# Insert Code Here #\n", "####################\n", "\n", - "g_samples = None # Placeholder Value - Fill in the correct line\n", - "g_val = None # Placeholder Value - Fill in the correct line\n", - "g_err = None # Placeholder Value - Fill in the correct line\n", + "g_samples = g(x_samples,y_samples) # Placeholder Value - Fill in the correct line\n", + "g_val = np.mean(g_samples) # Placeholder Value - Fill in the correct line\n", + "g_err = np.std(g_samples) # Placeholder Value - Fill in the correct line\n", "\n", "####################\n", "\n", @@ -220,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -269,9 +309,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from scipy.integrate import trapz\n", "\n", @@ -302,9 +365,54 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Model]]\n", + " Model(linear_model)\n", + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 15\n", + " # data points = 5\n", + " # variables = 2\n", + " chi-square = 2.18039779\n", + " reduced chi-square = 0.72679926\n", + " Akaike info crit = -0.14965290\n", + " Bayesian info crit = -0.93077707\n", + "[[Variables]]\n", + " k: 1.35619051 +/- 0.10412943 (7.68%) (init = 1)\n", + " b: 0.02921130 +/- 0.04566742 (156.33%) (init = 1)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(k, b) = 0.954\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from lmfit.models import Model\n", "\n", From cfc876bb1aca8f163e927723e4fc9ab6f62391b1 Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Tue, 25 Jan 2022 15:43:15 -0500 Subject: [PATCH 4/9] Worked on Recitation 3 --- Recitation3/Recitation_03_learner.ipynb | 157 ++++++++++++++++++++---- 1 file changed, 134 insertions(+), 23 deletions(-) diff --git a/Recitation3/Recitation_03_learner.ipynb b/Recitation3/Recitation_03_learner.ipynb index f0c7728..1671d50 100644 --- a/Recitation3/Recitation_03_learner.ipynb +++ b/Recitation3/Recitation_03_learner.ipynb @@ -76,7 +76,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -119,13 +119,43 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "#your code here" + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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gEjTGPjsHqPk+kVsLy3jk36t4L2MLHVs25W8XHsGoAR20LFAihgpcQk55pY9/fb2BZ75cj9+M60/uybXHdyc2JsrraCINSgUuIcPM+Hh5Lg/OXkH2rjJ+1689d4w8XMsCJWKpwCUkrMkt5r73l/Pduh30atecV68cytFaFigRTgUuQa2wtJK/fraGl+dupFmTaO4/sy8XDUnRskARVOASpHx+47UFm3j849UUllVy0dAUbjq1F620LFDkRypwCTrzNuzgvvdXsGJrEUO7tuaeM/rSp2MLr2OJBB0VuASNPVU+Nu0sY+yUuSQnxPL0RYMZ2b+9lgWK/AIVuHjOzJgxfzOZ2YUYcMPJPblGywJFDqpOBe6cuxG4EjBgKTDBzMoDEUwiw5aCMm59M5Nv1m6nRdNourWN58ZTD/M6lkhIqPVb+c65ZOB6IM3M+gFRwAWBCibhzcx4I30zv/3r1yzcuIsHzupH7/bNadJYo26RmqrrFEo0EOucqwTigC11jyThLreonNvfWsrnq/IY2rU1j40ZSEqbOD7I0NNH5FDUusDNLMc59ziwCSgDPjGzT/a/nnNuIjARICUlpbaHkzBgZryzJId73l1Ohc/PPWf04bLhqTRqpDcpRWqjLlMorYAzga5ARyDeOXfx/tczsylmlmZmaYmJibVPKiEtv3gPV7+8kBtfz6Bnu+Z8eMNvmHBMV5W3SB3UZQrlFOB7M8sHcM69BRwNvBKIYBI+Psjcwl3vLKOkwsefRh7O5cd2JUrFLVJndSnwTcAw51wce6dQTgbSA5JKwsLOkgruemcZs5duZWDnBP5y3kB6JDXzOpZI2KjLHPg859wsYBFQBSwGpgQqmIS2j5Zt4853llJUVsWkEb2YeFw3nb9EJMCcmTXYwdLS0iw9XYP0cFZQWsE97y3n3SVb6Jfcgr+cN4he7Zt7HUskpDnnFppZ2v6X65OYEjD/WZnLbW8tZVdJBTeechi/P7E7jTXqFqk3KnCps8KySu5/fwVvLsqmd/vmvDDhKO1JKdIAVOBSJ1+uzuO2N5eSv3sP153Ug+tO6klMtEbdIg1BBS61UlxeycP/XsmM+ZvpmdSMKZceyYBOCV7HEokoKnA5ZN+t286kWZlsLSzjmuO788dTetJU5zARaXAqcKmxkj1VPPLhSl6Zu4luifHMuvZoBqe08jqWSMRSgUuNzN2wg1tmZZC9q4wrj+3Kzb/tpVG3iMdU4PKryip8TP54FdO+y6JLmzhenzicIV1bex1LRFCBy69YuHEnN8/M5PvtJYw/OpVJI3oRF6OnjEiw0G+j/Ex5pY8nPl3Dv77ZQHJCLDOuGsbw7m28jiUi+1GByz6WbC7gpjeWsD6/hHFDU7h95OE0a6KniUgw0m+mAHt3hH/qs7X886v1tG/RlJevGMJxPXX+dpFgpgIXluUUctMbGazOLeb8tE7cOaoPLZo29jqWiByECjyCVVT5+fsX63j6i3W0bRbDtPFHcWLvJK9jiUgNqcAj1MqtRdz0RgYrthZxzhHJ3HNGX1rGadQtEkpU4BGmyufnn1+t56n/rKVlbAxTLjmS0/q29zqWiNSCCjyCrM0t5qaZGWRmF3LGwI7cP7ovreJjvI4lIrWkAo8APr/xr2828MQna2jWNJpnxg1mZP8OXscSkTpSgYe59fm7uXlmBos3FTCib3sePLsfbZs18TqWiASACjxM+fzGtO++57GPV9O0cRRPXTCI0QM74pzzOpqIBIgKPAxlbS/hllkZLMjaxSmHJ/Hw2f1JatHU61giEmAq8DDi9xsvz93Iox+uIjrK8ZfzBnLO4GSNukXClAo8TGzeWcqkWZnM2bCDE3ol8ug5A2jfUqNukXCmAg9xZsar8zfx8OyVOOf487n9OT+ts0bdIhFABR6kxj47B4DXrx7+i9fZUlDGrW9m8s3a7Rzboy1/HjOA5ITYhoooIh5TgYcgM2NmejYPfLACnxkPntWPcUNTNOoWiTAq8BCTW1TObW9m8sXqfIZ2bc1jYwaS0ibO61gi4gEVeIgwM95ZksM97y6nwufn3jP6cOnwVBo10qhbJFKpwENAfvEe7nh7KZ+uyCWtSyseP28gqW3jvY4lIh5TgQcxM+P9jC3c/e4ySip83Hn64Uw4pitRGnWLCHUscOdcAjAV6AcYcLmZzQlArohX6fOTtb2E62YsZmDnBP5y3kB6JDXzOpaIBJG6jsCfAj4yszHOuRhA76YFwOzMrWRmF+LzG5NG9GLicd2IjmrkdSwRCTK1LnDnXAvgN8B4ADOrACoCEysybd+9h7vfXca/l24jPiaKbonx/P6EHl7HEpEgVZcReDcgH5jmnBsILARuMLOSn17JOTcRmAiQkpJSh8OFLzPjg8yt3PPecnaXVzFpRC++XJWndd0i8qvq8ro8GhgM/MPMjgBKgNv2v5KZTTGzNDNLS0xMrMPhwlN+8R6ufWUR181YTOfWccy+/lh+f0IPlbeIHFRdRuDZQLaZzav+fhYHKHA5MDPjvYwt3PveckoqfNz2u95ceWxXzXWLSI3VusDNbJtzbrNzrpeZrQZOBlYELlr4yisu5863l/HJilwGdU7g8fMG0COpudexRCTE1HUVynXA9OoVKBuACXWPFL7MjHeXbOHe95dTWuHjjpG9ueLYblrXLSK1UqcCN7MlQFpgooS3vKJy7nh7GZ+tzGVwSgKTx2hdt4jUjT6JWc/MjLcX53Dve8vZU+Wv8acpf+00siIioAKvV7lF5dzx1lL+syqPtC6tmDxmAN0SNeoWkcBQgdcDM+PNRTnc//7eMwfeNaoP449O1Vy3iASUCjzAthWWc/tbe8/XfVRqKyaPGUhXnTlQROqBCjxAzIyZC/fuklPlM+45ow+X6XzdIlKPVOABsKWgjNvfWspXa/IZ0rU1j40ZQJc2GnWLSP1SgdeBmfFG+mYe/GAlVX7jvtF9uWRYF426RaRBqMBrKaegjNuqd4Qf1q01k8/V3pQi0rBU4IfIzHhtwWYemr0SvxkPnNmXcUM16haRhqcCPwTZu0q57c2lfLtuO8O7tWHymAF0bq1Rt4h4QwVeA2bGq/M38fDslQA8eFY/LhqSolG3iHhKBX4Qm3eWcuubmfx3/Q6O7dGWR8/tT6dWGnWLiPdU4L/A7zemz9/EI/9eSSPneOSc/lxwVGdttCAiQUMFfgCbd5YyaVYmczbs4LiebXn03AEkJ8R6HUtEZB8q8J/w+41X5m3k0Q9XEeUcfz63P+enadQtIsFJBV5t444SJs3KZN73Ozn+sEQeOac/HTXqFpEgFvEF7vcbL83J4s8frSa6kWPymAGcd2QnjbpFJOhFdIFnbd876p6ftZMTeyXy8Dn96dBSo24RCQ0RWeB+vzHtv1k89vEqGkc14vHzBnLu4GSNukUkpERcgW/I382kWZmkb9zFSb2TePjs/rRv2dTrWCIihyxiCtznN6Z99z2PfbyaJtGNeOL8gZx9hEbdIhK6IqLA1+fv5paZGSzaVMAphyfx0Nn9addCo24RCW1hXeA+v/Hctxv4yydraNo4iifHDuLMQR016haRsBC2Bb4ubze3zMpg8aYCTu3TjofO7kdSc426RSR8hF2B+/zGv77ZwBOfriEuJoqnLhjE6IEadYtI+AmrAl+bW8zNszLJ2FzAb/u248Gz+pPYvInXsURE6kVYFHiVz8+Ubzbw5KdriW8Sxd8uPIJRAzpo1C0iYS0kCnzss3MAeP3q4T/72ZrcYm6emUFmdiG/69eeB87qR9tmGnWLSPgLiQI/kCqfn2e/3sBTn62lWdNonr5oMKcP6OB1LBGRBhOSBb5qWxG3zMxkaU4hpw/owP2j+9JGo24RiTAhVeCVPj///HI9//v5Wlo0bcwz4wYzsr9G3SISmepc4M65KCAdyDGzUXWPdGClFVWc9fR3LN9SxBkDO3Lf6L60jo+pr8OJiAS9QIzAbwBWAi0CcF8HtLWwjM07y2jTLIZ/XjyYEf006hYRaVSXGzvnOgGnA1MDE+fAoho1onV8DJ/eeLzKW0SkWp0KHHgSmAT4f+kKzrmJzrl051x6fn5+rQ6S2CyGHknNaKUpExGRH9W6wJ1zo4A8M1v4a9czsylmlmZmaYmJibU9Vq1uJyISzuoyAj8GGO2cywJeA05yzr0SkFQiInJQtS5wM7vdzDqZWSpwAfC5mV0csGQiIvKr6joHLiIiHgnIB3nM7Evgy0Dc14Ec6BwoIiKRTiNwEZEQpQIXEQlRKnARkRClAhcRCVEqcBGREKUCFxEJUSpwEZEQpQIXEQlRKnARkRDlzKzhDuZcPrCxljdvC2wPYJxQoMccGfSYI0NdHnMXM/vZ6VwbtMDrwjmXbmZpXudoSHrMkUGPOTLUx2PWFIqISIhSgYuIhKhQKvApXgfwgB5zZNBjjgwBf8whMwcuIiL7CqURuIiI/IQKXEQkRAV9gTvnOjvnvnDOrXTOLXfO3eB1pvrmnGvqnJvvnMuofsz3eZ2pITjnopxzi51zH3idpSE457Kcc0udc0ucc+le52kIzrkE59ws59yq6t/psN5uyznXq/rf94c/Rc65Pwbs/oN9Dtw51wHoYGaLnHPNgYXAWWa2wuNo9cY554B4M9vtnGsMfAvcYGZzPY5Wr5xz/w9IA1qY2Siv89Q351wWkGZmEfOBFufci8A3ZjbVORcDxJlZgcexGoRzLgrIAYaaWW0/0LiPoB+Bm9lWM1tU/XUxsBJI9jZV/bK9dld/27j6T3D/T1tHzrlOwOnAVK+zSP1wzrUAfgM8B2BmFZFS3tVOBtYHqrwhBAr8p5xzqcARwDyPo9S76umEJUAe8KmZhftjfhKYBPg9ztGQDPjEObfQOTfR6zANoBuQD0yrniqb6pyL9zpUA7oAmBHIOwyZAnfONQPeBP5oZkVe56lvZuYzs0FAJ2CIc66fx5HqjXNuFJBnZgu9ztLAjjGzwcDvgD84537jdaB6Fg0MBv5hZkcAJcBt3kZqGNXTRaOBmYG835Ao8Op54DeB6Wb2ltd5GlL1S8wvgRHeJqlXxwCjq+eEXwNOcs694m2k+mdmW6r/zgPeBoZ4m6jeZQPZP3k1OYu9hR4JfgcsMrPcQN5p0Bd49Rt6zwErzewJr/M0BOdconMuofrrWOAUYJWnoeqRmd1uZp3MLJW9LzM/N7OLPY5Vr5xz8dVvylM9jXAasMzbVPXLzLYBm51zvaovOhkI28UI+7mQAE+fwN6XNMHuGOASYGn1nDDAHWb2b+8i1bsOwIvV71o3At4ws4hYWhdB2gFv7x2fEA28amYfeRupQVwHTK+eUtgATPA4T71zzsUBpwJXB/y+g30ZoYiIHFjQT6GIiMiBqcBFREKUClxEJESpwEVEQpQKXEQkRKnARURClApcRCRE/X+fecwrjG1CMQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.errorbar(xi,yi,y_unc)" ] }, { @@ -148,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -179,9 +209,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Model]]\n", + " Model(linear)\n", + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 6\n", + " # data points = 6\n", + " # variables = 2\n", + " chi-square = 4.23466092\n", + " reduced chi-square = 1.05866523\n", + " Akaike info crit = 1.90926274\n", + " Bayesian info crit = 1.49278168\n", + "[[Variables]]\n", + " slope: 1.93632021 +/- 0.10004787 (5.17%) (init = 1)\n", + " intercept: 0.27253202 +/- 0.42745210 (156.84%) (init = 0)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(slope, intercept) = -0.919\n" + ] + } + ], "source": [ "result = model.fit(yi, x=xi, weights=1/y_unc);\n", "\n", @@ -218,9 +271,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "result.plot();" ] @@ -276,7 +342,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -328,7 +394,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -338,9 +404,10 @@ "TRUE_K = np.pi\n", "TRUE_A = 1\n", "\n", - "x = np.linspace(-4 * np.pi, 4 * np.pi, 20)\n", - "y = #your code here\n", - "yerr = #your code here" + "x = np.linspace(0.1, np.pi, 20)\n", + "y = model_fn(x, TRUE_K, TRUE_A)\n", + "yerr = 0.4 * np.random.random(20) + 0.1\n", + "y = y + yerr" ] }, { @@ -374,13 +441,37 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "\n", - "#your code here" + "plt.errorbar(x,y,yerr)\n", + "plt.plot(x,model_fn(x,TRUE_K,TRUE_A))" ] }, { @@ -410,7 +501,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -446,9 +537,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "ValueError", + "evalue": "operands could not be broadcast together with shapes (20,) (6,) (20,) ", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_7852/1940784996.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0my_unc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit_report\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m 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"\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/lmfit/minimizer.py\u001b[0m in \u001b[0;36m__residual\u001b[0;34m(self, fvars, apply_bounds_transformation)\u001b[0m\n\u001b[1;32m 585\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mAbortFitException\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf\"fit aborted: too many function evaluations {self.max_nfev}\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 586\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 587\u001b[0;31m \u001b[0mout\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserfcn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserargs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserkws\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 588\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 589\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mcallable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0miter_cb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/lmfit/model.py\u001b[0m in \u001b[0;36m_residual\u001b[0;34m(self, params, data, weights, **kwargs)\u001b[0m\n\u001b[1;32m 783\u001b[0m \u001b[0mweights\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mweights\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m1j\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mravel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mview\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfloat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 784\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mweights\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 785\u001b[0;31m \u001b[0mdiff\u001b[0m \u001b[0;34m*=\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 786\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0masarray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdiff\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mravel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# for compatibility with pandas.Series\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 787\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (20,) (6,) (20,) " + ] + } + ], "source": [ "result = model.fit(y, params, x=x, weights=1/y_unc);\n", "\n", @@ -1298,7 +1409,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1312,7 +1423,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, From c1fe0f636bef0e0a5fbaeb1eb3444b959bb5184b Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Tue, 25 Jan 2022 18:33:21 -0500 Subject: [PATCH 5/9] Worked on recitation 4 --- ...tation_04_Likelihood_and_Chi-squared.ipynb | 157 ++++++++++++++---- 1 file changed, 127 insertions(+), 30 deletions(-) diff --git a/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb b/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb index 3e1fe7a..c01490c 100644 --- a/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb +++ b/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb @@ -66,10 +66,12 @@ "\n", "a) So, we assume that $y_i$ is a random variable with mean $f(x_i)$, and variance $\\sigma_i^2$. Given this, what is the probability distribution for $y_i$?\n", "\n", + "\n", + "\n", "b) Given the answer to (a), and assuming that the probability distributions for each of the $y_i$ are independent, what is the joint probability distribution?\n", "\n", "\n", - "\n", "\n", "
\n", "" @@ -181,7 +184,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -192,9 +195,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# model\n", "pred = np.genfromtxt('chisq_model.txt', delimiter=',') # read in file\n", @@ -224,7 +240,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -234,9 +250,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data1 = np.loadtxt('chisq_data1.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -264,9 +293,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.026354236990057164", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_8001/2074271393.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.4%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#a bit dodgy!\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.026354236990057164" + ] + } + ], "source": [ "chi2,p = chisquare(data1,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -290,9 +333,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data2 = np.loadtxt('chisq_data2.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -305,9 +361,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.04285714285714286", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_8001/1578477463.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.2%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#quite consistent!\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.04285714285714286" + ] + } + ], "source": [ "chi2,p = chisquare(data2,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -331,9 +401,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data3 = np.loadtxt('chisq_data3.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -346,9 +429,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.014609913484252897", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_8001/2285225766.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.2%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#too consistent...\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.014609913484252897" + ] + } + ], "source": [ "chi2,p = chisquare(data3,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -393,7 +490,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -427,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -614,7 +711,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -628,7 +725,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.6" + "version": "3.9.7" } }, "nbformat": 4, From 1133e92f944439379a0c8f433f3e1034add14968 Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Wed, 26 Jan 2022 07:39:23 -0500 Subject: [PATCH 6/9] Recitation 5 --- Recitation5/Recitation_05_learner.ipynb | 213 ++++++++++++++++++++---- 1 file changed, 178 insertions(+), 35 deletions(-) diff --git a/Recitation5/Recitation_05_learner.ipynb b/Recitation5/Recitation_05_learner.ipynb index 66fe5cf..7c38d24 100644 --- a/Recitation5/Recitation_05_learner.ipynb +++ b/Recitation5/Recitation_05_learner.ipynb @@ -98,10 +98,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "50b29b46", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "NUMBER_SINES_TO_ADD = 10\n", "\n", @@ -253,13 +289,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "2d762c97", "metadata": {}, "outputs": [], "source": [ - "t_before = #your code here\n", - "t_after = #your code here" + "t_before = 1\n", + "t_after = 1" ] }, { @@ -319,7 +355,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "fcad984e", "metadata": {}, "outputs": [], @@ -336,7 +372,13 @@ "}\n", "\n", "def model_and_random_parameters(t, delta_t):\n", - " #your code here" + " model = Model(complicated_model_fn)\n", + " params = Parameters()\n", + " params.add('time',value=t,vary=False)\n", + " for p, (p_min,p_max) in params_min_max.items():\n", + " value = p_min + (p_max-p_min)*np.random.random(1)\n", + " params.add(p,min=p_min,max=p_max,value=value)\n", + " return model, params" ] }, { @@ -365,7 +407,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "9210f898", "metadata": {}, "outputs": [], @@ -374,7 +416,7 @@ " data_indices = np.where((xi > t - t_before) & (xi < t + t_after))\n", " data_x = xi[data_indices]\n", " data_y = yi[data_indices]\n", - " model, params = model_and_random_parameters(t)\n", + " model, params = model_and_random_parameters(t,1)\n", " result = model.fit(data_y, params, x=data_x)\n", " return result" ] @@ -406,12 +448,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "c17dd02d", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "

Model

Model(complicated_model_fn)

Fit Statistics

fitting methodleastsq
# function evals41
# data points20
# variables6
chi-square 0.99857483
reduced chi-square 0.07132677
Akaike info crit.-47.9431692
Bayesian info crit.-41.9687756

Variables

name value initial value min max vary
time 0.00000000 0 -inf inf False
lambda_plus 4.89137676 [4.74686302] 0.10000000 5.00000000 True
lambda_minus 0.15828433 [1.73004565] 0.10000000 5.00000000 True
max_amp 1.0658e-13 [0.26925915] 0.00000000 2.00000000 True
omega_0 0.02367971 [3.66804476] 0.00000000 5.00000000 True
omega_max 3.64233381 [2.20775126] 0.00000000 10.0000000 True
omega_sigma 1.46601992 [3.09416592] 0.00000000 5.00000000 True
" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "#your code here" + "fit_once(0)" ] }, { @@ -450,29 +506,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "ee789178", "metadata": {}, "outputs": [], "source": [ - "from multiprocessing import Pool\n", - "\n", "NUM_FITS = 6\n", - "\n", - "def fit(t, pool):\n", - " results = pool.map(fit_once, np.full(NUM_FITS, t))\n", + "def fit(t):\n", + " results = [fit_once(t) for t in np.full(NUM_FITS,t)]\n", " min_result = None\n", " min_chisq = None\n", " for result in results:\n", " if min_chisq is None or min_chisq > result.chisqr:\n", " min_result = result\n", " min_chisq = result.chisqr\n", - " return min_result\n", - "\n", - "with Pool(6) as pool:\n", - " result = fit(TIME_TRUE, pool)\n", - "print(result.fit_report())\n", - "result.plot();" + " return min_result" ] }, { @@ -512,16 +560,67 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "04b4106b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-100\n", + "-95\n", + "-90\n", + "-85\n", + "-80\n", + "-75\n", + "-70\n", + "-65\n", + "-60\n", + "-55\n", + "-50\n", + "-45\n", + "-40\n", + "-35\n", + "-30\n", + "-25\n", + "-20\n", + "-15\n", + "-10\n", + "-5\n", + "0\n", + "5\n", + "10\n", + "15\n", + "20\n", + "25\n", + "30\n", + "35\n", + "40\n", + "45\n", + "50\n", + "55\n", + "60\n", + "65\n", + "70\n", + "75\n", + "80\n", + "85\n", + "90\n", + "95\n" + ] + } + ], "source": [ "results = []\n", "delta_t = 1\n", - "ts = np.arange(-10, 10, delta_t)\n", + "ts = np.arange(-100, 100, delta_t)\n", "\n", - "#your code here" + "#your code here\n", + "for t in ts:\n", + " if t%5==0:\n", + " print(t)\n", + " results.append(fit(t))\n" ] }, { @@ -552,12 +651,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, + "id": "500efbb5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-100, -95, -90, -85, -80, -75, -70, -65, -60, -55, -50, -45, -40, -35, -30, -25, -20, -15, -10, -5, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95]\n" + ] + } + ], + "source": [ + "tss = [5*i-100 for i in range(40)]\n", + "print(tss)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, "id": "eb9d3b96", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "#your code here" + "#your code here\n", + "amps = [r.params[\"max_amp\"] for r in results]\n", + "plt.plot(tss,amps)" ] }, { @@ -889,7 +1032,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -903,7 +1046,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, From 68ce030281b126e27b814ecba22b3b5f8ccb9d1b Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Wed, 26 Jan 2022 07:49:40 -0500 Subject: [PATCH 7/9] Worked on recitation 6 --- Recitation6/Recitation_06_v2.ipynb | 41 +++++++++++++++++++++++------- 1 file changed, 32 insertions(+), 9 deletions(-) diff --git a/Recitation6/Recitation_06_v2.ipynb b/Recitation6/Recitation_06_v2.ipynb index 36db1c6..02029b9 100644 --- a/Recitation6/Recitation_06_v2.ipynb +++ b/Recitation6/Recitation_06_v2.ipynb @@ -134,12 +134,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 2, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -187,14 +187,14 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { - "image/png": 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WhOhyqyZCoRADAwPlvu3bQkN0q6SSCQ3ZjQ3Zrbr79+8v2KpbDHMRbKdENxaLMTU1RTweLziqJ5ty9kOWRDT9Vr5X141M/rMI8bTG997047CJdHjtLASTPDMR4J1Hb1kuZhvO5PviJhIJYrEY4XCYeDzOxYsXAbZEV/kndFLR+Nsr61xbzaQYYmkdr0O3xFAzjLKi15KeGLrBn76wwHI4RbNT5uJsiPVomn96oQ+pCu+HelaERFNqzgKiQxYJJ9Utjyt2x1YOkiQVFeNCE6KzxTiVSiHLcsnjrhHp3oVUM6FBkiQSiQRzc3NlteoWQxTFmkt2ColudrPFyMgI7e3t276ncv0bjvZ4WQwmWIuk2EwadMsig23F61iDCQVVN2i/ufLf5XOwGEqi6qUNabJvXVtaWohGo5w6dcqapRaNRrec0Ga++LklhWv+NH1tbhQNViNRFoMGXruEZhiMdHoY2Ga/sz+X7diIplkOpdh3M5p02URmAwmCCYV2z86llMrhSLcXgcyFzy4JBOIqP32sc8vjQgmFSEwgbU/Q1+qsS055uwnRphgHAgFUVcXv91vTQQpNiA6Hww3RvVuopqEBMrfq4XCYUCjEyMiI1UFUDWbEXEuZVX5n2+TkJKlUipGRkbKbLcr1b2h123j30U6WwylsIYF3HunAs00plV0S0Q0D3TAQBYGkomGXRaQqzmvzfRSbpZZ9q/vm4jroaRbmA4iSCIrEWJeP/e0eWpu8HOxpqioSzUcSBQyw3p8Zp1brcFbPRbSRTg+/8rYB/vzlJaJpnUcOd/DBUz05j5lYj/H5p/0gyohSgEcOd/CJ8/t3rE42W4wTiQRer5fOzs6CE6KDwSC/8Ru/gc1m4+tf/zpLS0scP36c0dHRil5zcHAQn89ndctdvHiRQCDARz/6UWZmZhgcHOQb3/jGltrnSmiI7jZU29AAt6LHeDyO2+2mv78/x3+1GurR2CCKIolEgtdeew1FUSyxrYRKPHWbXTaaXTai8zIu2/Yi3e6xcWyfl6vLUcSbn/Ejh7ePugtRzr5l3+oO7dcIxBRa3TZUTSXpj9LTZKdDjBFbXeOVBSWnpdaspqj0NrvdY+PUgSZengthlwVSis4Dw600OSs/DXei2eTsQAtnB4pHiX/0o1kMw6DdY0OSZf7+up+zA82M7Stv1FMtZC+kFbuQ/vjHP+bDH/4wY2NjvPbaazzzzDN84QtfqPi1nnrqqZxz9XOf+xyPPPIITzzxBJ/73Of43Oc+x+/93u9V/V4aolsAs/YvGAxa42zKFdtQKMTU1FROq+7ExERdusAkSappO+FwmIWFBTRNY2xsrGKxTSoaS8Eki1GN0aRCWwURdzlCLQgC5wZaGGxzk1L1TElWGcbitfLuo518/aVFlkJJdAPu6W/ngbGenOg2u5JiZWWFaDSaU9amKArhcBiPx1M0Ry8IAo/d08Nop5u1SJqeJgfHe31VRYq1OMVVg2EYrEVTuOSb6xeCgCjAZlwp/eQ6oKpqybUPp9NJNBrlE5/4RF0rgP7H//gf/PCHPwTg8ccf5+GHH26Ibr0wy740TUPXdS5dusQDDzxQ1klhTtUVBIGRkZGcvJIsy1t6zKvBzOlWSvZ49Y6ODqtEqxISaY2/e3ONaEplLqCTuLrGe0700uquby5SEISqDGdqoafJwS892M9KOIVdEjnQ6rQibZNCLbXZzl+rq6ssLi5a0yKy56h5vV6rrE0SBU4dqL2OdLdFVxAERjo9vDEbx+sVSKs6hkFOqd1OUu4CXq3pN0EQePe7340gCPzyL/8yn/rUp1hdXbXq0vft28fa2lrV24eG6AKFa2yzv7Z7nt/vZ3p6GrvdzuHDhwtO1a01Qq12O8FgkMnJSQDrQrC8vEwikaj4tac3YsTTGj3NTmJuCRF4cznCAyPtJZ8Ld/6YH69DZrSzstMh2/nLbrdz9OhRYOsctY2NDWvCcH5plMvlqko8d1t0Af75Q4P89l/62YhlWoP/6YUDDLVXNti0Wsqp063H8fXMM8/Q29vL2toa73rXuzhy5EjN28znLS262zU0lHpedqvu2NjYtq26Zk94rZQb6QaDQSYmJhBFkdHR0Zzi9WrzwqpmIN1c0RIQkEXBaocthztddOtJdllb/lBLs6wtGo2ytrZGIpHAMIwt+eL8srZ8bofodnjt/E8n7AwfPorP5cAu797rVyK6tSzs9fb2AtDV1cVjjz3Giy++SHd3N8vLy+zbt4/l5WW6urqq3j68RUW3khrb7NKo/FbdU6dO4SrDyk+SJJLJZM37XUowNzc3mZycRJIkDh06VND0o1rR7W1xcnkpTCylktYMQgmFs0O3opxyDvTdEt20qrMW11kOJenyOTCAlXASw4Bu3+6KRTaCcGvCcGdnJ6vhFF95YYH5zQRdHpGfPSKjh8PW3YhZp5ptEGR2cFU7qmclnOSFmSACcG6w1XJLKxvDoM1bn1Kxyl7WKHmRSSaT1hpMNZipIZ/PRywW43vf+x7/7t/9Ox599FG+8pWv8MQTT/CVr3yFD3zgA1W/BrzFRLeQ2G538JglWoIg5LTqnjlzBoej/IO10NSHaii2nUAgwOTkJDabrWiKw6Ra0e3wOvjJQx1cXgwjiiL39fsYqODWcrdO0mhK5WsvLzOxkOLlyAIDrS6Sqs58MIGIQIfXzsfP7d8VF7DtUDSdP/zRTCZl0+QgGFf4xtUYv/Oeg9ZFwaxTjUajOe20kiRht9tJJpNsbm6W7Yc7v5ngd58cJ6FkjqFvvbHGv3/voYrzsneqlWIwGKzJXWx1dZXHHnsMyETWP/dzP8dP//RPc9999/GRj3yEP/mTP6G/v5+//Mu/rGk/3xKiW01DA2REbnp6mrW1NXp6espu1S20nXqIbrZgGoZhia3D4eDIkSPbim2hbVRKb4uL3hYXl/U1BtpcFZ18u5Ve+PFEgM2ESodLpLfFyfMzQXRd51RfZmFzJZzkR+MB3nu8tlvEWtmIKYQSqrVo2OaxsxpJ4Y+l6W3OiGCxpgFVVVlbW2N5eTnHglGW5ZyoON8689tvrKFoBj1Nme37oymevLLGL/1E/y69652l1m604eFhLl26tOXn7e3tfP/7369l13K4q0W32oaGdDrN3NwcwWAQn8+3ZYR5pdQz0jW7ciYnJ3G5XBw7dmxLveJ21MNPN19AFUVhaWkJp9OJ1+stGHXtluj6Y2m8dolYxo4BVTcQuPU399hl/LF0kWfvHm67hAGomo4siahaphrAbSvdEi7LMm63G5/Px8GDt7wRTHPyaDSaM7bHtM5cDyTA0DAMHUEQkUSRpFL7cbnTlHvc7AWHMbgLRbeWhobsSQj9/f10d3fT09NTs7drPUTXdM5fXV2lra2tap/dWvx0TcxoWVVVZmdnWVlZoaOjg1gsxuzsLIqSaSYwoy7zorAbojvQ5uJHGzFkMv64TpuAdtMrVxQybaz39t9+g+smp8yjJ7v575dWrAvSzxzvosVd3p1UoYW0Qubk2WVtp3v9vLbkJ53MVFKkdJEBh8TKysqOWWfWg3JqdCGTXrjTW4DhLhJds6FhfX0dt9ttjRkpR2xNv9hgMGhNQjCH/dWjvrYW0TUMg/X1daamphBFke7u7prKWOrR1WYYBktLSwSDQQ4cOMD999+fk7qBXI/cxcVFgsEgly5d2rJK73a765ojvDDUij+c4Nlrm4iRNI+e6EbVDJ6bDmIAp/qauDC0O+N0SvHI4Q5GOtz4Y2naPfaKyq+CcYVrGwpJd4TD3cVHyGeXtb2vtZXm1g6evLIGGLz7UCsnu2xEo9Gi1pler9cqa9uJgablUG6N7l4wu4G7QHTzGxoWFxc5cOBAWQtd0WiU6elpYrEYQ0NDll+sSb2aGqoRXcMwWFtbY2pqiqamJk6ePGmZttRCLSePpmnMzc2xsrJCT08P999/vxWBmFaKJvkeuZqmMTQ0ZJm6Z5dMmav62ZFxtRMIbJLIe4910C9scPLEkLUo9bbRdgwy7ln1ppYIfrDdzWCFta4LwQSfe2qRWErBMT7FwU4P/+qR4ZJVGYIg8LbRNt42mtsYk2+daZa15VtnOp1OFEVhfX09x2RmpynXS3cvmN3AHhbdYg0NNputpMCFw2GmpqZIp9MMDw8XddXa6aqDQmTXADc3N+eUpSUSibqlBipB0zTL+7e3t5fe3l46OzsruhU1P9/skqns7Wev0s/Pz5NOp3MWhir1O7BLQo4I7WSZ2E6PX8/nay8toWgaHR4Zt9vO9bUYz09v8tDB8hpVtiO/rM1E13VCoRDj4+OWyUx2WVt2ZFzvidCVGJiXO9HkdrLnRLdUQ4Msy0UbEcypupBZqSzlFFTP9t1SQmcYBisrK8zMzNDc3FxwXE+1bcCV7otJWlWZm1tgdTljtG4uKI6Pj1cs3NstpBVbpVcUpeAYH7PFNjtFsduNAtnslugqms4bSxGurUYRyDSpCIKAJMBmYmc9EERRxOFw4Ha7GR4etn6+nRdu/hDSau9e7qapEbAHRVfTNGvybKETLV8oDcNgY2ODqakp7HY7Bw8eLLuWT5blqlpm8ynVSry8vMzMzEzJ2Wj1aCcuR3R1Xefpy1P88OoCXl8TY0PD7O/rQpYzkW21lQiVPsdms9Ha2rrF78BssTWn1pq3v2aKwm63VzU5olp0Xef6psbEy0u0e+w8ONKKs4wqhEpQNJ0/eGqaqytRVsMpArEURzocyA4d3YDRzvoNLy1GoekN+RfMQCzNG0sRBAz622TUVNyaCG3evWSXtHm93pJlmA3Rvc2Y8+6LYbPZSKVSVk50enoaj8dTcWkV3CrR2gmyu9va2trKarjY6UhX13WWlpZ4/cYMV6JO7jk6istuZzWS5KXZIA+OZm5fqxHdeolfsRbbfLPy7Im1+SmKeo99f/LKOt+dVumJhEiqOm8shfnVtw/WdVba5aUIV1ei9PjsdHntvD6vMhFQsDs1Pn5uf0l7RUXTkURhi5FPJZQamTO/meC3/vs14mkNA+htdvCFx47S23tLZsyytlgsxvr6OtPT06iqmlPtkj8RupJRPQ3RvQ1IksTm5ibLy8u0tLRwzz33lNWqWwhZluuS083GFLbZ2Vk6OjoqGkRZjxXkQoJpXgBmZmbo7Oxk+Mhx/HNhXDf3q81tZzl8q425mv3Y6TrdbI/VlpYWUqkUJ0+etCbW5teu5k8a9ng8VaUoFE3nqfEN2l0C7V47hmEwG0gyG0jUNfqMp7VMSuFmOmG41U5MhT/+x8e3vaAlFY3/8+k5np8OIosCHz2zj/cd76rqIlhqasmfPDtPPK1Z05AXNpM8eWWNj9zbaz2mUFkb5Fpn5k+E1jQNj8dDJBLZtqwtHA7XZC6+W9w1omtWLkxPTyPLcsWtuoWoV04XMrfF8/PzzM3N0dnZyX333Vex52c9FvayT7bs1EZ7e7u1T4vBBJp+a4JDNKXSmlU/Wm2kezsMbwpNrDVrV818sVkuZRiGVS5lCngp4xnDyHyZD8ks6BrodX6rQ+1uRFEgllJx2iQ2Eir39TeXFM+vX1zi2elNOr12NN3gz15aZH+Lk9N9lTcR6Lq+bcTpj6Wxy7f2RxTBHy2vEWU768zx8XEMw2BhYWGLdaa5cOd0OhuR7k6Rf5CpqsrCwgKLi4t0d3dz4sQJ5ufnaxZcqI/o6rpuHSyJRKIqsTWpV62kKbbT09MFUxu9zU6O9Pi4vhpFFMBllzg/dKvMaDdFV9F0fjQR4OpyBK9D5p1HOuhr3f7OpRyzdLN2NbtcKnu4ZSQSYXl5mXgigSxJOUKc7XVgl0XO9jfx/TciuJMqcUWj3eOgv7W+PrP7W5z8y7cP8qcvLhJMqNzT7eAj95SeRPL6Yphmp4woCAg30wvXVqNViW6p2/yz/c38f6+t4JBENCNz4Tl1oPpGFPPvZLfb6e7uti6c+Xn9V199ld/5nd9hY2ODxx9/nLGxMR5++GEeeuihqt7j2bNn2b9/P9/61rfqPqoH9qDomiiKYtWM9vb2WivriUSibtFpLZGlpmksLCywsLBgHTCDg4M1OdrXGuma5WixWIxgMMi9995bcNFOEATuH2rlcLcXVTdocdlySq4KCWg5olqN6P7D+AYvzgbpbnKQUEesIMoAACAASURBVDT+4uUlPnmhr+Qgx2pun7OHW6ZsPr55fQF/TKKvxcmHDrQg6akcrwMzD/lAt43YhkTabaOrycd7jnXWfSEN4MT+Jr7wWEbExsfHt503Z9LhtXNtcpNQQkE3DNx2mZYqp3GUEt2fv28/oYTKD25sIIsC/+T8gbo0ouR3pOXn9QcHB/mpn/op3va2t/HpT3+aq1evEo1Gq3qtP/iDP+Do0aOEw2Gg/qN6YA+KrmEYXL9+Hb/fT19fX06BPmRyRvUS3Woi3eya1p6eHutiEA6H65IaqLZqYH19ncnJSZqbm3G73Zbh9nav1VZE2KpZ0Kt2Ie3KcpSeJgc2ScQuiYSTGivh1I5Oz42lVP74x3OAwb4mB6uRNF+/tMn/8q6RLSN8zNrik60adnsAXdOZm9jIiYx3oomgXD/dw11evvn6KoIoIJDxQN6MV+c9UWoqg00S+bWfHOJfPDxo5Z/rQbnVC4IgcOTIkao7NhcWFvj2t7/Nb//2b/OlL30JqP+oHtiDoiuKIu3t7Varbj71rDio5Hbe7NYyGwjyTXLqnY8tB3OyxeTkJD6fz2q0ePbZZ2vej91KL7jtEilVtyoBDMPAXseqgEKsRdMkVY1uXybl0uG1sxJOEUmqOd4IZtedw+EgmUwyNja2xah8dXWVZDJZ1647KF90l8NJ+ttcyFImtSBg8MZydVGgWSNdiloqJApRjugmk8maU4q//uu/zuc//3kikYj1s3qP6oE9KLoAnZ2dRU/gekYU5WxLVVUrst2/fz/3339/wQOkXt1t5WDWJk9OTuLxeDh58mRN5s757KbovutIB994ZZlQQsUwYLDNxWB7ddUo5eKxS+hGxiRHEjPzwMzcdiGy64GLdXTVu+uuXNHt8GbuCMyUQiCm0Omt7i6h1ELaTlFOyVitDmPf+ta36Orq4syZM1Zku1PsSdG9E1BVlbm5OZaWljhw4AAXLlzY9sDYLdHd2NhgYmICl8vFiRMn6iq2JtUu6FUjuoPtbj55/4HM0EhZZLjDXdf610J0+Ry883Anf3dtHVEAA4F/fKa3qG9DOU0Y9e66KyW65j6973g3z08HWQ4nERBocsp87Oz+Cj6NW5RbL7sTlPp8a61ceOaZZ/jmN7/Jk08+STKZJBwO8/GPf7zuo3pgj4puuYs2O9GNZC7gLS8v09fXV1JsTXZadAOBABMTEzgcjoK2j4ZhEE9rOf+v9vPZ7eaITp+DTt/uTgh+71gnY/u8BBMqXT67ZSxeiFo+y0Jdd/ObCVY3ozhljUQiUbDrLplMoijKlpK2cFLl//jhNJcWwvicMr/ytgE++4EjXFmOoOkGx/b5aHJWd9rfTtEtRTgcrinS/exnP8tnP/tZAH74wx/yxS9+kT/7sz/jN3/zN+s6qgf2qOiWwhS4Wn1w4Zb/rKZpzM7Osrq6WpHY5u9Tvdnc3GRiYgKbzVa0607VdH48scGUPw4Y6AGds6qG3Vbd57OX6nSrRRCEity/6nWB/+brK/zVayuIN7f5q28f4OzYIJDbdacoimXalN11919eCXFlLUGHx0FS1fnS96f4/GNHuW+g9vrV2yG65R4zwWBwRwzMn3jiibqO6oE9KrqlDnCbzWaNL6kVURS5ceMGGxsb9Pf3c+HChao6l+oluuZFIBwOMzExgSRJJUf1XFmKMLEeo7c5M6TxhVmd6ysRTvRVV86TL6Cbm5tcvjaOYUBnixefz5fjw1roOXcT9bqrWgol+atXV2h1y8hSZqrDH/9olj/6WBM2SczpultcXOT48eNWhU00GiUajfLaQgi3pBMKZ0xnEml46cYiLce6q+66M7kdoltu7rqejREPP/wwDz/8MFD/UT2wR0W3FPVoakin08zMzBCJROjs7KxabE3qJbq6rvPKK68gimLRib/5rEdT+JxSplsKcNlE1iPVTyc2c7qhUIgb4+O8tqbhN7wIAvSk4D4hbt0SmwtL6XQaTdNoaWmpqVb5TqTaybz5bMYVRFFAvpmzdtokokmNaEqj1Z177GVPx5Vl2Wqt7WoJkFYN3HYRTdOJ6ykcQqaMMRaLAeByuXIW70p13ZmUagPeCcq9Y90rUyNgj4puqQOkFtE1R/ZsbGwwMDBAV1cXHR0dNR9skiSRSqWqfr4Z2SaTSQ4dOpSzMm4STak8NxlgLZqiy+vgwkgbXodMm9vG7EacJqeNzVgaf+Jm72qVJJNJ1tbWiMViGM29BAMx+prtoOssh9OsCc38xNgQkBGkWCxmXcCuXLmCoijY7XYravN6vXW1Z9zpiDql6qRVHa9DsiL4eojuviYHopDxWXDbJYIJhRa3rWAOtthI8n/20CCf/7sJEnENw4D7Btv4qbMjyDfri82uu2g0anXdJZNJpJtdd9mLd/kXx9tRvVDuqJ5wOMzo6Ogu7FHt7EnRLYWZXqiEVCrF9PQ0gUAgZ2RPKBSqS4Qqy7K1GFIJkUiEiYkJNE1jdHSUqampgnlbTTf43tVVwkmVZpeNxVCC711d4wP37OP4/mbWoimemwwwt5lASBu8uhimu9XLWG/5bZrxeJzJyUkikQher5d7772Xp66v47aLiIKAIWRWx1dCty4uoiji8/lobm7GbrfT09MDZO4kIpEIsViMubk5KwozF4rMr2prWXdiEdUwDP726jrffH0VA4NDXV5+5cH+uolum8fOrz08yH/6h1nWI2naPDb+1SPDOQ0ZpTh1oIkvfvAYE2sxvE6Ze/Y3sRZJ8bWLS2zE0tw30MKjJ7q3LLSqqmrli9fX17d03Xm9XsvDeje522wd4S4V3Uoi3WQyyfT0NJubmwwNDXH48OE7YmRPNBplYmICRVEYHR21VreLbSeSVNmMK9Z47U6vg5VwkmgqI8Lnh9p4YynCT3Z52VxTaPXY+NG4n4Nd3pJTFZLJJFNTU4TDYUZGRujr62NhYQHI1IEmFJ0Ww8AwMtH2SOfWBaj8nK7dbqe9vX2L90GhWtbsE9+Mim/HKvrVlSj/7dIKXR47kihwfTXKn7+8xAcO1W/O2z0Hmvmjj50gllLx3fRMMFE0HVksPfevt9lpVVsE4wr/5pvXiKU07JLAmytRgnGFT17oy3mOLMs0NTVtSVeZXXfRaJR0Os2rr75qzVHLTlHs1Oieu21UD+xR0S1nIa2UUJpCEgqFGBoa4siRIwW3u9uiG4vFmJycJJlMMjo6as0YMylWI2uTBAwDa+ptOKkSSd6KTBTNwG2X8DllQoKIqbNpVS8quul0munpaTY2NhgeHrZmyIXDYWu7R3t8zAUSvLkcxjB0epudBVfKy1lIy14oyt8Ps8PLNA8yHcGyxbjeY2Lymd9MIoCVc21z27mxFoM6ii6ALAo0Z/kj+KNpvvj9KSbWY3gdEv/i7YNlb+v1xTDRpEabJ7M9h83gO1fX+Sf3Hyhrn7Nn3a2urnL27Fmr686sL15dXc0Z3ZNvDFTLZ1NJpLsXxq/DHhXdUsiybN2u5pNIJKyordAwykLbqpfobrcd89Y9Ho9bYlvJ3DaPQ+Z0XzMXZ4PMbsRYCqU40Ori25dX+JmT+2hx2fDYJTbjaQwBNqJpulp8uAt0WamqyszMDKurqwwODnLo0KGcfckWUFkSee/xbs4NNJFWVNo8jqK3w9Xemhay/cvOTYZCIRYXF0mlUsiyjNPpJJFIEA6H8Xg8dYuK2z22m1aOmXRCNKUy3One8QkVX/z7KaY34nR4bCRVnd///jSPj5bXnCLm/S0MI3NRroXsrrtssrvu8qdFZAtxJbPuKjEw3wteurBHRbeahbR4PM7U1BTRaJTh4WGOHTtW1okiSVLF+eFi2ykklolEgsnJSaLRKCMjI3R0dGy7X9t1g50ZaEU3YDmU5KGD7bR57PijaZ6e2OB9J3p4/8l9/ODaOvNJg4OtMu890ZNzUpr+EUtLS1YtcqHFGrNsLfv/rW47qipuOcmzH1NPsh3Buru7rZ8risLGxgbRaJSlpSWi0WjO7XC5PrmFON3XzL19zby6EEISBXwOmZ87ux8jGSq4rZVwkm+8vMxGLM29fc2870S3taCVjXl3UmgbKVVn0h+j3WPLuGvZJJKKwnKsvAvYqQNNdHjtrEdSyJKAqsHH7uutysejFKW67qLRaNGuu/wSQ5NKIt2G6N5GshfSzAgyFosxPDzM2NhYRQdcveak5YtudsQ9MjJS9n6VmpPmtkt0NTksh7Amp8xGLOMq1eax8+Ez+znhjdLe3orv5qq46fk7Pz9Pb2/vFue2fERRrKo5oh5ewKWw2Ww0NTXhdrstt6ns2+H8FftsIS4VgcmiwC+/rZ/ZQIK0qtPX6sJtl1iJby0ZCyUUPv3kOLG0hlMW+YtXlgklVT5x/oD1mJSq8389PcuzU5vIksjHzvby3rHcNlO7JFimP05bxhNC1w28tvKOYa9D5nMfOMI3L6+yEU1zuq+Ztx9sK/3EPMqtly1EObPu1tfXrfMsO0WRTCbLShukUqmqJ8TsNnel6MqyTDKZ5PXXXyeRSDA8PFwygtxuW/XM6WbnkiuJuE1K2Sq2uG3oeqYLTZZENuJpDnXlRh5mtJxtZt7V1cW5c+fKmh9WzE+30ufsFtm3w9m989mjfFZWVohGo1YEli3G2YtEoiAwlNepVii9cHUlSjSlWeYyLpvE96/7+YVz+63H/vnFJZ6e3KTTl5nq8KcvLNDb7ODUgVsiIwgC//ztg3zp+1MkFB1dN3hotI0Bj7/s99/ituWIfTXUuzGinFl3m5ubrK+v4/f7mZ+fz1m483q91gVyrzXd7EnR3e4Ej0ajjI+PEwwGOXXqFO3t7TXd2tarqcE8wV955ZWcRalq9me7iHF/i4sHR9t5bjoAhkFvs4sHhnMjG0EQCAQCTE5O0traWvE0i92aBrzTFBvlk0wmrdvh7EUij8eDz+fbMsW2kOjmpxF0w9iS635tIUSzK1OhIN60Xry6HM0RXYD7Blr4/Q8dY2YjQbNL5lCHk9dfD9TzoyjJbnWj5S+mKorCgQMHcDqdOXaZU1NT1trD008/ja7rXL58mSNHjlTcfJNMJnnooYdIpVKoqsqHP/xhPv3pT+/I1AjYo6ILW0/8SCTC5OQk6XSa4eFhEolEzhW0WmqNdNPpNFNTUwQCASRJ4sKFCzVdBLaLdFOKxvPTm8xtJujx2Tk32EZvy63cpWn5uLi4iNvt3nbce6l9qGYw5V4gOwLLt2bMvhU2p9g6HA4Mw8DhcBCLxay85Ng+H92+TNmeLAoomsHHzubmUju8dvyrMZw2CcMw0AyDdk/hO43sMjBFUW5LZ9jttHUsNNDSMAwGBgYwDINnn32WL3zhC1y7do1PfepT/NIv/VLZr+FwOPjBD36A1+tFURQefPBB3vOe9/DXf/3XdZ8aAXtYdE3M5gFVVRkZGbFKrG7cuFGX7VcrutnlVoODgxw+fJjnnnuuZvHZTnR/OO5nZiNOh9dOOKny/evrfOTMfpw2yTLGcTgc7Nu3D4/HU5XgwlvD8CYfSZK21LEahkEqlWJ2dtb6eycSCSud8Ysn3by0YiOuS5zua+HcYG4p3SfOH+DTT46zEU1jAKMdbt5+sJ1S1JJfrZbbJbrbLaQJgkB3dzfveMc7+PrXv85Xv/rVql5DEIScyFpRFARB2JGpEbCHRTccDjM+Po6u64yMjOzYymWloqsoCjMzM6ytreV0ttULSZJIp7eOW0mrOjP+OD3NmVrVVo+dlVCKudUAkdU5RFG0jHHm5uZqWtS600V3t15HEARrBb6pqcmaMJBdOnWhW2F6LcCVaysszdk53ttkGQLtb3bzxceOcn0til3KRMelGlWgfqKrGwb/70uLfPfqOnZZ5PHzB4qK/u3wXYDyqhfq0Y2maRpnzpxhYmKCX/3VX+X8+fM7MjUC9rDobm5uMjw8vONdKOXmdBVFsawfBwYGajbIKUaxW3tZFJCkzG2sXRZIJpIsLi4xK9g4d+JwTt6ymhlnJklFY2YjzmxI5WRaKzpNIZ/djnR3M52R/76yS6een97kyzeiGIYDTTe4kFJ57FCSjY0Nqy3ce3O1PhJSy2p9rpfofuPlJb720hJum0Q0pfH5v5uk2WUrOMH3dk2NKOYxkU09GiMkSeK1114jGAzy2GOP8cYbb9S0ve3Ys6I7NDS0rXCYJUq1HpylTl5VVZmdnWVlZWXb2lZzW7UW0he7CIiiwNtG2/nu5WWCmwGSqTTnDx/gnWeHtryeKIpV1R5Hkyr/9bk51qNJVlfSrDw9wycfGLBKz0qxl9ML21Hsb6obBn/4o1ncNtEq93phIcF77+ljbHAw85gqWp/rJbpPjQdwyqIVXadUnWenApw60MRmXGExmKTTa6e7yXFHG5jX02GspaWFhx9+mO985zs7MjUC9rDolsJsBd4pG0FzXM/y8rI1rqfUiWBGmLX4/BaLdFOpFHpggVEpQOvxPvZ1ttPfVrg9tdpxO89NB9iIpTnQ4kYLiWzGFZ6e3OA9Y90ln7tXFtKqoZgIplSdlKrjc2QWx0QhU6EQTt5KV23X+mxWUMzPzxOPx63WZ1mWSafT1jDGaj9bj11C1W9dCA3DwOOQ+cH1df7Ddyatho1/9tAA5zpvT6RbDrU2Rqyvr1sLdYlEgr//+7/nt37rt3j00UfrPjUC7mLRlWXZshCsJ9ldW+YgynIPRlmWaxbd/EhXURSmp6fx+/0MDQ3xniIeEtlUK7qhuIIzK+foskmEE4o14j0SiVj5yvzPvZb0QkrViac1mpxyRY5bu0WxSNdlkxhqdzEbSNDmtpFQdCQhM1yzFNmeByZm6/Pq6iqRSITr169brc/5TR7lHJO/eKGPf/PNa5mR7DfXAYbbXfzLv7yKAQiAxyHxhz+ape+dXfS2VLfwWi3lHi/hcLgsX+liLC8v8/jjj6NpGrqu85GPfISf+Zmf4cKFC3WfGgF7WHR30lO3EKqqsrCwYI1Yr0RsTepR82sKZnZaY2BggPvvv7/sW85qu8NGu7y8thDC55TRdINwUqHL6eDFF1/E7Xbj8/nY2NhgdnYWRVFwOByWEJgHdKVcnAvyFxeX0Axoc9v4pZ/op7tpd+ellWK7lNG/fucIX/rBFBPrcZqdMr/+jpGq572ZtcLNzc0YhsHIyAiQO9xycXGRWCxWVuvzWK+PP/hHY7wwHcQhC7z9YDuf+vplq6bYMAzLnWwlkqKv3VNs13aESlqA+/v7q36dkydP8uqrr275+U5MjYA9LLqlqMZTtxCmwD3//PP09vZy/vz5qiPVWhawTARBIBKJ8Pzzz5fMIW+3H9VEnfccaCKcVPjR+AahtM69cojmdJJDY2PWdAhzX6JJhVAsiagmSSRiBAIBYrEYoVAoRwiyO4vyWQ2n+NpLS7S6bThkkY1Ymv/6/DxPvPvOM6suJrodXjufefQIqm4gFfFXqJT8SRXF2mzLaX3ua/YwdLY3s13DIBBTMhOQDfPibKBqBl1ucderF8oV3WAwyMmTJ3dhj+rDnhXdnY50dV1ncXGRubk5AE6dOlXQPLwSatknXddZWlpienoagAsXLtQk/tVEnYIgcN8BD83xRVZljXPnjloLGNnbe3Fmk2+9kSmv8TlkfuH8AYaam/H7/QwPD+d0e01OTqJpmhWVmekJh8OBP5opjTNHn7e5bSyHU9vaUd4OyrmAFTK6qZZYSuXPXg+z8uIb9Lc5+dRP9FteGybVtj7v80poukwkpaHfzPf+0wf6aHEkdz2nW+7i3V7y0oU9LLqlqFbgTHGbnZ21/AiuXr1al32qJr1gGAYrKytMT0/T2dnJvffey9WrV3dkMW470uk0k5OTBINBRkdHiUajBQ/0tUiKv7m8RqfXjk3KLLZ9/eIin7y3DcMwkCSpYOutGZWFw2HLpnEzLRKOaLiFNE6Hg6Qm0OKyYZPurLzuTls7ZqMbBl/8h2Vu+JP4XHZmA3Em1+P8p48ety5O21Gq9fl/Pqvyez9eR9QNVAPef8jDOw8IbGzEG1Mj6sRdK7o2m62imWS6rrO8vMzMzAydnZ05fgS3Y3qEuTg1OTlJS0sLZ86cweHIlO7UKy9cDtm542yz9/Hx8YKP34wrCALYbhp9t7hlLi9G+JsrBrKaZHB4a5RaLCpTFIWEc5HvvOlHCyURDJX3D9u4evWqFREXWrTbbXZTdP3RNBOBFD5HpgzNaZNYjaSY9sc50lPdnVh+6/O5sVFWwim8dgFZz1RRmG59ZldjviHQTqQe7kZbR9jDoltOeqGYkXk2ptPWzMwM7e3tBc1fdlt0NzY2mJiYwOPxcOrUqRzLumpTA9mUs41su8f9+/eXnTtucdnQjcxoGZskcmkhwkokyZvrAsFwgpi8wD+50FfW7bbNZuNnzw7y4JFeoimVTq8dl00kHo8TiUSKLtpVm7OulnIK+OtF5nMzIMtPwzBArmP0b5dF+q0KCydNTU34/X4OHTqEw+EglUpZKSLTklEQhJyhlvW4GFYyqqchuncApUb2ZN+2t7W1WZFkIerlNFZqO8FgkPHxcex2O8ePH98yPBDqsxCznSjlpzMqWTgUBIHuJgfvP9HFt99YQ9MNlsNJzg204JR0ZEVkyh9nOZSkr7V879MOr50O760TOL+u1TAMa9BlNBolGAwSDoe5ePFi2Yt2tbCbkW6r28a5/W5eWEyQ0lV03eDkAd8Wu8l6Y7YBm63PTqczx1Aqf2qEeTGsZepzuTndeDy+Z7x0YQ+LbjmRbqHqBcMwWF1dZXp6mpaWFu69996Sxi/1jHQL7VMkErFu101/hJ2kWKTr9/uZmJigqalp24tQKc4PtnKsx8dGLM0f/WiWJqeMoqQzfzOhpunvBREEAYfDgcPhoKOjg2g0ytzcHIcPHy570S77eAolFL720hJTG3H6W518/NwBWt3FfYZ3U3QFQeDxU80c6fawkpQYaHPx/hPdO16/XKoNuNDUCPNiaP4NslufC0XF+Z+hqqolz00zeLgdvhDVsmdFF7YvuM8XyuwcaXNzc0W2hvUU3WQyaf0/FosxMTFBOp3m4MGDWxYD1iMp4mmNZpeNlm1O+krJr9MNhULcuHEDu93OyZMnt8y+Kpds8fE5ZbwOiVN9zby2EMIlG/jjGofaHfTsUp1tJYt2ZoOBy+3hP7+4yWJEoclp4+JciMVgkv/1/YetPHWh972bCBi8+3BrXaxLy6Wa1uPsi2E1U58VRSm7YmgvdTzuadHdDrNO1zAM/H4/k5OT+Hy+LTnScijm7FUp2dMjJiYmiMVijI6O5hyQJhdnN3l2KoAoCAjAT491M9JZn+J0M9KNxWKMj4+jqiqHDx+uuKsnP8LLP/AFQeDDp3vo9Nq4vhyiU5R5/IG+upd7GYbBZjxzB7FdRGruU7FFu2g0yvRqkMm1MF5JJ6EI2GWJ2fUUb86tcmR/e8E85W5GunB7rB2hfsJWbuvzxsYG6+vrOYum+Xcmqqrese3JxbhrRVcURVKpFC+++CIej6emCK5eka6u66yvr7OxscHIyAidnZ0FD+TNeJrnpgI0O23cWIuyEUlxYzXKpx89Qour9pV6RVGIxWJcvnyZgwcPFhT9UuSb9xQ7IW2SyDuPdHKhz830dBKvo76HnKLp/Jdn53l5LggInOj18fHTlb8fs8FAs3lwuUO0euwIwk0xVlNEQyGuBFe2LNp5vd4tzQo7ze0S3Z0mv/X5ypUr9Pf3I4piwanPs7OzjI+P43Q6icfjFZ/f8/PzfOITn2BlZQVRFPnUpz7Fr/3ar+3YxAiTPS26xdIL5uq/oiicOXOm4IJUJdQquqbH7srKCg6Hg/vuu2/bk3RiLcb8ZgJ/JIgkiXjsEmuRFH/18hKffGAAqC66UlWV6elp1tbWkCSJ8+fPVy0WZrRcSevxTvD9a35enAmyrylzMbq0EKbbI3Cyyj6Wdo+Nt4+28dSNDSRRQNMN3naoiwv3DFjHW/ai3fr6OoFAgHg8TlNT044v2sHdK7r5aJqGzWazPIvzpz4LgsDLL7/M2toajzzyCKlUii996Us8/PDDZW1flmV+//d/n3vvvZdIJMKZM2d417vexZe//OUdmRhhvW7dtnQHEAgErDrCsbExXn/99ZoFF6oX3Wwnsv7+fu655x6mp6e3FaBX54J878015gNxlkIpepociAJ0+xwEYmkiSdWak1bubZWu68zNzbG4uGi1Dj///PM1CWGlBjY75ac7HYjjsonWe/E4JGYCyapFVxAEPnmhjyPdXuaDSfY3O3hguC0nos9etAO4fPmyZTVa6aJdNex2ZH27LDm3Kxmz2WycPn0ayKxJfPnLX664hn3fvn2WSbnP5+Po0aMsLi7u2MQIkz0tuuaBZ46isdlsHDt2bEs5Ua0HaKUlY7quMz8/z8LCQo4TWSKR2HY7um7wD+N++lpdeOwyf/vGCv5omlaPnSM9PkJJFVkSLA+HUqJrGAZLS0vMzMzQ09NTlUlPMUwRNQzDGjNezuPrzf5mJy/Nhqxtx9Ma+5s8QKLqbYqCwE+MlD+m3DAMaxGokkU7U4w9Hk9FkWs964Kvr0b51uVVBEHg0ZPdjBZYN9jtnLVJOcd4toG5JElVH98zMzO8+uqrOzoxwmRPi24oFOLatWtIklSw1MoUy1pv88qNdLNbiHt6erbUuJYSb90w0AyQxEy964XhNi4vhuhw2wnEFR4cacPrkEs2N2RXalQz7bccRFFkJZTgzy5O44+mcdhEPnZvD0d6Cpe77ZTovvtoJ9dWY9xYiyEAI50efupIG/6Vxbq/VjGKiVKpRTtzwchs4jGd2kp12tUrvfDGUoRf+6srpFUdA3jyyhr/+aPHOdyde5twOw3MS4l9PVqAo9EoH/rQh/iP//E/1mQRWS57WnR1XefQoUNFPyizgmGnRdes/Z2amqKjo6OoyJXajnxzTtblxTBtHjutbhtnB1p5+HAHPU1OhjoyUch24h0MBrlx4wYul6uqSo1yDk+4UQAAIABJREFUMYAvv7BAPA37mp3E0ypfeWGB33rXaE3lbfG0xpNX1pgLJBhsd/HesS6ctuInvNMm8a8eGWYplMQwoLfFSSIWrfr1K2E5lOTJK2vMzCf4YEuU0wPlRceFXMHMMqrtOu3M5oJ6ie6fvrCAoup4bo5ciqc1vnZxiU+/71DO4+7kqRG1iq6iKHzoQx/i53/+5/ngBz8IsGMTI0z2tOi2tbVtL2J1qjoo1sFllqNNTEzQ3NxcsqGgnGjvHYc7cdslpv1xBjs8PHSwnVZ3roAXinSj0ag1Afno0aM73mCR1gT80TR9bZmoSEYnEo0xvrDKyYHOLcXu5bx3TTf4T/8ww421GB67xNWVKDMbCX79HUOI20Q8kihs6XDb6dvhlXCKf/3f3iSW0kinVN747hT/5t0C5warW+UuVEZVaNEuHo+TSCSYnJzMWbirJrBIqTrZPRWCkJmBl8/tEN1y74qCwSD79++v+jV+8Rd/kaNHj/Ibv/Eb1s93amKEyZ4W3VKUagWuhUAgwPj4OG63u+yIshwhsMsiDx3s4KGDxR+THelm1/weOnRo13rQHbKAXRKJJNKkYmGSqTQIDoxUnGvXrpFKpawWUJ/Ph9PpLOn3sBZJMbEeo8eXEWyfQ+LaapT1SPqOMy5/6ob/ph+Eg4iRAkngG68sVy26hSi0aAdw8eJF9u3bRzwer2nR7tGT3by+GCalZv4uoiDw/hNbRy/djknA5Ubz4XCYsbGxql7jmWee4atf/SonTpzg1KlTAHzmM5/hiSee2JGJESZ7WnSrbQWuhVAoxPj4OLIsMzY2VrPHbjWIokg6neb69etsbGwwOjpatOZ3O2pZIJFEgYf36fzVG2u4PV7sHg8/e6Sdc0c6rceYxiiRSIS1tTUikQgvv/zylkUkM4oSBFB1g2hawyGL2G6GYXfghB4UzSDTtpL5HCVBIK3t3oj5lpaWoqblhRbtTCHOXrR75HAHiqbzFy8vIwjw8fv282CBBcTbEelWYnZT7STgBx98sGhEvRMTI0z2tOiWop4jezRN45VXXsEwjG3zyDuNpmmWiI2OjnLo0KGqhLPaycSmubvf7+dgXx+///FjbMQUfA6JNlduZJLdAqqqKpcuXeKee+6xFpHM0TKGYeB2u1lO2VgOxrmRMpBE6PI6ePuh9hyzmzuFB0fa+JvLq4QSCknVQBJ13jPWWfqJdaJQ9181i3bnery846NHt11ovR3j18sV+r3mpQt7XHRLCUY9RvbE43EmJiZIpVIcO3asqu6tfGoRu7m5Oex2O4cOHbLKWqqh0uYGsyJiYmKCjo4Ourq66OnpodnroN3rsPKPxTDfryzLtLS05Jwouq4zvbLJn3x7kmY7eCWdWFonmdK5v0PB7/fj8/nqUuNaL4Y73Hz6fYf485eXWFpN8pEHBnjXkd3zQiiXWhftBEG4oyPdvealC3tcdEshy3JFRubZJJNJJicniUQijI6Okkql6pJKMMWu3IM4vzLi3LlzLCws1Fx+VYkvr2mI43A4OH36NC6Xi6tXr1bk67vdQtrcZpLPPbXIfETFLol4HQ7ODjexHkliyE4ikQhLS0ukUimrHta8Xa7EKrDeHNvn43d/5jAvvRTmvqO7F+XWSiWLdqKYmY1ms9kIBoM72mmXTUN09yjVpBfS6TRTU1MEAgFGRkY4duwYgiCwsLCAqqpV2x2amItg5YiuuVjn9XpzLCjrZWReSrgTiQQ3btxAUZQthjj17Ej785eXkERuli4ZRFIqC8EEbofMof4eml23StBMU5RIJILf77eEIVuIb1cH1V6m2KKdpmlMTU2RTqd3vNMum3JFNxqN3pZ1lVrY06Jbz/SCqqrMzMywurrK0NAQhw8fztn+bhmZQ2ZxYHx8HEmSCpqZm23AtbCdcCuKYl14Dh48WNBCsJCIVpv7CyZUPHaJw10erq/FUFWdaErjX/7kUI7gwlZTFMBqvzWn3oZCIVKpFLqu5whDPRpE0qpOJKXS4rLtuIdtLeiGwbWVKLG0xqEuz5bPsVwkScJut+Pz+ejp6QGqW7SrlHJEdy966cIeF12ozFO3EJqmMTc3x9LS0rYjzXdjZE92/vjQoUNFV2VFUaw5V53vqQu5Hg0DAwPbLtKZuT7IHPy6rmMYRs5+mZMGzO/FOH2gie9cXaPL5+Bot4eNmMJvvmuEk/vLW6zM982NRCLMz8/T39+/ZZKBw+GwRMEsZSs3Qnt6MsAfPDWNphu0um38+/ceyhprc+eg6Qb/9m+u88JMEEkUsMsC//uHx6q2Bs2/M9upTrv816xkYsleYs+L7nZsV6ebPQOst7e3pC/BTopu9qRd02pxuwOp3nPSzBE9U1NTZXk0KJrOdydiXPaH8LpX+NmT3Tww3IbNZssRYPPfmqahqqr1b/O9mRe3D57qIanqPDe1iUMW+ZW3DZQtuIUwFyrNkzw7QjOn3kYiEVZWVkgmk8iynCPEhfLEK+Ek/9sPpnHaRByySCih8rt/O87//XMnqt7Pat9bKX5ww8/z05vY5czFLpbU+A/fmeD/+YV7qnrNcu9g6rFoZ1LO1IjdNv6pF3tedEtFuvkRYbYJTHd3d9kzwGRZrnt6ITulMTw8bE3arWQb1WKKbiAQ4MaNGzQ1NZXt0fDk5RWen4/T4RaRDI2vvrBIp89p9exnn6CaprG0tMT8/Dx9fX2WEJu/g8zf8ONn9/EL9/XW7VaxmBdC9tRbE0VRrAWk2dlZ4vG4NWjRFOOZQGZfzTHnTS4ZfzRNJFX7MZHN05MB/ttrK4iiwMfO9nJvX+7dTjmVL8uhFKpu4Lj5OJssshRKbvuc7aileqHSRTvzsbFYrGRXZSQS2fHOy51gz4vudmQvFmVXARSb+rsdkiTVdU7a7OwsCwsLHDhwoOxJuyb1iHQ1TePatWvY7XZOnDhRlgWm+Vm+Oh9kX5sX1BTpRIxoJM3fPncJ/XCbNSfL6/USDAaZmJigra2Nc+fO5VzczGg4+7u5X5ARSPNrp3N2NputYJ44FosRiURYXV1lfSVMLJZEUEXsNhnFEHDIkuVbUA9+PLHBp5+8Ndr+0kKYL3zwKP9/e98d3mZ5dn9ebcmyvKdsx3skzvIIgULIV0ZKWlIaRhn9oE0DlKsh4QNSAnSEwkcClBQK/VFoQ9izUKCBBPhIw0xsZ09vO17y1t7v+P2hPG9eyZIs2fKIo3NdXFxxFOl5Zem8z3Pf55x7vmDXH4rMryg1BhIxBZblQFEeu29F9thPDpGWjAVr2pHyhMViQWtrK1pbWwM27QwGw1mn0QVmAOmOdtcXJm5pNJqQBlH6w3jkZ8K12Gw26HQ6aLXasCbtCjGena7T6URzczOGh4eRl5eH3NzckP4dIUaWZRGvlGLI6kLyaTWDXWRHeUk6MjLkMJvNaGtrg16vB+DJx5DL5fyuhFwvIQ7hl1lIwKQUcaLXilPDdiTGSFE9Kx5SsWhSiFgsFkOj0fCKjZISwKTswrsHekC7WbAsgxtLKeyrq+XlhYQUlErlmI697x3sBQVAeZrILU4aHx3pC5t0F+fG46YqLV6r64aIopCXpMRvfxDEVz4KJkunK6zN6/V65OfnQ6lUejXtenp64HA4sGvXLpw4cQJGoxEHDx7E7Nmzw1YWrVq1Ctu3b0dqaiqOHTsGABM+NQKYAaQbDHq9nie58YzrATykSxoD4YLjOAwNDaGpqQkikQizZs0Kmez8YSw7XVLK6O/vR35+Pt9pHg1CEgQ8N7mVCzOw5YtWPtkrJ1GF7xUmQ8wx0Ol0cLvdqKioQGxsLF8/7evrQ3NzMxiG4RsrGo0GsbGx/InDl4i3H+3FG3Xd/DpqTxnx64tyIBZRoGka3UYnXq7pxoDFjTmZsbh5kRZqReQGePripkVZuKgwCcM2N7LiFUhWyzzrqq1FXFwcf512u52fjhtOZq5YRMG3UCb2Ie9QSJeiKKz+Xg6ur8qE3cUgSS0LGhg0GqbSHBGoaZefn48333wTn376Kf7yl7/g+PHjePHFF1FeXh7ya/z85z/HmjVrcPPNN/M/27x584ROjQBmKOkSyZVIJIJSqUR5efm4d0Zj3V0KjQXz58/H8PDwuEsD4ayF4zh0d3fj1KlTyMrKwuLFiyESiWA2m0fN5PUlW7J708Yr8dsritAyYINUTKEoRYXerg5ebiesTQt3i+R5bTYbTCYThoaG0N7eDpfLBYVCwZNwbGwsRFIZ3tnfg2S1DFKxp0x0VGdFj4VBQbIKJgeNTZ+3weFmoJSK8VXTEPQ2F35zSR7cbrfX2iO5K85JVHopFsiuOzk52euoHKiTL6wTC3f+AHB9VSaO9JhhdTLgwEEqFuEnC9K9Xj8cF6FaLonITLqpGA80mmQsOTkZubm5WLJkCR5++OExvcaSJUvQ3t7u9bOJnhoBzADSFR7jLBYLmpubQdM0ioqKEBcXh3379vHd0vEgXPUCmbTLMIyXscBoNI5b7hXKTlcYO0lqqlLpmV1goOfwVR8IyVaIBJUMlTlS9PX14fCBE8jIyMCiRYtC2oXFxMQgJiaGtzETVYHZbOZ1n3qLHSYzDTknBSOVQSKVgALgcHsIoG3IDrubRVKM5/cql4pwTGdFV28/+nu6kJubC4ZhRgzPnMw6sW8nn2EYvpPf39+P1tZW3mgQGxuLPLUajywvwCcnhyARi3D1gnSUpXufRqaiYz9V0Y6j/Y7GE3YTCBM9NQKYAaQLeJxTzc3NsNlsKCoq8mqIELKcLNIl9T2LxTJiLUBkGnKj7XSFu+tAsZO+pEuaZEKiCvahNxgMaGpqQmxsLCorK8dlPBCqCsgRkuM4fGtqwLFuI2I4N8wmG8RgMXyqHvVmDYxOKdw0DZaTQESJ4HTRcNiscNltqK6u5m8w06lhR0oOwo47MRqYzWYYjUbIzWb8MNUFmUwGmbUPfX02L0lVJEf1hIPpKM0yGAxeKpSzBWc96er1ehw7dgyFhYVITk4e8eGYDFMD4DlOtrW1YXBw0Ms+HO7zhIJAu1S73Y6mpia4XK4Rtt1gzyEsJQhJyB/IazAMg9mzZ0dk8Kc/UBSF/7m0EC/t7US9zoy8dAVWXZCN1BgJLBYLZAYjslUs6nv14FgOoICV5YnIzEj3IqVQGnZTScTCmqVw2q0wFpNIqog7zO12w2QyecVinoswmUwoLCyM6HNO9NQIYAaQbkJCAhYvXhyQJCKRNAYEJm+hoy0nJ4evmQZCJEjX1wYstO2SbN3RQEiXYRi/dVtfkDHy5DUikbY2GtRyCdZcnDfi5wkJCdBoNLiDZbHrhA6y2CQUpcUiN9ajwbZYLGBZlq+fklox2f2ORsT+dsTk3/kaOyYq50EYi0lA0zR0Oh0GBga8YjFjYmK8JFXCMtLZiFDf04kIu5noqRHADCDdYEQBTNxOV2iyyMjICHnSbiRIlxwzw7HtCkHKB729vaAoChqNBjExMX7/LYmU7OrqQk5ODgoLC6f0qEkkgMQ9d+sP/WuciRPKZDLxj3e73bxygpAxKTsFImLgTMnFl4wJORBL9UTviiUSCVQqFeLi4lBQUMCv0Wq18iaDtrY23s0lbNhNp1jM0RBOwth4dLo33HADdu/ejcHBQWRlZeGhhx6a8KkRwAwh3WCIFOmS1xHqfv01qEZDJEiXZBzs3bsXaWlpIRO+cCeXkpICqVQKs9mM1tZW/vgq3Bna7Xa0trYiJSUF1dXVkxLpFwxmsxmNjY1QKBRYuHBh0Dp9ICcUqZ8aDAZ0dnbC6XRCLpd7KSeIzpaQqJBMCemyLAun04mWlhaoVCowDDMp5QlfcheJRPy6AzUm/cVikuscbX1Tkdg2WbGOb775pt+fT+TUCGAGkO5okEql4zY1ENA0jdraWsTExGDhwoVjMlmMl3T1ej0aGxtB0zQWL14ccoOQ4zivJplEIvErcyKRiU1NTWBZFiqVCgarAy1H2qGOUWFBbgpU8sk9vpJsCjIHbqxTO/zVTzmOg9PphNls5vMYbDYbpFKp146Y5DGQskxPTw+6u7uRn5+P1NRUr52wvx0xKU2Ml4hD1en6NiYBeFlvA8ViqtXqETbu6To1YiLUC5OBs550Q9npjtXUQGA2m/kGVUVFxbjyO8dKumTaL0VRKC8vx+HDh0Mi3GB6W1+wLAudTgeHw4GFCxdCo9Gg12DDozsaMGw1g6ZpxEubcUOZHCnxZwjJ94saKZBQou7u7hH630iBoigoFAooFIoReQwmk4l32FmtVohEIshkMpjNZiQmJnqpNsi6wmnYAd5JbKFgPGUMmUyGpKSkEXViYnfW6XRe9XC1Wh1WClukEOpO12w2R0l3qhAs9GY8jTQiRbPb7SgqKoLT6RyXqw0In3SJbddisYQ17TccsmUYBqdOneLdasIhlx8dG4CDFSE31VM76zHaMaxMxQKtmtfUms1mAOB3TOSoPh4iHhoa4kcDLVq0aNJ3W1Kp1IugnE4nGhoa4HA4kJmZCYfDgYMHDwLwGB6E5YlQrc6+SWzA6SGXYvGIhp3w30eyZCGRSLxiMclrED3x8PAwLBYLamtroVAovHbFE0XIoZLuVMxuiwRmBOkGw3imR+j1ei8pGiHM8XzoQ/2QMgzjlUDmT4LmL3EqHLLlOA46nQ6nTp2CVqsdYW7gOA6HuwxoG7Si2+BATqICcokYBgfj94tK/PE6nQ6NjY38jklISKPVv202GxobGyESiTBv3ryQRttPJFiWRWdnJ3Q6HQoKCkYoQ8h1B7I6k5tQIKszeQ4geMOOlDYYhplwdYKwHk4mcZSVlXnFYpITUSixmOEinADzsxEzgnTHG2ROQIiut7cXubm5I6ZHkOeayA+90Lar1WoDStB8Z62F6iQj0Ov1aGpqQlxcHKqqqvxe0zctQ+gcdsDhZsFxwHGdGRkaBWZnjIzTE4lEIyy/pLNOHFhk1ItKpfIiYplMBpqm+aCcoqKiKZ17NWBx4vHPmtHUZ0a6zIU1F2aiurra767K33ULrc7Dw8M4deqUl9W53kDhgM6JZI0CP63UIjHGm5AJyM2T/G6dTif0ej1SU1PhdrsnRU9MPmNjjcUkuRPhNGFDqekKlSNnG2YE6QZDKOUF4aRdrVY74dMj/GE0264vhKTr2yQL9gW02WxoavLEB86ZMyeouWFPqx65ySqoLS7ojA6wLIf8ZBUWzQpNpiPsrGdmZvLXSQhpcHAQbW1tsNlsoGkaiYmJyMvLmzDDRShwuBncvO0AOg0OUABaAAx+pcc7xQUhP0cwq/PTXzTjncOD4ABIKOD9fR3YfFkaMpPj+IadsLRA4kn7+vrQ1taG7OxspKenB90RR5KIRyPA0WIxe3t7+ZwPlUrlpZ4I5GIMJcDcYrGclVm6wDlAusFqqMKM3ZSUlFGjFiMVZO4Lk8mEhoaGoLZdXwhLHaGaG1pbW2E0GkPeSSplEjAsh8KUGBQkq6AzOlE9K2FcuwshISmVShiNRqSlpSE9PR12ux0GgwEdHR0jQnCIpnYidzYsy2JHXQM6DQ6IKZLHzKKh14LGXgtK/ezwQwVFUfi63YzXDg6C4wCKAlgRBRtD4bhBhES1w8t5JizHdHZ2QqlUBrRbh2PsCJeIx6Je8I3FJGskcj29Xu/1OxbWiZVKZUjlBaPROGYVy1RjRpBusC9ioL8jUYsajQaVlZUhKQEiFWROyiEOhwNNTU1wOp2j2naFIDuajo4OJCYmjkirEkKoAAjHQAEAV85Nw8les2eXywFxSgkuLg7sRHPSDL5pHsawzYXiVDXmZ/nvLJPrpmnaa7cdFxc3YrQO0Zp2dXWN0NRqNJqINXPI58FOq0FRgIgMnaQogOJgcIzf1fjUrlbgNOGC88wyczGAXBWDvDwt/ziinDh16hRMJhM/dop8XgkhEzKciIYdQaQkYyKRiL/ZEhC5nrAmbrfb4XK5YLPZ4HQ6A8ZiGo3Gs1K5AMwQ0g0HJpMJjY2NkEgkIU9MIIik0aK+vh4GgyFgZoQ/CJtkhYWFGB4ehk6n4zW1wsaNWq3G8PAwWltbkZqaOiYFQG6SCr+9ohiHu4yQikWozIlDgsr/kdDNsHh0RxP2tOlhddGQiES49cJZ+NmiLP4xQpUEue5g75G/EByiqSUNO7vdDplM5kVGvvO2goGMmacoCgsWLEAZJ8bj3wzBSbMQURwoADFyCUrTx3+UtbkYKGUi2N0sQAEc58nQPT/POxSJRJOmp6djwYIFfAONkNN4rM7k/8ECgISmkInU6QrlesLPwtGjR5GcnAy32+03FtNisaC7u/usnBoBzBDSDeULZrVa0dzcDLfbzcc+hovx7nSJbddsNvNOsnDIVtgkIyJ/4XMT9cCpU6cwNDQEkUiExMRESCQSfnJDuF+gzDgFMuNGN4Gc0JnxXaseRrsLErEYDjeDv/ynFctmpyA5RsZHGWZmZoYUAekPgTS1LpeL19SS3RLpqhMy8rU5C28AZBgoAPx9dxs0cjH0DAuWA0QiYNOPSxE/xhHmQlxUkIRdjYMARcHhZiARUXj4yhI+n9fpdPKqjwULFnjVNX0nHgOhWZ2FFmB/DjvyPMLPFyFghmHgcDigUCj4gaKTkXDGcRwSEhK8rp/UiS0WCz7++GO8++67GB4exsDAABYsWIA777xzzOWGnTt3Yt26dWAYBqtXr8aGDRsidSl+MSNINxicTiecTieOHDmCoqKioLur0TDWmq6wdpyWlobk5GSkpqaGTLihNMlEIhHEEinae4fBMTSqq6sRExPjNeaE7I7UajVfcxuvnpbARbMw2N1QSD1HVrFIBJuLwd7GXmSwA1CpVOOOgAwEmUzm111HiNi3Vgp4ygm+NwCW4/DvI71IjJEhWS0DzXJwuJlxTV0Q4v4fFEEs9jQoNQoV7r20AOflJYDjOHR2dqKnp8evLC0QwrU6C29CwpFCpGEnhNvtRktLC8xmMzIyMia8YSeEv5qusE587733IjMzE3q9HitXrsShQ4fG/LliGAa//vWv8fnnnyMrKwvV1dVYsWIFZs+eHYlL8YsZS7pEgjQwMMBPbRivsWEsc9KIbZfkzsrlchw9enRU8g5Hb0vTNI42tuLve3thp5SQyKQYlJtx1Xy134aGxWJBq24Yn5xogdPhQFG8CDnJseMi4qI0NcQiCi6ahUQsAs2wkIs49PfpsPTCOZPeafY1NwCeY3t9fT04joNarfYMnBwYOJNxK1Nh2OpGr8kBiUiENI08YoQLACqZGBt/WOr1M6PRiIaGBiQkJASUpYWDSFidiYomKyvLSzY5kQ07IUIpaRiNRiQmJqK4uBjFxcVjfq3a2loUFhYiPz8fAHD99dfjww8/jJLuaBCSERGzd3V1ITs7G4sXL8axY8ciojoIp6ZrtVrR2NgIwCPNEu5GRlNUhGNu6OnpQUdHB/7TrwQt1yBbowDNcnh7fw+cNIcLCxKRlXBGDSESiWBmpfj7QRPsLjFAxaDeTmFdQRpElNPL2BDOjjheKcUdS3Lx/NftcNMMJGBRlBqDa5cuRGwEjubjAcMwaGtrw9DQ0AhXH8MwfI344e31YFkGLOfZuXfq7ShIUmK+NvQbRpfejt/9ux6tgzZkxSvwxytLUZAysm9AdpIWiwWzZ88el7V8NASzOpNrb2trg8VigdPphFgsRnZ2NmJjY7204BPZsPO35mAwmUzIHcecQYLu7m5kZ2fzf87KykJNTc24nzcYZgTpAmfcVW1tbUhPT/eSf0UqUzcUCy9JnjKbzQFtu/6eJxyyBYCGjl4ca2rHrNR4VFVV4Z8fNiJR5Rls2DZow6lhO9490I3djYNYdUEOFuWeWcfnJwfgZjhkxHsUGwNmJ77psGH192bxjwnkMAtGxFfky0EPUuhxqzErIwUr5mVAM4WEK0yE02q1qK6uHvGlF4vFiI+PhyYuDo2GTqRpFLC4GNjdnmP00mwxGo8f9rp2X7svgYthsebtoxgwOyGTitA+bMeat4/in7dVIUYm4dfU29uL9vZ2zJo1a4QBZzJBNLYJCQl8+amkpARKpRJmsxldXV2wWCz8ySAcqzP5/0RN7BhvrCOBP1PVRP8+ZgTpOp1O1NTU8Ec03/pOpFQHwZ7H17ZbVlYW8JcnJN1wnWRWqxVvfnkMuzrciFXHQDzgwq3xVmgTFGjqt0AuEUNndEAuESFDo4RaLsYrNV2ozImH+LQMyu5mIBZ8ziViEZy09ySKYA4zo9HoRcQKhQI2mw0KhQLX/9fCKTU3EFitVl77XFFRMaokUERRUMnEYFgOGoUUsXIJHDSLitJ8LCpK4q/dZDKhr6+PV4wI1QPDbomnrn16hLpCSsFBs2gdsGGuVsOvSaFQBHQBTjZsNhtOnjyJmJgYr/hOIaH5XnuoVmd/DbvRRicBoVl8TSZTREg3KysLnZ2d/J+7urp4I89EYUaQrlwuDxq1OJGkG6ptVwhCuuE4yUgeRNegEXsGJMjN0EAqFsHuZvDid53YsKwQz+5uR8ewDW6GxaxEFRJjPF9qt80NF8NCKfKQwfl5CahrN8DsoEFRHhfW+XmjmyWEDjPgzBFZr9cjJSUFNE3j+PHjIe0KJwpCO3FxcXFYX8z/uSQfmz9thoOmIaaAsvRYXJDveV98rx0YqR7oGjDA4XRBIqIgFotAgQIDCjEyEVpaWvjyxljIwuZi8EXDAKxOBovzEpCbNL7+BMuyvHqjpKQk6Jr8XftoVmfyeKGOerTyBMMw6Orqglwu50+mgXbEkZoaUV1djaamJrS1tUGr1eKtt97CG2+8Me7nDYYZQboikSiobXCiygsDAwMh23Z9n8dms43wz/sDkZnpdDrk5eVBnJgFeWcLpKe3qkqpGCYHDYVUjI0/KkZTnxVP/6cVMXIxOHhyBPKSVVBIznxgF2TH4/Yludh53DPp9IYqLSpyQicCcqPp7Oz0e0QW7ox6e3v5XeFEErHQKku60OEeEy8vS0V2ghJHu82IV0kCkF9gAAAgAElEQVSwtDiZf5/9wVc9UFICnKRb8fa+bl7nW5lCofVwDVQqJdLS0uB2u3k1QaiwumjcuPUAdCaPSUVMAc/+dC6qc8dGOkajEfX19UhNTfVbcgkFwazOpGHX3d0Nh8MBmUw2omHnS8R2ux0nT55EQkIC5s2bx0/jCNSw6+vri8hOVyKR4Nlnn8WyZcvAMAxWrVqFOXPmjPt5g4EaZSt/1kT5BFMV9Pb2wmq18iNOxgqWZVFTU4M5c+bwR9eioqKQk7DIB8hisfAZrWKxGHKVGg6RCknxschLi+f99v39/Whra0NaWhpycnIgFothtLvx249OQioWYdjmxoDZiViFBC/cOJ+vn7YMWPHing4MWlwoSVNj1fk5iFdF5ig7PDyM5uZmJCQkIC8vL2TiFBIxkXJFiogtFgsaGhqgVCpRWFg4IbK0UMFxHPa26dHYawKsg5ifIkFJSQk4juObVmazGU6nkx+pQ8o4gWzOr9V24aldLWBZz4mIYTnkJCrx0R3nhbU2mqbR3NwMq9WK0tLSSSsDCXXUZrPZS76nVqthsVhgNBpRVlYWUGtLiNfhcGDLli145ZVXcOLEielsBQ54x58xpOtyuQLWggYHBzE0NISSkpJxvYbdbsd3330HjUYTtm03UJOsa9iCv+xqgcHqgNPlRlk8cHGWGG63GzExMSgsLIRGo/H6Mh7vMWLDB/UYtrqgkIqRGa9AeaYG91yaD4lPNGOkmgJkCjDLsiguLh63/A4ITsRCTWkgIqZpGi0tLTCZTCguLp4WtlBiuz7W2gVpQiZmz0qDNn7kTZnIuMh1m0wmOBwOv3raZ3a34R/fdkAqPi3d4jjEKqT46u7vhbwucirLyclBZmbmlKdz0TTNa9fJCZGiqBE3YWEp4tChQ1i3bh1WrFiBDRs2TIuaeBAEfINnRHlhNIy3vCCctiuRSFBVVRWysUHYOPBXRnj3YD84kRQF6Sq43G6c1OlRmCTG4uJsfgKvzWbjra4ajQYJciUy4uSYkxEL2emyQeugFTqjE9kCeVgkvlhCuVWkpwALa4VarSd7IFhpIjY2Fj0OCZ7f24cBkx05KgZ3/VcuqqpCz5MQ4mi3CQ993IB+iwulaWr88coSpGvCH8FEQDS3R4xybD3IQCzuAs104u5LC3BdhXdzRijjEo7UERIxsTknukWQigCGZUGBgkhEhVSDJ8/X0NAAiqJCaihOBkg9eXh4GAsXLuTLM0KrM2nU6nQ6bNu2DRKJBO3t7Xj++edx0UUXTfEVjA8zhnQjlakrhFDzS8Ji9uzZE1EnWZ/ZgVi5CHqDAQ6HA0qFChmz8pCV5e3HJ0c0k8mEroFuGAxmSFxiyOUySCVSsAw8Zv4IQShtIjXSybCABiPiFt0Q/vBJM9w0A6mYwkm9CM9814eHE8IvTQxZXbj7veNw0SzkEhFO9ppxzz+P49VfVIRtiHC73WhubobNZkNWfgnWvngEDMuBg2dXuuX/WrC0KAmpsaMTnlwuR0pKipeettLlAqM8hf/3bQ+cDIvZCRR+lO4pqfgaGwiEdffCwsKQXW4TDVJPTktLQ2Vlpdea/Vmd6+rqYLPZkJ2djcsvvxy///3v8ZOf/ARr166diuVHBDOGdIMh3J2ur23XN/Ix2LE93JlkyVIaRzr1yE6ORVJKKvrNLqRpRn45hVbXvDwOJ12nUNM2DIZhYbE4kBXDoqP+EAaVSn5HLBwxHg6MRqOXi24qa6TAmUbp0S4DaIZDkiYGIrEYDE3jxIADXT062K1nJFxCHXEgIm7os4BlOSiknuOrUipGl8EBg83Nh4qPBuGNKTc3F6WlpWgesPLSPMAjRZOIKOiMjpBI1x9kMhluuagIt1xUxH/2fI0NZIYbyVro7+9HfHz8tJjiDHh2sSRatLy8fNR6stPpxObNm/HNN9/g+eefR3l5+SStdOIx9b+NCCHY7jOcnS6x7arVar+Rj0TB4PtBDtfcMDg4iJaWFlyalwBWkoEekws2qxs/WZCOQj8OJiEoisKqC3KQn6zyOJ8SFLi0NAUysQgOhwMmk8krl1Z5mojj4uKChkeTeWwOhwNlZWUT6pIKFULXXXJcCuQKh8dqCoClRIiRy1A+u4zvdgfS0voScZxCCobjID5NYuzpQ4JKFpoN12q1or6+HiqVyktzmxmnAAWAZjlIRJ6ml4iivMo+4wH5TPkLD3e5XGhqakJ3dzdiYmJgMBhw4MABrzrpRA0RDQaDwYD6+npkZmaisrJy1JPi/v37cdddd+Haa6/Fl19+OS1uGpHEzLqaACBqgGAgtl2O40bYdoUgoTfkgxAu2ZKpvjKZDPPnz4dCocC8Mg4mBw25RASlNLQvhFQswmVlqSN+TuIQhb57u90Ok8mEoaEhtLW1gaZpfmSORqNBTEwMdDodent7RwymnEqQcHeNRuOpo4vF2HXKiSPdJj4Wce1/5XnJj/xpaf0RsUqlQkW6HPt6HKf/LYVfX5zH73wDgdS4h4eHUVJSMqJ5FyOX4E9Xz8G97x0Hy3GgOWBhtgZfNQ9hxbz0iGY5CGEwGNDQ0IC0tDSUlZXxx3ZSJyWZxBaLBUBkh4gGAsMwaGpqgtVqxfz580dV+TgcDmzatAl79uzBK6+8MuHSranCjFEv0DQd1KL73Xff4YILLhjxc5fLhebmZr4DLtw5+MOhQ4dQVFQElUo1apNMCGIPttlsY46WjBSEwvbe3l7o9XpIJBLEx8cjLi5u1KP5RIP8Tux2O0pKSrxugG6GxdfNw9Db3ChNU2NOZvhBOryzzmTCV40D0OmtyIyhUJ55hoQ0Gs2I6ydBMJmZmcjKygpa47a7aKx5+xgOdxvhpjnIpSJ8vyQZm6+KbJAKqSfb7XaUlpaGpCoRWryJjCsc1UgoGB4eRmNjI7KysqDVake9idfV1eHuu+/GT3/6U9x9990zYXc78yVjDMMELSH4kq5wCGV+fj7S09ND2t0dO3YMWVlZ/JTU0ciWYRh0dHSgr68PeXl5IUc6TjTIjlsul/PaVqF8y2QyTVgMZCAImz95eXlIS0ubtPdKOESTkBHDMPxYIb1eD6lUitLS0lHndwFA84AVN764HzTD8U1esYjCB79aBG382BUSQpBhn7NmzUJGRsa43qtA1y8cIqrRaEaVabndbn4aSllZ2ajvld1ux6OPPoq6ujo8//zzKCsrG/M1TDOc25IxAHzNj6IoL9tuoCGU/sBxHKRSKVpbW5GUlIS4uLiAZQhhk2U8wd2BnntPqx7HdCYkqmS4fHYKNIrQNIvCnFRfbStxVxHvufBoLsxaEAr6I1UjNBgMaGxs5PMzJnun42+IJk3TaG1thU6ng1qthtvtxqFDh7zGyvvbEQOA3cVALKLACCItxCJPePl44XA40NDQALFYHLFGZ6AhooSIyRBREpIuvH7y+oODg2hqakJubm5Im5iamhrce++9uPHGG7Fr166ZsLsNCTNmp8uybFCFwr59+6DVatHe3o7ExETk5+eHLK4W1m1ZluV3AyaTiXeVkUaVRqPhG1KxsbHIz8+PePd/+9FevLWvBwqpCC6GRXqsHBt/VBq0CUQmHnd1dYX8pQj0PORoSnZEAEYQcag3GNL8IXPipkNYDnDmJpCUlITc3Fz+xiLMW/DdEQvfAzdHYcVztRi0uAB4tj2Z8Qr86/bqoNbiYOA4jp93J5x2MZkQ9gjI98DpdPLB47m5uUhMTAw6RNRut+ORRx7BgQMH8MILL4zbtDRNMfPLC8FI12QyYd++fYiPj0dZWVnYtt3RmmRkSsHQ0BB6e3tB0zRiY2ORkJDAfwlDOZKGuqZbXz+MWIWE//L2mZy4c2keqgKMRh8aGkJzczOSkpI8+Q0RLhEImzUmkwkWiwUURXmRkO9wQeHAzPz8/GlTdiHHY1IjDeUmEIiIbZQCW4/Y0W1mUJKmxsMrysYsG7NYLDh58iTi4uJQUFAw6QqEQOjv70dzczOys7Mhk8m8iFg4RJSiKCQnJ6Ompgbr16/Hf//3f2Pt2rXT5jomADO/vODvC+twONDY2Ain04n4+HgUFBSERLihOMl8MTQ0BIPBgPLyciQmJvLOIqPRyE+yFUq3QqmPBQLLjrxe1s/N02azoampCRRFYd68eSHfbFwMiyGLCxqlhM+BDQZ/onaGYXgSam9v508EpEHT39+PlJSUMQ3MnAiQPOZTp04hNzc3aDSnL4TBN75H89LsM0TcevwgegWqEeEgyUAQqiVKS0unTdaAy+VCfX09KIpCVVUVf5rzN63CZDJhy5Yt2LVrF8xmM6655hpotVrQND0tfveTjRlDukK43W4v62pycjIaGxtDMkiEE7foO968qKiI/6L6OotIApPRaBwh3SIkrNFoRv0QUhSFS8uS8cmxfsTKxegxOmBzMfj05ABSY+XITVLx8YbDw8MoKioaVZEhROugFY/saILFSYMC8Ksls/BfxaG7mRiWw6u1nfj8xABkEhF+fn42Lp7rCUcn2laHwwGVSsXfqIRmjnAm+Y4GjuPw8bE+1LQZkKaR42fnZfkdMEkCc2JiYiKWc0tyBPwRsclk4ptgNE3jmz4Rdra5IBaJsPp7ObiuyjPJQK/Xo6GhARkZGaiqqpoUR+BoEKa5BXO6EZuzXC5HU1MTDh06hHvuuQfXXHMNDh8+jAMHDkyL65kKzJjyAiE1YtvNycmBVqvlf7EtLS2IiYlBenp6wH8fzpgcYm5ISUnxqvmFu2ZfxYAwpZ/shnw/nAzLYeeJPrx/UIeWAc9YGFCARCTC/1yQCNtgD7Kzs0OS6viu57bXD8PiYqBRSOCiWVicDJ6+rjykicAA8EZdF16t6YJaJgbDcXDSHB65sgSJnCf43HfwIinNkP98cyZIaWYsRPzcV+14s64bLOex5GZo5Hj55wv53TtxSen1er+a28nAewd78L87muA4HSIvEwGr5khQkeL5/OXn5yM5OXlahLs4HA7U19dDKpWiuLh41DVZrVY89NBDOHHiBF544QUUFhZGdD2rVq3C9u3bkZqaimPHjgHwSNV++tOf8i7Bd955h8/d3bRpE7Zu3QqxWIy//OUvWLZsWUTX44Nzo6b71Vdf8STo2wnt6OgARVFe85CA8M0NZrMZ9Q0N6LZLoExIRXZSLMrS1RHbnZFGldFoHFEfJTtiMk78jjePgGFZKKSeVLKOATOunqPBfy8tH9OX1Oyg8YtXDiJJfabxp7e58ZvLCgPWi31x2+uHMWRx8iaDQbMDi1JZXFaagtdOONBlcCAvSYUHflDkN30L8M6ZMJlMsNvtfH1wtBhEApbjcPGWbyEVi3hbrptm8bsfFuOSkhQ+dUur1SI7O3vK6sk3vbgfB7tMXj+bk0jh8R/O4mukvvKtUEsTkQIpvXR0dITUwOM4Dt988w3uu+8+rF69GnfccceElBG++uorqNVq3HzzzTzp/uY3v0FiYiI2bNiAzZs3Q6/X47HHHsOJEydwww03oLa2Fj09Pbj00kvR2Ng4keWNmV/TFYlEOO+88wIeWXwn+YZLtg6HAy0tLbDb7Thqj8f+bhtEPUNguSEsL0/FD8vTInYdvmNyhPVR4rOXSCRw2NygOQpOKw2O46BUKZCVpR3zlzFGLkaMXAKri0GMTAyaYcGyHFJiQ1dfqOVi9Bo5yCSeLreLZpGjzcJf9+thcdJQyyVoG7Jhw79OYuvNCyDz08n3N1KdhGObTCY+HJtMKfCXM8Fxnv98f6UOpwuHDx+eNqlb/hQn6SmJyMvL8/qZv9LEZBAxCRdXKpWoqqoaVdZlsVjwhz/8AY2NjXjvvffGnWEdDEuWLEF7e7vXzz788EPs3r0bAHDLLbdg6dKleOyxx/Dhhx/i+uuvh1wuR15eHgoLC1FbW4vzzz9/wtYXCDOGdAFPQydY0pjVag27SUZMFAMDAygoKAAtU+Plnc3IjFdARFGgWQ6fnujH0qIkxMgn5u0Ui8VISEjwGk/icDjwX4bjeOuoCVKxCDTLIVbuQjKrR38/EBcXFzahiCgKv7msEI/ubITB5gbLcfjZoizMSgw9O/cX52fjN/88Cp3VDqlUCm1iDBbkJOKj44OIPa0l1iik0Nvd6DU6kZMYWnPPd5qtMI/WaDSis7PTq1mp0WhwSXEidjUNn/49sVCKAamhA1lziqdEbuUPv744F/tOGeBkPJ9bpVSEO5bkjXjcaDViMoAzUkQslKeF4tTkOA5ff/01NmzYgNtuuw1//etfp6Rm29fXx0+yyMjIQH+/ZzpKd3c3Fi9ezD8uKysL3d3dk74+YIaRbrB4R5I0FmqTTNjN1mq1vLnh1LANYhF4D72Y8uymXAyLyVCYkokSra2tuLgoE3OK8lB7yoRYhRjfL4yHhLbzPntCQsJG3WhfwDmZsXjuxnnQGZ2IV0r9Jp4FwtDQEKydTXhwaSp6aBUUUgmWFCbB5mbAMBxYloPodAgMw3JQy8d+tPOXR0vq+iaTCXq9HsszbHCZWDQYOGgkLH62IAEXLgjNUTYZMJvNcPc24bHLU1E7IIZIJMK1FZkoSg3tkyQkYgJ/REzT9IjQn2CfAzKsUq1Wo7q6etQjuNlsxu9//3u0trbigw8+QG4ERqNHGlMx9TcQZhTpBgLHcZDJZBgYGIDT6eTlTYFsrWQkTXx8/IhudrpGjnilFANmJzRKKfRWF7ITlIibhFHjZrMZjY2NUCqVvBNpFoDKWcJdSKwXCfkLuxF+Af0pJjQKacgON8BzBG1sbARFUViwYMEIUouHFFfOS8NHR/r4G971VZkhRyiGCoqivAJ/XC4X1Kom2Gw2pKSkwOl04ujRo37fg8l0Q5EGnsFgQGlpKWJjY3F5hJ47GBGbzWa/O2Khs47M4ystLR11BhnHcfjyyy9x//3344477sBzzz035YqEtLQ06HQ6ZGRkQKfT8d+FqZj6GwgzppEGeDrhpEYLjKzbCoNejEajl5sqLi4OUqkU3d3dEIlEfKiNPwxaXHhnfzd6jA7kJatwbUVmWCQVLlwuF1paWmC1WlFcXDwuraZwJ0TeA6FiglibQ/nyMAzDT5QVNlgcbgav1HThZK8ZuYkq/Pz8bGgUEhzoNKLH6EBOghLzsyZOKSA8pfjLcPBVjZBG1WTkTJAgmMzMzClt4AmJmESBWiwWKJVKpKenj6olN5vN+O1vf4uOjg688MILmDVr1iRfgQft7e340Y9+xDfS1q9fj6SkJL6RNjw8jMcffxzHjx/HjTfeyDfSLrnkEjQ1NU1JI21GkS5JGgunScYwDPR6vVeDijRoyAdvrJKl8UKoA57IABir040Xv27F8R4jEmUcvq/loJGLvHaCRDFBQHZM6enpyMnJ4Uma4zjc/+FJHOw0Qib22JRzE1V45vq5fptmkYbFYkF9fT3UajUKCgpCrmcGmtcWqZwJYnd2uVwhBcFMFoSj2EtLSyEWi71s7sJTgclkQnp6Oo4fP44HHngAa9aswS9/+csp293ecMMN2L17NwYHB5GWloaHHnoIV111Fa677jp0dHQgJycH7777Ll+P/t///V+8+OKLkEgkeOqpp3DFFVdM5PLODdJ1u92gaTrkJhkZx9PT0+OVR0AkS0S2RTrlpCwxHjdZqCAxguPRAYcCjuOw8eMG7O8wQikVw+FmkBGnwJ+vLoPLfmZHbLPZIJFIoFQqYTabIZfLUVpaOsLlNmB24uaXDyJWLuZr7FYXgyevLkdp+sSFogs1t5FybkUiZ0IYfDSd7M6AZ7d68uRJJCcnIzc31+91CE+Hr776Kt566y309vbiwgsvxEUXXYRf/vKXXiqTKHjMfMkYADzwwANQq9WoqqpCZWWlV5i1EBzHYWBggB/H42tF9ZUs+brJWltb+ZATYf5sJIiRhKlLJBK/9dFIw2B340CHEYkqKSiKgkomRr/ZifZhJ+ZknlFMMAyD5uZmDA4OIj4+Hq1DDhzctR858Qrkpp3J4fVHKBwA0Th4hmE5HOw0wuZiUJ4ZO6IWTDS3ZJZbpEgtkHyPEHFnZ2fQnAm73Y76+nrI5fKIOd0iAZZlecfi7Nmzg04IoSgKKpUKe/fuxfvvv4/169fjlltuQUtLC/bv3z/lNdyzETNqp9vQ0IC9e/eipqYGBw4cgMvlQnl5OSorK1FdXY05c+Zgz549AIDk5GQUFBSMWafJB2Gf3g2TXZCwLOF7JA8GYl02GAwoLi4etYkRKZgcbty07QDilVKITu9MjXYam39ShrL0WP4G1dLSAq1WC61Wixe+7cBHR/ogFlHgWBZrv5eGgliWPxW82QQcH2IglYjAQYSy9Fg8ec1sr/HwocLFsLj7n8dwvMfsmTcmpvDsT+eiKFUNu93ORxwWFxdPmeaWYRivI7nFYuGVMlqtFhkZGWF9FiYSwsGQwrJQsMc/8MAD6O/vx9/+9rcR5qJI489//jP+8Y9/gKIozJ07F9u2bYPNZgvoMpvGODfKC75wOBw4dOgQ9u7di927d+Obb75BUlISLrnkEpx33nmoqqrCrFmzIna3FpoYjEYjrFYrpFIpT8JEO+vb1CEzwHJycpCZmTnpX86ndrXi/04OQCL26I5L09TYdFUZXA4PqZGgc7lcjpO9Ztz9z+NQy8QQnc6HpSgK799ezZO2yWLF23UdOKEzI0lKY4lWhETNmUZdOKeCfx/txROftUAsAiwuBjTDoSBZiT9dnore3t4pizgMBJPJhPr6el5XTXbFNpuNjwCdiJyJ0SAcDFlWVjZqehrHcfj888/x+9//HnfffTduvvnmCd/Vdnd348ILL8SJEyegVCpx3XXXYfny5Thx4oRfl9k0x7lRXvCFQqHA4sWLMXfuXLz//vt49dVXsWjRItTV1WHv3r145513cOrUKf5YWllZiaqqKiQkJIzpy+DPxOByufjdcHd3t5d2ViQSobe3d8qCuwnuXJqHghQV6nstyEpQ4MryVLS3tkCv14/YdQ9ZXBBRnpliAKCQimGwu2F3MYiRS0BRFOJi1bjt+2fG0pBOudFo5MPQiWKC3JAC1Ub7TE44GRZWG+1xmQE42WtFbacV13wvcsHw4wXDMGhpaYHRaPQ6sgvrncKcif7+fthsNkilUi8iViqVESficAdDGgwG3H///RgeHsaOHTug1Wojup5goGkadrvHWGOz2ZCZmYlNmzb5dZmdrZjRO10hAo1NZ1kW7e3tqKmpQU1NDfbt2wez2YyysjKehMkAyUitw2Aw8J1sQrRCyZa/kJvJgDBBKisrC1lZWSPes26DHbe9fhgysQgyiQgmB420WDm23bwgLLLwDYM3m81eNVRSntnTpsedbx+F3c3yWweJCKjIice2mxdG8OrHjqGhITQ1NUGr1fp9z4LBX85EpAJ/SB3eYrFg9uzZo0Z7chyHTz/9FBs3bsS9996Ln/3sZ5P+OXz66afx4IMPQqlU4vLLL8frr7+O+Ph4GAwG/jEJCQnQ6/WTuq4x4Nzc6QoR6EMrEomQn5+P/Px83HDDDQA8O5KjR4+ipqYGL7/8Mo4cOQKJRIKKigpUVFSgqqoKRUVFYTfOiKV4cHAQhYWF/LFYWB/u6uoaQUBxcXETfhQl8YZC44U/aOOVuO/yQjzxeQvsDhppahkeXlEa9tpEItGIDF6apmE2m2E0GtHa2upJHJNIkBUDNJ3+zknFFBRSEVh26vcDLpcLjY2NYBhmzE1PfzkTxN5sMpnQ09Mzas6EPwgHQxYXF4/6+9Hr9diwYQNMJhN27tw5JcYBvV6PDz/8EG1tbYiPj8e1116L1157bdLXMdE4Z3a64wHHcTCbzdi3bx9qampQW1uL5uZmpKam8rvhqqqqgDpa4Q6S7IZG20EICYiMBSI7IKF+eLygaRotLS38NORQ4w3dDAubi0GsQjJhY8WJpKnDKsKTtRa4GQ4U5bFg316dgCvnZYZEQJGG0HxRUFDAu54m8vWEREwmMwhzJsisMpqm0dTUBIfDEZIemOM47NixAw899BDuu+8+3HjjjVNWsnn33Xexc+dObN26FQDwyiuvYO/evfjiiy+we/du3mW2dOlSNDQ0TMkaw8C52UibSJAGGClL1NbWYnBwEEVFRbxkraKiAgcOHIDNZkNOTg4KCgrGNS9NGPBCvnjEyknKEuHMfSP60alq4AUCGQhpNBpRUlICjUaDfacMePG7DrgYFivKk7E4U8a/Fy6XyyvkZSJ11DabDfX19VAqlSgsLJwyGZgwZ0KYRex2u5GUlAStVsu7LANheHgY9913H+x2O/7617/yQTFThZqaGqxatQp1dXVQKpX4+c9/jqqqKnR0dPh1mU1zREl3MsAwDE6ePImamhp8+eWX2LlzJ2JjY3HhhRdi0aJFqKqqQllZWcQaZiRbgZCwyWTi7axC/bDvzsVsNqOhoSFs19ZkoL+/H18dbsKObinsrBgXFSbi1gtnBZWbBXofiJMqXMWEP7Asi46ODvT19aGkpGTSJH2hwO1285NRcnNzvcjY7XZ75UxIJBLExsbi448/xsMPP4wHHngA119//bS54f7hD3/A22+/DYlEgoULF+If//gHLBZLQJfZNEaUdCcTLMti+fLluO2227Bs2TIcOHAAtbW1qKmpQX19PeLi4njtcFVVldeEi0i8NpEpkWwFUh+OiYmBwWCAw+Hgg1amC4jm1uii8NB3FthdLCRiCiwHXDk3DRuWFYX1fP5svaEqJnxhNBrR0NAQ1Lk1VSDZuoHcbr45E3fccQd6enpAURRuvfVWfP/738f3vve9KVr9jEaUdKcLyKgfYVmiu7sbubm5fG24oqICcXFxEdt9EOOFTqeDQqEAy7KQyWQj9MNTAeL97+vrQ3FxMb7scOJP/9cCuUR0+u85sBzw1T3jJwahm8xoNMJisfhVTJD3ndS7iZpluoyHB7wHQ5aUlIxatuI4Dh999BEeffRRbNiwAXPnzsWBAwfQ3t6OjRs3Ts6izy1ESXc6g2VZNDc385HYLOgAABJ+SURBVCS8f/9+2Gw2zJkzhyfi8vLyMRGjyWRCQ0MDNBoN8vPz+VJCoPqwMHt3onXDer0ejY2NfL6ESCTCv4/24rFPmyE7TbrM6Qze/9x1wYSsgabpEXVRiUQCqVQKk8kErVY7rXa3wqZsqE28wcFB3HPPPaAoCs8+++yEN/4MBgNWr16NY8eOgaIovPjiiygpKTkbXWXjQZR0zza4XC4cOnSIJ+Jjx45BoVBg4cKFPBHn5+cHJAO3243m5mbYbDaUlJQE9dcDI2MvTSaTV8pWOJGPoVwb0SmXlJR4RWiaHG7c9OIBDFpdAAAxReG2C2fh5sUTaz8lcDqdOHnyJNxuN+Li4mC1WuFwOCCXy71uSFNxMiBrC3UwJMdx+OCDD7B582b87ne/w7XXXjsptdtbbrkFF110EVavXg2XywWbzYZHH330bHSVjQdR0j3bQUwVdXV1qKmpQV1dHVpbW6HValFRUcE76uLj4/HZZ58hMTFx3HGQvkMyhfVhQkDh6Ic5jkN3dzc6OzuDJm4NW114rbYLQ1YXLixIxKWlKRNOFkI7tu9ocd/RQCaTaVIVE0KJWnFxaKOG+vv7cc8990AqleKZZ54JOCo90jCZTJg/fz5aW1u9fmclJSVno+xrPIiS7kwEiabcu3cvamtrsWvXLnR1dWHOnDm44ooreDddJK2l5DhOyMdms/GTegkR+9sFms1m1NfXQ6PRoKCgYMosz/5gtVpRX1+PmJgYFBYWhrQ24cnAVzERyeQ54WDIoqKiUdfGcRzef/99PP7449i4cSNWrlw5qcqEQ4cO4bbbbsPs2bNx+PBhVFZW4umnn4ZWqz0bXWXjQZR0Zzo+/fRTbNmyBU8++SQYhsHevXtRV1eHQ4cO8WN0iJGjpKQkovm8QomSUDcbFxeHmJgYDA0NwWw2TzvFhG+Ad6jGkGDPJ5zKYbFYwHFcWPm7BOEOhgQ8QxnvueceKJVKPP3001OSc7tv3z4sXrwY3377Lc477zysW7cOGo0GzzzzTJR0yV+craS7c+dOrFu3DgzDYPXq1diwYYPX33Mch3Xr1uGTTz6BSqXCSy+9hIqKiila7cSDZVm/oe0cx8FisWD//v18WaKxsRFJSUmorKxEZWUlFi1axAe4RwJEptTV1YXe3l5IJBJeHxquXGuiQCIOU1NTI5o05wuimCAnA1/FhD+Lt3AwZGFh4ag3SJZl8d577+FPf/oT/vjHP+Kqq66aMt1tb28vFi9ezI9G//rrr7F582Y0NzdHywvkL85G0mUYBsXFxfj888/5hLA333wTs2efSbb65JNP8Mwzz+CTTz5BTU0N1q1bh5qamilc9fQBcaPV1tbyO+Le3l4UFhby+uGFCxdCrVaP6ctLwrtJw0cmk3kF3JBdoDDqMC4ubkIStnxB0zSam5thtVpRWlo6JTIwX8UEiQDVaDRwu918/GIo3f3e3l7cfffdiI2NxVNPPTUtYi4vuugi/OMf/0BJSQk2btwIq9UKAGejq2w8mFmku2fPHmzcuBGffvopAGDTpk0AgPvvv59/zO23346lS5fyITbCQn4UI8EwDBobG/n68MGDB+FyuTB37lyeiGfPnh20WeSruR3tSCyMOjQajbDb7V4qgbi4uHHZpn1BjASzZs1CRkbGtHFhAR6Z1YkTJyCVSiEWi+F0Or1CbnzfC5Zl8c477+DPf/4zHnnkEaxYsWLaXM+hQ4d45UJ+fj62bdsGlmXPRlfZeDCzUsa6u7u9EuyzsrJG7GL9Paa7uztKugEgFotRVlaGsrIy/OIXvwDgqdUePHgQe/fuxTPPPIPjx49DrVZ7hfyQ6QP19fUwGAz8+KNQjutSqRRJSUleuzNSHzYYDOjo6IDL5fKy8/obGT8anE4n6uvrIRKJgiaoTQXIjWpgYADl5eX8aCCimDAajV7vxWeffQaLxYIjR44gKysLX3755bQjrwULFmDfvn0jfv7FF19MwWqmH85K0vW3O/dXyxztMVEEh0KhwPnnn4/zzz8fgOc9HRoa4kPg33rrLbS2tgLwNEY2bNgQUozgaK+pUCh4AT9RCRiNRvT19aGpqcmrOUWadYGGKnZ3d6OrqwuFhYXTboAiSVFLSkpCVVWV1zVQFMW/F2lpaQA8p5H9+/fzE1C6urpw6aWX4u2330ZRUXg26SimDmcl6WZlZaGzs5P/c1dX14j8z1AeE0V4oCgKycnJuOKKK3DFFVegpqYGt99+O26//XZoNBrs2rULjz/+OB+aTXbE8+bNG3MMJUVRiImJQUxMDP/7I/Vho9GIU6dOedWHSUYvwzCor69HbGwsqqurJ2ya8lhABkMODQ2hrKwsJEWHTqfDunXrkJKSgu3bt/P1XpqmJ2wzwTAMnw2yfft2DA8Pn2uusgnBWVnTpWkaxcXF+OKLL6DValFdXY033ngDc+bM4R/z8ccf49lnn+UbaWvXrkVtbe2YX3M0tcTrr7/OO2zUajWee+45zJ8/f8yvdzbAZrOBZdkRbjeXy8WHwNfU1ODo0aOQSqVYuHAhXx8uLCyMqGKA1IfJSCCHwwGNRoPExES+LDEdygomkwknT54MeTAky7J444038Oyzz2LTpk1Yvnz5pJ3YtmzZgn379sFkMmH79u34zW9+c665ysaDmdVIAzzqhLvuugsMw2DVqlV48MEH8be//Q0A8Ktf/Qocx2HNmjXYuXMnVCoVtm3bhqqqqjG9Vihqie+++47vOO/YsQMbN26MqiVOg+M4mEwmrxD4lpYWpKWledWHAznUQoXBYEBDQwPS0tKQnZ3NKwEIGZOYQ7IbjoR5IVSEOxgSAHp6erB27VpkZGTgySefnNQ4ya6uLtxyyy148MEHsWXLFmzfvv1cdJWNBzOPdCcToaglhNDr9SgvL0d3d/ekrfFsA6m31tTU8LK1oaEhFBcX8yHwCxcuDMlmTHIm7HY7SktLvbIcfF9TaF4gcY+++uGJHAyZnZ096vOzLIvXXnsNzz33HB577DEsW7Zs0vsR11xzDe6//36YzWb86U9/wvbt28/WWWVThZmlXphshKKWEGLr1q244oorJmNpZy0oiuKHX1599dUAPLvBEydOoKamBv/85z/x4IMPguM4zJs3j98Nl5aW8lZYjuPQ39+P1tZW5ObmorQ0+Kw2iqKgVquhVqv5+jDDMLx+uL29HVarFRKJZMRYpPEOhpw3b17Am4EQXV1dWLt2LbKzs/HVV1+N2yU3Fmzfvp0fRUWm8EYROURJNwSEo4T4z3/+g61bt+Kbb76Z6GXNOIjFYsydOxdz587F6tWreeXC/v37UVtbiyeeeAINDQ1ISEhAcXExDh8+jBtvvBG33HLLmFO/xGIx4uPjvY7uwvqwcDCkUD88WrhNuIMhWZbFK6+8gueffx5PPPEELrvssilT23z77bf46KOP8Mknn/ASvp/97GdIS0uDTqfjywsTHRE5UxEtL4SAUMsLR44cwU9+8hPs2LEDxcXFk77OcwEcx+GJJ57A3/72NyxZsgQ9PT3o6elBXl6eVwi8RqOJqK2ZkA+pEdM07TfcJtzBkADQ2dmJO++8E/n5+Xj88cd5re50wO7du/nywvr16881V9l4EC0vjAfV1dVoamrip/m+9dZbeOONN7we09HRgZUrV+LVV1+NGOGOppggqKurw+LFi/H222/jmmuuichrT1dQFIXS0lIcO3aMP66TEPi9e/dix44deOSRR+BwOEaEwI9VvUBRFJRKJZRKJa+ZJfVhshs2m82gaRoulwupqakoLCwcdffNsixeeukl/P3vf8eTTz6JSy65ZFpryTds2IDrrrsOW7du5V1lUYSP6E43RIymlli9ejXee+89zJo1CwAgkUj8unJCRSiKCfK4yy67DAqFAqtWrZrxpBsqnE4nHwJfV1fHh8BXVFTwRJyXlxcR2ZpwMKRWq+WHZAarD3d0dGDNmjUoLi7G448/PmrIfBRnHaLqhbMNoZY0nnrqKUilUtTV1eFHP/pRlHQDgITAkwGhdXV1/MmFkHBlZSWSkpLC2m2SPIdAgfEul8srX2LDhg2w2Wzo6enBXXfdhVtvvXXa2XijiAii5YWzDaHmS/zrX//Crl27UFdXN9lLPKtAURQSEhKwbNkyLFu2DMCZsep79+7F119/jS1btsBoNKK0tJQ3cZAQeF8IB0MGy3OQyWRITk5GcnIy2tvb+dHid911F44cOYKrr74aH3/8cUjKhihmBqKkO00RimLirrvuwmOPPTatLK5nE0QiEXJzc5Gbm4vrr78egKdUcPz4cezduxevv/461q9fD5FIxLvpKioqsGfPHsTFxeHiiy8OqYPPMAy2bt2Kl156CU899RQuvvjiCa/ddnZ24uabb0Zvby9EIhFuu+02rFu3LmrlnQaIlhemKUIpL+Tl5fHkPDg4CJVKhRdeeAFXXXXV5C94hkIYAv/ZZ5/h5ZdfRlxcHDIzM/khodXV1QFn0bW1teHOO+/E3Llz8eijj05afq9Op4NOp0NFRQXMZjMqKyvxwQcf4KWXXopaeScHge+qHMcF+y+KKYLb7eby8vK41tZWzul0cvPmzeOOHTsW8PG33HIL9+67707iCs89rFq1ituxYwfHsizX3d3N/etf/+Luu+8+7vvf/z5XXl7OXXXVVdzDDz/M7dixg+vp6eGefPJJbsGCBdyXX37JsSw7pWtfsWIF99lnn3HFxcVcT08Px3Ec19PTwxUXF0/pumYwAvJqlHSnMT7++GOuqKiIy8/P5x555BGO4zjuueee45577rkRj40U6e7YsYMrLi7mCgoKuE2bNvl9zH/+8x9u/vz53OzZs7klS5aM+zVnAmia5o4fP869+OKL3O23387NmjWLu/baazmr1TrVS+Pa2tq47Oxszmg0cnFxcV5/Fx8fP0WrmvEIyKvR8kIUPEKRqRkMBlxwwQXYuXMncnJy0N/fH3Um+QHHcdNCc2uxWHDxxRfjwQcfxMqVK6P5CZOHgL/8qZsMGMW0Q21tLQoLC5Gfnw+ZTIbrr78eH374oddj3njjDaxcuRI5OTkAECXcAJgOhOt2u3H11VfjpptuwsqVKwGAt/ICiFp5pwhR0o2CR6ARR0I0NjZCr9dj6dKlqKysxCuvvDLZy4wiBHAch1/+8pcoKyvD3Xffzf98xYoVePnllwEAL7/8Mn784x9P1RLPWUQlY1Hw8Fdq8t2x0TSN/fv344svvoDdbsf555+PxYsXR7Mmphm+/fZbvPrqq5g7dy4WLFgAAHj00UejVt5pgCjpRsEj1DFIycnJ/AidJUuW4PDhw1HSnWa48MIL/d5EgeiAyKlGtLwQBQ9hsI/L5cJbb72FFStWeD3mxz/+Mb7++mvQNA2bzYaamhqUlZWN63V37tyJkpISFBYWYvPmzSP+3mg04sorr8T8+fMxZ84cbNu2bVyvF0UUU4noTjcKHhKJBM8++yyWLVvGB/vMmTPHK9inrKwMP/jBDzBv3jyIRCKsXr0a5eXlY35NhmHw61//2ksxsWLFCi/FxF//+lfMnj0b//73vzEwMICSkhLcdNNN02LmWRRRhIso6UbhheXLl2P58uVeP/vVr37l9ef169dj/fr1EXk9oWICAK+YEJIuRVH8aB2LxYLExER+esS5glBjPqOY/oiWF6KYUoSimFizZg1OnjyJzMxMzJ07F08//XREJwlPd5DTwI4dO3DixAm8+eabOHHixFQvK4ox4tz55EYxLRGKYuLTTz/FggUL0NPTg0OHDmHNmjUwmUyTtcQpRyj66SjOHkRJN4opRSiKiW3btmHlypWgKAqFhYXIy8tDfX39ZC91yhDKaSCKswdR0o1iShGKYiInJ4eXOfX19aGhoYGvAZ8LCOU0EMXZgyjpRjGlEComysrKcN111/GKCaKa+N3vfofvvvsOc+fOxSWXXILHHnsMycnJ43rdVatWITU1NaDyguM4rF27FoWFhZg3bx4OHDgwrtcbD0I5DURx9mC0wJsoopiRoChqCQALgFc4jhvBvBRFLQdwJ4DlAM4D8DTHcedN7ir5tUgANAK4BEA3gDoAN3Icd3wq1hPF+BDd6UZxToLjuK8ADAd5yI/hIWSO47i9AOIpisqYnNV5g+M4GsAaAJ8COAngnSjhnr04t8SOUUQROrQAOgV/7jr9M91ULIbjuE8AfDIVrx1FZBHd6UYRhX/461RFa3FRjBtR0o0iCv/oApAt+HMWgJ4pWksUMwhR0o0iCv/4CMDNlAeLARg5jpuS0kIUMwvRmm4U5yQoinoTwFIAyRRFdQH4AwApAHAc9zd46qfLATQDsAH4xdSsNIqZhv8P4izaahpdHo0AAAAASUVORK5CYII=\n", + "image/png": 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\n", 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" ] @@ -208,9 +208,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[8.01324880e-02 3.50338774e-01 1.98229282e-01]\n", - " [3.50338774e-01 8.52112553e+02 4.28282058e+02]\n", - " [1.98229282e-01 4.28282058e+02 2.15559700e+02]]\n" + "[[ 8.62283781e-02 -1.40897173e+00 -7.11736423e-01]\n", + " [-1.40897173e+00 8.56607690e+02 4.27363506e+02]\n", + " [-7.11736423e-01 4.27363506e+02 2.13526114e+02]]\n" ] } ], @@ -251,11 +251,34 @@ "* The function cor_ij which returns the correlation coefficient of datasets $x_i$ and $x_j$, i.e. $\\rho_{i,j}$
\n", "Design your functions such that they take in 2-3 parameters, those being the covariance matrix $M$ and the indices requested." ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def std_i(M,i):\n", + " return np.std(M[i])\n", + "\n", + "def cov_ij(M,i,j):\n", + " return np.cov(M[i],M[j])\n", + "\n", + "def cor_ij(M,i,j):\n", + " return cov_ij(M,i,j) / (std_i(M,i) * std_i(M,j))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -269,7 +292,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.9.7" } }, "nbformat": 4, From 51edc592ee0fac360d559f388fe96c9b992d5741 Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Fri, 28 Jan 2022 04:23:03 -0500 Subject: [PATCH 8/9] Worked on recitations 7 and 8 --- Recitation7/Recitation_07_learner_soln.ipynb | 45 +++--- Recitation8/Recitation_08_v2.ipynb | 136 ++++++++++++++++++- 2 files changed, 157 insertions(+), 24 deletions(-) diff --git a/Recitation7/Recitation_07_learner_soln.ipynb b/Recitation7/Recitation_07_learner_soln.ipynb index 18c2d71..953ff09 100644 --- a/Recitation7/Recitation_07_learner_soln.ipynb +++ b/Recitation7/Recitation_07_learner_soln.ipynb @@ -100,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -116,28 +116,28 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 5 53 2 73 59 91 32 33 54 82 75 32 50 90 5 39 83 89\n", - " 95 67 14 18 87 86 57 86 8 34 41 69 24 96 9 77 1 21\n", - " 40 84 21 15 50 94 48 63 58 100 62 93 6 43 94 40 100 20\n", - " 68 27 40 61 91 84 13 3 64 5 49 35 67 48 61 64 50 12\n", - " 41 37 12 68 53 21 17 13]\n", - "[ 85 98 79 31 49 59 32 5 28 64 58 35 45 78 17 69 24 37\n", - " 19 93 78 57 97 82 48 65 93 97 6 5 65 44 25 78 63 57\n", - " 12 28 94 18 14 2 41 67 48 10 36 49 34 79 45 89 6 14\n", - " 65 9 88 69 7 19 35 100 76 80 85 78 8 56 87 5 10 5\n", - " 21 4 84 76 78 27 71 75]\n", - "[ 23 24 36 85 25 80 95 42 57 58 20 14 6 58 18 9 10 5\n", - " 100 93 8 25 96 51 96 13 48 94 60 29 83 91 50 97 76 35\n", - " 75 10 52 90 59 30 20 36 60 42 85 4 94 63 5 16 96 99\n", - " 19 58 96 57 40 23 32 49 47 1 57 40 50 22 14 38 30 88\n", - " 64 46 6 38 92 11 3 43]\n" + "[ 79 36 84 65 34 52 27 57 45 67 49 40 13 42 8 88 30 15\n", + " 98 9 81 35 59 88 17 40 54 60 97 44 99 33 11 34 57 18\n", + " 100 53 83 43 33 40 37 76 5 1 91 44 62 89 45 53 8 26\n", + " 75 87 73 75 82 33 7 21 76 28 56 71 6 21 88 14 71 11\n", + " 34 48 49 28 28 63 29 47]\n", + "[ 4 39 37 58 99 27 80 82 49 54 21 54 63 33 12 20 10 16\n", + " 55 46 15 85 66 72 15 54 65 23 27 98 45 89 50 97 54 14\n", + " 83 45 2 33 67 46 10 59 24 62 76 33 29 38 100 3 20 90\n", + " 7 33 55 21 78 16 93 5 20 20 71 51 77 54 13 5 10 96\n", + " 11 45 56 41 77 75 35 98]\n", + "[ 33 7 34 68 32 17 20 1 13 8 92 31 69 74 91 30 11 44\n", + " 52 4 100 84 75 86 57 61 95 58 82 59 90 85 9 53 24 80\n", + " 48 27 84 71 69 70 67 13 71 18 98 53 92 34 3 77 49 49\n", + " 24 60 33 28 65 46 37 17 68 13 33 89 82 48 20 16 55 6\n", + " 56 66 8 59 23 34 97 48]\n" ] } ], @@ -152,6 +152,13 @@ "print(z)" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "markdown", "metadata": {}, @@ -663,7 +670,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -677,7 +684,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.1" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation8/Recitation_08_v2.ipynb b/Recitation8/Recitation_08_v2.ipynb index 601d12d..f3a215a 100644 --- a/Recitation8/Recitation_08_v2.ipynb +++ b/Recitation8/Recitation_08_v2.ipynb @@ -120,6 +120,39 @@ "Using the function above, plot out the probability distribution of $p$ for $N=20,$ $m=15$." ] }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "P = np.linspace(0,1)\n", + "plt.plot(P,with_uniform_prior(P,20,15))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -132,6 +165,41 @@ "* $N$=4, $m$=3" ] }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.plot(P,with_uniform_prior(P,100,75))\n", + "\n", + "plt.plot(P,with_uniform_prior(P,4,3))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -161,13 +229,38 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "def with_new_prior(p,N,m):\n", " prior = 0.99 / (0.01 * np.sqrt(2*np.pi)) * np.exp(-(p-0.5)**2/(2*0.01**2))+0.01\n", - " return prior*with_uniform_prior(p,N,m)" + " return prior*with_uniform_prior(p,N,m)\n", + "\n", + "plt.plot(P,0.99 / (0.01 * np.sqrt(2*np.pi)) * np.exp(-(P-0.5)**2/(2*0.01**2))+0.01)" ] }, { @@ -183,6 +276,39 @@ "* $N=100$, $m=75$" ] }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "P = np.linspace(0,1,500)\n", + "plt.plot(P,with_new_prior(P,15,14))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -209,7 +335,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -223,7 +349,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.9.7" } }, "nbformat": 4, From f25f9203a5bf8437e72204896dfcc3e1afcd3655 Mon Sep 17 00:00:00 2001 From: Nico Valdes Date: Fri, 28 Jan 2022 23:43:30 -0500 Subject: [PATCH 9/9] Played around a bit with last recitations --- Recitation10/Recitation_10_v1.ipynb | 180 ++++++++++++-------- Recitation11/spherical_harmonics.ipynb | 109 +++++++++--- Recitation12/MIT_8S50_recitation_12.ipynb | 194 +++++++++++++++++++++- Recitation13/Recitation13_learner.ipynb | 17 +- 4 files changed, 397 insertions(+), 103 deletions(-) diff --git a/Recitation10/Recitation_10_v1.ipynb b/Recitation10/Recitation_10_v1.ipynb index 3a9c4fe..07f85fe 100644 --- a/Recitation10/Recitation_10_v1.ipynb +++ b/Recitation10/Recitation_10_v1.ipynb @@ -47,23 +47,34 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "id": "O3ErNwyKMeT_" - }, + "execution_count": 2, + "metadata": {}, "outputs": [ { - "ename": "ModuleNotFoundError", - "evalue": "No module named 'torch'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m 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torch-1.10.2-cp39-none-macosx_10_9_x86_64.whl (147.2 MB)\n", + "\u001b[K |████████████████████████████████| 147.2 MB 160 kB/s eta 0:00:01\n", + "\u001b[?25hCollecting typing-extensions\n", + " Using cached typing_extensions-4.0.1-py3-none-any.whl (22 kB)\n", + "Installing collected packages: typing-extensions, torch\n", + "Successfully installed torch-1.10.2 typing-extensions-4.0.1\n" ] } ], + "source": [ + "!pip install torch" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "O3ErNwyKMeT_" + }, + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -83,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -96,25 +107,22 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 208, - "metadata": { - "tags": [] - }, + "execution_count": 4, + "metadata": {}, "output_type": "execute_result" }, { "data": { - 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -142,7 +150,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "id": "xJB1whFeF4Yh" }, @@ -163,7 +171,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "id": "ItvtxRZOQwL4" }, @@ -211,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "id": "Puymym3kSChW" }, @@ -238,7 +246,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "id": "jrpJWOXZSRs-" }, @@ -273,7 +281,42 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting sklearn\n", + " Downloading sklearn-0.0.tar.gz (1.1 kB)\n", + "Collecting scikit-learn\n", + " Downloading scikit_learn-1.0.2-cp39-cp39-macosx_10_13_x86_64.whl (8.0 MB)\n", + "\u001b[K |████████████████████████████████| 8.0 MB 3.4 MB/s eta 0:00:01\n", + "\u001b[?25hRequirement already satisfied: numpy>=1.14.6 in /Users/nicovaldes/miniconda3/envs/8.s05/lib/python3.9/site-packages (from scikit-learn->sklearn) (1.21.2)\n", + "Requirement already satisfied: scipy>=1.1.0 in /Users/nicovaldes/miniconda3/envs/8.s05/lib/python3.9/site-packages (from scikit-learn->sklearn) (1.7.1)\n", + "Collecting threadpoolctl>=2.0.0\n", + " Downloading threadpoolctl-3.0.0-py3-none-any.whl (14 kB)\n", + "Collecting joblib>=0.11\n", + " Downloading joblib-1.1.0-py2.py3-none-any.whl (306 kB)\n", + "\u001b[K |████████████████████████████████| 306 kB 30.9 MB/s eta 0:00:01\n", + "\u001b[?25hBuilding wheels for collected packages: sklearn\n", + " Building wheel for sklearn (setup.py) ... \u001b[?25ldone\n", + "\u001b[?25h Created wheel for sklearn: filename=sklearn-0.0-py2.py3-none-any.whl size=1309 sha256=bd3559b1b608942d8d732141273b3c1be211c4ab163f1df4d54c522bc3fd4264\n", + " Stored in directory: /Users/nicovaldes/Library/Caches/pip/wheels/e4/7b/98/b6466d71b8d738a0c547008b9eb39bf8676d1ff6ca4b22af1c\n", + "Successfully built sklearn\n", + "Installing collected packages: threadpoolctl, joblib, scikit-learn, sklearn\n", + "Successfully installed joblib-1.1.0 scikit-learn-1.0.2 sklearn-0.0 threadpoolctl-3.0.0\n" + ] + } + ], + "source": [ + "!pip install sklearn" + ] + }, + { + "cell_type": "code", + "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -287,38 +330,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.94\n" + "0.85\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 213, - "metadata": { - "tags": [] - }, + "execution_count": 13, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -340,7 +381,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "id": "7cNRz017TbMh" }, @@ -355,7 +396,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": { "id": "H9t77pzKUKsv" }, @@ -384,7 +425,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -398,19 +439,19 @@ "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { - "image/png": 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YI9IkathBojD7Oz/eIAW1Pi9M+jhxH9dP6SD4dZYN7141EHvsUxbs9rI/l4jUqS3wHuNP1bhh+PoZPfeohdo1lZgD2O2CjHTBxJdiNaqplDmFpb4XZQqqOW9fEHUxBy3oIfHeJ15yckt6JQcOSlavSRzP1uWC/kNdbN/pJ+uI5HCWGul2xU3uiM8UjRTHNxb8PNPOaV0NTEOJzk3XWPhkYnLOiNuyTeIJclP2eiU//x6+cMugASYWS8kbxImtBRkVy6irHEZ1sHSnpHg7wH5NdGyQftUoS+aWfK/lASXkd8wP+0JnedAhlxAY/46PYeebdOpgkJ4GuXkqVemSUYlXrbp0uaRJBxddOwscdsGfi/y4E+/HOMpdN5vYbcXTyVJTBOf0M2h6vMoASSa8XrjvEQ/jnrEeHbzh9UpycuHxF8LXzygnV1KzRklBl5LYXS9pb8OR/uA/DLgBC1hOgZT7In9u11TIvRfkEUCC7RJIGwetcmMWXglGSIIuhBgIjEPdHidKKZ8NeP944D2gRv4+D0gpZ4XZ1pjhdkPfC9yc1dfg9J4GO3ZJPp4W+vi0eENKWLBYUu682TikUwcDmy3IQGw3tGmZfIIO8PZkH9t3Sh68y0KTxoJf/vAz5gUv6zeG72d9410fD94tik1rcrkkM+b6Sh3qHVHMJlB9JXjmgn8LmJ3A0qNclZQVwvML5NwMFMlTdk+FhvvhjlEx9cgDKTNtUQhhAmuBs4BtwELgcinlqiL7TACWSCnHCyHaAbOklE1LPW4CpS1q4pcXxli4/QYL9gBRz8uTtD3NxeatySfo0cBigU8mWhk0wMTjUetIq9b4OWe4m0OHY21dlMk6H7zzSm63WWDlf6BWWnTtKSVtMZQYejcgU0q5QUrpBj4BhgTsI4Fq+f9fHdhRUVs18U3XzoJ3XrEy42Mbo0aYlVp8tFrVjNjK8PKbymMsaKcMkJsnmfWdT4t5JfB6YfhID6ec4WLUHW5OP99F97OqoJi3PAAZ/wR/z2bC7iPRtacMQhH0RsDWIv/elr+tKI8BI4QQ24BZwO3BDiSEuFEIsUgIsQipx6YnGjdcbfLDV3auvtTk/LNNXnrayu9z7DgcZX+2KGlp8O6rVrI2OTiQ6WDl73Z696jY+vzW7ZJeg1z89Lsfj1dy6LDklbe8XH5DVSmdjCzr1kumzfCz5O8qeHMsyFg56zgwg4R1/BJOqBV9u0ohXIuilwOTpJT/E0KcBnwghGgvpSy27C6lnABMgPyQiyZhSE+Hl56yHk1jA5X73KYFXHOZyZuTQk97nDbJxuk9jaO51O3aCOZMsdGpn4t168t/WaxYLTlzSAKv7Grii8BqztYDYNYqyHFztPl5ihX+dSakxlc2VShu0XagSZF/N87fVpRRwBQAKeUfgAOoEw4DqxpXDDdZ+pOdHSsdfPimleZN42NWao8uBu4gTm9amuDiwaHnAbdoJuhzmkFKQGGMzQZ3j9ZJV5ooMyiz+CtY6mGLOvDNrXBuO6idBm2Pg3HD4a5+sbP7GITyDVoItBJCNEMJ+WXAFQH7bAH6A5OEEG1Rgr43nIZWBf7vXgv331HYOOuSC00GDTA5+XQXW7fH9oHmcJYMWmAlpaRZU0GnjiKkx/LmJwjcbkgNaENqtQratY6Pm5emClC0mjNwezDaHAfvXx15uypJmR66lNIL3AbMBVYDU6SUK4UQY4QQg/N3+xdwgxBiGfAxMFLGqutXgpKeDg/cVSjmABaLIC1VTUmJNQv/kuzbL4stPgIIITihseCXr+1cNqxsT33lGn/QhVSnS/LnIt1LRhMFAqs5i74SHN1tMU7o2lnwzWd2alQv6aX+vcrPyX1i3wSsdUvBN9NsHFdXYLcpMS/K4SxJ3dbOMlu5vv2ylUuHmkdznH0+Nej7pF5Odu6KlPWaKk8Me6yElUqmLWqiwLYdMqjn6vdLNoSxYKQyrM2UNDtFhX8CxbyADu3KDpvccJeHx57zsnW7n8NZkq9m++k6wKXFXBMZCsryX5kdsx4r0SL2z/JxghBw+UUmo0aYmAa894mP9z/14YtSz6qdu+CbH/yc3a/4gmGeE557OXwl3ZVFSpUq2Kp5yfesVjicVfYx/H7476te/vtq/PxcmiQlQoMk4hUt6Pl8+KaVCwaaR2PYp55icPEQk3MvjV463BU3unl7nJULzzXx++FINtxyvzvuYsvj3vTSrbNRLN7v8Uj+WSvDWn6u0ZSLQM87GcIr5SRhYuhCqPagR7Jl2KvVOp8s+HmGvUTP8yPZkiEj3PzwS3QFNT0dalQTbN8pidel5ccesHD/7RbcbtVCeOt2ydnDXWzXNcKaaFMQGw8U7mT1yhN9YtGgAQZvvWSlZnWBYcJ3P/q5anT4ypD79jKxBPlNpKfBmX2MqAt6djZkZ0dPyZseL6hdSxXohNp46bFnvbz6lpeunQx275X8tSxO7zya5KaKhVTKIu4FvUM7wdR3bcW6vp3V12D6RzZOPy884ZB9ByRuDyUWJZ1O2LsveYXquHpqVurJ7Q08HvUUdNd/PLz7UWgLB/v2q6EZmthgtapB0fsPUPUGfGshD0rcZ7ncPdqCPaC61m4XdO5o0LpleApRPp/pC/qF8Pnh488Td5JPWcz4yM6pJxukpgiqVxNUyxC88pyVnt3i/rKo0ggBTz1s4cB6B5uXOdizxsENV8fR1J5IEieDJOKVuP/mtmwmgk5O8XigSaPwCHp2Npw93MXO3fLoJJ99BySDr3SzN0l7iJ3YWtCujSjRSzzFoYZGaOKXxx+wcOeNqggtxSGoXUvw4lNWhg+O+69z5YjxeLdEIO6vgB9/8+N0lgx72O2wbEX4njMXLJY0OslJ/6EuzrnYRf0TnVGPnTdsAJ+/b8O100HedgeT37BSq2ZkzlWvjghaAGQYIqyzKTXhxTThrptLDi1PSxU89m9rjKyKMNorD5m4j6G/PMHLTSMtmKbEalUXcXaOZMJ7XvbtD++5pIRFSyofM+9zmkHnjoKNWySzvg0+mDkQhwPmf2PnuLri6M958RCTzicbtO/lCnuMdMlyP7YgjeLy8qSOi8cxGelgO4ZuJ8WNuCBjpShVLPWwMsS9oO/bD537OXnkPivnDjA4eAjGjvcyKcSFu2iSkgLfTrPR8SQDqwXcHlUO33Ogm207Sr9RXDzEpHq1QjEHsNkEjRrA2f0M5nwfXpE9cgQefdbDo/dbj+aTO50q1PTKW7rgJ145nAWHDqsF7UCWrUzgG3GylOXHmLgXdIDtO+Cmu+N/YMFD91jo3NEgJUUJpMOhugp+MN5KvzL6dbc/UU2sD8Rug3Ztwi/oAP991ceK1ZK7b7FwXF3BjDk+XhzvjfhUGosFhp1vMuAMg+07Je986It5N8lEQUq4/zEPr//XWizzKydX8sDjCXoj1hkrYSMhBD1RGHm5eVTMC7BYBD27GWRkKK/4WKz4R3IkW5YQdZcbVq+NnOc153s/c76PXjVsSgr8MtNO65bqBuZ0Se67zcLQq918+2MCe5hR5P1PfRw8LHns31aaNhEsW+nnwSc8zF+UYDdF7ZWHHS3oYcQSbExVPkYZ4c2pX/l4+mELDjtHwy5ut2THLsnceckjdLdcZ6Fta3F08pHDLsAOH75po35bZ5XJp65bRxV0ZW6QHDxU/s/PmONnxpzYd+CsMNorjwhxn+WSSEz5yovLVdxL8vsly1b6y2xa5XRC97NdzPzGh9styXNKpn7lo9eg8C+IxpIrLjKLjbErwG4PrVNjomO1wvvjrWxZ5uCbz+xsX+ng5WcsHKN5ZfIxKBNenq1eWszDjvbQw8gjz3g5u69JwwaQkS7IzpG43XDNraHF/3fshGFXe4D4Xy+oKHlBUlABTAOcCexwhsqzj1q46HwTh0McHa593ZUWNm+T/O+1+FvorxSDMqHV/pLbwhVe2ZkFE3+HZdugYyMYdRo0qhGeY5fFxv2w9SC0qw910qNzzhBImOZciYLVCkPPM+naWT1OfzzNR1YpsfOqxohLTMb/11qsU6PfL1m7XtK2R/woep3aMHig6vHz9be+sDQdEwKObHEUW8wsYPtOP43bx8/PXymiERv/ZzcMeh2cHnD7wGaCzQKzRsNJDSJzToAsJ1zzASzYrM7p8sI13eDpwUTtMauU5lxa0DVRRQiYOM7KZcNUi2CfT/V87zvYxZp18bGod8mFJpNeteLzgTBUN8n7H/Pw6luV86BtNsjd5sAMstaSmydJa+ys1PHjgmjFxi+cAL+uh8BLpntTJeqR4trJMGeVuokUkGKFJ86Da08r+/N5HnB7oXpK2fseCy3omnijdUtB7+6qU+PceaEVX0WDunVg01IHqQHZSrl5kk59XazNrNz3ZdUfdtq2Lr505fdLfvzNT/8Lo5dtFHainbFS/0HwBFlcEgL2PhMZbznbBa0eLy7mBbSoAwvuO/ZnD+XCndNg7mqVe9qiDowbDl1PKL8did4+VxM9TBP69jbISIeffvNXKAMjFNZmStZmxl/M+MJzTWQQnbBa4NILTZ74b+XuPLfc52HmxzYcdjBNgdcryXPCPQ8n6LpJrFIPHVbwBAlROSyRC33kuo997EN5pX/2kndg+Q7w5F/za/bARRPht3ugSfj6e+gsF81RTukg2LHKwbRJNia9amP7Cge3XV+1GnVZrcG/s4ZBia6f5aX/GQYP/8vCgYOSLdska9b5ef9TH6ee6WLZivgIN5WLWDbLuqqbEu+i2C1wRVDHNTzUTVevQAwBfVsd+3N/b4fVu0p69m6fWtQNI9pD1wCqenPuZ3bq1SmuZs8+auXPxf6w9LhJBGbM8fPfMSW3O10wbWbFnyhGXGzyxtjC6k6vV5Kbp+bFrlufAL/bwJh4q/2xLQh66BxYvw9+WgdWU4VfejaDx8+L3DmFgBeHwdUfqMVQv1QLo6k2ePicY39u80GVxhWIxwdr94bVRC3oGkCFWYJ5oA473HC1hUVLEjQkUE62bpc8/JSHJ/5jxWpRnrnTBePf9bLk74oJr2nCi08XL9W3WARpqZIxD1i47Po4/t0WDakEbo8lDit8NFKJ+to90LIutKob+fOe2Qa+uRVe+wUy96qbyE29oX61Y3+mfYPCUEtRHBboVoEYeiloQdcAUC0j+HbTFNSqUVWqXhRjX/cx53s/lw0zsVrgsxk+Fi+tuBfdsL4gxVFyu2kK+pxmErd1B4lQzdmijnpFk3YN4LVLQt+/WW0Y2E4tiObl/61NAel2lfIYRrSgawC1ABqsLWt2tuSz6fG3eBlpVq2RPPJMeFJvDh6WQZ+4AXbuisMy4EQQ8kTjzcvglZ/hnT8gxw0D2sCjg6BWWlhPowVdA6i5lA8+6eGph6xHMzCysyWLlvmZNqPqCXo4yc6GKV/5uHhw8eZtOTmSp1+Kcb5mYOgk0hkr6/bCM9/A/I1wXDW450w4v31kzhVPWEy4u596RfI0ET26JqEY94aPPxb6ufFqCzWqCz6b7uOz6b64yRFPZG66x6PaBp9n4s4fyP3IMx7mL/Yz8gqTnBxVkZqbGyWDCmLjgcIdSa98/T4Y8IpK//NL2HUERn8C2weqOLSm0mhB1xRjwWLJgsVxGtNNYJxOuPJGDzVreDiunmDjZsm9t1pYt9CBz0d+AzYrF1zh5uffIxyGiVVI5blvIS9fzAvI9cDTc2FkD5V2qKkUcZGH3vEkwUdvWVn6s523XrLSolnVWoTTxCdt2wimvWdj5yoHf/1g56ILKv91OXgI/lkr6dzR4MG7LaQ4BOlpgmoZ6jX9Qxt2exiMD0asZ3Mu2Ay+IIvLEthyMOrmJCMxvyX262Mw46PCyrl2rQWXDjXpNcjF8lUJkJ+rSUpatxTM/8ZOaoq6LusfJ3jvNRuNGnp4+c3Krylce4WJ4xjCPeAMg6+/CaOXHi+DJJrUUB0KA/H6oW54FwerKjH30F9/QeXnFjQssloFaanwvyeSdIK5JiF47H4LKQ6KNdJKSxM88aA16HDt8pKSQtAmXcAxhb5CxLKaM5B7zlSNrIrisMAF7aFGamxsSjJiKugOB7QMEl4xDDW2LZxcdanJwu9trFlg57lHLdSMUttkTWLSs5uBxVLy2hRCTRqqLFO+9JGdXfIJ1GqF7xL3RyEAACAASURBVH8Og3ce6/BKMPq1hucvhJopStjtFhjSEV4aHmvLkoaYhlzcbvWyBLHi4KHwhVteftbCtVdYjvbgvuNGwcUXmnTs4yI7O2yn0SQRm7ZITmhScrvFArv3VP7anDnXzzc/+jirr0laqmoj7PHCHQ94yj+kOxYZKxXlii5wSSc1nKJGKmREasGgahKSoAshBgLjABOYKKV8Nsg+lwCPoZY4lkkpryjruH4/TJzs5foRlmJjyXJyJGNfD0+uXKOGcP1VavGpAIdDUK82XHu5ySuV7HEdjI4nCVJTBIuX+fFEKWHEbofePQx8Pvj1z/hpR5uoPDnWS5dORrFy/dxcydTpvjLHCYaClHDRNR7O6uvjwvNMsrIk733q45+15bxZJGIRkMUMa4dBTSFlCroQwgReA84CtgELhRDTpZSriuzTCngQ6CWlPCiEqBeqAfc96qV2LcGw801cLtXRbuJkLy+9ER6h7drJwO2mROl1Wprg7H7hFfQTWwtmfmTjuLoCX/5T88jb3Hz5dWTT0M4/x+DDN22q7atQ3t6FV7n55Y84rEJMEL770c/of3kY+6SV1BQ16OKjaT5uvT+8d+hvf/Tz7Y8V+DslopBrIk4oHno3IFNKuQFACPEJMARYVWSfG4DXpJQHAaSUe0I1wO2GETd5qFfXQ9PjBevWV2wK+rHYsUtiBGt05pFs3BI+wTNNmPeFnePqqTWAAia/YaNTX1fQjnqmqcS3MjRsAJ9OtJUYvPz1JzYatXdyRI+/qzAfTPHx4Wc+GtRX6YZRK/opjXjJWNHEJaGsPDYCthb597b8bUVpDbQWQvwmhPgzP0RTAiHEjUKIRUKIRch9xd7bs1cVtYR7oMKCxZKt2yUeT3FBdXvgtbfD550POMMgLbW4mIMajHDDVcV7it9xo8metQ48ux1sWmrnkgsr3nP8iossQW9YoGabaiqH3w/bd8SJmMdTxoomLgnXoqgFaAX0BRoDPwshOkgpi8mzlHICMAHyR9BFiQHDXEx9x0bnkw28XvXlvPZ2d1hnWNapLSBI8oPNpnKYC7jnFpPHHygcknxCE8E7r1jJc0pmzCn/E0PtWgRNo7NaoEYpHT01CYT2yjUhEoqgbweKrvc3zt9WlG3AfCmlB9gohFiLEviFYbGykuzcBb3PddOwAWSkC9ZmSsI9SvWXP/xYg6TOH8mWzP5OCbUQ8NA9xSfeA6SlCp58yMqMOeWf+j7nez+3joKMgEEqPj98+5OOoSccBeJdFC3kmhAJRdAXAq2EEM1QQn4ZEJjB8iVwOfCuEKIOKgSzIZyGhoMdO6HkmPDwsGWb5I13vdxwdWF6ZE6u5J91he1n09JKCm8BzU+oWG7zT7/5+fZHH2f3M4+eNztHMnmKj9VrErPS1maDvr0MTBN+/M1PXhnjGpMC7YVrwkCZgi6l9AohbgPmotIW35FSrhRCjAEWSSmn5793thBiFeAD7pNS7o+k4fHIPQ97+fkPP6Ovs5CRBh9P8/HWB76jqYvZ2XDosJosH8iaSkyTv/haD8MH+xlxiYnHA+9+5GXm3MT0zvufYTBtUmEMyTRhxM1uvpqVmD9PSOiMFU2YEDLcsYdQT2zpLKn+W0zOHUtuuNrkxSetpBUJu+TkSoZe5a5Y+loSUaM6bF3uKBGSys2VtOrmzH/CSiK0V66pCLX/vVhKGXQadsx7uYAKRTxyn4V//rTz9y92brvexEzSBI233vdx870eNmzy43JLlq/yM3ykFnOAYeebQSNihgGXD4t5H7nwojNWNBEg5t8SiwV+m2WndQtxdJrLs49aOfN0g2FXV66Iw2KBtq0FBw/Bth3xE0+ePMXH5Cl6ClAg1TKCt4Gw2aB6smTs6PBKcbLyYNJ8mLcWGteAG3tBx8Cs6DBxxAV2E2wxl72IEfOfbOh5Js2bimKjudJSVRXnKR28LF1eMSG+eIjJG2OtWEyVwvfXcj8XXeNmd8glT5po880Pfp58qOT23DyVzZNwBIp2q/06vFKUAznQ72XYlw1OLxgCvvwbXr0YLjw5fOf5fQPc/Tls2g+mARedAs8OgbQwtM2MM2Iu6Kf3NMhID9LVDujRxWDp8vJ7sp06Ct591VqsD0e3Tgazp9jp3Lf8qYGa6LBqjWTSxz6uudQkPf+aOJItmTnXx+8LEkjQi8bGA7drCnn1Z9hzBNz533G/hDwP3PMFnNcerGGIu67ZDZe8o44Lqvf6tKWw9wh8cl3ljx9nxFzQN2+V5OXJYh46qM5zO3ZVzDu/6yZLiZ7SVqugVXPo0E7owRlxzG33e5gxx8fIy01MUzB5qrdCBVcxQ4dUQmf2qkIxL4rXB2v3wEkNKn+O138peQ6XF35ZD5sPwAm1Kn+OOCLmgv7+p14eua+4GT6fJDcXZn1bsS9yk8Yi6PAArxcaHBceQT++saB6NeVVVrYfi6Y4c+f5mTsvgUQcinvlTfbAN+uUV9inBdTS03iCUjMl+HafH6o7gr9XXtbs5minvKLYLGrsnRb08LJnL5x9kZuPJ1qpW1tgCJWTffF17gq3gJ07z0/3Uw1SA7x+ux0WLa2cUDRsAJ+/Z6NDO9VGwOuF6+9y88XMBBMgTcVpeQBaFQmfFI2NL9gEZ73L0VJktw/GnAfX94yJqXHNzb1h+U7IdRduMwW0bwiNw9Ret8vxsHQ7eIJ46a1DbgqbMMRVHnrzpgK3u/IZKdWrwd+/2KlXV+CwF1ZPjh3v5dFnKtcofMVvKiPHai2eR37aOXoGatJTVmzc6YG2T0KWs/j7KVaYfQt0aBgdOxMFKeGpuSosYjPVAOmmtWDqKKgfprSm7Yeg94sqw6VA61KsMLwTvHRReM4RbUrJQ4+5h16UDZvCI4iHs6BTXxf33mbhogtMqmWozJkbr7JgMWHMC15cFVgbPfUUwfGNi4s5qB7ut91g4aa7ozTNQhN9QomNz1tL0CZBLi98uFBlVmgKEQIeHqg89WXboV4GtG+gtoeLRjXg29vgsVkqbl7NATf1gtF9wneOOCKuBD2cHDgIT/7Py4iLTWrVENhsgox0uOtmC906G5w1zF32QQKoX08EDcdZLEroNUlIeao5c93BBd0vS3rtmkLqpEP/NpE7fsu6MPmayB0/jkhaQQe44iKTmtWVmBeQmiLo0cXg1FMEi5eW74lg4RI/9iCpqzm5krnf65XRpKO8GSuntwRPkDt+mg0GdwivbRpNEOKi9D9S9OhiHM1nDuTkk8r/o+/ZC+Pe9JKdU3gjcDolu/dK3v5QC3rSMCgTXp6tXuVJP6yXAQ+erWK0BYNO0mzQsxmcfWJkbNVoipDUHvrqtZLcPFki28Xvhw2bKxavf3CMl8VL/dx5s4Wa1QWfz/Qx9nWvHvWWqASGUSrbLOv2M6Bnc5i8AHJcMLgjDGrHMcdKaTRhJK6yXMJN7VqQuchBtYzC0XBut2T9JslJPV1hH3KhSSAKYuOBwq0LgjTxTqJkuYSb/Qegz3ku3nnZyikdDKRUOeqj7nRrMa/K6GpOTZKS1IIOsGK1pNtZbnp2F5zY0mDlGj9795X9OU0SovuPa5KcpBf0lBT4+mMb3Tob+P0qxfWfTMmAoS4OZ8XaOk1U0EKuqSIkvaA/9ZCFHl2MYs2/OrSFV5+zctVoXQiU9OjwiqYKkdSLogAH1juoWaNk6qLLLUlp6NSx9GRFe+WaZKWqLooCQQuBACymyiTTnRKTgALxDtyW6F55llOlP36/RpWw39Cr8v1gctwwZhZ8+pdqHNavFTwzGI5Prq6DVZWkF/Q583wMHmhisRR66X6/5PcFfi3myUCyhlQO5appPnuOFE7z+XwZvHYJDOlY8eNe8jYs2ab6ywB88w8s3AIL74Pqx2hnq0kYkr7a4e6HvOw/CDn51Z25uZLDWXDTv3T8PKGpaDVnovD6L7A7X8yhcJrP3Z+XbAUbKku3wd87CsW84Li5bvhoUeVt1sScpPfQt2yTtOnmZOQVJl07Gfy9UvL2ZC/7dVg1MSlHbFwANkxcROBRzOmBbBfUTgtvd8ACvl5ZXHgL8Pnhn90VC72s3q1+KYHkeZTXrkl4kl7QQbXTHfeGDyLxxdZEjxDDKwaCxxy9uDPlVFKxstmfxR253zHLs6HyNjg98MB0mPKX+nfNVHh+iJqBGU5qHCP84fWpFrAVoWUdCJYE4LBAhzCMe9PEnKQPuWiSgJYH4I756hVCeGVsaj/uSelCNWHHIgxamDWYmj6E3pbGlbfljqkw9S/lPbu8sCsLbvpETSoKJzf1htSAFX3TgLb1Kz42rcvx0KaeGiZRgBDgsMKVXStuqyZuqBIeuiaBKG28WwikYeUG+8mkCmux7anCyiOOnpydPaXitu3PgZlBQiF5Hhg7L7xT5C9oD8u2wfhf1fxLvx8a14D3r674MYWAz69XTxhfLAOvH05rBv8bpueeJgla0DXxQZjyxhsY6fiCxhWgjVnJ1Lydh5V3Gyy2vXF/5Y4diBDwf4Pg5j6wZKtqzXtyo8rH66ulwOuXqmwZKXUXyCRDC7om9oQx9XCb/0jQdT+/9LPEt7tyB29aW3m1gZgGdDmhcsc+FnXT4ey24T+uEJFZzNXEFH171sSOcsbGQ8GJl+fz5pMti48YzMPHY3mVrExOt6t+56lFwjkCNdDinjMrd+xjsf2Qituf9BT0/B+8Pz/4mDuNBu2ha6JFYGwcIlYQ9ITzD/bIXB509KCukcpf3t3cm/sDS317Kn/w+wfA8TXhpR9hXzb0aKpCIy3qVP7YgezLVsVFh/PUk8GuLHhoBqzeBc/ogdOakiR9LxdNHFAQUikq6Lq/Stk8+w28/FPJmL3dAksfUHF1TdWjKvdy0cSQZC3Ljxa/rg++AGu3wMqdWtA1JQgphi6EGCiEWCOEyBRCPFDKfhcJIaQQIujdQ1NFiEBsvErSvA6YQRYuPT5oWD369mjinjI9dCGECbwGnAVsAxYKIaZLKVcF7JcB3AnMj4ShmgRBe+XhY3Qf1ZArr0jfIaupyv7bHBc7uzRxSygeejcgU0q5QUrpBj4Bgq3IPAE8BzjDaF+VpVZNeOphC8t/tfPjdBtDzo3zhCTtlYeftvXhvaugfgZY8v/+dgv0bx08FKOp8oQSQ28EbC3y721A96I7CCE6A02klF8LIe4Lo31VkurVYMmPdurVETgc6pH71FMMXnjFy5gX4uCLHLigqQdJRI4zWytv/NAmlemS7VIZNj+ug+k36cIgTTEqvSgqhDCAscDIEPa9EbgRAKNJZU+dtNx8rYU6tQvFHCA9TfDAnRZeecvLwUMxMqygmjNQuLVHHjn+3KT6lTuL3MjzPKoN7k+Z0K91zEzTxB+hCPp2oKj6Ns7fVkAG0B74UajKs/rAdCHEYCllsSbLUsoJwATIT1vUBGVQf4PUlGBj85Sn/t2PQaoVI25UZGLjZ1iacIfjVOqLNGZ4MnndtYSsgKKgKs2CzeAO8lSW44b5m7Sga4oRiqAvBFoJIZqhhPwy4IqCN6WUh4GjVRVCiB+BewPFXBM6W7dLfD6JGZDhYLHArt1Rvg9GcDbnrfZOPJd6BilYMYTgFEs9rrefTOesSVrUCzguQ8XNvQG/jxQr1K8WG5s0cUuZATgppRe4DZgLrAamSClXCiHGCCEGR9rAqshLb3pxuopv83gka9dLVqyOoqAPylSLnLcvCLuYp2Hl+dS+pAkbRn5PkVRhpYGRxmh7p7CeK6G5oIMagBuIxYChJ0ffHk1coytF45TLhpmM/68VwwCrBZau8DP0aje7w1C9XiZRSD3sY2nM9PRh1DBKDmv43bOdXkc+jNi5E44VO2DkZFX6L4A66fDOCOgUhv7umsRDV4omHp987uOz6T5OOlFw8JAapVcaZ55u0OUUgy3bJF987cPlKnX34EQwvBLIfpmHVZR8QPRLyS6ZHdFzJxztG6ohzhv2q8ZcLeroTomaoGhBj2O8Xli2onQhdzjg+y9sdGhn4LBDnhNeetpK73NdZG4o5bMF4h24LUoZK6t8+8n0HaKdWRurKAwp5OFhnPOvqNiQUAgRmQZgmqRCC3qC8+87LXTqYJCSnxVjtUJaquTDN610P+sYC4txUs153pHP+DpjOC3MGnilH6sw+XfuT/zs3Vr2hzWaRGBfNsxdrW7I57RVQ8UjiI6hJzgbl9hpenzJ0IXTJWnSwcm+ooN0ohhSKQ/tzNrUFin85d1NDp6yP6DRJAIfL4J7v1ADUAB8fhg7DC49tXLH1TH05CVIGPooR4sI41TIC1jlC/P4tngk2wVLtkGNFGjfQMfAk51tB+FfX5Rs0XDP59CnZcSaq2lBT3A+nOrj7tGClCJVpX6/ZPVayZ69xE14pUrzzh/wyNeqsZbXD42qw5Tr4PhKzjjVxC/TlwffLoEZy+Gm3hE5rRb0WOPfDc43wPsnmCeC4zYwW4T88adf9DKov0nL5pCeBjk54PbAiKf2wh2r48srX70Lxs6D5TtU46l/nakyOBINKVVcdOLvkOWEIR1hZA9Is5Xcd/4mJeZ5nsKuiev3wfC3Yf692lOPV9xe+GwpzFyhnqqu7QFdyzE31u1TIZZA/P6INlbTMfRY4tsIWb1B5gIu1P3VBhkzwHpayIcxWh/g3DsO0KVhBlsPu/h05R6yj98bX175ws0w9C11MfslGAIcFpgyCk5rFmvryscTs2HCb5CbL9ApVmhWG769DRzW4vte/yF8+bfyzIqSZlPNtU7RueRxh9sL578Bq3dDrlvddB0WePgcuLlPaMf4Zxf0f6V4Dx5Qx/nhTmhdr+L26Rh6nJL7MMjDQMGd3KteObdCjRBS9/LndPoHrWPmOZnMLNgemae5yvGfGcX7evulEsR/fwU/3xU7u8rLriwY/2txLyvPA5v2w2dLYES34vvvzS4p5qBuaAdzI2qqpoJMW1Yo5qCeyPI8MGYOXHYq1Egt+xgn1ldhlQm/FV4rdovqcV8ZMS8DLeixxPM9hWJeBH8m+A+DUcrCSaLFxpdtD7595U71GJoobWAXbAabWfKxOdcD3/xTUtAHtoPFW4vfzEBNHTpVdxyNS2YuLxTzothM+GMTDGoX2nEeGaRaN0xbqpqsDDsl4k9kWtCjiBBQry4cOoyq5BQZILOC7GmAKFkSD8R9xsoxqZEC+3NKbq/mSBwxB5VHHMzjNoUaRBHIVd1g0nzYdgic+aKeaoUHz4ZqKRE1VVNBaqaqL2tgOFoCGfbyHatT46i2aEigb1JiM+Jik13/ONj4l4MD6x28/KwFkToaCHx8s4NtKIggF04Em2VFnJt6q1hzUVKscEPP2NhTUU5rCtVTSi5m2ixwbZB1j3Q7fH87PHQ2dG8K550EH18Lt5weDWs1FeGa7irWHUiqLe7Xe/SiaBQ450yDae/ZSEstFIGcXMmkj9zcdut14J4G2AEPWLpCxlTlvReQqF55UXx++M90mLxQpe+5fSoe+fyQ4N0E45n1++Dyd2FnlvLMJfDiMPVIrUkOJvwGj89S16pELWJ/NgraNYi1ZaUuimpBjwK/zrLRq3tJ0cpzSuq2dpKTtQ18K8FsCm3qQqsiot1qf2ILeSCH82DTATi+pnq0TVSkVGmY2S44ubFa8NIkF4dy1cSoDAf0aFpY8RlrdJZLbAlWmg/g80GdWoKcnMbQJjXfCw+YC5IsQl5A9RQ4uVGsrag8QsSHt6aJHDVS1aJ2AqEFPQosXOKnfj2jxAQinw927JKJl7GiiV98fhj/C7z1OxxxQd9W8NggXZVaRYiTZ4jk5v+e9pDnVCX5BeTkSB6ecBjP6PlqoVOLuSYc3PEZPPutyqo5nKfKzM98WeXDa5IeLehRYMVqSa+b9jDnTxf7DvlYts7DyLe38GqDeYmZsaKJLB4fTF0CV78Pd0yFRVtC+9z2Q/DFsuAFXBOrxnpVVUeHXCJNfjXn34PWcZ7lAKzN3z5Ci7gmCB4fXDgB/t6hilsMAZ8vg/8bWHZDp1W71OJsYNGTywvzN0fOZk3coAU9kujYuKa8fPl3oZiD8rDzPDBmNlzSufTMoBNqqRtCIBYjouXmYSfHDfPWqkWmvq1CK7XXAFrQI0My5I1rYsOMY5SdW034bQOc3/7Yn21dT1UlLtqi8vwLsFki1q417Hz3D1z7oXoyAfD64H/DVM2Cpkx0DD3cJHI1pyb21EgpFLOiSFQ+dFl8OFJVo9pMdRNoUUf1Xk+EeaSHcmHkZHVDy3apl9ML//pcNT/TlIn20MOF9so14eDq7ipmHtjMy2GBXiGUnVdzwMQrVd8Ypyd4m4J45euVwW9mPqkaXP2rf/RtSjC0oFeEQMHWQq4JF12OVwugY2YXlp07LPDZ9eVrkeCwluzNHu/keoIPhfD6VFxdUyZa0MtDgRceKNx60VMTTm7qrRZAf9ugwiy9mlW8301WHjwxR3m4EhWDf/xcqBXZ6fMVon9reOzrkttTrHBO2+jbk4BoQQ8VnbGiiSY1U0tfAA0Fv19N3lm3t3CRdOpf8MdG+P0etVgaTzSvowZAvPkr5HlVv5w0GwzuAN3KMf4tnnB71e8+vZxtdytInP1F45BkiY1n7oX/mwm/blAX16jT4K6+idfpUBM6P65TjdCKZrx4/LDnCMxaCReeHDvbjsXDA+GsE+HTxcrWYSer1MVEWQcoINsF93+p0lC9fmhZB168SLVQjiBa0I9FfkFQUnjlOw7DWa+q3h5SqiyCl36A9Xth/GWxtk4TKVbuCj6QOMcNK3bGp6CDEr0IC1/Eufp91amx4Pe/Zg8Mnwg/3hXRjCOdthiMgtTDl2cnvpiD6u3s9BSfwJLnga+Wq3JxTXLSrHbwQQ1pNhXe0ESGzL0wf1PJm6nbB2/+EtFTaw+9KMkSXglk0ebij90F2C2wZjc0qhF9mzSR55y2qsoyz6NS/0ClBaba4MKOsbUtmfD44K+t6nfbuQlsPqDWJ5wBgu71K089glRdQS8Q78BtyeCRB9KuPizcoi6oori90Ex7ahHH7YX/zYP35qtw1xkt4YnzoWntyJ1z9xHweGH2LXD3NBVPl0DPZjBuuBJ1TeX5YS1c/5FKt5SojJyxQ4OHumwmnHp8RM2pmhOLqlrGyoZ9cMa44iXldgv0bg5TRsXOrqrC1e/D92sLh0QbAqo74M97oU56eM+15YASmBU7QQANqsObl0OHBkpw9GSl8LErC7o8X7IILMOuFnZnryp8zxBq++//gvrVKnfeUiYWVa0YekFsvKr1H29eBz6/XnnqplBf6uGd4N2rYm3Zsdl+SA1q+N88WL4j1tZUnA374Ps1hWIOhQ233v0zvOfy+uC8N2DJNuUhOr2wcT8MnQCH8rSYh5vPlqi/ZSB+Cf1aw739lXin22FQO/ju9sqLeRmE9BcWQgwExgEmMFFK+WzA+/cA1wNeYC9wnZQyfvp1JmtsvDx0PQF+uVsJidWI73TFz5fC7VOVR+n1wYvzYERXeGZw4qWvrdoF1iDxVKc39D7nofLDOshylhQZnx8+Xgx39g3v+ao6B3KDh1Y8PlXQdVc/9YoiZXroQggTeA0YBLQDLhdCBA7aWwJ0kVJ2BD4Dng+3oRVGN8sqToo1vsX8cJ4Sc6dXfVl8+d7shwtVQUyi0by2uikFYjOhbf3wnmv7oZLrJKB+l1v0tR92Tm+pMoYCMQ3o3SL69hBayKUbkCml3CCldAOfAEOK7iCl/EFKmZv/zz+BxuE1swK0PFA1wyuJzry1wW84eR71iJtotGughmLbAn4mqwk39AzvuTo3UXHzQNJs0COExl6a8nFGS+jRtPgCc2p+ZWv7hjExKZSQSyNga5F/bwO6l7L/KGB2sDeEEDcCNwJgNAnNwlAoKAIqSlVa9KwSiMQLtxTw8bXw76/gy2Uq/HFSQxg7LPzpoh0bKZH5KbNwMc5mQsPqSmQqSlYeLNkOtVKhfYPE/TuEGyHgo5EwdSl8skg5Ild1rdzvupKEdZVECDEC6AKcEex9KeUEYALkZ7lUlqLVnEUFXYdWEpf+rYN33EuxwMWdom9POKjmgPGXwivDVTl7SgS7IE66Ct76Dd5boEJWw05WLR4quiD62s/w9FyVV+31Q+MaMPU6aFwzrGYnLBYTLj9VveKAUP7K24Gi7nTj/G3FEEIMAB4CzpBSusJjXilUtdTDqkK1FHj9Ehj9qfq316++NCN7JH7YwGJGfv3CasItp6tXZfkpE579RsXgCxZ11++Fy96FX++p/PE1YScUQV8ItBJCNEMJ+WXAFUV3EEJ0At4EBkopI1sKpTNWkp/BHaF7M5i+HPLccPaJcGKYFxA1ZTPhV9WjvCg+qSoh/9ml/yZxSJmCLqX0CiFuA+ai0hbfkVKuFEKMARZJKacDLwDpwFSh4mtbpJSDK22djo1XXY7LCP+ioaZ87MsJvt004GBedG3RhERIgTUp5SxgVsC2R4r8/4Aw21UYUgkUdO2VazTR4dx2sGJH8J4kHRvFxiZNqcRf6digTGi1P+FDKrVFCtnSjYsgOcgaTSJw7WkweaFqv+z0qpRIhxWePD94/rUm5sSPoCdJbPw8awvGp55FPSMVP/CRaxW35X6HkyAVZRpNPFPNAfPuhPf+hLmroV4G3Ngr8XuVJzHx0ZwrSTJWupr1+aHa5aSJwrS0POlhhns9l+ZMj6Flx+CfXfDSj7B6F5zSWJWG6z7ZGk18U0pzrth66EnilRfwQEoPUiielpYirFxga0m93FT2HC2mjQP+3AjD31a5yn6pRP2LZfD1aOgQmyq3mHAgBx6bBTNWqH8POxkeGQTVU2Jrl0ZTAWLXbbG6K+l6rLQ2amKIkr9St/TSxIhsl7Vyc9+XqpqwoJGTT6rRZA/NiK1d0cTjg3Negyl/qaZWWU74aBGcNz54cZNGUxZSKmfpi2WwaX/UTx87D73J4YQPsQTyu3cHbcxaWEVxL90mTNb64uim5fXB6t3B3wt3B8B4ZvbK/EEQ07N/PQAAC51JREFURcTb7YOtB9XgggEnxs42TeKxMwuGvKn6pAuhHIahJ6sKYSM6vnPV6oceYZ51/kkeXnyyUCCypZuxeYs4gruUT0YZ0wg+axLUQlhVYcVO9VQSiNOr3tNoysOoycorz3FDtkuFM6f/De8viJoJWtDDyEb/Ybod/oDpnkwO+PNY4zvAnTnf87AzsoNhy40QcE13lYJWlBQr3NQrNjbFguZ1gqffOSx6cVhTPvYcUYNFfAFJJrkemPhH1MyIn7TFJGGN/wDDsr+MtRll8+gg2JsNM1eoxk0uL1zaGe7oG2vLoseQjvD4rOJrCaaA6qlqwoxGEyq5bvXkG6zuJCfyra0K0IIea7YdVDHcprWi25bUZoEJl6sY8ub90KIu1E6L3vnjgRQrzL0V7pwGv21Q2/q2hJeGqyZXGk2onFALaqaUnC9qM+H89lEzQwt6rMjcC9dOVjMnhYA6afDWFWpUXDQ5LkO9qirH14IvbgB3fuGXTX8lNBVACHjtUrhyknLQPD5Itaoh4HdHbwydvnpjgdsL57+hmh8VFHZtPQQXTYS//h3+SfCastFCrqksp7dUbYXf+UN1pOzTUoUx0+1RM0FfxRVl4341w7FdfahVzlDF3H/Uo1lgla7Pr3Kiw9HLWqPRRJ8TasHj58Xs9FrQy0tWHlz1gcrXtplqMfHGXmqRMdQY+K4s9UgWiNOrPHWNRqOpADptsbzcOgUWbAKnR1UWurzw9u/wyV+hH6Pr8SqbIpA0G5yW4FN5NBpNzNCCXh4O58F3a1Q1YVFyPfD6z6Ef55TGKt5WdLZkQe7zuTpdTqPRVAwdcikPR5z5JbxBwiUHytl4672r1OLJ+wvB44XhnVTsPNIzJzUaTdKS3IJ+xAWfLILfNyjvd2QPaFKJaeUNq0N1hwq3FMUU0K9V+Y5lMeHG3uql0SQj2S5VuLYvWw34PrVJdGstqiDJK+j7suHMl5XnnOdRC5gTfoep11V8erxhwNhhcP1HhW1nbSak2eGBs8Jrv0aTyCzbDhdOUJlbLq/6npzeUj2Z6qfQiJG8MfTnv1X9FQoqt9w+VZ5765SS6YLlYWA7mDVa9c3u3ARG94Hf7oHGlfD8NZpkQkq4+n2VNJDjVjNIcz3wcyZ8uCjW1iU1yeuhf72qeFvUAnZmwa4j0KAS/ck7NoI3L6/45zWaZGbN7uBrSrkeNaP0mu7Rt6mKkLweeqo1+HYpISV572MaTczxSTVQOhh+PTgkkiSvoI86rXhaIIDFUPHzGqmxsUmjqQq0PS54uXuKFS47Nfr2VCGSV9Bv6AUD26r87nS7KtppUQfevCzWlmk0yY1hwLsj1HeuoOd+mk2tOelwS0RJ3tiDacDEK1VXw7+3Q6Ma0O0EnTal0USD7k1h6QPw+TLYnQU9m8MZLaM2ii0ibD8E6/Yqx7Ay6c8RJHkFvYCWddVLo9FEl1ppcH3PWFtReTw+uOVT+Hpl4TCYAW1Uu2t7fEloAt8uNRpNudh+CH7KVP/VhM7z38LsVUrIC/o3fb8GHpsVa8tKEF+3F03F8PlV/+VqDt1LXVMStxdu/hTmrCr0MM9tB69fGrwP/Kb98NbvsHYP9GiqKqyr2jSrorz7Z8lJRE4vfLAAnr4grsK4WtATnZnL4Z4v1AXn86tY5VuXQ02dyaPJ54k5MHe1EnJX/mSm2avh2W/hkUHF912wCS56W/UX8vhV24w3foUf7qi6xXPZ7uDbnfkzDeJI0HXIJZFZuk15XvtzVBWsywu/rocrJsXaMk088f6Ckv2HnB7leQZyx2fqWiooynN6VZfRMXMib2d5kVL1a/JFOLe92zHGQp7cOO4WeePLGk35GP9LocdVgMcHy3eo7B6NRkpVfh+MwGn0h/Ng04GS+/mkihnHEzOWQ8dnoOVj0OxReHJO5IT92cEq9dmaL5cWQ6VhvnBhZM5XCXTIJZHZfFA1CAvEaqoWBzq7RyMEdG4Mi7eWfK9LgOdpsxy7wjPNVvzfO7Pgo4Ww5SD0ag5DOkYv4+OnTBj9aWFc2+tWYSGnB568IPzna9cAfr1bOVBLtkGHBjD6dGhWO/znqiRa0BOZ01vA39vAFdCf3eWFk+rHxiZN/PHCULjgDXVdeP3K07RZ4LkhxfdLsarmc3NWFR/ikmKFUUXSD+dvgovfVsdyeeGLZfDiDzD3VrUwH2me/7bkImWeBybNh/+cA6m24J+rDE1qwtODw3/cMBNSyEUIMVAIsUYIkSmEeCDI+3YhxKf5788XQjQNt6GaINzYC6qlqEfAAlJtMLp3+QdXa5KXkxvBz3fBNd2g6wlwdXf45W7o0LDkvi9dpGLDqVbIsCuv+7yT4NY+6n0p4caP/7+9uwuxog7jOP796SYlmqRLbC+aRQr5AhXSy0VUbIV0oYRSBkaCKShGoHSTN1JXFXZTQi0YRdCLCcVCLxK2IkSCginuRqGbxVYQvuRFkSb8upjZ9uzhbGdid2aOc54PDMyc/bP7nIc5z875/+c8J5nGGZ7u++NCcpfVq/uKeT6Dpxs/LiVts9tY0yt0SZOBHcCDwBBwUFKv7YGaYWuBs7ZvlrQKeBF4LI+AQ43OabDvGdi+F774DmZOhY33wIpby44stJq5s+ClR5qPm3EFfL4R+n9NplMWdsGcmSM///FMsghf7/xF+OgobF06cTGPZfG1jef0JwFd4+iiWgFZplzuAI7bHgSQ9D6wHKgt6MuBben+buA1SbLH03g8ZNJ1ZfKWOoSJtPCaZKs3paPxug0UN4f+3EPJ7ZS10y5TL4Mt3Y3vq28jalZzJa0Eltp+Kj1+ArjT9qaaMcfSMUPp8Yl0zKm637UeWJ8eLgKOTdQTqYBO4FTTUe0hcjFa5GO0ds/HDbYb3vFQ6L8z2z1AD4CkQ7aXFPn3W1nkY0TkYrTIx2iRj7FlWRT9GZhdc3x9+ljDMZI6gBnAGCsXIYQQ8pCloB8E5km6UdIUYBXQWzemF3gy3V8JfBnz5yGEUKymUy62L0raBOwBJgNv2u6X9DxwyHYvsBN4R9Jx4AxJ0W+mZxxxV1HkY0TkYrTIx2iRjzE0XRQNIYRwaYheLiGEUBFR0EMIoSJyL+jRNmBEhlxsljQg6aikvZLG6NtZDc3yUTNuhSRLqvStalnyIenR9Bzpl/Ru0TEWJcNrZY6kPkmH09fLw2XE2XJs57aRLKKeAG4CpgBHgAV1YzYCr6f7q4AP8oyprC1jLu4Hpqb7G6qai6z5SMdNB/YDB4AlZcdd8vkxDzgMXJUeX1123CXmogfYkO4vAE6WHXcrbHlfof/bNsD2BWC4bUCt5cDb6f5uoFtqoa8AmThNc2G7z/af6eEBknv+qyrLuQHwAklvoL+KDK4EWfKxDthh+yyA7d8KjrEoWXJhYLhxywzglwLja1l5F/TrgNpGzEPpYw3H2L4InANar9Hw+GXJRa21wGe5RlSupvmQdDsw2/YnRQZWkiznx3xgvqSvJB2QVEAnrFJkycU2YLWkIeBT4OliQmtt7d3JpkVJWg0sAe4tO5aySJoEvAKsKTmUVtJBMu1yH8m7t/2SFtv+vdSoyvE48Jbt7ZLuJvkczCLbOX8fXWvL+wo92gaMyJILJD0AbAWW2T5f//MKaZaP6SQN3PZJOgncBfRWeGE0y/kxBPTa/tv2D8D3JAW+arLkYi2wC8D218DlJE272lreBT3aBoxomgtJtwFvkBTzqs6PDvvPfNg+Z7vT9lzbc0nWFJbZPlROuLnL8lr5mOTqHEmdJFMwg0UGWZAsufgJ6AaQdAtJQW/7L9LNtaCnc+LDbQO+BXY5bRsgafj7nHYCs9K2AZuBMW9fu5RlzMXLwDTgQ0nfSKo/iSsjYz7aRsZ87AFOSxoA+oBnbVfu3WzGXGwB1kk6ArwHrKnoheD/Eh/9DyGEiohPioYQQkVEQQ8hhIqIgh5CCBURBT2EECoiCnoIIVREFPQQQqiIKOghhFAR/wC+bLqZ8lYTcgAAAABJRU5ErkJggg==\n", + "image/png": 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -466,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -478,14 +519,13 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -515,7 +555,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -529,38 +569,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.878\n" + "0.462\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 221, - "metadata": { - "tags": [] - }, + "execution_count": 18, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -671,7 +709,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { "id": "Xj2m2NQCWOCl" }, @@ -724,7 +762,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -738,38 +776,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.922\n" + "0.924\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1937260319.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 224, - "metadata": { - "tags": [] - }, + "execution_count": 20, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -1466,7 +1502,7 @@ "provenance": [] }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1480,7 +1516,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.1" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation11/spherical_harmonics.ipynb b/Recitation11/spherical_harmonics.ipynb index 605b8a8..dc0af5a 100644 --- a/Recitation11/spherical_harmonics.ipynb +++ b/Recitation11/spherical_harmonics.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -29,9 +29,24 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "MathJax.Hub.Config({\n", + " TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n", + "});\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "%%javascript\n", "MathJax.Hub.Config({\n", @@ -137,7 +152,7 @@ "Proof that $m$ must also be an integer.\n", "\n", "> **ANSWER 1:**\n", - "Your answer here" + "Phi must be periodic in phi!" ] }, { @@ -244,7 +259,7 @@ "Given a function $f(\\theta, \\phi)$, how would you find $a^m_l$?\n", "\n", "> **ANSWER 3:**\n", - "Your answer here" + "Integrate the function against Y^m_l :)" ] }, { @@ -260,7 +275,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -273,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -323,9 +338,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, axes = plt.subplots(1, 5, figsize=(15, 6), subplot_kw={'projection': '3d'})\n", "\n", @@ -726,7 +793,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation12/MIT_8S50_recitation_12.ipynb b/Recitation12/MIT_8S50_recitation_12.ipynb index 8c16be0..9671d36 100644 --- a/Recitation12/MIT_8S50_recitation_12.ipynb +++ b/Recitation12/MIT_8S50_recitation_12.ipynb @@ -1 +1,193 @@ -{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"MIT_8S50_recitation_12.ipynb","provenance":[],"collapsed_sections":[]},"kernelspec":{"display_name":"Python 3","name":"python3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"j_OYjrski6wJ"},"source":["# MIT_8.S50 Recitation 12: Additional features of the Discrete Fourier Transform (DFT)\n","\n","Author: Juan Mena-Parra\n","\n","Date: December 08, 2021\n"]},{"cell_type":"markdown","source":["# Preliminaries\n","\n","QUESTION: What is the Fourier transform of $f(t)=\\sin(\\omega t)$? and of $f(t)=e^{i\\omega t}$?\n"],"metadata":{"id":"u9C9AJMv4shG"}},{"cell_type":"markdown","source":["# Part 1\n","\n","The discrete Fourier transform (DFT) of a discrete signal $f(n)$ of lenght $N$ is\n","\n","$F(k) = \\sum_{n=0}^{N-1} f(n)e^{-i2\\pi k n/N}$\n","\n","The inverse discrete Fourier transform (IDFT) is\n","\n","$x(n) = \\frac{1}{N}\\sum_{k=0}^{N-1} F(k)e^{i2\\pi k n/N}$\n","\n","For what follows, you may need to write functions that implement the DFT and IDFT of a function for given values of $k$ and $n$, respectively\n"],"metadata":{"id":"jnxnxlpt49Pe"}},{"cell_type":"code","metadata":{"id":"KEi4u01GLuE-","executionInfo":{"status":"ok","timestamp":1641915586147,"user_tz":300,"elapsed":4,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"source":["# Add your code here"],"execution_count":1,"outputs":[]},{"cell_type":"markdown","source":["Consider the discrete function $x(n)=\\sin(2\\pi\\cdot 0.02n)$\n","\n","Plot $x(n)$\n","\n","QUESTION: What is the period of $x(n)$ in samples? This corresponds to an analog signal sampled at 100 Hz. What was the period of the analog signal in seconds?\n","\n","For $N=100$ compute the $X(k)=DFT\\{x(n)\\}$ for $k=0, \\cdots N-1$. Plot |X(k)| vs $k$. \n","\n","QUESTION: Is |X(k)| what you expected based on your intuition from the Fourier transform of a sine function of continuous time $t$? yes/no, why?\n","\n","Compute $y(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots N-1$. Plot $y(n)$ vs $n$.\n","\n","QUESTION: is $y(n)=x(n)$ from $n=0, \\cdots N-1$? yes/no, why?\n","\n","Compute $z(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots 3N-1$. Plot $z(n)$ vs $n$.\n","\n","QUESTION: is $z(n)=x(n)$ from $n=0, \\cdots 3N-1$? yes/no, why?"],"metadata":{"id":"x9OqOQQmrbpW"}},{"cell_type":"code","metadata":{"id":"zVKxHwN839vn","executionInfo":{"status":"ok","timestamp":1641915636126,"user_tz":300,"elapsed":3,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"source":["# Add your plots here"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","source":["# Part 2\n","\n","Repeat the same procedure above and answer the same questions for $x(n)=\\sin(2\\pi\\cdot 0.025n)$\n"],"metadata":{"id":"GEjvLbYqxt-C"}},{"cell_type":"code","source":["# Add your plots here"],"metadata":{"id":"nN660UbWxsQF","executionInfo":{"status":"ok","timestamp":1641915649096,"user_tz":300,"elapsed":156,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"execution_count":3,"outputs":[]},{"cell_type":"markdown","source":["# Part 3\n","\n","QUESTION: How does the DFT help with the inversion of $N^{-1}d$ for the CMB project? What are the trade-offs, if any?\n"],"metadata":{"id":"dcOoJNYqmRbA"}}]} \ No newline at end of file +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "j_OYjrski6wJ" + }, + "source": [ + "# MIT_8.S50 Recitation 12: Additional features of the Discrete Fourier Transform (DFT)\n", + "\n", + "Author: Juan Mena-Parra\n", + "\n", + "Date: December 08, 2021\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u9C9AJMv4shG" + }, + "source": [ + "# Preliminaries\n", + "\n", + "QUESTION: What is the Fourier transform of $f(t)=\\sin(\\omega t)$? and of $f(t)=e^{i\\omega t}$?\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jnxnxlpt49Pe" + }, + "source": [ + "# Part 1\n", + "\n", + "The discrete Fourier transform (DFT) of a discrete signal $f(n)$ of lenght $N$ is\n", + "\n", + "$F(k) = \\sum_{n=0}^{N-1} f(n)e^{-i2\\pi k n/N}$\n", + "\n", + "The inverse discrete Fourier transform (IDFT) is\n", + "\n", + "$x(n) = \\frac{1}{N}\\sum_{k=0}^{N-1} F(k)e^{i2\\pi k n/N}$\n", + "\n", + "For what follows, you may need to write functions that implement the DFT and IDFT of a function for given values of $k$ and $n$, respectively\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "executionInfo": { + "elapsed": 4, + "status": "ok", + "timestamp": 1641915586147, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "KEi4u01GLuE-" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def DFT(f,k):\n", + " fk = 0\n", + " for i in range(len(f)):\n", + " fk += f[i]*np.exp(-2*np.pi *k * i / len(f) * j)\n", + " return fk" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "x9OqOQQmrbpW" + }, + "source": [ + "Consider the discrete function $x(n)=\\sin(2\\pi\\cdot 0.02n)$\n", + "\n", + "Plot $x(n)$\n", + "\n", + "QUESTION: What is the period of $x(n)$ in samples? This corresponds to an analog signal sampled at 100 Hz. What was the period of the analog signal in seconds?\n", + "\n", + "For $N=100$ compute the $X(k)=DFT\\{x(n)\\}$ for $k=0, \\cdots N-1$. Plot |X(k)| vs $k$. \n", + "\n", + "QUESTION: Is |X(k)| what you expected based on your intuition from the Fourier transform of a sine function of continuous time $t$? yes/no, why?\n", + "\n", + "Compute $y(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots N-1$. Plot $y(n)$ vs $n$.\n", + "\n", + "QUESTION: is $y(n)=x(n)$ from $n=0, \\cdots N-1$? yes/no, why?\n", + "\n", + "Compute $z(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots 3N-1$. Plot $z(n)$ vs $n$.\n", + "\n", + "QUESTION: is $z(n)=x(n)$ from $n=0, \\cdots 3N-1$? yes/no, why?" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "executionInfo": { + "elapsed": 3, + "status": "ok", + "timestamp": 1641915636126, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "zVKxHwN839vn" + }, + "outputs": [], + "source": [ + "# Add your plots here" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GEjvLbYqxt-C" + }, + "source": [ + "# Part 2\n", + "\n", + "Repeat the same procedure above and answer the same questions for $x(n)=\\sin(2\\pi\\cdot 0.025n)$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "executionInfo": { + "elapsed": 156, + "status": "ok", + "timestamp": 1641915649096, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "nN660UbWxsQF" + }, + "outputs": [], + "source": [ + "# Add your plots here" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dcOoJNYqmRbA" + }, + "source": [ + "# Part 3\n", + "\n", + "QUESTION: How does the DFT help with the inversion of $N^{-1}d$ for the CMB project? What are the trade-offs, if any?\n" + ] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [], + "name": "MIT_8S50_recitation_12.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/Recitation13/Recitation13_learner.ipynb b/Recitation13/Recitation13_learner.ipynb index 4da4928..897e877 100644 --- a/Recitation13/Recitation13_learner.ipynb +++ b/Recitation13/Recitation13_learner.ipynb @@ -125,12 +125,12 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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\n", 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" ] @@ -179,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -240,7 +240,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -271,7 +271,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -385,7 +385,7 @@ "hash": "c34b3f829f55344124a5a0f2100dda58adb8e3cad3250906cc72bb8dd00bb6e7" }, "kernelspec": { - "display_name": "Python 3.9.7 64-bit ('base': conda)", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -399,9 +399,8 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.1" - }, - "orig_nbformat": 4 + "version": "3.9.7" + } }, "nbformat": 4, "nbformat_minor": 2