From 9e4c5f005d5447f6818c5952b9b6163de7cc9dab Mon Sep 17 00:00:00 2001 From: Erik Tjong Kim Sang Date: Tue, 6 Apr 2021 17:49:32 +0200 Subject: [PATCH] updated to version 0.2.0 --- gallery.ipynb | 116 ++++++++++++++++++++++++++++------------- hiccup.ipynb | 26 ++++----- test_five_models.ipynb | 95 +++++++++++++++++---------------- test_mvp.ipynb | 48 ++++++++++++----- 4 files changed, 177 insertions(+), 108 deletions(-) diff --git a/gallery.ipynb b/gallery.ipynb index b49ef2d..b6376f7 100644 --- a/gallery.ipynb +++ b/gallery.ipynb @@ -2,16 +2,18 @@ "cells": [ { "cell_type": "markdown", - "id": "entire-spain", + "id": "eb811e86", "metadata": {}, "source": [ - "Gallery of the kind of peaks and noise the sequgen package can generate.\n" + "# Gallery of sequgen time series functions\n", + "\n", + "Gallery of the kind of peaks and noise the sequgen package can generate." ] }, { "cell_type": "code", "execution_count": 1, - "id": "cross-prison", + "id": "9c4f03e8", "metadata": {}, "outputs": [], "source": [ @@ -32,10 +34,10 @@ }, { "cell_type": "markdown", - "id": "innovative-makeup", + "id": "debfb28f", "metadata": {}, "source": [ - "# Constant\n", + "## Constant\n", "\n", "Generate a time series with a constant value of 5." ] @@ -43,7 +45,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "differential-establishment", + "id": "f3694cd0", "metadata": {}, "outputs": [], "source": [ @@ -53,7 +55,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "sustained-ancient", + "id": "3b06d841", "metadata": {}, "outputs": [ { @@ -77,10 +79,10 @@ }, { "cell_type": "markdown", - "id": "nonprofit-aircraft", + "id": "b740ab4a", "metadata": {}, "source": [ - "# Normal peak\n", + "## Normal peak\n", "\n", "Generate a time series with located in middle of serie and using height of positive height of 5 with a standard deviation of 10" ] @@ -88,7 +90,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "hybrid-madness", + "id": "72a6d314", "metadata": {}, "outputs": [], "source": [ @@ -98,12 +100,12 @@ { "cell_type": "code", "execution_count": 5, - "id": "organic-cornwall", + "id": "0be4b331", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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RVQXPPgt9+sB228Fee2UrSuc6xhO1K3gvvghTp8LvfmedVrJRn7zffnDZZfDmm/bZzkXJE7UraIkEnHwy9O4Np56a3c/+5S+tvvq886xreSKR3c93Ll2eqF3BSiSs+dy8efDNNzB7dnY/v0cPOPJIePllO1IfNsyTtYuGJ2pXsOrqmlt6qOamdYa3AHFx4InaFaw99rAELdL5lh6tGTnSWn5A7pbhXHs8UbuC9ckndj9mTO46pVRVwc032/Svf+0dX1w0PFG7gjV+vDWfu/HG3CbQk06ybuXPP5+7ZTjXFk/UriC98w688IIlUZH2X98ZIracl1+2ay46l2+eqF1Buv12qzs+4YT8LO+442xUveQVY5zLJx+UyRWcadPg+uutx+Cmm+ZnmRttBIcdBrfdZj0Whw3z+mqXP35E7QpKIgHDh8PXX8Orr+a3XXNVFSxbBhde6G2qXX55onYFJdx2urExv+2aGxrs3ttUu3zzRO0KSnKApFy2nW5NTY3VU4O3qXb55YnaFZQvv7T7X/4y/wP6V1XZBXDBLpbrddQuXzxRu4Jy//2w4YbWCSWKRHnaabDJJjBrVv6X7UqXJ2pXMFauhEcfhSOOaK6CyLfychuo6fHHYcWKaGJwpccTtSsYTz0F9fUwenS0cYwebRfQfeKJaONwpcMTtSsY998Pffva0KZR2n9/a1d9333RxuFKhydqVxAaGuCRR+Dww+0q41FKVn889piNg+1crnmidgXhr3+F5cth0KCoIzGjR1sd9Zgx3vHF5Z4nahd7iQScf75N//738UiMFRV2P2GC91J0ueeJ2sXec89ZL0SIT4/AF15ono5LTK54eaJ2sZe8HFZZWXx6BFZXWyxgTQXjEJMrXp6oXex9/LEl6QsuyH9vxNZUVdnJxLIy+OlP4xGTK14+zKmLvcmTYd994ZJLoo5kbcOHW1PBN96IOhJX7NI+ohaRchF5XUQm5zIg58I+/dS6ax96aNSRpHboofDWW/DBB1FH4opZJlUfZwFzcxWIc6k89pjdxzlRQ3OczuVCWolaRLYAfgzcmttwnFvb5MkwYAD84AdRR5LawIGw/faeqF1uiaq2/yKR+4ErgHWBc1X1e8c3IjIGGANQWVk5eOLEiR0KqL6+nl69enXovYWqFMsM7Zd75coyRo3ahx//eCFnnvleHiPLzA03bMPDD2/OpEnT6dGjsc3X+rYuHZmWeejQoTNVdUjKmara5g04FLghmK4GJrf3nsGDB2tH1dbWdvi9haoUy6zafrmvvFIVVK++Oi/hdNhzz1mcxx2n+uKLbb/Wt3XpyLTMwAxtJaemU/WxD3CYiHwETARqROTutH8mnOuARMIG5wf43e/i3fMvOeSq91J0udJuolbVsaq6har2A44GnlPV43IemStptbWwZo1Nx73nX7KXomr8Y3WFyTu8uFjaZhu7j1NvxNZUVzeP6Ne1a7xjdYUpo0StqnWa4kSic9m2eLHd/+Y38emN2JqqKrj3XpseMybesbrC5D0TXSw99ZQdVV95ZdSRpOeII6wJ4dtvRx2JK0Ze9eFiZ9Uqq6M+6KCoI8nMQQfB88/btR2dyyZP1C52XnzRBuUfMSLqSDIzYoQl6WnToo7EFRtP1C52nn7amrxFfW3ETB1wgJ34fPrpqCNxxcYTtYudp5+2E3K9e0cdSWZ69rRR/jxRu2zzRO1iZfFieO21wqv2SBoxAmbPhoULo47EFRNP1C5WbrjBOo5sumnUkXRM8gTomWd6D0WXPZ6oXWwkEjBunE3/+teFmehWrLD7++/37uQuezxRu9iorY3fRWwzNXVq83ShlsHFjydqFxv9+9t9IXQbb034orfendxliydqFxtLl9p9IXQbb413J3e54F3IXWxMmQL9+hVOt/HWHH44bLstvP9+1JG4YuFH1C4WGhutPnfYsKgjyY7hw607+erVUUfiioEnahcLr70Gy5ZZgisGw4ZBfT28+mrUkbhi4InaxcKzz9p9TU20cWTL0KEg0lwu5zrDE7WLhSlTYKedYOONo44kO/r2hd13t3I511meqF3kvv3WLmdVLPXTSckOL8lOMM51lCdqF7kXX4SGhuJM1KtX+7CnrvM8UbvI/f3vVp/bvXvUkWTXvvvacK2XX+5dyV3neKJ2kUokYMIEG4jpsMOKK6HNmgVNTXZE7eN+uM7wRO0i9eSTlsyg+MbGqKuzHyAovrK5/PJE7SLVq5fdF/L4Hq0Jj/tRXl5cZXP55YnaRWrBAktmF11UuON7tKaqCp55xgZn+slPiqtsLr98rA8Xqeeeg/32g//5n6gjyY399rPelm+9FXUkrpD5EbWLzLJlXZk9u3h6I7ampgbmzvXLc7mO80TtIjNrVh+gNBI1+MlE13GeqF1kXnutD716weDBUUeSW7vsAn36WDWPcx3hidpF5vXX12f//e1kWzFLtvjwRO06yhO1i8Rnn8H8+esUfbVHUk0NfPABfP55kXW/dHnhidpForbW7kspUQO8/nqfSONwhandRC0i3UXkFRGZJSJzROTifATmitvEidCtWyPffBN1JPmxww6w/vrw4IObe1dyl7F0jqgbgBpV3QXYFRgpInvlNCpX1BIJePxxWLWqjAMPLI0xMF56CZYvh/fe6+XjfriMtZuo1dQHD7sGN81pVK6oPfhgcgwMKZkxMOrqkmOalE6ZXfak1TNRRMqBmcBA4HpVfTnFa8YAYwAqKyup6+CeWF9f3+H3FqpSK/OCBf2AfpSVNdGli9K79yzq6pZHHVZO9e7dm65dd2HVqnJEmujd+42iL3NYqe3jkOUyq2raN6APUAvs2NbrBg8erB1VW1vb4fcWqlIr87HHqvbtq3rKKe/riy9GHU3+TJ+u2rPnKq2piTqS/Cu1fVw18zIDM7SVnJpRqw9VXRYk6pHZ+ZlwpUbV2hMfdBD8/OeflNRARXvvDfvuu5TZs5uHdnUuHem0+thIRPoE0z2AA4F5OY7LFal58+Dzz0unWV5Lu+32JUuWwJtvRh2JKyTpHFFvCtSKyGzgVeAZVZ2c27BcsUr2zivdRL0M8F6KLjPptPqYraq7qerOqrqjql6Sj8Bccaqtha23hv79o44kGhtv3MC22zZ3+HEuHd4z0eVNU5MlqJoau5htqaqpseZ5a9ZEHYkrFJ6oXd7Mng1ffAFDh0YdSbSGDrXOL6+/HnUkrlB4onZ5k6yXLfVEnbx2otdTu3R5onZ588ADsOGGMH9+1JFEq7ISBgyAW2/1ruQuPZ6oXV5MmwYvvghLl1LyY10kEvDJJ/Dee74uXHo8Ubu8+Mc/7F6Vkh/ronncD2hoKO114dLjidrlRWOj3ZeXQ7duzfW0pai6GioqbLqsrLTXhUuPJ2qXF+++C9tuC+PGwZQplFTX8ZaqqmwdbLEF/PCHpb0uXHo8Ubuc++Ybq58+7DAYO9YTE9g6OP54mDsXvv466mhc3Hmidjn3wgtWLz18eNSRxMuwYdbpZerUqCNxceeJ2uXclCl2pfH99os6knjZe2+rq54yJepIXNx5onY5N2UK7LUX9OwZdSTx0qMH7LOPJ2rXPk/ULqe++AJee83+5rvvGzbMutYvWhR1JC7OPFG7nKqrs7bTnqhTS64XH03PtcUTtcupKVOsymOPPaKOJJ4GD4bevb36w7XNE7XLqUcfhc03h5kzo44knrp0gV12gfvv967krnWeqF3OTJpkAzC9+66PadGaRAJeegm+/NLGqfZ15FLxRO1y5q677N7H92hdXV1z93pfR641nqhdznz1ld37+B6tC4/7IeLryKXmidrlRFMTvPEGjBzp43u0JTnux+DB1q7aT7q6VDxRu5x44w1YsgSOPdbH92hPVRWcey7U18OMGVFH4+LIE7XLiWeesXsf3yM9w4db1cfTT0cdiYsjT9QuJ55+GnbaCTbdNOpICsOGG8Luuzf/wDkX5onaZd0339iIeSNGRB1JYTnwQGuet3x51JG4uPFE7bJu6lRranbggVFHUlhGjLBhT72JnmvJE7XLumeesSZnPqxpZvbeG9ZZx6s/3Pd5onZZ9/DDdpmpWbOijqSwVFTAzjvDxIneQ9GtzRO1y6pHHoEPPrCbdxvPTCJhY6IsWeLdyd3aPFG7rLrzTrv3buOZ8+7krjWeqF1Wffml3Xu38cyFu5MnHzsHnqhdFq1ZY3/dDz3Uu413RLI7+Z572o/c7rtHHZGLi3YTtYhsKSK1IvKWiMwRkbPyEZgrPImEDcT0i194t/GOqqqCCy6AlSutLbpzkN4R9RrgHFXdAdgL+JWI7JDbsFwhevxxGwjfu413Tk2NHVE/8UTUkbi4aDdRq+pCVX0tmP4amAtsnuvAXOF54gm7qvZ660UdSWHr2RMOOMB++JwDEFVN/8Ui/YCpwI6qurzFvDHAGIDKysrBEydO7FBA9fX19OrVq0PvLVTFUObFi7vxs5/tzZgx73PMMfPTek8xlDtT6Zb5vvu24IYbBnLPPS+xySYr8xBZbvm2bt/QoUNnquqQlDNVNa0b0AuYCRzZ3msHDx6sHVVbW9vh9xaqYijzrbeqgurs2em/pxjKnal0yzxvnq3PG27IbTz54tu6fcAMbSWnptXqQ0S6Ag8AE1T1wbR/IlzJePxxu4jtjjtGHUlx2G476N/f66mdSafVhwC3AXNV9arch+QKzbRpMHmyNScTiTqa4iACBx9sw8WOG+e9FEtdOkfU+wDHAzUi8kZwOyTHcbkCkUjYKHmrVsFTT3lCyab+/aGhAS66yLvjl7ou7b1AVV8A/DjJpVRXZ0karPtzXZ23n86WFSvsvqmpuUu5r9vS5D0TXacccEDztHcZz64RI6As+Ib6ui1tnqhdp6y3ng3ANGqUdxnPtqoqOO88m77xRl+3pcwTteuUSZPs/oYbPJHkwtln24nFjz6KOhIXJU/UrlMeeQR+9CPYbLOoIylOG29sP4DJH0RXmjxRuw5buBBeftmqPVzujBoFr78O89Pr8OmKkCdq12GTJ9v9YYdFG0exS/4QPvJItHG46Hiidh02aZK19fXeiLm1/fbWU9GrP0qXJ2rXIc89B08+afXT3hsx90aNsnV+4YXe8aUUeaJ2GUskrHtzY6Md5XniyL0BA2x9X3qp91IsRZ6oXcbCvRHXrPGLsObD0qV2H+6l6EqHJ2qXsWR7aRHvMZcvNTV29RzwdV6KPFG7jCWvNP7LX3pvxHypqoJrr7Vpvx5l6fFE7TL2z3/ChhvCzTd7wsin006DTTaBWbOijsTlmydql5Fvv4VHH4Ujj2z+K+7yo7wcfvpTeOwxqK+POhqXT56oXUaeeMKG3/yP/4g6ktL0s5/BypWWrF3p8ETtMnLffVbt4SezorHPPlb9cd99UUfi8skTtUtbXR088IAlC6/2iEZ5OYwebdVPF13k7alLhSdql5ZEAg46CFavth6JniCi88MfWlvqceO880up8ETt0uKdXOIj2TzSO7+UDk/ULi277Wb33skleuHOL127+rYoBZ6oXVref9/uzzjDO7lEraoK/v53mz7tNN8WpcATtUvLnXfCzjvDddd5YoiDY4+FIUNg6tSoI3H54InatWvePHjlFTjhhKgjcWEnnGBXfvnXv6KOxOWaJ2rXrrvugrIyO4pz8XH00VZXfdddUUfics1bw7o2TZ8O118Pe+wBm24adTQubKON4JBDYPx4WG89O8no1VLFyY+oXasSCWun+9VX8Npr3l43jvbc08aq/sMfvE11MfNE7VpVVwcNDTbd2OjtdeOosdHuvU11cfNE7Vq1yy52722n42v4cG9TXQo8UbtWJVsTnHWWt52Oq6oqmDDBpo8/3rdRsfKTiS6lxka46SY44AC4+uqoo3Ft+dnP4G9/syFo16zxAbOKUbtH1CIyXkQWicib+QjIxcNTT8FHH8Hpp0cdiUvH6afDp5/6ONXFKp2qjzuAkTmOw8XMjTdCZSUcfnjUkbh0/OQnsPnmtt1c8Wk3UavqVOCLPMTiYuLBB2HyZBg50k4iuvjr0gVOPdX+CZ17rjfTKzaiqu2/SKQfMFlVd2zjNWOAMQCVlZWDJ06c2KGA6uvr6dWrV4feW6jiVOY5c3pz1lm70tgodOvWxFVXzWLQoOU5WVacyp0vuSzz9Ol9+f3vdwKgoqKJv/wld9suU76t2zd06NCZqjok1bysnXZQ1VuAWwCGDBmi1R1sJ1RXV0dH31uo4lTm2trmtrmNjeUsX757zpp8xanc+ZLLMoePotesye22y5Rv687x5nluLUuX2n15ubedLjTV1VBRYdNlZb7tioknavedhgZ46CHYfXe7zJO3nS4sVVX2j2jgQOjVq/liD67wpdM87x4gAWwvIp+KyMm5D8tFYcIEWLAALr8cxo71JF2Iqqrg5pvtcl3Jiwu4wtduHbWqHpOPQFy0pk+H886DbbeFESOijsZ1xtChdlGBceNgyRIfVa8YeNWHI5GwL/OSJfDxx/DSS1FH5DpDBI44Aj77zEfVKxaeqB21tc1XGPdR8opDstWtj6pXHDxRu++a45WVeUuPYlFT09xZqbzct2mh80Rd4lavtgvXDhgAl1ziLT2KRVUVPPecXZWnb19ryeMKlyfqEnfbbfDee3DttXDBBZ6ki8k++8Dtt8Pnn8Mtt0QdjesMHxCxhD33HPz3f8POO8OPfxx1NC4XRoywViB/+IN1ZjroIP8xLkR+RF2iEgkbdKm+Ht5+21t6FCsRu3r8smVWteUtQAqTJ+oS9fDDVj8NNti8twooXosX272qtwApVJ6oS1TyqMrH9Ch+1dXQvbtNq9pVe1xh8URdgiZNgmnT7KogPqZH8Uu2APnxj61d9YIFUUfkMuUnE0vMlClw4onWHO+aa+zK1a74VVVZddePfgT/9V924eKRI/0HulD4EXUJSZ5A/Oor6148Y0bUEbl86tIFzjjDhgoYN85PLBYST9Ql5NZb7cQh+AnEUrVokbUEUbVhbX0fKAyeqEvEokX211fETyCWsvCJxaYm2GmnSMNxafJEXQKmT4f99oOvv7Yxiv0EYumqqrJtf/bZ9mN98cU2/rhXgcSbn0wscomE9UxbvdpOHA4cCMcfH3VULkpVVXarqIA//hFmzrSjbP/xji8/oi5yt9zS3LGlqcnrJF2z3r3t3uur488TdRGbNQvuvdfrpV1qQ4dCjx423dQEm2wSbTyudV71UaQmTYITToCePWHiRJgzx5K0/7V1Scn66kcfhfHj4dxzYd48OPxw30/ixhN1EXr8cbsUk6rVQ260kV2s1rmWkvXVgwbBccfBn/4E111nPRk9WceHV30UmQUL4Be/aL4Uk7eXdun45BO7wg/AypX2j8zFhyfqIvLgg7DjjtbzsKLC66Vd+qqrbZ9JJuu//c3GKvdme/HgVR9F4rbb4NRTm6s7rrvOBor3emmXjmR9dV2dtbe/4gr485/hr3+1ix/7PhQtP6IucIkEHHkkjBmzdnXH0qVWL+1fMJeuqirbZ9Zdt/nIuqEBzjvPO8VEzY+oC9izz9ogS42N1gSvWzeb9uoO1xnJapBVq6zZ3rRpduvRwzvFRMUTdQFKJOCmm+CBBywxgx0BnXQSbLWVV3e4zglXg3z8sXWaUoVvv7Uu5wcc4PtYvnmiLjAPPABHHdWcoLt2taOebt2s3bR/eVw2JJvtJRJw5512dN3YCE89Zbfu3b0JXz55oi4QDz1kJ3hmzGiuiy4vh5NP9qNolzvho+uPPrLWIKrWhO/MM61O++23ff/LNU/UMZVI2Nn29daz4UmffdaeLy+3W7Iu2o+iXa6Fj67vusuOrkXg9dfhpz+113hLo9zyRB0jyeS8cqUdPScH+e/WrXmwd/C6aBeN8NF1dbV1ivnTn5oHdTrttOaT2p60s8sTdQQSieadHeCWW/pz991wxx3Ndc9JZWU2LOk//mFHMn4U7aKUPLpOuu462y/B9t2WSbtrVzsB+f77W1FRYa9L7vu+D6cvrUQtIiOBa4Fy4FZV/d+cRlVgWibeVNOqNgbHmjVw9dXNQ4/aUfLWa31ecrQ7VUvMJ59sN9/BXZyEj7A32MAuRrBqle23TU12v2pVcpyZ/tx2mx14qFoCv/xy+/c4dKh9XnvfoVLe79tN1CJSDlwPHAh8CrwqIo+o6lvZDiaRgAkTvv/Lm+vpZP1ba6+rrbUrpKxZY2e699jDdsBp02CddeCqqyzxJjsJNDY275BNTemVvazMknOyBcc113z/r2Mp76gunsJH2Dvt9P2kDcmkLag2/2NsaIBzzmn+nGTVXnl583vKy+35xkZL7OedB998Y9/Figp46SWoqbHXPf98577jucgp2ZTOEfUewHuq+gGAiEwERgFZTdSJBOyzD6j259Zb166TzdZ0KiI2gPpXX3W+DOGk3LIKI7y85NFyckdcvbqJioqylMnZuULRVtJuaGiiS5cyRJrPvSSPuqH5Pvy9Sb4OLLFfcolN//nPzc9fdFF6sfXpY9/xVLkg27km2TEom9JJ1JsD80OPPwX2bPkiERkDjAGorKykLsMh2yZM2ArV/oAAGhQ+u9NBpGtNqypduzYAFW2+rq3psjIFhLKyJkSExkYoL7fnWk537ar86lfvsXx5V3bddRkAr7zSgz32+JbttlsOlM7VNurr6zPeTwpdKZU5mbSvvLL3d/s4wBtv9KF379Vcf/1AVq+WVr8rye9VY6MgosFRece+o126NKCa+jue7VzT0NDE+PEfMWpU9rZ11k4mquotwC0AQ4YM0eoM+zBXVMCECd//5S0vl5xOd+smXHZZ9+/+qnXk/ddcI8GRsP1va/9v0fZrlX3QoDoyXV/FoK6u9MpdimWurk69j48enX51wgYbSKe+o535jme+vDJOOmkADQ2fZG1bp5OoPwO2DD3eInguq5InJsaP/4iTThoA5Lc+KflXLRv1UeHHrU07V+patiBpb7qz39HOvL8jy8vqHydVbfOGJfMPgP5AN2AWMKit9wwePFg7qra2tsPvLVSlWGbV0ix3KZZZtTTLnWmZgRnaSk5t94haVdeIyBnAU1jzvPGqOieLvxXOOefakFYdtao+Djye41icc86l4BcOcM65mPNE7ZxzMeeJ2jnnYs4TtXPOxZxoW/2rO/qhIouBjzv49g2BJVkMpxCUYpmhNMtdimWG0ix3pmXeWlU3SjUjJ4m6M0RkhqoOiTqOfCrFMkNplrsUywylWe5sltmrPpxzLuY8UTvnXMzFMVHfEnUAESjFMkNplrsUywylWe6slTl2ddTOOefWFscjaueccyGeqJ1zLuZik6hFZKSIvC0i74nI+VHHkysisqWI1IrIWyIyR0TOCp7vKyLPiMi7wf36UceabSJSLiKvi8jk4HF/EXk52Ob3iki3qGPMNhHpIyL3i8g8EZkrIlXFvq1F5P8F+/abInKPiHQvxm0tIuNFZJGIvBl6LuW2FXNdUP7ZIrJ7JsuKRaIOXUD3YGAH4BgR2SHaqHJmDXCOqu4A7AX8Kijr+cAUVd0WmBI8LjZnAXNDj/8IXK2qA4EvgZMjiSq3rgWeVNUfALtg5S/abS0imwNnAkNUdUdsaOSjKc5tfQcwssVzrW3bg4Ftg9sY4MaMltTaQNX5vAFVwFOhx2OBsVHHlaeyT8Ku8P42sGnw3KbA21HHluVybhHsuDXAZOxCc0uALqn2gWK4AesBHxKctA89X7TbmuZrrPbFhlGeDBxUrNsa6Ae82d62BW4Gjkn1unRusTiiJvUFdDePKJa8EZF+wG7Ay0Clqi4MZn0OVEYVV45cA/wWSF6rfQNgmaomrzVdjNu8P7AYuD2o8rlVRHpSxNtaVT8D/gx8AiwEvgJmUvzbOqm1bdupHBeXRF1yRKQX8ABwtqouD89T+8ktmnaTInIosEhVZ0YdS551AXYHblTV3YAVtKjmKMJtvT4wCvuR2gzoyferB0pCNrdtXBJ1Xi6gGxci0hVL0hNU9cHg6X+LyKbB/E2BRVHFlwP7AIeJyEfARKz641qgj4gkrzJUjNv8U+BTVX05eHw/lriLeVsPBz5U1cWquhp4ENv+xb6tk1rbtp3KcXFJ1K8C2wZnhrthJx8eiTimnBARAW4D5qrqVaFZjwAnBtMnYnXXRUFVx6rqFqraD9u2z6nqz4FaYHTwsqIqM4Cqfg7MF5Htg6eGAW9RxNsaq/LYS0TWCfb1ZJmLeluHtLZtHwFOCFp/7AV8FaoiaV/UlfGhyvVDgHeA94ELoo4nh+XcF/s7NBt4I7gdgtXZTgHeBZ4F+kYda47KXw1MDqYHAK8A7wH3ARVRx5eD8u4KzAi298PA+sW+rYGLgXnAm8BdQEUxbmvgHqwefjX27+nk1rYtdvL8+iC//QtrFZP2srwLuXPOxVxcqj6cc861whO1c87FnCdq55yLOU/UzjkXc56onXMu5jxRO+dczHmids65mPv/a7ZVGozHzCYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] @@ -115,16 +117,16 @@ } ], "source": [ - "plot('Normal peak location=50, stddev=10, height=5, sign=1',\n", - " normal_peak(t_predict, location=50, stddev=10, height=5, sign=1))" + "plot('Normal peak location=50, stddev=10, height=5',\n", + " normal_peak(t_predict, location=50, stddev=10, height=5))" ] }, { "cell_type": "markdown", - "id": "fallen-coach", + "id": "f96629f7", "metadata": {}, "source": [ - "# Sine signal\n", + "## Sine signal\n", "\n", "Generate a single sine signal which starts from origin and has an amplitude of 5" ] @@ -132,7 +134,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "animal-solid", + "id": "07d9c865", "metadata": {}, "outputs": [], "source": [ @@ -142,7 +144,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "hourly-tragedy", + "id": "3b7d2db4", "metadata": {}, "outputs": [ { @@ -165,7 +167,7 @@ }, { "cell_type": "markdown", - "id": "genuine-elevation", + "id": "c3fad6ae", "metadata": {}, "source": [ "Generate a sine which starts at peak and repeats 4 times" @@ -174,7 +176,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "mobile-monitoring", + "id": "888b0a3e", "metadata": {}, "outputs": [ { @@ -197,10 +199,10 @@ }, { "cell_type": "markdown", - "id": "immediate-schema", + "id": "162492c9", "metadata": {}, "source": [ - "# Triangular peak\n", + "## Triangular peak\n", "\n", "Generate a triangular peak centered at 60 and with height of 5 and base width of 40" ] @@ -208,7 +210,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "behind-stanley", + "id": "473cd96a", "metadata": {}, "outputs": [], "source": [ @@ -217,8 +219,8 @@ }, { "cell_type": "code", - "execution_count": 13, - "id": "exterior-backup", + "execution_count": 10, + "id": "a9a77baa", "metadata": {}, "outputs": [ { @@ -236,23 +238,67 @@ ], "source": [ "plot('isosceles triangle',\n", - " triangular_peak(t_predict, placement=40, width_base_left=20, width_base_right=20, height=5))" + " triangular_peak(t_predict, location=60, width_base_left=20, width_base_right=20, height=5))" + ] + }, + { + "cell_type": "markdown", + "id": "d7128d64", + "metadata": {}, + "source": [ + "## Boxcar function\n", + "\n", + "A boxcar function has the value zero except for some time region where it has the value one." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "aaf7bff2", + "metadata": {}, + "outputs": [], + "source": [ + "from sequgen.deterministic.boxcar import boxcar" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "07caddf1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot('Boxcar function', \n", + " boxcar(t_predict, location=20, width=40))" ] }, { "cell_type": "markdown", - "id": "martial-bridge", + "id": "524584e4", "metadata": {}, "source": [ - "# Gaussian noise\n", + "## Gaussian noise\n", "\n", "To generate a random noise which has gaussian distribution centered at 0 and a standard deviation of 5" ] }, { "cell_type": "code", - "execution_count": 14, - "id": "thick-money", + "execution_count": 13, + "id": "e7bb7568", "metadata": {}, "outputs": [], "source": [ @@ -261,13 +307,13 @@ }, { "cell_type": "code", - "execution_count": 15, - "id": "apart-booth", + "execution_count": 14, + "id": "1db2bbf7", "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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\n", 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" ] @@ -286,7 +332,7 @@ { "cell_type": "code", "execution_count": null, - "id": "seven-horror", + "id": "247664ef", "metadata": {}, "outputs": [], "source": [] @@ -308,7 +354,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/hiccup.ipynb b/hiccup.ipynb index a969324..f5ab566 100644 --- a/hiccup.ipynb +++ b/hiccup.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "gorgeous-ferry", + "id": "9b1c089d", "metadata": {}, "source": [ "# The hiccups\n", @@ -22,7 +22,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "appreciated-arkansas", + "id": "bcf94373", "metadata": {}, "outputs": [], "source": [ @@ -37,7 +37,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "julian-bhutan", + "id": "b785c5dd", "metadata": {}, "outputs": [], "source": [ @@ -53,12 +53,12 @@ { "cell_type": "code", "execution_count": 3, - "id": "early-reduction", + "id": "53ab12c7", "metadata": {}, "outputs": [], "source": [ "space = ParameterSpace((\n", - " Dimension('placement', 0, 59), # minute in an hour\n", + " Dimension('location', 0, 59), # minute in an hour\n", " Dimension('height', 5, 10), # severity\n", "))\n", "\n", @@ -67,22 +67,22 @@ " daily_offset = day * (24 * 60)\n", " for hour in range(15):\n", " parameters = space.sample()\n", - " # add offset, watchout placement should pick a value from timepoints, not an index\n", - " parameters['placement'] = floor(parameters['placement']) + daily_offset + hour * 60\n", - " hiccup = triangular_peak(timepoints, width_base_left=0, width_base_right=2, **parameters) # TODO unable to make peak of 1 time point\n", + " # add offset, watchout location should pick a value from timepoints, not an index\n", + " parameters['location'] = floor(parameters['location']) + daily_offset + hour * 60\n", + " hiccup = triangular_peak(timepoints, width_base_left=1, width_base_right=1, **parameters) # TODO unable to make peak of 1 time point\n", " hiccups += hiccup\n", " " ] }, { "cell_type": "code", - "execution_count": 6, - "id": "comparative-amplifier", + "execution_count": 4, + "id": "bb979b19", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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ZOa3LL3fLuuWWwech1gYX2nVZ0VrnvIULsy+rzDLBoPPlXd4OJdYk3WO71MVk6er165J2WGv3SZIx5uuSLpJ0U4ZlAkAqITTvbjSkSy91j6nt13XKB+ee695POEH61rd6p5Vm9oBfGg1p7Vp3vFm48OjxJkmkiWYjvNb4fT4fhxCeJJEmJ93fk5PkMQDlajTcUAVTU9KSJf6Xt8uS5aleuyRdaIx5kTHGSFon6cF8khU2LnwAdNIqDB85EtaA6SecwAkTCE2rgmdm5tjjzdiYNNIs/c2fz/h9yF/7Y9l9zmOU14E4JYmr9JHCKm8XLXXFj7X2Lkn/IuleST9pLuvGnNIFANGJecB0BncG/NLteDM6Kr3mNe7vz3++d6Vu2qf6od5GR6XLL3d//9EfceMA8FHMFZ9jY0fLo63KZ85nGZ/qZa39S0l/mVNaACBq7YVfmp0CfomtENzreHP88e79DW/oPn9oXVPhl5e/3L2vWlVpMgDU0OiodNZZ0sMPS3/7t+6z1asHe0ptzLJ09QIApFTHEw6AaqQ53oTaNRUAgOOOc+9vfKM7f01Pcz6j4gdAFGK7Wx8aBncG4hJz11QAQH1wPnOo+CkAFz4AACBkdE1F7CivI6uQx42pU/7nfOZkGuMHAACJwZ0RvjoVgodV10IyAHTTaLiWIzMzrhVJnSsUQlLnfUSLHwAAAACoEF2mw/KDH7jxYmZm6j1uDMJBxQ8AIHcUYAEAQKxWrz76d53HjUE4qPgBEAUqGKpVRkVPyH3p0R/7F0Cd0WU6LBde6N5HRsLs5kW5uX4Y46cABBKAusu7ANtoSOvWSRMT0uLFYRay0F1r/x4+zFgJAMpBeR15GBnx73zVaLiuZ2Nj/qUN1aHFDwAgs6LvVCaJq/Sx1r3Tlz4uSSIdOlTtWAlcBAIAQtcadPqqq9wNFVrRooWKn0hQYAUQs7Exad489/e8efSlj037/mSsBABVo+spQpUk7gaK5M+g08STH+jqBeSEZpVAcUZHpXe8Q/rqV6V3vpMYi037/qSbF4Bh5TnO3O23S299q/ubrqcITfuNkwULqr+R0mhIa9dKk5N01a8aLX4KQOub+mk0pDVrpKuvplllVYi7apUxuPMpp7j3004rbh2oXtkFQo4dwFx1vkP/N3/jup3ymG6EaHRUOv549/c3vtH9nFrWua+9q/7kJPFUJVr8ADlIEmlqyv3dKiRQm408fec70pYt0qWXkreAIlABBDitMUKmpsK5Q59mnLluMf/qVx9dFl1PEaIFC9z7m99cbTokFz8jI9KRI9L8+cRTlWjxA+SA8SlQpO98R3rb2/xuUcZjaBGqMvJst9YTdW5VAX+1xgixtp4tXs48072fe24YlV6Az0ZHpQsucH9//OPEU5Vo8RMJ7lRWi/EpUKTbbnPv7YVw8hgQhlbrielpadGio+eIVhfh6elwWlWgHriZ5Zx9NjEJ5OHEE937r/5qtemoO1r8ADmjkFCNmCs/W3dKpHoXwoEQtVpPHDlybOuJVhfhKlpVlDEmF8LFzSygv9CPn6GnH8Oj4qcABBKAPL3pTe59+fL8C+F5dTXhQhLorFvrCVpVIAQxV/pwvgJQJ3T1AuC1RsPdCR8bi7sAOojly/Ov9Fm71rU64JG1qLuiLgK7tZ6oslUFY3IBAFAvVPx4jAte1F1rbIzDh6UlS6iYyFvrEZtS9rGDuJAE+usWXxzXAABAkaj48dSwF7w0V0WMWmNjSAxqXAS6mgD1RNdMAMgm9ONn6OnH8BjjpwB5BFKnC16gbsbGjrYgWbCgd8UEJ7DhMYAnAAAAED8qfjw1yJ34vAZlBXw1OiqtXOn+vumm8ism6nRXPOu2rdO2QpzqlHfpmukXynNHlRmHdYp5AKCrl6f63YlvNKQ1a9ygrEuWSLfdVm76QsW4SeFZvNi9n3NOtekAACBv3/ym9Lu/K42MSIsW0foSAFAMKn4C0KkAkCSu0kdyXcHWry81SUFqNKRLL3Xba/FiClfoj7vig2NbAeGghZ4/vvxl937kCGPZSZxDEA6OnwgNXb0C1d71a8ECafXqypKSWtlNm5NEmpx0B2rGTQL8QBcHVI3CO6r0qle5d2MYZB9AeTj31Q8tfgpQRiCNjkrHHy8dPCh94xvh3R1qNKS1a10FTFlNm3mCUdw4gYVn2KcXAsgHLfT8ccYZ7v3886XPfY5jIAA/fO970l13ues1jktxoMVPwBYscO9vfnO16UgjSaSJiWObNheNJxgBxUnTdYSnF8IHrcoPKo9RpXPPpVxSNmIe6OzOO6W3vlX6i7+Q1q2jVXYsqPhBJapufUPhCqhe1ccBoK4Y4wexIU+jbDHntdaNOIbHiAsVPzmK+QCQN1rfYFjEl9/SdB3hOIDQcVwC4kV8I2a98veaNUf/5sZcPKj4iUTIJycu9gBwHADKwxg/iA15GrGp8uEXrTKZMdyYi0mmwZ2NMS+W9CVJr5dkJb3LWlvbXoDGuAqYkCthAF/1K8wVEXc0HU+PbYe8lJWXyKsA2lGJhKo0GtKll7qnEVf58AtjqPSJSdYWP38t6dvW2l+R9EZJD2ZPEgAgNFT0AOEgXgHyP7IpMv8kiav0kRhjB/lJ3eLHGHOCpNWS3ilJ1trDkg7nkywAqB5Nx9Nj2yEvPucla/1MFwAgXGNj0siIe/rx/Pnlj7FDpWicsnT1Ol3SPkl/b4x5o6Qtkt5nrX2+fSJjzJWSrpSklStXKom6ynKNJKONGzfquONmJI1JUobf3Hv+6emLJS3QHXfc0VzfmgLW1zsNwy9vmO+LMOg6B50u2zzj4+ORx0R2ExMXSFqizZs3a+fOiQ5TjEmSNmzYoCVLjqRci1vG7H3x9NMLJV2kw4cnlSSNvtNnWZckbd26TPfd92KdffZ+ve51B375+eOPL5F0gQ4dekFJ8sOuS+42f9r0PPnkIkmjmpycUJJs7rmUxx47TdIZ2rVrp5JkxzH7bffuTvut//pn27lzlaRV2rFjh5JkZ9/p2xFreRuTlCYGes3X+bvB9nva9EjWrpY0oo0bN0p6y4DLObq+kYHaTndLX7fP89J5+QcPniNpme69d4smJg4OPX8/xNvgHnro5ZJerSeeeEJJ8nBJax2T1G+/DjJNd7t3nynpVD366CNKkscHni/tcX7HDncO2rnTnYMGcejQiNw97GN/57ZtJ0t6jfbu3aMkeajPUsbmzJ/Wvn2vlfQybd26VStW7BtoHmJtGGOS8jveTky4/GPtESXJhtzXd+qpb9bOncfpve/9mSYnnxyq1U/7NeIJJ0x3nGZ8fL6kSzqmf2bGyF1XWiXJ+gHWOCap+299+uk3SHqJ7r//fh133DMDz5d2fZI0Pn6upON1zz336LnnxjOsq7W8CGLNWpvqJek8SdOSLmj+/9eSPtZrnnPPPdfGbGTEjfCzf7/7vzXiT1r95l++3H3/i19Ye/hwMevLssx+82ZNbz+bNll73XXufdh1pklbmnluv/324WaooVWr3Hbdvr3z963tPj6efh3d9t2ePe7zk04abPos6/rmN601xh1Hliw5Nt8+9JCb56yzui930yZrFyxw082eP016rLX2scfcd6ed1n85117rpr3qKvf/GWe4/x95JP36Z7v6ajftNdcMNn07Yi1faWOg13zdvhtkv2eJyYULj567hz1HzMwMto5uyy36PNht+eef7z7fvDnd/P0Qb4P7/OfdNn7Pe8pb5yD7NWve/MAH3Pw33DDcfGmP87PPQYMYH+/8O2+80X12xRX9l5FnDF9+uVvWLbcMPg+xNri8j7fPP++WN3/+8Ou7805rP/rR3mW1QY/TnbRfI3bz7LNumoUL5343NeW+GxkZbH39tu1ll7nvb711uPnSrs9aa88+201z773Z1tUSSqxJusd2qYvJMsbP45Iet9be1fz/XySdk2F5GFKrGV4rK+OoRsM9ivDqq6V166oZER/lKiIGyoyrL3zBre/IkXT9uZNEmppyf9MfHHmo8okiVQjlPJrHfmkvP6Ba7AsgTGljttFwXbeuuUZau7Y+51hUL3VXL2vtk8aY3caY11hrt0laJ+mn+SUNOFaj4S5mx8b6jzD/gx/MvQhmVHr47Iwz3Lsx0sKFw/fnbp8+zfxZcfESl0ZDWr1amp6u9okiOFaj4S4UJiakxYvduY79Uk/DlInQGecrVKHTjTrfYpjYiFOmx7lL+n8k3WyMWShpu6Q/zJ6kcJUdJD4PeJm3YR9ruGbN0b/LuAjmAImsXvlK9/6Wt0jXXz98IWB01MXGoUPSv/6rf4UIhCVJXKWP5G/B1AdlH/s7PeklzX6pU/nBd2n2RatV89SUHxWzVEIBg2sfuHnBgvJv1LVw7VI/mSp+rLX3yY31AxRq2MJu6ztjqi8QAcO48ML0+XXePPd+wQX5pWdQXEjGpeoWZOisdcEwM+Pinf1STz61GGg0XJf6yUlp0SLKXEA/o6PS618v3X+/9LnPES8oT5YxfjBL64KHGtT8jY0d3b7D1I4bwwEV6dF9CXXVftysy4VcCHE+Oipddpn7+wMfSL9fOLaFzaeK2SRxXQ+PHHGVP4wvh7rIcvxctsy9v/71+aQlb5wb4kTFTyRiD9DRUWnlSvf3TTfV4yIEw4k9BoCqcLz1S+tceOaZ1aYD1WmPye9+t9oYbbVCk8JrhUa5AUCdUPGDYCxe7N7P8fDZcRQe4kb3pf5oQYA6CjW/0zUzHlVXzObVCg0IVajngVDTjfSo+EGUOJgBAAB0l1dZiVZoiE2jIX3iE70ftR7ztUbMv63Osj7VCwiStdzpBPJECwKErk4FXVroxSPWfVjHcwlx6YdGQ1q92j3ZcpCn5tUxryJMtPgpAAfs6nHyrJ8i9jX5BwCA8g17/qXch7wkiav0kY4+NQ+IARU/keBEVy22f/HYxgB8E+pxiRZ6/qDCojq+bXPi0g8+PTUvq7R53LfYQD6o+MkRQeKfbidP9hWQLy5eECryLEIWW/5N+3uKqDSJbdtiMO3dunp18wo9f4SefgyPMX6Qq0bDNYmsunaci9D4cAcMAPLBOdIfVbbyYLzD8rSXj3nyWTjYV4gJFT85MsadROtakGo0pLVrXX/YRYuqTk256rrPY+fLxZEv6eiFJuoIVSvP+hxfQGjSngt8OofklZZGQ1q3zpWPFy7s3ookhHM9wkJXL7SjqxdykyTSxIR05Ig7ufnApwIEisVJCkDZQj3uUFEbj1Ye3LRJ+vjHez9+ukx5xMaGDdJ11/nzm9JKEunQIWlmhsGCAVSHFj+R8KHwOXswtEOHKktK3+3hw/ZCOKq+OOIiDQDQTaPhymBTU9LixdIPflBuF5UiWqps2SJ99KPuvLd4cf9HaqdRVllw0MGCOdeHJfRridDTj+HR4ge5mT0YGoD6yFrwpwAClIcuJXFJElfpI8XTouSBB9y7teH/pkEHCwaqQEVjfVDxg0LU7aRG4RkAwsZxHCGy1rUgGWmW6BcsGPwBG3nl+U4tVbJeTJ544tG/Q3+kdru6lY9RrUFivNM0nA/jRMVPAfIOFoJveHT1Qh7IJ4OjiTrqKG2humrEa1xGR6XXv979/bnP+VG5kDXfn3CCe1+1qj6tZGiJB6BIVPwAiAIFpbCx/wAgvWXL3HurAigWp51Wj0ofhCf0ckvo6cfwqPiJQJ0fIQ/UwbB3AfNuvp8Gdy6RF/JS/tim8WAfpufbtqMlHnzhW2wgH1T8BIDgG17ZXb3YR4jRMPmaC0nAL8QiqkTlBerC52Otz2lD+aj4AYAufDlhhngXcNg0+7Kt4Z+y8n9RedDHvB3iMQX5KzJvlp3vufmAQZFHykd8+oGKnwKUlakJIgCdVHFM4EISdcT5F1UjDwLVaMVejOUejitxouIHUaKrV/2wD/xCxTTyUnReqmMeJT4RmzQ3H8j/iF2vPF5m/ufmoB+o+AlAt8BsDx5OXgDyxnEFyK6qOCJ+68HXSjwu8FAXvsXesIjV+qDiBwAiU0UhZPbFB2P8IC9F3ylsLbdOeZC7rygaY/wAYegUM8RRnKj4KUBVJzscxTaJT5WVGVWjQAv4iZiEL9JU4pF/UUd55fuYx/hBnKj4CQAn5vwxxg+QL1oQAJ35eH6gMjke7EOHcxAwly9j/MAPVPwACEK/wlzMJ7Cquk3lsZxBlxHz/gOqQEyhSlkrYMqowCn7QSDAMKqsoC/qBjkxVS0qfiJgLYE0G9sDAIDOaB2BomUth1GOA4B8UfGD4JTZCqGq5cEP7Fe/cMeoGnXZ3ml+Z122DfxFHiwOFaPopejYi6mCPqbfEjIqfgpApQKAKoV4zAgxzcAgfMzbVKJC8nP/+5gmxCWUPJbHcTqU31oEznNzUfETsLpm6EFqi+u2TYAi+Na6jjtGwOA4D4Yh1rIcx2nAbwz8XD9U/OSIICmHbxejKAeDMALVILbiQyVqPHyNz7TpKjNPdksjcYFBxNLVK9b8znlurswVP8aYecaYHxljbs0jQZhrkBOTryf+umD7xynUO7GhpVcKM82IS1Fj/JC30UsMFyehniu7ieV3IGxldfUiv9dHHi1+3ifpwRyWE7yQT9ohoatXPRFfQDU4nsYntgt1xIM8CVQvhjjkPDdXpoofY8wpkv5XSV/KJzlxKDuD1S1D09ULZatrpROxhjqINY/G+rtwLB8Gfu3Uaqmu5034L5RjY9GtAUPZDsjP/Izz/5WkD0o6vtsExpgrJV0pSStXrlSSJBlX6bM1kozuvPNOLV8+JWlMkjL85tb867Vw4dzonJ6+WNICbdq0SUuWzEh6S07rS/p8Nugy+s073LInJi6QtESbN2/Wrl0TPad9/vl5ctvDKknWz1nnhg0btHjxkR5LGDZtI5JWDzWPJI2Pj0ceE9m17/edOzvt9zFJ0h133KkTTphKuRa3jNn7Ys+exZIu1OHDk0qSRt/ps6xr+/ZTJZ2pXbt2KUm2H/Pd448vkXSBDh16QUnyw65Lnpm5RNL8IbdF5/RI0hNPuN8/OTmhJNnccyk7dpwm6Qzt3LlTSbLjl/vtrrvu0p49h/quf/36zse5djt3rpK0Sjt27FCS7Ow57WzEWhpjklzemDev+3dplznod4Pt97TpkaxdLWlEmzZtknTRgMtx69uwYYOWLOl1LpGmpoxc+aDTcscGXN9Re/e+WtLLtW3bNiXJ3q7TTU93X+/Bg+dIWqZ7792iiYmDPdY2fPok4m0YDz30ckmv1hNPPKEkeXiIOcckSRs3btSLXjSj/fvfJOkE/ehHP9LMzHMDzdv7uOumGWQ/7tnzGkkn62c/O5ond+06U9KpevTRR5Qkj/ddRsuuXaskrdKzzz4r6UTt379fSXJf3/lmn4MG8dxz8yVdIunY37lt28mSXqO9e/coSR7qs5SxOfOnnW7fvtdKepm2bt2qFSv29VmeQ6wNY0ySy/fz5vWr9XDT9tq2+/cvkHSxrD2iJNkw1DKee+5sSS/uGa8HDrjj9JYtW3ToUK/j9Fzt14grVhzuOM3TTy+UdFHH9I+Pt2Jj9nVUN2OSum+vp59+g6SX6P7779dxxz0z8Hxp1ydJzz9/rqTjtWXLPTpwYDzDupwoYs1am+ol6TclfaH595ikW/vNc+6559qYjYxYK1n75JPuf1eXmn55rfknJjp/v3y5+37PHmsPHMhvff0+G3QZ/eYddtmrVrnpt2/vP+3+/W7akZHO63z++d7zD5u28fF02//2228fboYa6rffW9t937706+i27x591H1+0kmDTZ9lXddf7z7/4AfnfvfQQ+67s87qveylS4ffFr1+yyOPuO9OPbX/cq691k171VXu/zPOcP9v2zbY+g8d6r+Oq692015zTf9pZyPWhtfaN1NT3b9Lu8xhvhtkv2eJyYUL3bx79w6+nNZ04+P9p52Y6L7cNOl+97vdPDfe2Hu6w4e7L//8893nmzf3Xkba7Uq8De7zn3fb+D3vGW6+1r45cMD9f/HF7v8NGwaft1v5sn2aQbTy5Be/ePSzD3zAfXbDDYMto6UV7+vWuffVqweb72Mfc9N/5CODr2vfvs6/88Yb3WdXXNF/GcMeM3q5/HI3zS239F9eC7E2uF7ntG7T9vLUU26a+fOHX8Yll/SP10GP0520rhF37+4+zZ49bpqFC+d+98wzna+juum3vS67zH1/663DzZd2fdZae/bZbpp77822rpZQYk3SPbZLXUyWrl4XS/ptY8xjkv67pLXGmJsy1UIhlVZWBpAv4gqojzTxHuoxopXuUNOPo1r7sMquVTEMUN0J8YFB+JhPfIvFKs45nOfmSl3xY639iLX2FGvtKkm/J+kH1tp35JaygJHB/Mc+Cg/7bHB5bas8LijYb0C+Bo1HYg9VKvvCM9bKJyCNQY7/nCPqJ4+neqFgBObwyt5m7KPiUIirh2EKKcRbudje2eS9/fJYHhfJkIqN7azL9iFv+pAG5M+nm2O+yvvYUMU5h/PcXFkHd5YkWWsTSUkeywpZVZUNFMoRs0HzN3FQHLYtABQja1ku1rLgsL8n1u0AZDFIPPSqGKHSJC60+EEtUTAITxX7LNSCZGjpHRR3b1CkUMb4ySP/h3psQ32UkTfJ/0DvOAg5RjjPzUXFT46KuhjplmHb10emPhbbAzGpKj9nacY87AmXmPVX1fuGwtuxiKm45FWh7VuFeNm/J88bA75tS6BsnD/iRMVPAQiW+mGfx41CIIC0fDw/0HouHj7mLynsMX583abwSwj5JNbWPIPgPDcXFT8RiD1wi8A2Q8x8GEyWEy3yQuHtWGwH5MXnspAPaWPszjj5sH192tdlnFN8+r11RsVPAAiS4bHN4tNvn7LPw8b+8xf7prsqxx4DyhBzfov5twGDijUOqGyai4ofAOjCl5NF1ekoY4wfoJuy8lJRy696jC7Ezdf9HEPLtLJ/A60b68P3fR3D49wxFxU/EbDW3xO/r3zoCgMUJa/8SL5GHYSWzyk4IwQhj/EDDCJLHvfhhkZo575hUdk0FxU/BYg9kELAPogP+7Q6ZYzxw/71V9X7hsLbsareH0AZyOdAepwv0QkVPzmKrZm4r9geyFMI+YluU0BxshSQiUlULY9WB0UtP1RVXTRzri+HD9u36Bsaw/zGTmnwYRtlRTzNRcVPBMjQ1WMfVK+IfRDqSaOovtlp0pBnWkLdH8jGhybxPi130HgkTsIQ63Et7QVtmduh27pi2xfwj09x70MaUA4qfnJEszp/8AQoxKjsYwxxAol8AGB4HDeGR7fWsISQxxnjh3hqR8VPAaoYODj24G1Xp9+Ko6rc73U/afgyxg8n8Xpiv3fG9ohD1vwdaku4boh3hCZLGamofJ51uVxrxYmKn4D51EwQCFUI8TNsGkP4TYDPBo2hKm/MEOdxyKssF1t+SHvey2M7UOmEohV9DZd1jJ9BvvMd18lzUfGDKJXd1YuDCvLi40nWxzShPBzfwsR+q4eiB3dOK2sLpirzb1Xr9uG314EP4yCWJevNCfJiXKj4CUC3oPP5QFMkDkL1VMW4TVXkNZ/ydx5pybPlBFCk0PJgXcsAscmry0eV+aFThUXWeBr296TZjowHiSyy5A/fuzQWdYO8zJjyfRtXgYofAF7jgD38CZMWbcDgQs3foaYbYWGMn/LU+beHLE2M+NC6i3NI/VDxU4CyA8lagnc27uLEo277igIffFO3GJTy/c113H4ojw/5q4gKiyrH+GnhfIwqlVU5VEY+r6JS04fKNd9Q8ZMjMlY5fNzOPqYpNj4MgFeGXumpqhBaxnp92w+ojyz52+enDRJT6CevPNLpAsvXp5QBeUuT18uqCEkbT8RhnKj4CQDBB1Qj1LsFeRfmq14GUIbQ8mpo6UWYQslnMXSTCrXMERofykiD7OsseTrPsa5CFfKxoChU/OSoqgwWa8B2U+Xjc+GvWPZ5p+NI1b+t6vWjWrHv/6J/X+zbD9XyIX91ukBNm64yK3B4eAp8lqUikGsldELFD2qJwW8xjCr6JNfNMIWUum4jlCeEPEZXL/iiiGNzHQe9jaHVEgbDvi4eZca5qPgpQBWVCmRqxK4uY/zkIe/fRMEEMQt1jJ8Yj12IRwznDWIMvfjc1Wv2enopo6V51ZUwxLJDxU/Aqg6iqlARVi8xFB6H0esEXMUTA31YRgt3yKrB8RQoTtbjex4Xn1mn4dgM5C/LsYExfjgedULFD2op1oNcjAbdV0Xs0yryiY95s4w0+fi7US+htSqkUAufZc33VeZvKrLi5kN5o+g85sNvbEdM+YGKn4ARPN2V3ULCtwNsjNjGg8c82wrIJoQY6pfGEH4DuCCqUrcYIXZQNB+6eqX9LhR17RnTCxU/BWDg4GKxPRAzHwv/PqYJ5eGY2x3bBlXz9eIm63nDt98DzFbWEyGLXk+vWI2l/MfxxKHiJ0dVDlhFhu6s2wGL7YUW3/JCp/SEOBierxcjCE/oeYmuXghZqHGXBbGFYWQZg6eovJbXckOOf+J4Lip+EKXQLxTgh1DzUYitDkPbxohPaHkwtPSiWGkucorMQyGP8UNsoWhFd/UaJg/7dMMRxaLiJ0d1GaCraj5uDx/TFJu6jGcRyx2KWH4Hqo+tug2CmReegFkP7MP02Hb1lPd+L/rcVNST+9I+6j0Uod68LRIVPxEgQ3dHV6/w+XDSKTMNve68VJVvfdgHQJmqfJrgoIjLeitr/6fN42WP8VP1eRL1kyWv+dTVq9e0scRTLL8jq9QVP8aYU40xtxtjfmqM2WqMeV+eCQsZmat6FADiUdbgeTHJ6zeVOcZPjPsB+Sj6eF70BXRoj4lHGGbv/1jygw/lNypVMYw0edWnrl5FzO8D4niu+RnmnZb0p9bae40xx0vaYoz5rrX2pzmlDU001z6Wj7/VxzTFpi7b2MenK/iy7X24IKijumzvuvxOxMXXfFv2GD95tqDwdZsCRSC/10fqFj/W2r3W2nubfx+U9KCkV+SVMPTHRVB/1PaGr24DPMYSz8Qe8sIYP5312x7cNApD2rLc7P3v2+DOaRUd78PwcfsgOx/G+Ckrn2cd4yfvdMS+Tt9lafHzS8aYVZLeJOmuDt9dKelKSVq5cqWSJMljlZ5aI8mo0Whox45JSWOSlOE3u/nvuOMOLVs2Pefb6emLJS3QXXfdpaVLpyVdnMv6jp2/02eDLqPfvMMte2LiAklL9MMf/lBPPfVCz2n37VskaVTWWiXJ+jnrvOOOO3XiiVM9ljBc2vbvX6A02398fDzymMju0CG33++++2794hfPd5hiTJK0aVNDK1ZMDr38qSkjF7tz992OHS+SdL4OH55UkjTmrDPdvus87/btp0o6U7t27VKSbD/mu0ceOU7Sm3Xo0AtKkh92XfLMzCWS5qvR2KzHHpvIlB5J2rHDrffw4QklyeaeS9mx4zRJZ2jnzp1Kkh2/jNe7775bzz7bab8du/477rhTJ5zQKyalXbtWSVqlxx7boSTZ2XPa2Yi1NMYkuXOQO8fM/W74bdprvs7f7dy5StIq7djRa7+nTY9k7WpJI9q8ebOkC5vLWa8FC3qVFt367ryzf749cGC+pEu6pG+sy+fd7d37akkv189+tk1JsrfrdOPj8yS9pePyDxw4R9Iy3XvvvZqcPNBjbcOnz62beBvUww+/QtKr9MQTTyhJHh54PmvHJEmbNm3SS196WM89d7akF+tHP/qRZmae6zO3m3fjxo1aunSm5zTr12/QokVHei6tlSe3bTuaJx9//ExJp+rRRx9Rkjze/wc1teL9mWeelXSi9u/fryS5r+9827e/UtLpeuwxdw4aRKusKB2bx7dtO1nSa7R3714lybY+SxmbM3/a6fbte62kl2nr1q1asWJfn+U5xNowxiS5fL9kSbd8f+y0vbbtk0+2rjWOKEk2DLWM/fvfJOkE3Xtv93htHae3bNmiQ4cO9knvsdqvEffsOdRxmj17Fku6sGP6n3qqFRuzr6O6GZPUfXs988wbJL1EP/nJT7R06dMDz5d2fZI0Pn6epKXasmWLDh4cV7ey/qCiiDVrbaaXpKWStkj69/2mPffcc23MRkaslazdscP97+oY0y+vNf/TT3f+fvly9/1DD1n71FP5ra/fZ4Muo9+8wy571So3/QMP9J929243rTGd1/nzn/eef9i0pd3+t99++3Az1FBrv99/f+fvW9t99+50y5+c7L7vHnjAfX7SSZ3XmUa3ea+/3n3+oQ/N/e6++9x3Z53Ve9lLl7rptm/Pnh5r3TaXrD3ttP7LufZaN+1VV7n/Tz/d/f+jHw22/n37+q/j6qvdtNdc03/a2Yi14bX2zTPPdP8u7TKH+e7P/9x9/p//c7rl9rNw4dG4aS1ncrL3PK3pnnqq//Kffrp7+tKk+4or3Dw33th7uv37uy///PPd55s29V5G2u1KvA3u85932/g97xluvta+efxx9/8ll7j/N24cfN79+/tP88IL/Zf37ne7ab/4xaOf/emfus9uuKH//O1a8b5unXtfs2aw+T72MTf9Rz4y+LpaZcXZefzv/s59dsUV/ZcxaIwMMt3ll7tpbrml//JaiLXBtfbBwYODT9vLY4+5aebNG34ZF1/svlu/vvvyW8fpzZv7p3e21jXitm3dp3n0UTfNokVzv9u1y303MtJ/XUeO9N9el13mvr/11mM/L6Is0XL22W6au+6ydmoq+3VyKLEm6R7bpS4m01O9jDELJH1N0s3W2q9nroUKnC2oKVm35bY+L2q9vsnSlLJoddkHMfJt3/mWHsmfNNXtmAf04kNXGGSX9rjm+1NL80rHoMthjB+ExIeuXoPgPBOXLE/1MpK+LOlBa+1n80sS0qjDSWqY39ivIFWH7RULH8b4qTq/DJuOqtMrDb/ffEgzOqt634RSQC5bv/QO8ntC+804qqx9N8h68oxRn8b4AQaRZXwtH47BvdLgQ/rS8mkb+yJLi5+LJf1HSWuNMfc1X5fllK4glX2SqutJkQCul7rtbx/j2pc0cUGAsuR53KnbMQzDyXpcy5K/8m6V0768rMfpKuOGc0zcym6NVoVB8nCsFT6dxPZ70ko9uLO19g5JHBpLQGZ1fO7qheLlcXc7rTLzUa/fEVJ+5k4L8uJzXuLiFFUx5tj852N8pFFmvNMqHFUZpsI3TX4cZp5eaSgqfWXgHDlXpjF+0FnZAeBrwOXN565eddkHVeDAPbwi7+Kiftj/fiEuIfm1/ztdxMYwtohP2xhxKes4nnX5lCfjQsVPjsjM5WA710uVJ8UqTlSdCrsh5nnG+EFeQh/jp6q8zRg/9dDah0XFxzD5KI/8RJdeILth4qdT3MZwbqCyaS4qfgJA4c2hq1e91SGPS37+TuIIPvPljmZZuDCG5P/+9z19vRBjaClqHJyiu3oNYpiB27OqOqZCO88XhYqfHJWdmetWk0lXL1QltMJfrPmxbsc8X9Rxe/v8BD3iIC5p92e36bPe6U+jiEepD9uSKc+4qLqVHrFdLB+2b9H7Oq/lh9z4ILSyexmo+EFwfD3AoBjDFvpC16urV1Xjh5Xx1JhY9h/CQ+EQIZt9nK7ixlandYfw5KQqHxoB+KKMIQao1PQDFT85KjtT162wSlevevJ94Lu8+ZYen1TdVBhII++YHjQOQr5TWydpj2uxHgfT/q4Yzg8x/IbYFHWMLLqrV95dtEJEZdNcVPwEoF93pbpk6Dy7eiE8dKmorvVTyCd+ZOdL/u8mhJYFefLtuIRssnb1Knpw50F0uojNmh7ffg8wW5ZjcVldvbKmwcfuoGlwvnSo+MlRlSeIOmVoH/tv12n7l61uBa+6/d6Wsp8cA/RCF0WgWlkrwspcN+CrtHk5hhioa3m6Fyp+Ala3DE1Xr3ry4eRTZj7q9VjNmMf4AWJVVVcvhCHvrl55D+5c9YVjnfI5NzfKkaYHQS9Zrk96zVtWfsgaY+TXcFDxUwBakxRjmAMgJ8/4MAjj4GLdFlzwViPW/BSqQc9vjPETt26DOse2Twf9PWnOD92WzTkGg8jjpljRYwj5spwqtG/j2I6LaVHxk6OqMlXombnKsVuAQfo2l5lfep1kqzoBl7FeYhJVIw8C+Qn5grEq3NwIk4+VN1lbNcVakVx3VPwgGD539eLAWBzfCkBVPGWMEzDQXda46BVzPuLiENLc/V9Uvqg6FoZ9qEGeY/xU/dtRvSordYrubl9m/vbtRmpdUfGTo6IyGM21Hbp61ZMP+zK0k4cPTznyYb8hH1XvQ5/zUhXnZ5+3B8rje1cvH85DQBnSlBF96uqVtaU5MRoOKn4C5ttJPi26eiEPsexTH7t6lSGW/YfwxBpX3DQKQ5VluZj2fxFj/JR9bIilXO+7vAZ39n3Q5SzyzotVxBRj/MxFxU8ByFzFoKtXPRW9D33bd76lJ60i9huF4nqia9Ox2B6Qunf18uX4mDV/+nDRCxSl6K5elJfQCRU/AatboY+uXvVU5T7slI+qvCs76LrJ98iT7/kprzF+ivqddPVCL2kr8srKB1WVueqYv6nUrQ8fjuODpCHkvBhy2otCxU8AugWkDweNULHNwlOXfebTicq3MX4oFNdTFec6KllRlljLcml/z+ztUcXxnnMMWkIdXzKvPEyX4bhQ8YPKDXrA8LmrF4rjwz6sok9y1ekoGwUHVCW0uBq0ApQCe9xm7/8qK5CKrJQnj8JXWfJmWU/1SpuWmOKOMX6OouInYO2BWocM7XNXrzpsf9+xD47yYVswxk88qt7etPQ6FnEQlyq7euVVOdgpLWnj1YcbLVXFGLFdDh+2b1ldjLMuP++WQz5s+zqj4idHRWVq305MQJmqHH+jijF+Yr/zAuQtr/gIZYwfoBPfBncGYhBqV69hcMyoDyp+ULkqunpxkIOvfMqbZY7xM8h0tPyoJ8b4ORZxAMmv/d8pT+Y1xk/R83VSVYwR2/VRdFevYZafdd2U38JBxU+OqjpB1IXPXb1QHB/yuQ9pGAb5HnkiP/ll0PMbY/zEzadyTpFP9Qrt/Iv6KKu7ZdHLjT3GGOPnKCp+gBxwQCmOT4XbMvTq6hXSNoi9IIHyhH6nMKS4RbjKHm6gn7zG+Bm2VXgex4kQz7koRuhdvRjjB+2o+ClA2Sfd0Gsy6eqFPMSyT2P5HcOq6+8GhhV6RRjy4cNFYUuoedK38w4Xx+XIe/sWle+L7upV1LrhLyp+EAy6etVT0QXJQfo4Dzp90QbdFj4MdksMxqPqfdgvL2VNX5ZB3KvYNsQWpLn5oMpKlzwfhJD2d8Uwxg/8U/RxtsrjeF4xwxg/4aDiB8gBBXDkhZNid1zwAoNjjJ96ifX4WKfKVS6Ow1J0PsmSD/JKWwxdvULvGZMnKn4C0O8uZ+iZma5e6CWWfJ5FiL992HgN8TeiHEVfDFXZqjANLg7jkvYc59OjnjvlybzG+Bl2PuICsSir/BvL2JLoj4ofBCPvRwsCsYo1/1Owr0as+SlUFMghde8SVacWMkXhXIOWYSo+i1p+Gr7lXWLKD1T85KjsE1978MRysgVmK3pcm0HG+Mlj3AIAxajbGD+IS5UXRD7m37Rl6TTz+fb7Y6tA81Uo27es1qi9tscgaQhle4KKnyDQ1cvJ8wCY9zYLfR/4LJZ8nkVV2yCP9eV5AU1eQIiq6upF69gwxNrVK6/1VlkhRnygF5/zSda05f3bGOPHD1T85Ijma+WgMIuyhRbb5H/kKfb8FFp8A+1mX1CF3tVrdjwOe3Mw5HiO4TfExoenelUxxg/ilKnixxjzNmPMNmPMI8aYD+eVKAyGQEUdkM+Pqvu2oFAMIDYc1/zDPsEwfMwneaXJt+UgG2NTViMaY+ZJekjSWyU9LuluSW+31v602zznnXeeveeee1Ktzyevfa304INVpwK+O+UU6ZZbpNHR7tMkSaKxsbHS0hSad7xDuvnmqlMB3y1YIP3Jn0if/GT3aYi13m68UfqzP5MOHqw6JfDd+edLd93VexrirbcLLpB++MOqUwHfLVsmffrT0pVXdp+GWOvtQx+SPvtZaXq66pTAZyMj0tvfLt10U/dpQok1Y8wWa+15Hb/LUPEzKun/tdb+RvP/j0iStfYT3eaJoeLnzDOl7durTgVCsmqV9KIXdf7u+eef13HHHVdqekKxezcXoRjO8uXSSSd1/o5Y6+6ZZ6Qnn6w6FQjJokWuPNQN8dbdo49Kk5NVpwIhOekkd37rhFjr7skn3fkNGNTv/373yp8YKn7mZ1juKyTtbvv/cUkXdFj5lZKulKSVK1cqSZIMq6zejh2rJZnmC+jHypjntWLFCx2/PfHEac2f/3zJaQrDQw+9RK43KrGGQVi98MKMVqzoXMoj1rrbu/cESQtFrGEwVocPW61Y8YuuUxBv3T344EtFORKDs5qcPKwVK57r+C2x1t327cslzROxhsFY/c//OaUk2dTx2/Hx8eDrMbJU/AzEWnujpBsl1+InhJqyXn7lV+jmhcGNjBjdfPNSjY4u7fh9KLXHVaCbF4Zj9Md/PF+f/OTLOn5LrHV3443SH/1R1alAOIze/GajJOkcaxLx1gvdvDAco+uvX6Qrr+TcNqwPfUj61KeqTgXCYfRbv7WwazzFEGtZBnd+QtKpbf+f0vwsaj/9qfSrv1p1KhCCU06R7rij9xg/6O6mm1yTyxGePYg+FiyQPvjB3mP8oLsrr5S++EXp+OOrTglCMMgYP+jurrvcNgT6WbbMHZt7jfGD7j75SVc2mF94MweEbmSkdzevWGQJhbslvcoYc7pchc/vSfo/c0mV537adfhqAHm66ab4D8KAD668kosLoCxUnAHl+OQnuSkEtKSu+LHWThtj3ivpO3IdKL9ird2aW8oAAAAAAACQSabGb9baf5P0bzmlBQAAAAAAADli9AwAAAAAAIBIUfEDAAAAAAAQKSp+AAAAAAAAIkXFDwAAAAAAQKSMtba8lRmzT9LO0lYI+O+lkn5RdSKAGiDWgPIQb0A5iDWgHKHE2iuttSs6fVFqxQ+AYxlj7rHWnld1OoDYEWtAeYg3oBzEGlCOGGKNrl4AAAAAAACRouIHAAAAAAAgUlT8ANW6seoEADVBrAHlId6AchBrQDmCjzXG+AEAAAAAAIgULX4AAAAAAAAiRcUPAAAAAABApKj4AdoYY041xtxujPmpMWarMeZ9zc+XG2O+a4x5uPl+YvPz3zfG3G+M+YkxZpMx5o1ty3qbMWabMeYRY8yHe6zzD5rLfdgY8wdtn3/bGPPjZjr+1hgzr8v8HddjjLm5+fkDxpivGGMW5LGNgDxEFmtfbs5/vzHmX4wxS/PYRkBeYoq3tu//izFmPMt2AfIWU6wZY75qjNlhjLmv+To7h00E5CKyWDPGmI8bYx4yxjxojPnjPLbRHNZaXrx4NV+STpZ0TvPv4yU9JOm1kj4l6cPNzz8s6ZPNvy+SdGLz7/9F0l3Nv+dJelTSGZIWSvqxpNd2WN9ySdub7yc2/24tb1nz3Uj6mqTf6zB/1/VIuqw5r5H0T5L+U9Xblxev1iuyWFvWNt1nW+nnxcuXV0zx1vz+PEn/VdJ41duWF6/2V0yxJumrki6vepvy4tXpFVms/aGkf5Q00vz/ZUVsM1r8AG2stXuttfc2/z4o6UFJr5D0O5L+oTnZP0j63eY0m6y1zzY/3yzplObf50t6xFq73Vp7WNJ/by5jtt+Q9F1r7TPN5XxX0tuayz7QnGa+3AGi00jsXddjrf032yTph21pAyoXWawdkNwdG0lLuswPVCameGveSf20pA8Oux2AosUUa4DPIou1/yTpGmvtkebynhpmWwyKih+gC2PMKklvknSXpJXW2r3Nr56UtLLDLO+W9K3m36+QtLvtu8ebn83WczpjzHckPSXpoKR/GXb+5jIWSPqPkr7dYX6gcjHEmjHm75vp/RVJf9NhfsALEcTbeyX9a1u6AS9FEGuS9PFm95jPGWMWdZgfqFwEsXampP9gjLnHGPMtY8yrOsyfGRU/QAfGjdHxNUnvb6vFlSQ1W9DYWdNfKncQ+VCe6bDW/oZcU8ZFktamXMwXJG2w1m7MLWFATmKJNWvtH0p6udwdp/+QZ9qAvIQeb8aYl0v630XlKjwXeqw1fUTuZsab5bq35Jo2IA+RxNoiSRPW2vMk/Z2kr+SZthYqfoBZmi1kvibpZmvt15sf/9wYc3Lz+5PlanRb0/+apC9J+h1r7dPNj5+QdGrbYk+R9IQx5oK2QfJ+u9t07emx1k5I+qak32kOZNaa///qN78x5i8lrZD0gTTbAihSTLHWnH9Grunu/zbstgCKFkm8vUnSWZIeMcY8JulFxphHUm4SoBCRxFqrK4211k5K+nu5riqAN2KJNbnWP630f0PSrw27LQZiCxg4iBevUF9yg3L9o6S/mvX5p3XsQGGfav59mqRHJF00a/r5coN+na6jA3i9rsP6lkvaITdI2InNv5dLWirp5LZl/bOk93aYv+t6JF0haZOkJVVvV168Zr9iibXm7zir7TfdIOmGqrcvL17tr1jircN0DO7My6tXTLHWNr+R9FeSrq96+/Li1XpFFmvXS3pX8+8xSXcXss2q3mm8ePn0knSJXJPA+yXd13xdJuklkr4v6WFJ35O0vDn9lyQ92zbtPW3LukxuhPlHJf15j3W+q3kgekTSHzY/Wynp7mY6HpBr1j6/y/wd1yNpuvlZK20frXr78uLVesUSa3ItZ++U9JPm/Der7SlfvHj58Iol3jpMQ8UPL69eMcWapB+0ndtukrS06u3Li1frFVmsvVjS/9eMt4akNxaxzUxzZQAAAAAAAIgMY/wAAAAAAABEioofAAAAAACASFHxAwAAAAAAECkqfgAAAAAAACJFxQ8AAAAAAECkqPgBAAAAAACIFBU/AAAAAAAAkfr/AVbOs5gL9pIOAAAAAElFTkSuQmCC\n", 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" ] @@ -107,7 +107,7 @@ { "cell_type": "code", "execution_count": null, - "id": "viral-certificate", + "id": "6c9dc51d", "metadata": {}, "outputs": [], "source": [] @@ -129,7 +129,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/test_five_models.ipynb b/test_five_models.ipynb index 5c9ef70..46ea068 100644 --- a/test_five_models.ipynb +++ b/test_five_models.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "dried-serve", + "id": "cc2af79d", "metadata": {}, "source": [ "# `sequgen` demo with five signal models\n", @@ -13,7 +13,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "final-integrity", + "id": "4ef0e077", "metadata": {}, "outputs": [], "source": [ @@ -30,7 +30,7 @@ }, { "cell_type": "markdown", - "id": "tight-zealand", + "id": "fe647abe", "metadata": {}, "source": [ "If this command fails to load the `sequgen` models, please check if you followed the installation steps present in the [README](https://github.com/sequgen/notebooks#notebooks) before running this notebook. " @@ -38,7 +38,7 @@ }, { "cell_type": "markdown", - "id": "cheap-notification", + "id": "43770863", "metadata": {}, "source": [ "We need a function to plot the signals:" @@ -47,7 +47,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "impossible-consultation", + "id": "6e94b6a6", "metadata": {}, "outputs": [], "source": [ @@ -63,7 +63,7 @@ }, { "cell_type": "markdown", - "id": "interstate-positive", + "id": "d6bb3ca4", "metadata": {}, "source": [ "## Signal 1\n", @@ -74,7 +74,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "differential-color", + "id": "32ef8168", "metadata": {}, "outputs": [], "source": [ @@ -85,7 +85,7 @@ }, { "cell_type": "markdown", - "id": "therapeutic-glasgow", + "id": "1e48d00a", "metadata": {}, "source": [ "Next, we select an arbitrary values for the parameter with the instruction `sample`." @@ -94,14 +94,14 @@ { "cell_type": "code", "execution_count": 4, - "id": "integrated-sunday", + "id": "ab48615c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'value': 1.0891081613281477}\n" + "{'value': 1.9386511389140164}\n" ] } ], @@ -112,7 +112,7 @@ }, { "cell_type": "markdown", - "id": "thermal-senate", + "id": "03c5bb51", "metadata": {}, "source": [ "Then we define the time points (x=axis) as a space between 0 and 20 divided in 100 sections. We will re-use these time points for the other signals." @@ -121,7 +121,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "renewable-limit", + "id": "5a2c677c", "metadata": {}, "outputs": [ { @@ -146,7 +146,7 @@ }, { "cell_type": "markdown", - "id": "compatible-assist", + "id": "0cd0fe82", "metadata": {}, "source": [ "With the time points and the signal parameters, we can use the `constant` function to create the signal and plot the results:" @@ -155,12 +155,12 @@ { "cell_type": "code", "execution_count": 6, - "id": "instrumental-sending", + "id": "362dba73", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -179,7 +179,7 @@ }, { "cell_type": "markdown", - "id": "inner-floor", + "id": "5b33eed0", "metadata": {}, "source": [ "## Signal 2" @@ -187,31 +187,30 @@ }, { "cell_type": "markdown", - "id": "bearing-conclusion", + "id": "6c2f1739", "metadata": {}, "source": [ - "The second signal contains a triangular peak, similar to the signal in the notebook [test_mvp.ipynb](test_mvp.ipynb). We need four parameters which can take variable values: the height of the peak, the time position of the peak and the left and right widths of the trianglular peak. For example, the peak height can have a value between 1 and 2. We add a fifth constant parameter `sign` in order to get a negative peak." + "The second signal contains a triangular peak, similar to the signal in the notebook [test_mvp.ipynb](test_mvp.ipynb). We need four parameters which can take variable values: the height of the peak, the time position of the peak and the left and right widths of the trianglular peak. For example, the peak height can have a value between 1 and 2. We make the height negative in order to get a negative peak." ] }, { "cell_type": "code", "execution_count": 7, - "id": "black-choir", + "id": "2a1bc591", "metadata": {}, "outputs": [], "source": [ "signal_2_parameter_space = ParameterSpace([\n", - " Dimension(\"height\", 1, 2),\n", - " Dimension(\"placement\", 5, 9),\n", + " Dimension(\"height\", -1, -2),\n", + " Dimension(\"location\", 5, 9),\n", " Dimension(\"width_base_left\", 0.1, 0.5),\n", - " Dimension(\"width_base_right\", 2.0, 3.0),\n", - " Dimension(\"sign\", -1)\n", + " Dimension(\"width_base_right\", 2.0, 3.0)\n", "])" ] }, { "cell_type": "markdown", - "id": "thirty-nursery", + "id": "d3f72ece", "metadata": {}, "source": [ "Next, we select arbitrary values for the parameters and generate the signal using the function `triangular_peak` and the time points defined for the first signal. Then we plot the signal." @@ -220,12 +219,12 @@ { "cell_type": "code", "execution_count": 8, - "id": "beneficial-spoke", + "id": "19217b58", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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V7RbgExYG2O5CaI4ux3b7hm+71LTQrWCiY2FgXhuh66TZwiC7QpdCvovQrPkBd384T5EfEnb+98ZvjbnPdyvtdy9uJNTPIfFk96+EsQbLCPU8yszOt3B5/a5mdkR83q7AeqAn7sO5iWdfn6mHCN+2vhDfuw7gvYTkpCgPl7UWqv9zYrGnCDniR8ysycz2IXSXPp5vnX3Vt5ntbWanm9nQ+Jk8kdBMPSerTMH6dvfFhG7wjxKS9vWE+vkAhZOfW4DzzGw/MxvBjpe1lnvM6svecVuDzOzvCfvVnRQ5zlkYrHpATJxeIXSX9xK6zTZYGJTaHuvszWZ2WBkx3QC818xOjM9vszBofr8C5Xeoj1L2E3d/ijB+5KtxG+8njF+8Nc827iKc2A+Jt68QrhI7xLe/9HwGcKu7b9d6ZOE3dpb18Zp/SzgXdLv7JmJXHiGRXJNb2N2fIbQWfc3MWs3sKMLnKGMN4f2o1H7yUTObFI+jlwA/i697V2AjocV4F8IxBIAY1xlmtlv8grY+xgQhSTjHQg+CmdkQCxfR5OsFKMctwBfNbISZjaa8VvHngT3MbLfMA55zFV+e27PxtRY7Zr/BwmD+o2L9tJvZvxC+yGYu+rkO+GSs7+GEbvZrsp4/mtBI8WBf2ykl+fkmoXVinWWNRC8k7tTnESp5LeGkf0cJ28k4l5AhryZ0W9xI2Hky/pHQXfQSYaDuHwqs525C0/5ThGbIv9K/LrSfAl8ldHdNIRykM6/zBOB0wrf11YRL8jKX130GuMTMNhAOBLeQh7vPB94D/NgKX1nwI0L/e1ElxJVd9i7ge4QBo0vYtrNszC1bwCzg2rhvfKhY4SK+RDgJXkio49fjY9ktSplvEV8m7CN3Zn3DuCuW3Z/Qh34IsNpyWp3MbAyhebToNw93vy9u61bCN6a/IdRrpp6PJxxQVwOLgWPjUz9H2O83EA5iN+esehYF6i0e2N8LnEz45vgD4OPu/mSxeEsVE4y/I4zRWEs4wf2ZMN6qrPomfBv8NKEPfy2hJeR8d78jrquU+v4toSt8eda8Ufgy6B8TPt/zY5mf5yz/L+CDFq5o+V5fdVGCh4ADCe/FN4APuvtLJRznDiSMN+shDLz9gbvPjSfE9xD2z7/E9V5FqN+SxHo6ldCiuIZwXPs8hY/nO1MfpwNTCa/xMsLrXwNvfOtfEGPa6O6rMzdCwrc5ThPLtxFa4vN1eY0BHugjjj8Qxv5kWnm6Ccf0fK0+GR8hjLF6mXAMvy6zwEOX1jeAB+LnsO8rg4q7nnACXk3oSs5cwXcd4fyzMsace0L+GLDMQpfYOYQhCrj7PMK57nJC3S8hzxXJ/XAJ4bP6F8L++TNKPN7HY9CNwNOxzkq+2ou+jyGZoRAXxdnBwPcJ5/iVhBbpd7v7czGO/yOMRZpLGDP1DOH9zfgIcK1vuwI1L3OvdOtfZZnZtwgDzmbUYdvXEAZ4fanW286JYzDhW9R0r8APHfaxnYmEk+Bg335MVsMws48Ck939i/WOJQ1U31IKM7uHMFh8YdHCUjFm9mngdHc/pt6xVEI8V84Hjnb3F/oqm6QfQQLCb9QQmpSfAA4DPklo3kytmMFOqsa6Y1P2nYQm2W8Bv2zUxAfA3Uv6iwCpDNW3lMLdSxoaITvHwl8kTSC0Rh5I+KmOkn/7KeniufJNpZRN4h+b7kpoxn6V0F3wHcIlo1IdnyL81MBSwriEUq/SERnwLPyIaV+DfmsZy10FYrmo+LOlmgq8Lz2W9cO5NYqjr4tKcgf+59NKGEaxgfCTEbcTutZTJ/HdXiIiIiKVlMSWHxEREZGqSdyYH6m8Pffc08eNG9ev57766qsMGTKkeMEaU1zlUVzlUVzlacS4Hn300RfdvdifuMoApeQnBcaNG8e8efP69dzOzk46OjoqG1AFKK7yKK7yKK7yNGJcZlbqL4fLAKRuLxEREUkVJT8iIiKSKkp+REREJFWU/IiIiEiqKPkRERGRVFHykyBmdpKZLTKzJWaW+0/VWPj38Jvj8ofMbFwdwhQRERnQdKl7QphZM+GfbI8n/OvuI2Z2h7t3ZxX7JLDW3Q8ws9MJ/8X14WrF1NUFs2ePZXD8P/jOTshcNVrv6QULhtHVVXr5adPC66l2fAOhvqZNY8CoxXtWaLqe207q/lXoczRs2DAGD05GHeWrr4G0z0tt6O8tEsLMpgGz3P3EOP9FAHf/ZlaZu2OZLjNrAVYDe3mRN3Hq1Kle7u/8dHXB0UfDli1Oc7MB0NsLTbGtsN7T7r24N5VUvrkZTjwR7r4btm6tbnxbtya7vtraYM6c5JwM+vodlq4uOPZY2LSptvXV3AxTprzIo4/uWfX9ZSDtX319jsx6MWtKRB1tP+20tVm/9nkze9Tdp5b3LBko1PKTHKOB5VnzK4AjCpVx9y1m9gqwB/Bi7srMbCYwE2DkyJF0dnaWFczs2WPZsmU8YGzdmsmtkjQdTgCllN+yxfn1rylarrGnw9lg40bn6qv/wsaNz5IEPT09BffN2bPHsnFj7ffBLVuchx7aA/CabzvJ0319jtwtsfW1cWMvV1+9LDH7vCSDkp8G5e5XAldCaPkp91dOBw+G2bNh48ZeWlqaMIMtW6C52RIx7d5Lb6+VVL611fjud+H880MrQjXj27w5mfXV29vLli1NNDcbZ501gWnTJlR8n+uPvlp+3OGqq8AMBg2qXX21thqf/vQifvjDg6u+vwyk/auvz1FTUy9NTc2JqKPc+ho8uClR+7wkg5Kf5FgJjMma3y8+lq/MitjttRvwUjWCmTYtdI9cffUyzjorHDSS0Iefmf7jHx9j/fpDyxqr8Ja3VD++pNbXvHmPccEFh/L+9yeny6uY3t5w//GPw6c+FaZrVV8bN67igx88uO7vW+50vfevQp+jYcPmc+ihhyaijvLV10DZ56WG3F23BNwIiejTwHigFZgPTM4p80/AFXH6dOCWUtY9ZcoU76+5c+f2+7nVpLjKM3fuXJ8yxf344+sdyfb6qq8vfcm9udl9/fraxZOR5PcxiRoxLmCeJ+DcoFt1brrUPSHcfQtwLnA3sJCQ2Cwws0vM7H2x2E+APcxsCfBZYIfL4UUKmTQJFiyodxSlmzsXpk6FXXetdyQi0mjU7ZUg7n4ncGfOY1/Jmv4r8Pe1jksaw+TJcP31sG4dDB9e72j69uqr8PDD8NnP1jsSEWlEavkRSYnJk8N9d3ff5ZKgqws2b942dkNEpJKU/IikxKRJ4X4gdH3NnRt+V+aoo+odiYg0IiU/Iikxbhy0tw+Mlp/OTjjsMBg6tN6RiEgjUvIjkhJNTTBxYvJbfnp6wngfdXmJSLUo+RFJkcmTk9/yc9VV4Yfq9t673pGISKNS8iOSIpMmwcqV4YqvJOrqgs9/PkxffHGYFxGpNCU/IimSueJr4cL6xlFIZ2do9YHwFwpl/iWdiEhJlPyIpEjSr/jKjPMxg9ZWjfsRkepQ8iOSIuPHJ/uKrwMOCPcnnxz+W07/ySQi1aDkRyRFkn7FV6Y77rzzlPiISPUo+RFJmUmTktvyk0nKMt1zIiLVoORHJGWGDoUVK+Dee+sdyY66u0N8++1X70hEpJEp+RFJka4uuPrqMP3e9ybvUvLu7tDqY1bvSESkkSn5EUmR7EvJN29O3qXkmeRHRKSalPyIpEhHBwwaFKZbWpJ1KfnLL8Pq1dt+i0hEpFqU/IikyLRpcOWVYXrWrGRdUZW50kstPyJSbUp+RFLmyCPD/f771zeOXJkr0JT8iEi1KfkRSZm2tnD/+uv1jSPXggWwyy4wdmy9IxGRRqfkRyRl2tvDfdKSn8xg5yYdlUSkynSYEUmZTPLz17/WN45cutJLRGpFyY9IyiSx2+uVV2DlSiU/IlIbSn5EUqalJdySlPzoSi8RqSUlPyIp1N6erG4vXeklIrWk5Eckhdrbk9Xyc999oTVq1ap6RyIiaaDkRySF2tqSk/x0dcHNN4e/3TjhhOT935iINB4lPyIplKRur85O6O0N05s2Je//xkSk8Sj5SQAz293M7jWzxfF+RJ4yh5hZl5ktMLPHzezD9YhVGkOSur0OOyzcm0Fra7L+b0xEGpOSn2S4EJjj7gcCc+J8rteAj7v7ZOAk4LtmNrx2IUojSVK31267hfszzoA5c5L1f2Mi0piU/CTDqcC1cfpa4LTcAu7+lLsvjtPPAS8Ae9UqQGksSer2ylzp9eUvK/ERkdowd693DKlnZuvcfXicNmBtZr5A+cMJSdJkd+8tUGYmMBNg5MiRU2666aZ+xdbT08PQoUP79dxqUlzlyY3rwgvfwrp1g7jiij/WMaoQ1+zZb+XWW/fjrrt+R3NzMo5HA+V9TIpGjOvYY4991N2nVjgkSYiWegeQFmZ2H7BPnkUXZ8+4u5tZwTOAmY0CrgdmFEp84nquBK4EmDp1qnf0cyBFZ2cn/X1uNSmu8uTGNXo09PRQ91g7OzvZsGEsEyfC9OnH1DWWbAPlfUwKxSUDjZKfGnH34wotM7PnzWyUu6+Kyc0LBcoNA34NXOzuD1YpVEmBJA147u6GI46odxQikiYa85MMdwAz4vQM4PbcAmbWCvwCuM7df1bD2KQBJWXMz+uvN7FsmX7ZWURqS8lPMlwGHG9mi4Hj4jxmNtXMroplPgQcDZxpZo/F2yF1iVYGvKRc7bV8+S64K/kRkdpSt1cCuPtLwPQ8j88Dzo7TNwA31Dg0aVBJ6fZ65pkhgJIfEakttfyIpFCm26veF3suW7YLLS1wwAH1jUNE0kXJj0gKtbeH+40b6xvHsmVDOOggGDSovnGISLoo+RFJoba2cF/vrq9nntmFyZPrG4OIpI+SH5EUyrT81POKr9dfh1Wr2jXeR0RqTsmPSAplkp96tvw89RT09pqSHxGpOSU/IimUhG6vzH96KfkRkVpT8iOSQkno9rrnHjBzXnqpfjGISDop+RFJoXp3e3V1wfXXh0vtTz45zIuI1IqSH5EUqne3V2cnbN0KYGzaFOZFRGpFyY9ICtW72+sd7wj3Zk5rK+iPt0WklpT8iKRQvbu99tgj3Hd0vMCcOTBtWn3iEJF0UvIjkkL17vbKXOn1kY88q8RHRGpOyY9ICtW75ae7G5qaYMyYBPy7qoikjpIfkRSq95ifBQtgwgQYPLi3PgGISKop+RFJoSS0/Og/vUSkXpT8iKRQayuY1Sf52bw5/LWFftlZROpFyY9ICpmFQc/16PZasgS2bFHyIyL1o+RHJKXa2+vT8qP/9BKRelPyI5JSbW31S37M4E1vqv22RURAyY9IarW316fba8ECGD8edtml9tsWEQElPyKpVc9uL3V5iUg9KfkRSal6dHtt2QKLFin5EZH6UvIjklL16PZ6+mnYtEnJj4jUl5IfkZSqR7eXrvQSkSRQ8iOSUvXo9sokPxMn1na7IiLZlPwkhJntbmb3mtnieD+ij7LDzGyFmV1eyxilsdSj26uzE4YPhyeeqO12RUSyKflJjguBOe5+IDAnzhdyKXB/TaKShlXrbq+uLrjvPli3DqZPD/MiIvWg5Cc5TgWujdPXAqflK2RmU4CRwD21CUsaVa2Tn9/8BtzD9KZNoRVIRKQelPwkx0h3XxWnVxMSnO2YWRPwHeBztQxMGlOtx/wcdFC4b2oKf6za0VG7bYuIZGupdwBpYmb3AfvkWXRx9oy7u5l5nnKfAe509xVmVmxbM4GZACNHjqSzn1+ze3p6+v3calJc5ckX1wsvjOf118fQ2VmbHtTFi/cA3sJ73rOSE054no0b1w+o+koCxVWepMYlCeDuuiXgBiwCRsXpUcCiPGVmA88Cy4AXgfXAZcXWPWXKFO+vuXPn9vu51aS4ypMvrksvdQf3zZtrE8M3vxm298orfceVBIqrPI0YFzDPE3Bu0K06N3V7JccdwIw4PQO4PbeAu5/h7mPdfRyh6+s6d+9rYLRIQW1t4b5WXV/d3bDffjBsWG22JyJSiJKf5LgMON7MFgPHxXnMbKqZXVXXyKQhtbeH+1pd7q7/9BKRpNCYn4Rw95eA6Xkenwecnefxa4Brqh6YNKxM8lOLlp/eXli4EGbOrP62RESKUcuPSErVstvr2WfhtdfU8iMiyaDkRySlatnttWBBuJ88ufrbEhEpRsmPSErVsttL/+klIkmi5EckpWrZ7dXdDaNGwYiC/1gnIlI7Sn5EUqqW3V660ktEkkTJj0hK1arby13Jj4gki5IfkZSqVfKzfDn09Cj5EZHkUPIjklKZMT/V7vbKDHbWlV4ikhRKfkRSqlYtP5nkRy0/IpIUSn5EUqpWyc/cuTBkCDz1VHW3IyJSKiU/IilVi0vdu7rgzjvh1Vdh+vQwLyJSb0p+RFKquRkGDarumJ+5c8P/egFs2gSdndXblohIqZT8iKRYe3t1W37e/OZw39QEra3Q0VG9bYmIlErJj0iKtbVVN/nJjCs66yyYMwemTavetkREStVS7wBEpH7a26vb7ZW50usb34C9967edkREyqGWH5EUq3a3V3c37LEH7LVX9bYhIlIuJT8iKVbtbq/M31qYVW8bIiLlUvIjkmLV7PZyhwUL9OOGIpI8Sn5EUqya3V7PPw9r1yr5EZHkUfIjkmLVTH70txYiklRKfkRSrK2tet1e+kNTEUkqJT8iKVbtlp/hw2GffaqzfhGR/lLyI5Ji1U5+dKWXiCSRkh+RFKtmt5eu9BKRpFLyI5Ji1Wr5WbMGXnxRyY+IJJOSH5EUy/zOj3tl16srvUQkyZT8JICZ7W5m95rZ4ng/okC5sWZ2j5ktNLNuMxtX41ClwbS1hftKd33pSi8RSTIlP8lwITDH3Q8E5sT5fK4D/s3dJwKHAy/UKD5pUJl/Xa9G8rPrrjB6dGXXKyJSCUp+kuFU4No4fS1wWm4BM5sEtLj7vQDu3uPur9UsQmlImeSn0uN+urpgt93gwQcru14RkUowr3Rnv5TNzNa5+/A4bcDazHxWmdOAs4FNwHjgPuBCd99aYJ0zgZkAI0eOnHLTTTf1K7aenh6GDh3ar+dWk+IqT6G47r57JJddNpEbbniQ0aMr0/yzYMEwzj337QAMHtzLd74zn8mT15cVV70prvI0YlzHHnvso+4+tcIhSUK01DuAtDCz+4B8P/d2cfaMu7uZ5ctIW4B3Am8HngVuBs4EfpJve+5+JXAlwNSpU72jo6NfcXd2dtLf51aT4ipPobjWrAn3hxxyZMXG58yZs216y5Zm1q8/lEJVMtDqq94UV3mSGpfUn5KfGnH34wotM7PnzWyUu68ys1HkH8uzAnjM3Z+Oz7kNOJICyY9IKTLdXj/4AXz0ozBt2s6vMzPOp6kJWlspmPiIiNSLxvwkwx3AjDg9A7g9T5lHgOFmtlecfxfQXYPYpIE9/XS4v+IKmD49jNXZWU3xqHLBBaEVqBIJlYhIJSn5SYbLgOPNbDFwXJzHzKaa2VUAcWzP54A5ZvYEYMCP6xSvNIjMJem9vbBpE3R2VmadQ4bAZZcp8RGRZFK3VwK4+0vA9DyPzyMMcs7M3wu8tYahSYM78kj40Y8q20XV3Q0TJ25rARIRSRodnkRS7Igjwv2HPlS5LqrMH5qKiCSVkh+RFMv8wvNJJ1Um8Vm3DlauVPIjIsmm5EckxSr9I4cLF4Z7JT8ikmRKfkRSrNLJj/7TS0QGAiU/IilW6T827e4OCdX++1dmfSIi1aDkRyTFWlvBrLItP296EzQ3V2Z9IiLVoORHJMXMQktNJZMfjfcRkaRT8iOScm1tlUl+NmyAZ59V8iMiyafkRyTl2tsrM+ZHV3qJyECh5Eck5SrV7aUrvURkoFDyI5Jyler26u6GwYNh/PidX5eISDUp+RFJuUp1ez3wAIwYAY88svPrEhGpJiU/IilXiW6vrq5wW70apk8P0yIiSaXkRyTlKtHtdc894B6mN22Czs6dDktEpGqU/IikXCW6vcaODfdNTeGHEzs6djosEZGqUfIjknKV6PZqaQn3550Hc+ZU5h/iRUSqpaXeAYhIfVUi+enuhkGD4NvfDvciIkmmlh+RlGtr2/lur+5uOOggJT4iMjAo+RFJuUq1/OiXnUVkoFDyI5JyO5v8vP46LF2q5EdEBg4lPyIp19YGW7fCli39e/6iReEydyU/IjJQKPkRSbn29nDf39afzH96KfkRkYFCyY9IylUi+WluDgOeRUQGAiU/IinX1hbudyb5OfDA8OOGIiIDgZIfkZTLtPz093J3XeklIgONkh+RlNuZbq+NG2HJEiU/IjKwKPlJCDPb3czuNbPF8X5EgXLfNrMFZrbQzL5nZlbrWKWx7Ey311NPhSvFlPyIyECi5Cc5LgTmuPuBwJw4vx0zewfwt8BbgTcDhwHH1DJIaTw70+2lK71EZCBS8pMcpwLXxulrgdPylHGgDWgFBgODgOdrEZw0rp3p9uruDv/kfvDBlY1JRKSazN3rHYMAZrbO3YfHaQPWZuZzyv07cDZgwOXufnGB9c0EZgKMHDlyyk033dSvuHp6ehg6dGi/nltNiqs8fcW1dOkQzj77MGbN+jPHHPNiWeudNWsSS5cO5frrH654XPWkuMrTiHEde+yxj7r71AqHJEnh7rrV6AbcB/w5z+1UYF1O2bV5nn8A8GtgaLx1Ae8stt0pU6Z4f82dO7ffz60mxVWevuJ66il3cL/hhvLXO26c+8SJ7n/4Q+XjqifFVZ5GjAuY5wk4b+hWnVtLjXOtVHP34wotM7PnzWyUu68ys1HAC3mKvR940N174nPuAqYBv6tKwJIK/e32+t3vYNkyMIPp02HOHJg2reLhiYhUnMb8JMcdwIw4PQO4PU+ZZ4FjzKzFzAYRBjsvrFF80qD6m/z8/Ofh3h02bYLOzoqGJSJSNUp+kuMy4HgzWwwcF+cxs6lmdlUs8zNgKfAEMB+Y7+6/rEew0jgyl7qXe7XXnnuG++bm8OvOHR0VDUtEpGrU7ZUQ7v4SMD3P4/MIA5xx963Ap2ocmjS4/rb8bN0a7r/8ZTjhBHV5icjAoeRHJOWamkLLTbnJT3c3TJgAX/1qdeISEakWdXuJCG1t5Xd76T+9RGSgUvIjIrS3l9fys2ULLFqk5EdEBiYlPyJSdvKzdGm4wkvJj4gMREp+RIS2tvKSH/2nl4gMZEp+RIT29vLG/GSSn4kTqxOPiEg1KfkRkbK7vbq7Yf/9IYF/5yQiUpSSHxHpV7eXurxEZKBS8iMiZXV7bd0KTz6p5EdEBi4lPyJSVrfXX/4SEiUlPyIyUCn5EZGyur10pZeIDHRKfkSkrG4vXeklIgOdkh8RKavbq7sbRo+G3XarbkwiItWi5EdEykp+Hn44lO/qqm5MIiLVouRHRGhrg40bwb3vcg88EP7Ta+lSmD5dCZCIDExKfkSE9vZwX2zcz223hXv38N9enZ3VjEpEpDqU/IjIG8lPsa6vkSPDfVMTtLZCR0dVwxIRqQolPyJCW1u4L9byk+kWu/himDMHpk2rblwiItXQUu8ARKT+Sm356e6GUaPgkkuqH5OISLWo5UdEykp+9OOGIjLQKfkRkTe6vfpKftyV/IhIY1DyIyIlXe21YgX09Cj5EZGBT8mPiJTU7bVgQbhX8iMiA52SHxEpqdsr859ekydXPx4RkWpS8iMiJXV7dXfD3nvDHnvUJiYRkWpR8iMiJXV7abCziDQKJT8JYGZ/b2YLzKzXzKb2Ue4kM1tkZkvM7MJaxiiNrVi3l670EpFGouQnGf4M/B1wf6ECZtYMfB84GZgE/IOZ6VQkFVGs22vVKnjlFY33EZHGoF94TgB3XwhgZn0VOxxY4u5Px7I3AacC3VUPUBpesW6vzGBntfyISCNQ8jNwjAaWZ82vAI4oVNjMZgIzAUaOHElnP/9+u6enp9/PrSbFVZ5icblDU9MxPPnkM3R2Ltth+W23jQYOZO3aB+js3FyzuOpFcZVHcclAo+SnRszsPmCfPIsudvfbK709d78SuBJg6tSp3tHPv9/u7Oykv8+tJsVVnlLiamuDkSPH0dExbodlN94YrvI67bS/pe8GysrHVQ+KqzyKSwYaJT814u7H7eQqVgJjsub3i4+JVER7e9/dXpMmUdHER0SkXjTgeeB4BDjQzMabWStwOnBHnWOSBlIo+XGH+fNh40bo6qp9XCIilabkJwHM7P1mtgKYBvzazO6Oj+9rZncCuPsW4FzgbmAhcIu7L6hXzNJ42tryX+11552wYQM88ghMn64ESEQGPnV7JYC7/wL4RZ7HnwNOyZq/E7izhqFJihRq+bnttnDvDps2QWcnTJtWy8hERCpLLT8iAhROfoYNC/fNzdDaCho/KiIDnVp+RAQI3V75kp/XX4ehQ+GLX4Rjj1Wrj4gMfEp+RAQILT/r1u34eHc3vO1tcNFFNQ9JRKQq1O0lIkDhbi/9p5eINBolPyIC5O/2WrMm3JT8iEgjUfIjIkBo+cm91F3/6SUijUjJj4gA+bu9lPyISCNS8iMiQP5ur+7ucKn76NH1iUlEpBqU/IgIULjbS//pJSKNRsmPiAAh+dm6FTZv3vaYrvQSkUak5EdEgJD8wLaur5dfhtWrlfyISONR8iMiQBjzA9u6vjTYWUQalZIfEQF2bPlR8iMijUrJj4gA+ZOfIUNgzJj6xSQiUg1KfkQEyN/tNXEiNOkoISINRoc1EQF2bPn505+gtxe6uuoXk4hINSj5ERFgW/Lzn/8JZ54JL74YEqDp05UAiUhjaal3ACKSDIsXh/v//d9tj7nDpk3Q2QnTptUlLBGRilPyIyIAPPdc+CVn9zDOp7k5dHu1tkJHR72jExGpHHV7iQgAxx0XBj03N8PgwXD55XDppTBnjlp9RKSxqOVHRICQ4MyZE7q4OjqU8IhI41LyIyJvmDZNSY+IND51e4mIiEiqKPkRERGRVFHyIyIiIqmi5EdERERSRcmPiIiIpIqSHxEREUkVc/d6xyBVZmZrgGf6+fQ9gRcrGE6lKK7yKK7yKK7yNGJc+7v7XpUMRpJDyY/0yczmufvUeseRS3GVR3GVR3GVR3HJQKNuLxEREUkVJT8iIiKSKkp+pJgr6x1AAYqrPIqrPIqrPIpLBhSN+REREZFUUcuPiIiIpIqSHxEREUkVJT8CgJmdZGaLzGyJmV2YZ/lgM7s5Ln/IzMbVIKYxZjbXzLrNbIGZ/XOeMh1m9oqZPRZvX6l2XHG7y8zsibjNeXmWm5l9L9bX42Z2aA1iOjirHh4zs/Vmdn5OmZrUl5ldbWYvmNmfsx7b3czuNbPF8X5EgefOiGUWm9mMGsT1b2b2ZHyffmFmwws8t8/3vApxzTKzlVnv1SkFntvnZ7cKcd2cFdMyM3uswHOrWV95jw1J2MdkgHB33VJ+A5qBpcAEoBWYD0zKKfMZ4Io4fTpwcw3iGgUcGqd3BZ7KE1cH8Ks61NkyYM8+lp8C3AUYcCTwUB3e09WEH2qreX0BRwOHAn/OeuzbwIVx+kLgW3metzvwdLwfEadHVDmuE4CWOP2tfHGV8p5XIa5ZwOdKeJ/7/OxWOq6c5d8BvlKH+sp7bEjCPqbbwLip5UcADgeWuPvT7r4JuAk4NafMqcC1cfpnwHQzs2oG5e6r3P2PcXoDsBAYXc1tVtCpwHUePAgMN7NRNdz+dGCpu/f3l713irvfD7yc83D2PnQtcFqep54I3OvuL7v7WuBe4KRqxuXu97j7ljj7ILBfpba3M3GVqJTPblXiip//DwE3Vmp7perj2FD3fUwGBiU/AuGgsTxrfgU7JhlvlIknileAPWoSHRC72d4OPJRn8TQzm29md5nZ5BqF5MA9Zvaomc3Ms7yUOq2m0yl8UqpHfQGMdPdVcXo1MDJPmXrX21mEFrt8ir3n1XBu7I67ukAXTj3r653A8+6+uMDymtRXzrFhIOxjkgBKfiTxzGwocCtwvruvz1n8R0LXztuA/wZuq1FYR7n7ocDJwD+Z2dE12m5RZtYKvA/43zyL61Vf23F3J5wcE8PMLga2ALMLFKn1e/5D4G+AQ4BVhC6mJPkH+m71qXp99XVsSOI+Jsmh5EcAVgJjsub3i4/lLWNmLcBuwEvVDszMBhEObrPd/ee5y919vbv3xOk7gUFmtme143L3lfH+BeAXhO6HbKXUabWcDPzR3Z/PXVCv+oqez3T9xfsX8pSpS72Z2ZnAe4Az4klzByW85xXl7s+7+1Z37wV+XGB79aqvFuDvgJsLlal2fRU4NiR2H5NkUfIjAI8AB5rZ+NhqcDpwR06ZO4DMVREfBH5T6CRRKXFMwU+Ahe7+HwXK7JMZe2RmhxP26aomZWY2xMx2zUwTBsz+OafYHcDHLTgSeCWrOb7aCn4jr0d9Zcneh2YAt+cpczdwgpmNiN08J8THqsbMTgK+ALzP3V8rUKaU97zScWWPEXt/ge2V8tmthuOAJ919Rb6F1a6vPo4NidzHJIHqPeJat2TcCFcnPUW4cuTi+NglhBMCQBuhG2UJ8DAwoQYxHUVotn4ceCzeTgHOAc6JZc4FFhCucnkQeEcN4poQtzc/bjtTX9lxGfD9WJ9PAFNr9D4OISQzu2U9VvP6IiRfq4DNhDEVnySMEZsDLAbuA3aPZacCV2U996y4ny0BPlGDuJYQxoBk9rHMVY37Anf29Z5XOa7r477zOOGkPio3rji/w2e3mnHFx6/J7FNZZWtZX4WODXXfx3QbGDf9vYWIiIikirq9REREJFWU/IiIiEiqKPkRERGRVFHyIyIiIqmi5EdERERSRcmPiIiIpIqSHxEREUmV/w/+kW1hFM089QAAAABJRU5ErkJggg==\n", 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" ] @@ -245,7 +244,7 @@ }, { "cell_type": "markdown", - "id": "false-participant", + "id": "09bf416d", "metadata": {}, "source": [ "## Signal 3\n", @@ -256,7 +255,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "italian-account", + "id": "3e600e1b", "metadata": {}, "outputs": [], "source": [ @@ -269,7 +268,7 @@ }, { "cell_type": "markdown", - "id": "aggregate-amateur", + "id": "14944ed1", "metadata": {}, "source": [ "Variable values for the parameters can be chosen with `sample` after which the signal can be created with `normal_peak` and can be plotted:" @@ -278,12 +277,12 @@ { "cell_type": "code", "execution_count": 10, - "id": "scheduled-filter", + "id": "a5541cbb", "metadata": {}, "outputs": [ { "data": { - "image/png": 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EG26AKVPc7KuJbEr0dwI3kHruR7DZW/ZS1YXBRNg3k34OR8dxCkBzM4wYAStXQufOcOCBqY27vt4+l19uJf7WVqvLb2pyo68mMtbRq+qz2HRc6cJfVNWFweZLQL8CaXMcJw0PPmgmD2beTU3tx29osGodEdtOLJ3qIKsZpkSkP/B4qqqbpHjnAduo6qlpwk8DTgPo06fPkHHjxuUsGKClpYW6urq89i0mcdUF8dXmunKjpaWF7t3rOP30nXj33XWoqVE6d1auuWYmAwcubnffWbN6MGNGT558ckOWL6/ljjteoa5uVcF0xTW9Kk3X8OHDp6vq0Jx2ymYsY6A/8GaGOMOBt4Be2RzTx6MvLXHV5rpyo7GxUR96SBVUzzlH9bLLVF98MbdjvPyyqojqLrvkvm97uuJIJeoij/HoC9LqRkS2B24FDlDVBYU4puM4azJjxrqMGQNbbglXXgmd8riDV62yppcvvwzDh0Njo9fXVzodbkcvIptiM62PUtV3Oy7JcZxUNDfDr3+9A4sWwUcfwdSp+R2nqamtzf3y5Znr953yJ5vmlfcDDUBvEZkL/BboDKCqNwGXAL2AG8Xe8KzUXOuPHMfJyKRJsGqVvUVduTL/ljMNDTY8QqIn7ZZbFlSmE0MyGr2qHpsh/FQg5ctXx3EKx9dfAwg1NWbUDQ35Hae+3oZDeOwxuPpqq7o56qgCCnVih/eMdZwyoLUVxo+Hfv2+5owzujN8eMfq1RPt6z//HO64Ay69FL73vYLJdWKGj3XjOGXAxInw9ttw4okfctFFhXt5+qtfWRXOj3/swxpXMm70jlMGXHstbLQRNDTML+hxFyywFjhNTTYCppt9ZeJG7zgx59577UXsIYdA586ZOzjmQrgFzrJl3gKnUnGjd5wY09wMJ59s63fdZb1bC0liaITwtlN5uNE7ToyZPNk6OIENMfzaaz0LevxEC5yRI+2Fb+/eBT28ExPc6B0nxtTUtC27dIHBg78q+Dnq6+G22+wcd91V8MM7McCN3nFizCuv2AQiY8ZYyTvTwGX50rcv7L+/Gf2qwoxz5sQIN3rHiSlffAETJlgd/cUXF388mpNPhrlzrQOVU1l4hynHiSmJMedHjSrN+Q45BHr2tN6yU6euOVuVU7640TtOTLn3XthuO9h++9Kcr1s3M/dHH7Vqoi5dbOlmX/541Y3jxJCHHrKmlXvuWdrZoDbc0JarVvnIlpWEG73jxIzmZjjuOFu//fbS9lY94YS2P5aODJzmxAs3eseJGU1NbfPBrlhR2lL17rvDEUfYhCaPPebVNpWCG73jxIwttrBlR4cjzpezzrI/moULS3tep3i40TtOzPjwQ1uee240L0P32AM22AAeeaS053WKh7e6cZyY8eijsOOOcNVV0Zy/thYOPRQeeMAGOguPheOUJ16id5wY8dln8OKLcNhh0eo4/HBYssSeKJzyx43ecWLE+PE2bHDURj9iBPTo4dU3lYJX3ThOjHj0URgwAAYNilZH167wwx/Cww+bnhEjvAVOOeMleseJCUuW2LDEhx1W2k5S6dhuO1i0CC65xGefKnfc6B0nJlx/vfVG3XLLqJUYy5bZsrXVe8mWO270jhMDmpvht7+19fPOi0fpef/928bD916y5U1GoxeR20Vkvoi8mSZcROR6EZkjIq+LyE6Fl+k4lc2UKW3jwMel9FxfD6NH2/q993odfTmTTYn+TmBkO+EHAFsFn9OAP3dcluNUF3362DKq3rDpOPNMW86fH60Op2NkNHpVfRb4sp0ohwJ3q/ES0FNENiqUQMepBubNs+VFF8VraOCtt7ZWNxMmRK3E6QiiqpkjifQHHlfV7VKEPQ5coarPB9tPA+er6rQUcU/DSv306dNnyLhx4/IS3dLSQl1dXV77FpO46oL4anNdxplnWo3njTfOaDdeFOn1pz9txZNPbsg//vECXbq0xkZXNlSiruHDh09X1aE57aSqGT9Af+DNNGGPA8NC208DQzMdc8iQIZovjY2Nee9bTOKqSzW+2lyX6hdfqIqoXnpp5rhRpNc//6kKqk89lT6OX8fc6IguYJpm4dvhTyFa3cwDNglt9wu+cxwnCyZNst6wI9t7ExYhDQ3Wgcqrb8qXQhj9eODEoPXNrsAiVf2kAMd1nKrgiSegVy8YmtvDeMlYe20YPhz+9je4/PJ4NP10ciPjEAgicj/QAPQWkbnAb4HOAKp6EzABOBCYA3wD/KRYYh2n0mhthYkTYb/9bNTIuPKDH8CTT8JvfmOl+zi9MHYyk9HoVfXYDOEKnFUwRY5TRcycaSNWxrXaJkGi41S4l6wbffngPWMdJ0L+8hdb9uoVrY5MHH64zyVbzrjRO05ENDfDLbfY+lFHxbvue7fd4OCDrdpm4kQvzZcbbvSOExETJ1pVCMRn2IP2OP54G+isc+eolTi54kbvOBHRo4ct4zbsQTpGjLDqm8mTo1bi5IobveNExLx5Vjr+7W/LoxVL7942l60bffnhRu84EfH007DHHjaxR9xNPsE++9icti0tUStxcsGN3nEiYP58a1q5zz5RK8mNffeFFSvgueeiVuLkghu940TAlCm23HvvaHXkyu67W8sbr74pL9zoHScCnn4a1l0XhgyJWklurLUWDBtm4/M45YMbveOUGFUzyuHD4z3sQTr23RfeeMPGzo9z23+nDTd6xykx770HH3xQfvXzCb73PVteeaVVPbnZxx83escpMTffbMu4D3uQjo8/tmV43Bsn3rjRO04JaW6Ga66x9VNOKc/S8IgRbYOclUNHL8eN3nFKSmMjrFpl6+VaGq6vh1/8wtbvvbd8+gBUM270jlNCNgnmYiuXYQ/Sccoptly8OFodTna40TtOCfnyS1uee255DHuQjoEDYYMN2voDOPEm48QjjuMUjqYmGDAArroqaiUdQ8SahzY2WnNRJ954id5xSkRrKzzzjBlkJTB8OMydC3PmRK3EyYQbveOUiJkzYeHCyjH6ESNs2dgYrQ4nM270jlMiEoZYKUa/1VbQt6/X05cDbvSOUyIaG80cN944aiWFQcRK9V5PH3/c6B2nBKxcCc8+Wzml+QTDh9uQy2PHblGWnb+qBTd6xykBr75qbc4rzejXXdeWjzzSz8e9iTFZGb2IjBSRd0RkjohckCJ8UxFpFJFXReR1ETmw8FIdp3y5805b1tVFKqPgvPuuLVWlbHv6VgMZjV5EaoGxwAHAtsCxIrJtUrTfAA+q6o7AMcCNhRbqOOVKczPcdJOtH310ZZV6GxoSQy1rWff0rXSyKdHvDMxR1fdUdTkwDjg0KY4CwZz2rAt8XDiJjlPePP20taGH8h3fJh319XDBBQDCzTeXb0/fSiebnrEbAx+FtucCuyTFuRR4SkR+BnQHUo60LSKnAacB9OnTh6Y8c3xLS0ve+xaTuOqC+GqrBl1ffbUhsA0iSqdOrfToMZOmpvwGiYljem23XTdgV6ZO/Rf9+s2LWs5qxDG9IAJdqtruBzgSuDW0PQq4ISnOOcC5wXo9MBuoae+4Q4YM0XxpbGzMe99iElddqvHVVg26rrhCFVQvukj1xRc7dqy4pteGG36jRxwRtYo1iWt6dUQXME0z+HbyJ5sS/Txgk9B2v+C7MP8JjAz+OJpFpBvQG5if39+P41QOjY02CNgf/hC1kuIxePBXPPPMWrS2to1V78SHbC7JVGArERkgIl2wl63jk+J8COwNICI/ALoBnxdSqOOUIytWwPPPV/5Lyh12+IovvoDZs6NW4qQio9Gr6kpgNDAReAtrXTNLRMaIyCFBtHOBn4rITOB+4OTgEcNxqprp0+Hrryvf6AcPXgRU1ovmSiKrYYpVdQIwIem7S0Lrs4HdCyvNccqfhPHtuWekMorOhht+S//+9ntHj45ajZOM16Y5ThFparL6+e99L2olxaehwYZhTjQldeKDG73jFIlqqZ9P0NAAX3wB55xTWZ3CKgE3escpEtVSP59gnXVsef31+Lg3McON3nGKxF132XKttaLVUSreeceWqpXXA7jccaN3nCLQ3Aw332zrRx1VHaXbtnFv8HFvYoYbveMUgUoe3yYd9fVw4YW27uPexAs3escpAolWNjU11VW6PfVUWy5cGK0OZ3Xc6B2nCCxYYMsLLrDSfbWUbjfbDAYMqI4nmHIiqw5TjuPkRqL9fCWPb5OOhgYYPx4f9yZG+GVwnAKzfLm1n6+0aQOzpaHBnmjefDNqJU4CN3rHKTDTpsE331RPvXwye+1lS6++iQ9u9I5TYBIGlzC8asPr6eOHG73jFJjGRhg0CHr3jlpJdPi4N/HCjd5xCsjy5fDCC9VbbZOgoQG+/BJ++cvq6CwWd9zoHaeATJ0KS5e60SfGvfnf//Vxb+KAG73jFJBqG98mHW+/bUsf9yYeuNE7ToFobobbbrP1I46o7lKsj3sTL9zoHadATJ5cfePbpKO+Hv77v2197Njq6RkcV9zoHadA9Oply2ob3yYdp51my8RwEE50uNE7ToGYPx9E4OKLq2t8m3RstBFssw1MmRK1EsfHunGcAjFlCgwZAmPGRK0kPowYAXffbdMqdu4ctZrqxUv0jlMAvv4aXnrJjM1pY/hwaGmxYSGc6HCjd5wC8MILVmp1o1+dxHuKxsZIZVQ9WRm9iIwUkXdEZI6IXJAmztEiMltEZonIXwsr03HizZQp0KkTDBsWtZJ40bs37LCD19NHTUajF5FaYCxwALAtcKyIbJsUZyvgQmB3VR0InF14qY4TX6ZMgV13he7do1YSP4YPtyeeZcuiVlK9ZFOi3xmYo6rvqepyYBxwaFKcnwJjVXUhgKrOL6xMx4kvixbB9OlebZOOESPg22/hZz+r7k5kUSKq2n4EkSOBkap6arA9CthFVUeH4jwKvAvsDtQCl6rqkymOdRpwGkCfPn2GjBs3Li/RLS0t1NXV5bVvMYmrLoivtkrQ9eKLvbj44kFce+2rDB68KDa6Skl7uqZN68mvfrUDAF27tnLNNTMZOHBx5LqipCO6hg8fPl1Vh+a0k6q2+wGOBG4NbY8CbkiK8zjwd6AzMAD4COjZ3nGHDBmi+dLY2Jj3vsUkrrpU46utEnQdfbRqp06qTU3F05OgHNPrsstUbdQb1dpa246DrijpiC5gmmbw7eRPNlU384BNQtv9gu/CzAXGq+oKVf03VrrfKqd/HMcpQ5qb4aGHYOVKOOAAr5pIRUODvagG7zEcFdkY/VRgKxEZICJdgGOA8UlxHgUaAESkN7A18F7hZDpOPHn8cSurgo9vk476erj2WlsfM8Z7DEdBRqNX1ZXAaGAi8BbwoKrOEpExInJIEG0isEBEZgONwK9U1Ue4cCqeLl1sWVvrpdX2OPVUG7p57tyolVQnWQ2BoKoTgAlJ310SWlfgnODjOFXDBx/YJBvnn2+tS7y0mppu3WCPPWDSpKiVVCfeM9Zx8kTVjGv//W0gMzf59tlnH5g9Gz7+OGol1YcbvePkyTvvWFXEvvtGraQ82GcfWz79dLQ6qhE3esfJk0Q1hBt9duywg43ZP3ly1EqqDzd6x8mTSZNg881hwIColZQHNTU2UfjkyW0tlZzS4EbvOHmwYoU1pfTSfG7ss4/V0Z9zjvc5KCVu9I6TB6+8AkuWuNHnyvrr2/JPf7LSvZt9aXCjd5w8mDTJqiJ8ILPcePddW6p6B7NS4kbvOHnwyCPQty+8/XbUSsoLHw4hGtzoHSdHJk2CN96AefO8+iFX6uvhssts/corve9BqXCjd5wcufNOW3r1Q36ccYZNFP7hh1ErqR7c6B0nRxYHQ6n7+Db5UVdnwyE8ucaMFU6xcKN3nBxQhVdftenxfvc76+Xp1Q+5M3IkvPmmD3JWKtzoHScHEnXzJ5wAF17oJp8vI0facuLEaHVUC270jpMDTzxhy4RROfmx3XbWasmrb0qDG73j5MATT9iYLX37Rq2kvBGxP8tJk2x2Lqe4uNE7TpYsXgwvvGBTBjodZ+RIWLQIRo/2JqrFxo3ecbJk8uS2uWGdjtOjhy1vvtn7IxQbN3rHyZI774SuXa3awek4M2bY0vsjFB83esfJghdftInAly2zGaW89NlxGhqs4xTY0vsjFA83esfJgvvvbxtD3UufhaG+Hu66y9ZHj/amqsXEjd5xsuDbb23pvWELyzHHwBZbwKxZUSupbNzoHScLZsyAQYO8N2yhEYFDDrE0bWmJWk3l4kbvOBmYO9eM/vjjvTdsMTj4YKsOS8zB6xSerIxeREaKyDsiMkdELmgn3hEioiIytHASHSdaxo+35aGHRqujUhk2DHr2hMcei1pJ5ZLR6EWkFhgLHABsCxwrItumiLcO8Avg5UKLdJwo+cc/YKut4Pvfj1pJZdK5s/VNePxxWLUqajWVSTYl+p2BOar6nqouB8YBqco2vwOuBL4toD7HiZTFi6Gx0Urz3n6+eBx8MHz+ufeSLRaiiTZj6SKIHAmMVNVTg+1RwC6qOjoUZyfgYlU9QkSagPNUdVqKY50GnAbQp0+fIePGjctLdEtLC3V1dXntW0ziqgviqy3uuhobN2DMmIFcf/2rDBq0KGpZsU+vfJk6dT1+/evtAejatZVrrpnJwIGLI9dVLDqia/jw4dNVNbfqcVVt9wMcCdwa2h4F3BDargGagP7BdhMwNNNxhwwZovnS2NiY977FJK66VOOrLe669t1Xde21VZ97Llo9CeKeXvly2WWq1lNBtbbWtuOgq1h0RBcwTTP4a/Inm6qbecAmoe1+wXcJ1gG2A5pE5H1gV2C8v5B1yp3nnrOWIN98A/vt51UKxcR7yRaXbIx+KrCViAwQkS7AMcD4RKCqLlLV3qraX1X7Ay8Bh2iKqhvHKSfuuKNt3XvDFpf6evj73239uOO8CWuhyWj0qroSGA1MBN4CHlTVWSIyRkQOKbZAx4mKzz+3pfeGLQ0HHQR77QUve7u9gtMpm0iqOgGYkPTdJWniNnRcluNEy8qVwgsv2ABme+1lJu+lzOJz5JHws5/BW2/BD34QtZrKwXvGOk4KZsxYj4UL4ayzvDdsKTn8cGvG+vDDUSupLNzoHScFjY0b0KOHvYR1SkffvrD77m70hcaN3nGSWL4cnn++N4cdZhONOKXlqKPg9dfh3HO9pVOhcKN3nCQmT4aWls4cfXTUSqqTzTaz5bXX+hSDhcKN3nGSuOEG6Nx5FeusE7WS6mT2bFv6FIOFw43ecUI88ww88QSsWFHDyJFemoyCcOepTp28WWshcKN3nBC33JJYEy9NRkR9vQ0NXVNjrXC8xVPHcaN3nBAffGDLmppW7yQVISNH2sxTjY2wcmXUasofN3rHCZg/H156ybrgn3LK+z5lYMSMGgWffmrTDDodw43ecQL++lcrPV50ERx//Idu8hFz0EGw3npwzz1RKyl/3OgdJ+Cuu2DoUBg4MGolDlgfhh//GB55BJYsiVpNeeNG7zjAzJnw2mtw8slRK3HCjBoFS5fCKad4C6iO4EbvOMDll1srjy22iFqJk0xi7BvvPJU/bvRO1fPcc/DAA9Daas353EziwzPPtK17c9f8caN3qp6bbmpbdzOJFw0NbeMNiXhz13xxo3eqnrffNhPxCUbiR309TJkCgwbBWmvB4MFRKypP3OidqmbWLJgxA04/HX73O7ztfAypr4frr7eWNw88ELWa8iSrGaYcp1K58UarGhgzBnr3jlqNk4699oJttrFqNm8ZlTteoneqlsWL4e674Zhj3OTjjog9db38sk016C/Mc8ON3qla7r4bWlpsukAn/iTmkB071pta5oobvVOVqMIf/wj9+vmgWeXC9OlWsvdx6nPHjd6pSq67zkaq/PhjLx2WC97UMn/c6J2q5Prrbdna6qXDciHR1HLbba2p5aBBUSsqH7IyehEZKSLviMgcEbkgRfg5IjJbRF4XkadFZLPCS3WcwvD88/D++zaLkbedLy/q6+G226ypZdskMU4mMhq9iNQCY4EDgG2BY0Vk26RorwJDVXV74GHgqkILdZxCcdll1spm4kRvO1+O7LqrNbf8n/+xpzEnM9mU6HcG5qjqe6q6HBgHHBqOoKqNqvpNsPkS0K+wMh2nMMyYYXPC/vKXMHw4XHihm3w5cv75MHeuTRLj71cyI6rafgSRI4GRqnpqsD0K2EVVR6eJfwPwqar+PkXYacBpAH369Bkybty4vES3tLRQV1eX177FJK66IL7aSqlr1qweXHPN1nzySTceeqiZurpVsdCVC67LePPNHvz85zuiCl27tnLNNTMZOHBx5LqypSO6hg8fPl1Vh+a0k6q2+wGOBG4NbY8CbkgT9wSsRN8103GHDBmi+dLY2Jj3vsUkrrpU46utVLpefFG1WzdVUO3UybbjoCtXXJdx2WWqNTV2PWtqbDsOurKlI7qAaZrBX5M/2VTdzAM2CW33C75bDRHZB7gYOERVl+X0b+M4RaapCb791tZVvZVNuRNuaqnq1W+ZyMbopwJbicgAEekCHAOMD0cQkR2Bv2AmP7/wMh2nY/ToYUsRb2VTCdTX20v0n/7UjH7q1KgVxZuMg5qp6koRGQ1MBGqB21V1loiMwR4hxgNXA3XAQyIC8KGqHlJE3Y6TNa2tcMcdsMEGMHo07LuvlwArgfp6+8yda4PSLVkCBxzg1zYVWY1eqaoTgAlJ310SWt+nwLocpyA0N1sv2OnTbWybUaOiVuQUmmOOsZZUv/+9DWvhzWXXxIcpdiqW5mYb3mDpUquy2XzzqBU5xWBe8MYwPAaOG/3q+BAITsUSfgErAs8+G6kcp0g0NEC3brauap2pnNVxo3cqlk02sRtfxFpo+AvYyiQxBs6hh9r7mDlzolYUP7zqxqlIVq2ygcvWXddewB50kD/OVzL19fDIIzBsmE1M8u67ds0dw0v0TsXR3AyHHGJN7m66yV7SuclXPjU1cOaZNnPYH/5g72dmzeoRtaxY4CV6p6JoboYRI6xuvqYGNt00akVOKfnoo7bJSZYtg9de6xm1pFjgJXqnopg0afUXsM88E60ep7SEX8y2tkK/ft+0G79acKN3Kopp02xZU+M9YKuRRI/Z886D7t3hjjsG8Pvf+wiXXnXjVATNzXDNNfDYY3DiibDNNmbyXjdffSR6zK6/Plx0UXcuucTmIKjmjlRu9E7Z09xsY8svW2Yl+Z/+1FpfOA4oqsKyZdXdkcqrbpyy5+GHzeTB6uWfey5aPU48sBEuWwGrr+/SJVo9UeIleqdsaW6G8ePhzjtt2+d/dcLU18M118zk88934v774eKL4b334IQTqq9k70bvlCXhcWzApgRcZx2vl3dWZ+DAxTQ0wNCh1rfixhttcvHGxurKJ15145Qljz7aZvI1NWbyPv+rk4433rBqPbBqvsRTYLXgJXqnrGhuhnHj4K67bLumxsexcTKTmJFq+XKrr7/9dutvcfrp1VE4cKN3yoZw6xoRuOQS6xzj1TVOJhLt65ua7D3Or35l8xPcf79V4+y+e9QKi4sbvRN7mpth8uTVW9fU1JjJX3hhtNqc8iHRvv7yyy3/rFoFK1bAccdZ34sDD6zcAoMbvRNrwmPXgLWsAW9d4+RPQ4Pln+XLbfvDD23gu6uuqty29m70Tixpbrbp4R59tM3kE52hNt3Uq2uc/AlX43z4Idx8s9XbL18Oxx4LRx8NP/pRZeUvN3onNjQ3281XVwfnnmuP1WAGL2KlsBNPrKwb0ImGRDVOc7O92E+U7j/4AK6+Gq691oY6XrWqMgoVbvROLEhU0SxbZkPMJqit9VK8UzySS/e33GLmvnIlnH9+WwGjsdHiNzWVZz50o3dKTqLk3tAA06b1ZOxY+y5RRQPQqZMZvpfinWKTqnQvYmafGNf+4INtQpPEUArXXQcLFpSP6bvROyUhYe7rrgvnnNP2qKy6w3dxwi9ay+1GcsqfcOm+Vy84+2zLp4mqw0RV4tKlcMYZtt616+p5FeJZ6s/K6EVkJPAnoBa4VVWvSArvCtwNDAEWAD9W1fcLK9WJE+FSOay5PmwYfPEFPP44tLTA3/5mj8Tp8CoaJw4kSvcAgwatnq8TVYtgJXsw0/+v/7L12tq2Zpvt/QEA3HffpnTtWrp8ntHoRaQWGAvsC8wFporIeFWdHYr2n8BCVd1SRI4BrgR+XAzBzc1tiQSr/3tmMp9ir/fo0YOuXaPVkKpUkS7N0q2rWp3kbrtZieaZZ2CnnSyTv/CCtV8fO9YebRPdyltb26ZwC9expyJRcq+tBVWltVW8isaJHWHTB5gyZfXSfrLpr1rVVpgJ/wGItN0biaeDVasGcN99pRsjP5sS/c7AHFV9D0BExgGHAmGjPxS4NFh/GLhBREQ10y2fG209Iwdw661tiScCffrAZ5+1mUwirLTrO0Z03tTrIjb5wpdfgqqlWTFJd7VraszUU9VvzpjxGosX7+SleCf2pCrth6t4rODSZvaJP4Bw4aftqVZYvrx07fazMfqNgY9C23OBXdLFUdWVIrII6AV8EY4kIqcBpwH06dOHpqamnMTed9+mLF8+ABBsQgEAQVVZtmw5ql3WCCvtupVQo9Wwerqorp4uwZXo0LqIImK/s6amFRFh1SqorbXvktc7d1bOOmsOixd3ZvDgr9h668WAlYg226yFurrF300MERdaWlpyzp+lwHXlRjF1JQz66qt78NprPRk8+CvAJiTv0WMFY8duyYoVstq9UFNj662t0KmT0qPHTJqaFhdFX5iSvoxV1ZuBmwGGDh2qDTl2bezaFe67D5Yta6VTp5rv3ox36SJccUXX0D+rfBdWyvWamlZqampLft506126CJdf3jV4zFw9zTp63Ouuk6BUbvUwmauQvp/ymjY1NZFrPigFris3qllXusMfeWT6++L229/jlFM2p75+p6JqS5CN0c8DNglt9wu+SxVnroh0AtbFXsoWlMRb8dtvf59TTtkcWL0uOvnlSenr6Gey0047RV4vH15PpEuqNOvoccOEt9OtO041kVzHH15ftuxD6us3L50Ye7xP/8H+DN4DBgBdgJnAwKQ4ZwE3BevHAA9mOu6QIUM0XxobG/Pet5jEVZdqfLW5rtxwXblRibqAaZrBX5M/GUv0anXuo4GJWPPK21V1loiMCU44HrgNuEdE5gBfBmbvOI7jxICs6uhVdQIwIem7S0Lr3wJHFVaa4ziOUwh8KkHHcZwKx43ecRynwnGjdxzHqXDc6B3HcSoc0cKOUpD9iUU+Bz7Ic/feJPW6jQlx1QXx1ea6csN15UYl6tpMVTfIZYfIjL4jiMg0VR0atY5k4qoL4qvNdeWG68oN12V41Y3jOE6F40bvOI5T4ZSr0d8ctYA0xFUXxFeb68oN15UbrosyraN3HMdxsqdcS/SO4zhOlrjRO47jVDixNnoRGSki74jIHBG5IEV4VxF5IAh/WUT6l0DTJiLSKCKzRWSWiPwiRZwGEVkkIq8Fn0tSHasI2t4XkTeCc05LES4icn2QXq+LSNFnPRCR74fS4TURWSwiZyfFKVl6icjtIjJfRN4Mfbe+iEwSkX8Fy/XS7HtSEOdfInJSCXRdLSJvB9fq7yLSM82+7V73Iui6VETmha7XgWn2bff+LYKuB0Ka3heR19LsW5T0SucNcchfOY1pXMoPNiTy/wGb0zYO/rZJcc5k9XHwHyiBro2AnYL1dYB3U+hqAB6PIM3eB3q3E34g8AQ2N+CuwMsRXNNPsQ4fkaQXsCewE/Bm6LurgAuC9QuAK1Pstz42L8P6wHrB+npF1rUf0ClYvzKVrmyuexF0XQqcl8W1bvf+LbSupPBrgEtKmV7pvCEO+SvOJfrvJiVX1eVAYlLyMIcCdwXrDwN7i4gUU5SqfqKqM4L1JcBb2Jy55cChwN1qvAT0FJGNSnj+vYH/U9V8e0R3GFV9FpszIUw4H90FHJZi1/2BSar6paouBCYBI4upS1WfUtWVweZL2OxuJSVNemVDNvdvUXQFHnA0cH+hzpelpnTeEHn+irPRp5qUPNlQV5uUHEhMSl4SgqqiHYGXUwTXi8hMEXlCRAaWSJICT4nIdLGJ2JPJJk2LyTGkv/miSK8EfVT1k2D9U6BPijhRp90p2NNYKjJd92IwOqhSuj1NVUSU6bUH8Jmq/itNeNHTK8kbIs9fcTb6WCMidcDfgLNVNXka9xlY9cQOwP8Cj5ZI1jBV3Qk4ADhLRPYs0XkzIiJdgEOAh1IER5Vea6D2HB2rNscicjGwErgvTZRSX/c/A1sAg4FPsGqSOHEs7Zfmi5pe7XlDVPkrzkafy6TkSBEnJU9GRDpjF/I+VX0kOVxVF6tqS7A+AegsIr2LrUtV5wXL+cDfscfnMNmkabE4AJihqp8lB0SVXiE+S1RhBcv5KeJEknYicjLwQ+D4wCTWIIvrXlBU9TNVXaWqrcAtac4XVXp1Ag4HHkgXp5jplcYbIs9fcTb6qcBWIjIgKA0eA4xPijMeSLydPhKYku5mKBRB/d9twFuq+j9p4myYeFcgIjtj6VzUPyAR6S4i6yTWsRd5byZFGw+cKMauwKLQI2WxSVvKiiK9kgjno5OAf6SIMxHYT0TWC6oq9gu+KxoiMhL4NXCIqn6TJk42173QusLvdX6U5nzZ3L/FYB/gbVWdmyqwmOnVjjdEn78K/ea5kB+slci72Nv7i4PvxmAZH6AbVhUwB3gF2LwEmoZhj16vA68FnwOB04HTgzijgVlYS4OXgN1KoGvz4Hwzg3Mn0iusS4CxQXq+AQwt0XXsjhn3uqHvIkkv7M/mE2AFVg/6n9h7naeBfwGTgfWDuEOBW0P7nhLktTnAT0qgaw5Wb5vIZ4kWZn2BCe1d9yLruifIP69jJrZRsq5ge437t5i6gu/vTOSrUNySpFc73hB5/vIhEBzHcSqcOFfdOI7jOAXAjd5xHKfCcaN3HMepcNzoHcdxKhw3esdxnArHjd5xHKfCcaN3HMepcP4/Kpd1qRHD8NUAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -303,7 +302,7 @@ }, { "cell_type": "markdown", - "id": "amino-access", + "id": "13809947", "metadata": {}, "source": [ "## Signal 4\n", @@ -314,7 +313,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "compact-volunteer", + "id": "34a81669", "metadata": {}, "outputs": [], "source": [ @@ -327,7 +326,7 @@ }, { "cell_type": "markdown", - "id": "daily-still", + "id": "48ff893d", "metadata": {}, "source": [ "Again variable values for the parameters can be chosen with `sample` and then the signal can be created with the function `sine` and be plotted:" @@ -336,12 +335,12 @@ { "cell_type": "code", "execution_count": 12, - "id": "endless-dublin", + "id": "c7d3dc86", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -361,7 +360,7 @@ }, { "cell_type": "markdown", - "id": "professional-calibration", + "id": "2d249d1e", "metadata": {}, "source": [ "## Signal 5\n", @@ -372,7 +371,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "instructional-river", + "id": "837cb78e", "metadata": {}, "outputs": [], "source": [ @@ -384,7 +383,7 @@ }, { "cell_type": "markdown", - "id": "unlikely-investigator", + "id": "d522874e", "metadata": {}, "source": [ "We select arbitrary values for the parameters with the function `sample` and generate the Gaussian noise signal with `gaussian`:" @@ -393,12 +392,12 @@ { "cell_type": "code", "execution_count": 14, - "id": "electronic-policy", + "id": "1b7da8a7", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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4+mqd1166YxuhYwV/4EAdxvLjT5sG//ZvcM89sHUrPPtssv/G4XAUAif4RcKBA7BqlY5v25bcNkuWwJFHwi23wJVXqqUvkjjd8eLF0LWrWvYQGUZH6mzdCvPmab3Cuefqen/6U4p/yuFw5JWsCL6InCMiy0RkpYjcmGC9z4iIERH38Z8iK1bArl0aF2/dLu1ho21AvwgmTlRhTlR5Gw7DoYfCW2/ptBX8aAt/+nQdnnmmunWuugpefBFuuMGFaDocQSVjwReRSuB3wLnAWOAyERkbY72uwLeBWZkesxx55x0dfvrTsHlz+1b+/v2wcmXEDQQwfry6eeKJ/SuvwNy5sG6dCnk4DP3761dBtIU/bZq+fD7xCZ0+9lgd/td/RbZ1OBzBIhsW/vHASmPMKmNME/AoMCXGercDvwD2ZuGYJU2szsPnztVwTBsu2Z6Vv3Klirtf8IcNg40bNdonGmPguusi09bP36GDVtZGW/jTpsFpp+lygKVLI/txXSI6HMEkG1E6g4C1vul1wAn+FURkAjDEGPOciHw/3o5E5GrgaoB+/foRykA1GhsbM9o+V7RXrkWLuvHd7x7D/v0VVFe3cPfd8xk3bgevvnoMw4ZVsmvXYuBEnnxyGfv3b4i7nxkzegNHsXv3HEIhTWi/e3c/YAyPPz6LIUP2tFr/gQf6sXAhVFa2YAxUVRm6dZtPKLSDbt0m8t57TYRC7wGweXMNK1bUMnnySkKhdQB069aNiorjaGmBqqqWg9tmSrFex0LhypUaZVcuY0xGP+AS4D7f9JeBe33TFUAIGOZNh4BJ7e134sSJJhOmT5+e0fa5or1y3XGHMSLGgDEVFTp94IAx3boZ841v6HinTsZcd13i49x+u+6jsTEyLxTSeS+/3Hrd//5vY0RazBlnGPPmm3rMmTMjyy+80JhjjolM33yz7ufBB1vv55JLjKmpab1tphTrdSwUrlypUYrlAuaYOLqaDZfOR8AQ3/Rgb56lK3AUEBKR1cCJwDOu4jY2dXVaCQqRxkwffKDpiidM0DDL0aPbd+ksWaLx8V26ROYNHarDDz+MzHvjDXXlGKMuJBH44Q9b+/kHDoy4dMJhuOsuHf+P/2jtdjrqKG0UZv36DocjWGRD8GcDI0RkuIhUA5cCz9iFxpjtxpjexphhxphhwFvARcaYOVk4dkzCYXjoocOKsuKwthY+97nI9PDhkQrbCRN0OGZM6x6pYrFkSSRCxzJokL4w/IL/z3/aMYnrex80SBte7dsHL7ygIaLQ1ldvG3olGzbqcDjyS8aCb4xpBq4BXgKWAH83xiwSkdtE5KJM958qr7yilYl/+cvwoo0W6dxZW8MeOAB/+YtW2HboAOPG6fIxY2DNmvh9zba0aCWqv8IWdB+DBrUWfCvSFRUmbny+Dc3csCFi6VdWto3nt/vaujWVf+twOPJFVlIrGGOeB56PmvfjOOvWZeOY8ZgxQ0MS/RZrsSX02rYNDj9chfaPf4QRI9RdUlOjy63lvmyZxtZH8+GHmjsnWvBB3Tp+wd+7V904V1yxmq99bXjMc2Vb2y5eDE88AaeeCuec0zYDpxN8hyPYlFxL23PP1aFIfIs16NTXQ48e8I1vwNq18OqrrYXdCnk8t050Phw/w4a1FvwFC7RO4PLLP4z7YrQW/s03a86ce+5p6+cHJ/gOR9ApOcE/6STo1w+OOKKxaPOzW8G/6CLo3Vvnde8eWX7kkVqxG6/i1r4I4ln469ZpjD6o4I8fn7g8VvDnzdPcOccdF3s9J/gOR7ApOcEHFbXu3fcXpdhDRPBnz4aGBp33299G6iM6dFA3TzzBX7JEG0v17Nl22dChWjfw0Udqra9e3b7g20ZVAHPmxK8XcYLvcASbkhT8/v1h27bqQhcjberrVaxDIQ2XBLXI/RExiSJ1YkXoWPyhmQsX6vgxxyQuz4wZkfHocvg55BB9GTnBdziCSckKfn19cQr+gQNqeffoofUP1dWxI2K6ddOEatG9URmjbpo9e2Jb4n7BX7BAx9uz8OvqNK1DrHL4EVEr3wm+wxFMSlLwBwyAhoYOB/3UxYR14fToofUP06bB7be3znAZDsPDD6u4n312a2F/5hnNqvn227GTmB12mA6t4HfvDoMHJy5Tba1WHEeXIxZO8B2O4FKSPV717w/GCJs3R0IKi4X6eh326KHD2tq2AhsKtW38ZNe5804d+pOY+bfv1EkrtT/8UF1C48erZd4escoRCyf4DkdwKUkLv39/HW7cWNhypIMV/FgVrhbr6rFdFx56qM6fP18t+6qqxO6XoUM1XcN777XvzkkVJ/gOR3Bxgh8wbFoCa+HHwrp6fvITtdb/+EdtbHbttSq4zz6b2P0ydKh2cLJzpxN8h6OcKFmXDhSn4Ee7dOJhXSxHHQWXXAKnnAKzZsGNN8InP6m/eAwdqn5+yJ3gG5Ocq8jhcOSPkrbwN8RPFx9YkhV8y6c/DZMmqdgD/PrX7ecPspE6IpH8PNmiVy/92oiX58fhcBSOkhT8jh3hkEP2l7SFbxFR696STG9TVvCPOEJj57OJa3zlcASXkhR8gJ49m4pS8Ldt00iajh2T3+azn9Vt2ouTtwwbpsOamuxnE3WC73AEl5L04YMV/C7trxgwbFqFVLCVuKFQ2wyWsdi0SYeLF2us/rRp6ZQ0Nk7wHY7gUtKC788KWSykI/iQfJw8aI6eigrNm5/tFNJO8B2O4OJcOgHD5tHJJXV16s5J1gWUCsUi+C+8AHfcUZwd5Dgc6VLSFv6uXRotku2KyVyybVvEx54rYrmA2qvoTRb7sgqy4D/3HFxwgX7l1NS0ny7C4SgVStrCh+KLxU/XpZMqtbWxOzHJlKoqzc8TZMF/xutx2e/ScjjKgZIX/GKLxc+X4OeSoLe29edX6tChOHtFczjSoWQFv1ev4rPwbYOlXPvwc02vXrBlS6FLER9/yOs3vuHcOY7yoaR9+FBcgu9PjVzM9OoFmzcXuhTxWbtWE84NGxZpoexwlAMla+F367afysriEvxkEqcVA0F36axdq/0CfP7zMHMmRRm+63CkQ8kKfkWFZpIsJsFPNa1CUAm64K9ZA0OGqOAD/P3vhS2Pw5EvStalA5pErZgqbZPJhV8M9OqlqZebmjTOP2isXQsnngiHHw7HHw/33ad99SbTStnhKGZK1sIH7erQWfj5xza+si6qILF7t359DBmi0yeeCMuXwy23xO4S0uEoJUpa8Pv3Ly7BLyUfPgTTrbN2rQ5t376dOunQxeQ7yoGSF/zNmyP9vwadUrPwgyz41sKfMkXreyD7aSYcjqBR8oJ/4ECwY8L91NdrGogOHQpdkswIsuCvWaNDa+HX1sLXvqbjjz7qfPiO0qbkBR+Kx61TCq1sIdiCv3atdhozaFBk3rXX6nD9+sKUyeHIFyUt+AMG6PCee4qjMm7bNif42SYchjvvjFz/NWvUEPBHD40dq71/Pf10YcrocOSLkg7LtBbbAw/AY48FPytiqVj4nTtrFspCC/706XD22dqhenW1Xv+1ayP+e4sIXHwx/Pa3sGMHdOtWkOI6HDmnpC38xYt1aExxRGCUiuCLBKPx1e9+p/H1Bw5Erv+aNRH/vZ8pU3SdF1/MezEdjrxR0oJ/9tnFFYGRj85P8kXHjupGKaQrbd26yHh1NZx2WmwLH+Ckk6B3b+fWcRSecBgeeuiwnDw7JS34tbWaDRHgoYeC7c6B0vHhh8OwejUsWVK4xkxbtsCcOfrC79wZpk6F0aO14VUsC7+yUjtFeeYZ+NnPiqPOx1F6hMNwyilw333Dc/LsZEXwReQcEVkmIitF5MYYy78rIotFZIGITBORodk4bjIUSwTGvn2wZ09pCH4opG40KJwr7Z//VFfOt7+tIt+1ayQkM5aFDzBqlKan/slPXKtbR2EIhWy7IcnJs5Ox4ItIJfA74FxgLHCZiIyNWu1dYJIxZjzwD+CXmR43WUaNgpEjI70cBZVSaXQFkT5zQf35hXClPfaYXvfvfEenp09v28o2mn37dOha3ToKRV2dPjNgcuKGzoaFfzyw0hizyhjTBDwKTPGvYIyZbozZ7U2+BQzOwnGT5qKL9IHfsSOfR02NUkmcBuo6e/VVdaF07gzjx+f3+Js2qVh//vMq7kccoeVpz8I/+2wdihRHnY+j9Kithb59YcSIxpxEFWYjLHMQsNY3vQ44IcH6VwEvxFogIlcDVwP069ePUAYmVmNj48Hthww5lP37j+NXv1pEXd3Hae8zG/jL5ee997oBE1izZj6hUH1gypUJ3/pWN669dgI/+MEKLrnko7yV68knB9LSMpLhw98mFNrN6NEjmTatL506raeqajCLF7/G0qWxt+3b90S6dGnme99bzr59O+Ja+bk4X9nAlSs1gliuxsaTOf74LezbNzf7X5nGmIx+wCXAfb7pLwP3xln3S6iFX9PefidOnGgyYfr06QfHm5uN6dXLmC99KaNdZgV/ufz861/GgDGzZuW3PJZ45cqUU04xZsgQY/btS2/7dMp1zDHG9O1rzMyZOv3ww3puR4405vDDE297yinG1NXlplz5wJUrNYJWruZmvVcvv/yDtPcBzDFxdDUbLp2PAP9H8mBvXitE5CzgZuAiY8y+LBw3aWwExtNPw89/HszKuLff1uHq1QUtRtb54Q/Vd/6FL+TnvD/1FMyfDx9/HKl4ta6Z5cvju3MsffsGu3tGR2lj3c6HHNKck/1nQ/BnAyNEZLiIVAOXAq2qSEXkOOCPqNgX5HEaNUo75fjxj4MXgREOw1136fiVVwarbJly6KHqE3/iifyc9zvv1KG/sd2AATBmjM6PV2Fr6dfPCb6jcGzfrsMuXQIq+MaYZuAa4CVgCfB3Y8wiEblNRC7yVvt/wCHA4yIyT0TyHjMT5AiMUEhbhELwypYpM2ZExnP935Yt09j7qir9qvNXvJ5+ug7Xrk380unbV1sIN+fmeXM4EtLQoMNcWfhZyaVjjHkeeD5q3o9942dl4ziZ8MlPwk9/GswIDBuKZXO+BKlsmVJXp+Lb3Jz7//bDH0KXLvDII7BgQesuC212zBkz9EsjXgRE3756HbZsiWRbdTjyRa4Fv6Rb2vqprdXP+aOOCl4StdpaDcc87rjglS1Tamvhy1/W8alTc/ff3nwTnnwSbrgBzj9fxd9/rKYmHbaXV6lvXx06t46jEATepVNMDB4MffoET1AbG9WivOSS4JUtG4z1muHlKh5/5kytFO7VC667LvY6n/ykdmcY7eqJxgm+o5AUhUunWOjdGz78sNClaMvy5TocNaqw5cgVXbvqcOfOyHi2CIfhjDO0jqZDB3XlxHpp1tbq11Mo1NrVE40TfEchcYKfRXr1grlzC12KtixbpsORIwtbjlzhF/xsEwrB/v063tKi0/HEvLa2/S8oJ/iOQhJx6eSmI+6ycukEIUd7LJYt00rbI48sdElyQy4F31YKg1r4mVYKd++uUT5O8B2FoKFBAw+qqkxO9l9Wgt+7N+zdq9kTg8Ty5TB0qPqYSxHbg1QuBL+2Fr75TR1/6qnM60BEXOMrR+FoaFCjI1eUleDbvla3bClsOaJZtqx0/feQWwsf9EUOkVj7THGC7ygU27drY8VcUZaCHyS3jjFq4Zeq/x4igp+rbKWNjRp54++YPBP69dOMm44IM2fCHXeUVivwIJJrC7+sKm2tJRgkwV+/XgXLWfjps3MnHHJI9vbXt2+kIt0Br72m3UOKaNeV/rYi4XD7kU+O5GloyG2Dv7IS/CC6dKywOMFPn8bG7IZ7OpdOa556Sof+Rmu1tWr1n3KKzo9+ETjSY/v23GqBc+kUmFKPwQftBKWiorgs/N27Ydeu7O2zmBk4MDLub7T22GMaCtte62VH8rhK2yxie5MKkuAvW6aCaHO9lCIiKsjFZOGDs/ItVT4/wG9+E7HiD/hCxUstB1QhMMYJflbp0EFrwIPm0hkxQi3gUqZr19wKfrYtfHCCb1m5Ul020PrZsb2G9e3r3DnZYPdufYm6KJ0sErTGV6UekmnJpeDnwqUDTvAtK1fCuHH6mz5d5+3aBa+/ruNNTU7ss4FNq+As/CzSu3dwBH/fPu3hygl+ZjiXTm5ZuVJbgZ9+OrzxhqayCIVU6M84Q4Vqz55Cl7L4cYKfA3r1Co5LZ+VKrfRygp8Z2bbw+/TRoYvFV3FfvToi+Lt3w+zZ8OKL2jL8c5/T9TZsKGgxSwKbR8cJfhYJkkvnX//S4d69hS1HPigmC79TJ92fs/BV7A8c0HomG4s/fTq89JK+AIYP1/XWry9oMUsCa+E7H34WCYpLJxzW/nUBrr229Fsw5krw9+9X11g2LXxwfdtaVq7U4ZFHqrE0fjw88ACsWKF9DNiQTSf4meNcOjmgVy8VHtsDUqEo5X5sY5ErwW9sjOw/m0Q3vgqHtYP0Un8xR+MXfFCrfsUKHT/nHO0gHpxLJxs4l04OCErjq7q6SChmOcQw51rws23h+wU/HNbrc8st2h9uOYn+ihV6bm1Ftr1Pu3fXurCePfX+dRZ+5jiXTg4ISj6d2lo49VQtTznEMHftqq4X21lJtrAvkVwK/hNP6FdYS0t5fI35sRE6IjptU3hv3w5nnQVvvaVuHSf4mdPQoC9P2+YhF5Sd4Acpn05FhT5MpS72kLt8Orl06Xz8sYq8FTOR8vga87NypVbYWubO1fvWn05hwADn0skG27frl5N9ueaCshP8oFj4oG/0Hj0KXYr8kGvBz4WF39IC69ZpCCJoZ+zl8DVmaW6GDz5o3RNbXR3U1LTuDL7cLPxc1ec0NOTWnQNlli0TguPDB6ivL48YfMid4Nv95cLCB80dU1+v+Y4GDiwfsQdYs0ZF3y/4sTqDHzAAXnmlUKXML+GwVlw3N+sLL5sGQK7z6EAZC34QXDr19bm/wEEhV52g5NLCB/if/9GUAgMG5K4dQTZZtKjbwUrmTIXIRuNE97Uc3Rn8wIHqjti9W1+MpcwLL2hdFLROFZ0NrEsnl5SdS6djR+0kuNAWfkuLc+lkg1xW2oKmDPjmN7Vf3vbKXujQzXAYrrvuGG66SVMeZFoOG5Lp9+HHwsbil4Mff9w4HeaiPicfLp2yE3wIRmvbnTu14qtcBD9XHZnnstIW9KEeObL9sNIghG6GQrB/vz7S2YgmWrlSLfb2emCysfjl4McfNkyHo0al585JZBTkw6VTtoJfaJdOfb0Oy0Xwc11p26VLdvdrO6bZvx8uukiPk6jsNplYS4t+8hcidLOuLhLhUVmZufUZHZIZj3Ky8O1zW12dntifdlp8o8C5dHJEENIrOMHPDjt3qthnuz+B115rHX64ZUvkqywWp50WGW9p0fXz7d454QSoqdFeSS6+OHPf8oIFmkenvf+QbQu/0K6xRNjndvXq1LfVL7DY7Tn27VP3oYvSyQG9emm4WSGxN065VdrmwsLPtv8eIuGHTU1qzY0ZAzNmaKI72/jIz8iROjzjDFiyBH71K31hVFfreEND7jv6XroU9u7VR9p++aTLG29olI6IWqOJ3Be2tW02LHwbBbN/v57/oIXBbtumwx07UnfB+L+4ov3/+UirAGVq4QfBh2+bUZeLhV9drb9cWPjZ9t9DJPzw9tt1aCvr4pV/3TodfutbcMUVOt7Soi+Ib34Tbr459759u+/x4yMRNuliM7km01+tSPZi8UMhtXaD2qrZGmqQupV/3HGR8Ucfbf0ic4KfQ3r3VsG1ycsKQbm5dCA3+XRyZeGDPpA//KEO26t0toI/eLD6/Dt1Ugvfupry0dH3W29B1677Of98/YLNJI2FTXtsv1Laqw8YMCA7gu93jQWxVbNf8D/8MP1to9Mn5COPDpSp4PfqpQ+g/wLkGyf42SHbnZ/Eoz2XlF/w7dfBz34Gv/+99qUMuRewcBjGjt3ByJHqe0/Hz2yxL7j//M/k3CoDB2bHpdOvX2T8sceC5c6BSCM8SP38WncQwHvvtV6Wj9TIkCXBF5FzRGSZiKwUkRtjLK8Rkce85bNEZFg2jpsuQWhtW1+v1lM+xCoo5MrCz4VLJ5pkBL+yMiJY9uvg6qvhttt03u9+lzsB274dFi+GMWN2HKxPyMSts2aNDm+/PbkyZ8vCnz07Mj5oUOb7yzb19XD44Sr6qVr4iQS/aFw6IlIJ/A44FxgLXCYiY6NWuwqoN8YcCfw38ItMj5sJQcinYyt8sh1dEmSKzaXjJxnBHzhQRT+aKVN0aC39XDB7tn61jhu342BDqUwFv2fP5M+tv7VtJvgFP4hhntu26XkZOjR9C79Xr/gWfjG4dI4HVhpjVhljmoBHgSlR60wBHvDG/wGcKZLLnHCJCUJ6hfr68nLnQO5cOkGx8AcPjr3siCP0RbB0aW7KBurOEYHRo3fQu7cKh21LkA4ffqiilizZisWfMyfYnarY53bYsPQt/FNP1a+xAwciy/Ll0slGWOYgYK1veh1wQrx1jDHNIrId6AW0klwRuRq4GqBfv36EMqjhamxsjLv9xo0dgRN5882lHHroxrSPkUm53n//aKqqOhAKvZPX48cj0fnKFnv3jmXTpi6EQrPbX9mjvXI1NJxMQ8NGQqGVWShhfDZvrgFqmT17Gf36bWhTruXLj+fwwxsJhRbH3H7gwON5/fVdhEKLclK+5547msMO6whsZ8aMEP37T+Dtt5sJhRaktb8lSyYxcOBeQqGFSa2/eXMP4Biee+5dxo/f3mZ5MvfXgQPw9tuncOaZm3juuYHMnPkBRx6ZoqqmSKr3/caNJzJoUD3V1S2sXNmXUOjNpLedPXswcCQDB65g794RPPzwLIYM2QPAggXDqKgYypw5M6ioyOHzaIzJ6AdcAtznm/4ycG/UOguBwb7p94HeifY7ceJEkwnTp0+Pu2znTmPAmHPOMWbmzIwOkzK2XCecYMxZZ+X32IlIdL6yxb//uzGDB6e2TaJytbQYU1FhzE03ZVauZGho0Hvm7rvblqulxZguXYy57rr42190kTHjxuWmbC0txvTsacxVV0XKddllxgwblv4+u3Uz5tprk1//vff0/Dz6aOzlydxfCxfqPv76V/0/3/hG8sdPl1Tve3ud77pLy7pzZ/Lb3nSTMZWVxrz9tm77j39Ell1zjTHdu6dfLj/AHBNHV7Ph0vkIGOKbHuzNi7mOiFQBhwIF86Av8Iyel14qXN6TckqcZsm2S2fvXo3XzodLx/qyY5V/+3bYtSu+Swdg9Gj1qeciFPjvf1d3QZ8+kXkjRqgf3mZ2TIXt27Vh0WGHJb+NdcP87W/pP09z5ujwE58IZqcqTU16na0PH1Jz69TX67bjxqn7ze/Hz0ceHciOD382MEJEhotINXAp8EzUOs8AXnMULgFe9d5EBWHGDB3mIzY6HuXsw8/Wlc9VauRYVFZqZEYswbchmYmiSsaM0Xstk1DJWITDcPnlOn7PPZoeGbTlb0sLrFoVf7s779QWtU88AXfcERFqG6GTig9/2TIdPv98+kbU7NmaJmPUqOwI/syZcOut2TPo/KHU9tykcj1thW/nzpqjyC/4H3ygL+dcG58Z+/CN+uSvAV4CKoH7jTGLROQ29NPiGeAvwN9EZCWwDX0pFIy6On2ADxwoTOMO2wagHAW/pUVzhnTurDe3vyONVMlV5yfxiPeF4o/Bj8fo0TpcsqRtfvlMsPlZQIfz5nUHaBWpM2ZM621mztRz7m+YVVERSWVgKxdTsfBjGVGpXtM5c2DiRH02BwzILMrIpmhoaoJf/AJefTXzkFi/4NusmalY+FbwAY4+GhZ61SOvv67XxJhIGotckZWgQGPM88aYkcaYI4wxP/fm/dgTe4wxe40xnzXGHGmMOd4YE8fuyA+1tXDttTpeiMYdu3frw1YueXQs/kgX+0DefLPmn/nTn1JPmJVPCx8yE3zbs1m2I3Xq6iKhvdXVcOyxDUBE8GNF6tx/f9tWuP5UBlbEUhH86HKkakQ1NcG8eerOgYiFn+7XoP9FmK2veL/g9+un/zNVC98aeUcfrdlI9+zR+97+z1x7HMooCrw1n/60DgsRB19ueXQs/l6vbM4UY9QX//Wvp55LPledn8Sja9fYPXatW6c+WevHjoUViWwLfm2t5mgZPNjm/Nlx8Hi9esW2km04oO2X1gZIW6Fes0bbDPhbvSZTjpNP1n4E0kl4tnCh3g9+wW9qSr81vP8FlI1U0dBa8Csq1K2TiYXf0gLPPqvnq6KidT/BuaJsBf/YY3X47rv5P3Y5plWA1ha+P3e7TUOcasKsXHV+Eo9EFr61+BIxenRuYvEbGuCkk9qK7IgRsQV/1Soty+2367m+6CLN7fLKK7qPNWtgyJDUjaFx4/Rlks4X82OP6dAeM9NY/NpaFVWAc8/Nzle8dXVZ0U618ZVf8I86Sodf+hJUVcGTT0YS9eXS41C2gt+1qz4Q7xQgDN4Jvt7wxsBZZ7XON9OhQ/IWTr5dOvG6Ofzoo8TuHMvo0erDz2a4QkuLCnSsCtZYgr93L8yaBeefH0kMd/75Ot/2bBVvf+3Rv7+2Xm9qSm27cBjuvlvHr7hCp21ZMqm4tc+ZP6VBJkQ/t6k0vmpu1ugnK/gff6zDpiZ1PfXpE7keuaRsBR9gwoTCWPjl7tLZuTNy3q+7TvPN/PjHOn3ffcnf9EGqtE1G8MeMUdGwD3s22LRJRSOWQHfsqGWbPj0yb9YsdZ2cempk3oQJOpw7V4dr1qTmv7dYkd60KbXtQqGIm8l+4WVq4e/fD2u95qBLlqS3j2ii+7AYOlT/65497W9rn3kr+K+/HlnW0pK/SMGyFvzjjtNPsnxnzSy3zk8s/hTDVlwmTtThySfr0DbRT4YgVdoma+FDdt061sKMFvxwGB7wkpmce26kXuS119SVdsopkXWPOkq/rN55R4Xyo4/SE/x0RdqmRPZ3DJ6p4K9bp0J61FH61ZGNl2x9vd5r9mvUnnMbxpqIaHdQXZ2m0M6H395P2Qs+5N/Kdy4dFfxBgyIVg7bT8FSswyBY+I2Nar0FTfBjWc2g4ZNHH9363qupUWGcO1czXra0ZGbhb0wxW8kRR+jw/PMjPuyuXTUmP13Bt771c8/VYTasfL8PHiKhmXfd1X6gQbTgR3ewk69IQSf4JCf4r7/eunFKJpSrhR8t+Na6h4jwb96c/P4aG9VCqqnJXhkT0bWrhtT6k1595LUpT0bwhwxRa+7BB7PXwCae4NfVRSJwjFG3TVOTxnv7OxmxTJigFn46IZkWa5WnKvj2BXjtta2FL5PGV7YL0/PO02E2BD+67YxNvvjAA+1Hl9ln3v/C8Hewky/KWvD79NEHtT3BD4f1AUo1bDAeDQ3q3oiVSreUsa6X9eu1ZaZf8Hv00PORquAfckgk2ifXxMqYmUwMvmXWLHWZvPlm9lJ6fPihGg7WXWaxFqRtbzJ/vr5k9+yJLfgTJ6rr400vF1g6lbb2Ky1VkbaCb7+ALJkI/urVGvFz0kn6pZALwV/s5clLpsV+tIVfKMpa8CFi2STiwQf1MzdbqRjq68vPugd9ALt00a8lY1oLfkWFvoBTEfx8pUa2ZCr4/vsmWw1sEqUxrq2FX/9ajZV774204PT77y224vbJJ3U4ZEjbddqjulr7mkjHwu/cue05HDAg9X1ZPvhA91ddrS8SK86ZEC34Z5yRfGMzK/iFduOWveAfd5xam7t2xV/H5gmB7FSwlGNaBUvXrm0rbC19+6bmw89X5yeWWP3aJpNHx1JXF3E/iWSnoi6ZvPXf/rZGrNx9t0YKWUvcz/jx+oU1e7aKtu3GL1X690/Pwh81qm3cf6YWvu2Xd8yY7Fn40S6ZT31KK3Fffjmxa8YKfqENvbIX/AkT1Hq//vrYn9gffBDJE9K7d3YqWMpd8FtaVCBtJZ+lb9/itPB7927bKXUsams1p8vRR6tI2K4I08WY5AT/wgtV/Boa9D/Eus87dYKxXj916fjvLf37p2fhR+f7ARX8nTsTG2Px+OCDSKXqmDF6nTLN1OpPjWC58EJ107Xnqtm2TTulqcpGDyQZUPaC39Kiwz/+MbZf9de/VsvnnHPUOstGBUs5pka2WNGMtu5BK27T8eHni1iC/957Kt7J+uNra+GRR9SXfs89mZWnoUHL0p7gV1aqMIEmKItXf2DdOpkIfqpumN279aUV7b+3+4LUrfx9+7SeyG/hQ2bRUXv36i/6uZ00SYf2qzUe0RE+haLsBT9RxcvLL2sr0DPPVGvMxn1nSrn68CGx4Kdq4Rda8MNhjXrZsCG1Sthx4+CSS+BXv9IGZ+lW3tqIGmvJJqJXL3UjJUpfYa/J5s3pl8m6dJJtTbx8ua4bS/CjW9u+/roGTrRXtrVrdZ9+Cx8yc+vEC6UePVrdXzaXfzyc4AeE009vmzwK9Ka64AJ9OKZP1wuezqdlLMrZpWM7AInlI+7bV0U82Y6wC+3SCYXSz3J44YX6P3/2s/QjduKFZMZi8mR1OyVq6GNzAYXD6ZfJJj2zLUvbI16Ejt0XqODb7Ko//3n7ZbMhmVbwjzhCXSnZEPxo0a6s1C8jJ/hFQm0tHH+8+pT9/nl/etXmZv1MbW5OPU9INPv3C7t3l6fgh8Pw1ls6/qMftX1obWVislZ+oSx8mzHTZnb0txBNFhu/n0nkVyqCn0xDn48/jsTtp1umVHPgLF2qx7TpnP34Bf/xx2M3JIuFbXRlXTodOuj+c2Hhg34Zvftu4t7MnOAHCFtZ5X8I7MNrH2a7TqZWfmOj1tqUo+CHQpE6k/372z60qQp+vi386Cgd21js859PvTK/ri5SgZdu5NeHH2pla+/eya3fXkOfM89s/yugPVJtfLV0qQpzrErvXr1UrDdsaN07VFVV4rJ98IGu44+cyjRSJ1FY5aRJWieTqI7ACX6AGDBAwwGtGAEcc4wOJ0/Wh9mmM83Uj79zpz7l5ejDr6tLLCiptLY9cEBdIvm08GtqVEis4FtL8rrrUq/Mr62Fq67S8eefTy8YwEboZKvhWTaa+6eaXmHp0tjuHND/1b+/pm1+5RX4t3/T+bfckrhsq1drxbO/YWPXrpo51EbcpUoiC99W3MZz69ge7pzgB4QBA/RzzDaVhsgn9xe+oDdXly46nbmFr5mXytHCb09QUsmnY/38+RR8kdb5dFKpNI2FrSS1uWRSJZmQzFTJtLl/KpE1LS3axiWe4INe37lz9fl75BGdZ5OXxcMfkgnqOnzkERXeT34yvbqJeD580ICOQw6JL/g7d6qBEoRn3gk+sW/S9et1aD8LsyX41sIPwsUvBIkEpU8fHSZj4ec7cZrFL/irV6tLxZY7Vex26WZyzIXgZ0q3bvoVl4yFv2aNhjrGE/xwONLocd++SJsHWynrX8/fPaa/0RXETySXClbwDz207bKKisQVt0FJqwBZ6MS8FPALvnXlWAs/24Jfzj789ujcWS2leIIfDmvE1Omnq38X8mvhQ1vBz8SlYn3v6Qj+7t26XdAE37phkrHwE0XoQOsoKGN0etiw1oJvI4r27VOX2/PP68vGb+HbRHJ79qTWwjkc1mPW1UUaTsXLfzVpEvzP/2jdVPQXiBP8gBHLwo8WfCssmfrwly/XHb3/fuJP2XIlXuMrm8CuqUkf3j/8QecX2sJP150DEQvf70pMFpuDPWiCD8k3vnrxRR3GawFr63zsNa+r02iYefMi64RC+pVgjAr6o4/qfL+Fb12J3/ueuodsltxEvP665soxRo996qmJjbRJk7Qc3/seXHZZ6y/YIAm+c+kQ36XTpUtEULJh4YfD8MQTmiHqs5/NXorcUiJePp1QKBIS29SkqaohtU6ks4G/I/NsCX46Fv4LL+gw03QBuSAZCz8c1oRuoI3QYj0Lsep8hg/Xa24DLPx9IwP85S86jDbMrCvRpohuj0ce0Xq9Awd0m9WrEwu2tfzvvbdtOwEn+AGjY0eNmom28AcNitxM2RB89SXqDrOVLbHUiNfa9vjjdSiiv5Urdfr738/vi9P2a7tnTyVbt2Ym+N27q1CkKvjhMPzgBzp+3XXBMxySsfCT9atH1/kMH67r2zq22lr9Kjz6aLjppsg+v/OdtufFhsJOndr+f7ARY6AumurqxBa+vR9jtWFwgh9AojPzWcG3ZEPwbT+i6TTUKRfiCb59aL76Vfja1yIv4ubm/L44rUtn40ZNe5mJ4FdUaF1EqoIfCkUa+cRqz1Bo+vfX67VvX/x1/JZ5Ks+CddVYP/6OHfrcXnqpul1txs1Y56VrV31BJCP4to2EiH6NNzcnFvzTT4+sH/1/gpIaGZzgHySW4Pv7V82GD19fGsJnPpPfbs2Kib59VQD9bSIAnnhCXSC//z1ceWXmDYTSJSL42lIoUx96nz6p+/D9/zeIhoN1kSYKr62t1Wt93HGpPQvRgr9woQ7Hj49Uzia6LyZP1v4vtm5NfJz339cX12c/C08/rV8UiQS7tlZj/8eNa/t/tm3TgIRkMqrmGif4Hn7BN0YvsN/C79RJ396ZWPjWsrjnHif28ejXT8Xe/0Du3QvPPQcXX6wPc6H6AwW/4HcCMrPwQQU/VQt/wgS1ZE87LZiGQ7KNr3btUlFOpfw2KsoK/vz5Ohw/Prn7YvJkfb5tZzDxWLVK20f84Af6FbF9e/sW+sCBqiPRxw1KK1twgn8QK/jGqMW1f39rwRfRt3Smgj906K6kOssoV2KlV5g6Vb+sPvOZyLxC9AcKKvgHDsCaNZ3p2LG1rzcdevdOXfAXLNAyRPcBGxSSaXzV1KTXNFUhrKlRYbWCv2CBhkvaHrrauy8mTdL123PrrFoFhx+uL9ezz9Z58+cnri/p3j120jgn+AFkwAC1JLdvbxuSaenSJX3B37tXQ70mTarPrKAlTizBf+IJfZisn7SQ2KitVau6ZCWtQToundmzdWiTtwWNZCz8TCoyhw9vLfjjxyd/HaqqtK3NP/4RP1rHNvKyLaBtXwIvv5w4U2c8wQ9Sdlwn+B7+LH82AsDvwwf146frw3/zTRX9iROd4CciWvAXLDiUxx5Ti82m7y0kVvA/+KBLxu4cUMHfti0SXZIMc+bodun0O5sP7DV8/PH44pgNwW9p0aRqtrFkMoTD+mtoUJfY1Kl9Y7bUNUYtfFAXXkVF+1lE4wn+unX6FReEaCon+B7+z9BcWPhTp1rroiHtMpYD1kWyaZM+INdffwx796rPNQgPTCRjZoesCH7v3iok7VUi+pk9W637bCVNyzY2xcCrr8a3iK3g2xbTqTB8uIroihUqxuPHJ7+tP2NrczPcccdYTj5Z03Xbsr7/vi63gm/7Im4vSMAKvr/zl3BY3UNLlqTfx0A2cYLvEUvw7TxLJoL/yitqpXbunIIpV4b07KnW1ObNtk8CVbUDB4IRfuhv2ZuNVq6pNr7atUt7abMZGoOIvU6JLOJMLXxj4NlndToVwfdH8nTsCKNHb6elJdLAKhRSgYaISyfZIIHu3bXub8+eyLzp03WYSR8D2cQJvke04Pft2zYnRrounRdf1Cbdo0ZlXs5Sp6JCRXDzZhg8GEAC1W7BL/jZculA8n78d99VCzXIgl9XF2l5Gu+62S+adAUfNFxSREMhk8Uv3q++Ct/8pprz/nts1SqNyvNXyCcTJGBTnvvdOieeSJv9FxIn+B7duulFtj78WJE06Vj44TBMmaLjf/sbLFrULfPClji28dULL0B1dTO33BKc8MNcCX6yFr51lwRZ8Gtr4YordPyFF2Jft0wtfNB6sSOOSD2Bnl+8jz56ByecoPecvcfef1/dOam6zGIJ/pFH6vDii4NxDzvB9xCJhGZGt7K1pCP406dHcsA0N8O8ed0zLmup07evfhE99hh86lPrue22wj8olmwLfqoZM+fM0Xsz2t0YNM48U4fxeuPatk2/ArqlYf8MGqRf3y0tqblz4nHuuWpg2C8FG4OfKrEE337JfPnLwbiHMxJ8EekpIlNFZIU3bBN8JCLHikhYRBaJyAIR+Xwmx8wluRD8vXt1WFGhn3THHtuQcTlLnYoKrZSrrITPfnZdoYvTCiv4HTq0ZByDDxFBTNalYytsg451Xy5fHnu5jU1Pp+K5slJbtUJqETrxqK1VH/vbb+vQxuCnSiLBT6dyOhdkauHfCEwzxowApnnT0ewGLjfGjAPOAe4Rke4ZHjcnDBigmfi2bGkbkgmp+/C3bNFUAEcdFanwGTduR/YKXILYnPegD59NYRAUrPugU6dmZs3KfH/V1doQKBkLf/t2FdAgu3MstlNy24FJNFu3ZtYYyca1ZyNU1ybme+stjQ7bvTv7Fn6pCP4U4AFv/AHg4ugVjDHLjTErvPH1wGYgzT6CcsuAAZEGHYksfH/YVTzCYe1Orb5eU63edFMwPumCjj+LojHBc4G9/bYOd+zokLUwu2Rb2z74oA5tIr8g062bPk/tWfjpEA5r5TXAT3+a+TXo3h3Gjo2EUEJmFn69r6lN0AQ/0w5Q+hljbAPqjUDCj1wROR6oBt6Ps/xq4GqAfv36EcoghqmxsTHl7ffsOQzQK7116wJCoW2tlm/adBjGHM7LL79GTU1LjD0oixZ147rrjmX//goqK1uYMWMeW7bsSLtc+SAo5erWrRvV1cewf38FVVUtjBq1nlBoTaGLdZCHHjoMGA4I+/a1cP/9q9m3L7Py1dQcx/LlLYRC8+Ous2hRN7773WOBCn7wgwN06DA/5tdiUK4jQN++x/L220Io9G6bcq1ZM5HevfcRCi1Meb8PPXQYLS16DZqaMrsGtlzDho3ijTd6869/rQTGsGXL24RCu1PaV1OTAKfx7rurDt6zc+YMBYbz3nszWLo0CUsxqlxZxxiT8Ae8AiyM8ZsCNEStW59gPwOAZcCJ7R3TGMPEiRNNJkyfPj3lbf73f41Ru9KY+fPbLv/Nb3TZxx8n3s8dd0T2U1mp05mUKx8EqVwzZ+o5mzkzWOUyRsvUsaMxFRUHTKdOOp0pF15ozDHHJF7njjuMEYl9T/kJ0vm6+mpjevfW8ehyDR1qzOWXp7ffmTON6dRJz0Om18CW689/1nP7hS/oed6zJ739depkzPXXR6a//W1junZNv1zpAMwxcXS1XQvfGHNWvGUisklEBhhjNojIANRdE2u9bsBzwM3GmLeSfhvlGX/kQyyXjj9FcrzoA0g/17dDqa2NuL8CYqwepLZW47fvv381X/nK4Vlx0/Xpo1FJiair08rsAweK554aOVLrsbZta7ssEx++jaW3/c1m4xrYfTz1lD776aYyjk6vsHVrcNw5kLlL5xngCuAub/h09AoiUg08CTxojPlHhsfLKVbwa2pi34zJdoJy2GFq319wgfPdlyK1tbBv3xpqa9Nw9MbA+vCNiR+1ojHjKiYPP1wc91S8SJ10M2X68RsF2WDMGK132LEjs0rxoAt+ppW2dwGTRWQFcJY3jYhMEpH7vHU+B5wKXCki87zfsRkeNydYwfd3begnWcG30Ru33FIcD6ajsPTpo03yd7QTwNXYCCecUDz31MiROoyO1LGVmoESwgo9t5BehI6lpAXfGLPVGHOmMWaEMeYsY8w2b/4cY8xXvfH/M8Z0MMYc6/vNy0LZs06vXhrje+BA7Jr/ZAX/rbdszH3Wi+goQZJNr7BhQ/AbXPkZPlwTBkZb+EHq49WPfZGuXZt+5E+04AcpFz64lratmDVLW+99+GHszHbJdnM4a5Z23VZTk5tyOkqLZFrb7typhkYxCX6HDhreGG3hZ5JHJ5cceqgOE2X5bI+StvBLjVAo4sqJldkuGQu/uVmbv9vPQ4ejPZLJp2N7jyomwQd16xSLhb9njz7/LS3pZ7b0C/6BAzruBD+gtJf3OhnBX7hQW+o5wXckSzIuHSv4sVqAB5lRozRvvb9T+qAK/hlnaHROe3nvE+HPiV9fr8MgCX6mUTolRXvhXskIvq2wdYLvSJZSt/D37oXNmyP+zUw6P8kl2Qj37N5dv/J37w5eK1twgt+GROFeyfjwZ81Sn2w6TbMd5UmXLvplWYqCb0Mz167tfHDe1q3pZ8rMNZmGe/rz6QRR8J1LJwVsTzntWfgnnBDc7uccwUNErfz2BL+mJiIoxYINzXzyyUEHK0G3bdPkZ6X4jDjBLyFEEqdI3r5d+6507hxHqvTp074Pf8CA4hNJm4wwHO51MPIlaKGK2cQJfolxyCHxBf+BB7SSJoifqo5gU1UF8+fHDwVcv7743DkAM2bYMTkY+bJtW7BEMJs4wS8xunSJ7cMPh+H663X8hz8sfO/0juIhHIZ33tFOX+LFfxdboytLpH9bczDyJdNc+EHG5um3gh+0ugon+CkSz6UTCmnzeAhG7/SO4iEUioQtxrt3ilXwa2vhhhsAhPvv1+lycOnU12fWq1eucIKfIvEE32YzhOLJZugIBnV1kZ6bKivb3jt79qjFWIyCD3DZZTpsbtZhKQu+ba1rLfwguXPACX7KxPPh19bCkCHanWEQeqd3FA+1tTB1qkbhnHNO23tn40YdFqvgjxkDHTseYPZs/QreuTN4Qpgtqquhc2cn+CVDPB8+6I182mlO7B2pc8opcO65WnEb3YVmsbaytVRVwYgRO5k9O7itbLOJbW3rBL8EiOfS2b9fb+a+ffNfJkdpMHmyJu5bubL1/GJtdOVn1KidvPuudhIOTvALhRP8FIkn+LbRTL+Evfo6HPGZPFmHU6e2nl8Kgj969E727oXXX9dpJ/iFwQl+isTz4VvLxVn4jnQ58kgYOjS24FdVJe5WM+iMHr0TgJdf1umgCWE26d5d203s3Ru8/+kEP0W6dNHESP7sfxARfGfhO9JFBM4+W/Ox24gWUPHo1y8SBVaMDBy4hx499L9B6Vv4toWxE/wix2bM3L279fzNXvftzsJ3ZMLkydrV4ezZkXnFGoPvR0T7irUBD6Uu+Hv36rgT/CInXopkZ+E7ssEZZ+jwRz+KtLgtBcGHSOfgFRXBan2abfwJ7pzgFzk2RXK04G/erJ0n2OUORzosX67W8LRpkTQLpSL4n/iEDnv2LG73VHv4BT9oXzIlfNpzg7Xwo2PxN21S6z5IzagdxYc/rUJTkwr/xx+XluBDaeeachZ+CRHPpbN5s3PnODKnrk6/FEEbYB19tI4Xa6MrP2vW6HDLlvQ7CS8GbAI1cIJf9CTy4bsKW0em2G72pkzRSLC33tL5pWDhz5gR+QIu5QSD1sK3PZkFCSf4KRLPh29dOg5HptTWwj/+oXmZfvlLnVcKgm+/XjLpJLwYsIIfNOsenOCnTCwffkuL+lmdhe/IFlVV8KtfRdp7rF9f2PJkA/v1cvvtpZ1gMMiC7zoxT5FYLp36em0o4yx8RzY55BCNZmlpgUsvLQ2RzLST8GIgyILvLPwUieXScY2uHLkgFCoPn3epYXPib9oUvIppJ/gpEsvCd42uHLnAdoxS6j7vUmPOHB0uXBi8aCTn0kmRqip9+Pw+fGfhO3KB9XmHQir2pe4KKRVCoYgrzn6ZBeXaOcFPg+gUyc7Cd+SKcvB5lxp1dRqO2dQUvC8zJ/hpEJ0iedMmfaMHrRm1w+HIP0H+MnOCnwbRFv7mzdCnj/paHQ6HI6hfZq7SNg2MgXnzIpUxrpWtw+EoBjISfBHpKSJTRWSFN+yRYN1uIrJORO7N5JiFJhyGFSs0q6GtgXd5dBwORzGQqYV/IzDNGDMCmOZNx+N24LUMj1dwQiG18CFSA+/SKjgcjmIgU8GfAjzgjT8AXBxrJRGZCPQDXs7weAXHxkaD+uzr6tTCdy4dh8MRdDIV/H7GmA3e+EZU1FshIhXA3cD1GR4rENTWwksvqeifdx6MH68VuM7CdzgcQafdKB0ReQXoH2PRzf4JY4wRERNjvW8Czxtj1kk7vYOIyNXA1QD9+vUjlEFb8sbGxoy2b48TTxzHG29046mn3gVOZNu2pYRCGwternRx5UoNV67UcOVKjZyVyxiT9g9YBgzwxgcAy2Ks8xCwBlgNbAF2AHe1t++JEyeaTJg+fXpG27fHAw8YA8bce68On3suGOVKF1eu1HDlSg1XrtTIpFzAHBNHVzONw38GuAK4yxs+HeOF8kU7LiJXApOMMYkqd4uC887Txlb33afTzofvcDiCTqY+/LuAySKyAjjLm0ZEJonIfZkWLsj07g0nnaTx+OB8+A6HI/hkZOEbY7YCZ8aYPwf4aoz5fwX+mskxg8RFF8Ebb+h4nz6FLYvD4XC0h2tpmwEXXqjDmhp4993ClsXhcDjawwl+Bmzbph1U7NsXvLzXDofDEY0T/AyYMcP1SORwOIoHJ/gZYPNeux6JHA5HMeDSI2dAkPNeOxwORzRO8DMkqHmvHQ6HIxrn0nE4HI4ywQm+w+FwlAlO8B0Oh6NMcILvcDgcZYITfIfD4SgTnOA7HA5HmSDGxOqzpPCIyMfAhxnsojeafz9ouHKlhitXarhypUYplmuoMSZmOsfACn6miMgcY8ykQpcjGleu1HDlSg1XrtQot3I5l47D4XCUCU7wHQ6Ho0woZcH/U6ELEAdXrtRw5UoNV67UKKtylawP3+FwOBytKWUL3+FwOBw+nOA7HA5HmVDUgi8i54jIMhFZKSI3xlheIyKPectniciwPJRpiIhMF5HFIrJIRL4dY506EdkuIvO8349zXS7fsVeLyHvecefEWC4i8hvvnC0QkQl5KNMo37mYJyI7ROQ7Uevk5ZyJyP0isllEFvrm9RSRqSKywhv2iLPtFd46K0TkijyU6/+JyFLvOj0pIt3jbJvwmuegXLeKyEe+a3VenG0TPr85KNdjvjKtFpF5cbbN5fmKqQ95u8eMMUX5AyqB94HDgWpgPjA2ap1vAn/wxi8FHstDuQYAE7zxrsDyGOWqA54t0HlbDfROsPw84AVAgBOBWQW4rhvRxiN5P2fAqcAEYKFv3i+BG73xG4FfxNiuJ7DKG/bwxnvkuFxnA1Xe+C9ilSuZa56Dct0KXJ/EdU74/Ga7XFHL7wZ+XIDzFVMf8nWPFbOFfzyw0hizyhjTBDwKTIlaZwrwgDf+D+BMEdsLbW4wxmwwxrzjje8ElgCDcnnMLDMFeNAobwHdRWRAHo9/JvC+MSaTVtZpY4x5DdgWNdt/Hz0AXBxj008CU40x24wx9cBU4JxclssY87IxptmbfAsYnK3jZVKuJEnm+c1JuTwN+BzwSLaOlywJ9CEv91gxC/4gYK1veh1thfXgOt6DsR3olZfSAZ4L6ThgVozFtSIyX0ReEJFx+SoTYICXRWSuiFwdY3ky5zWXXEr8B7FQ56yfMWaDN74R6BdjnUKft6+gX2axaO+a54JrPFfT/XHcE4U8X6cAm4wxK+Isz8v5itKHvNxjxSz4gUZEDgGeAL5jjNkRtfgd1GVxDPBb4Kk8Fu1kY8wE4FzgWyJyah6PnRARqQYuAh6PsbiQ5+wgRr+tAxXLLCI3A83AQ3FWyfc1/z1wBHAssAF1nwSJy0hs3ef8fCXSh1zeY8Us+B8BQ3zTg715MdcRkSrgUGBrrgsmIh3Qi/mQMeaf0cuNMTuMMY3e+PNABxHpnetyecf7yBtuBp5EP639JHNec8W5wDvGmE3RCwp5zoBN1q3lDTfHWKcg501ErgQuAL7oCUUbkrjmWcUYs8kYc8AY0wL8Oc7xCnW+qoBPA4/FWyfX5yuOPuTlHitmwZ8NjBCR4Z5leCnwTNQ6zwC2JvsS4NV4D0W28PyDfwGWGGN+FWed/rYuQUSOR69DPl5EXUSkqx1HK/0WRq32DHC5KCcC232fmrkmruVVqHPm4b+PrgCejrHOS8DZItLDc2Gc7c3LGSJyDnADcJExZnecdZK55tkul7/O51NxjpfM85sLzgKWGmPWxVqY6/OVQB/yc4/loiY6Xz80omQ5Wtt/szfvNvQBAOiIugdWAm8Dh+ehTCejn2MLgHne7zzg68DXvXWuARahkQlvASfl6Xwd7h1zvnd8e878ZRPgd945fQ+YlKeydUEF/FDfvLyfM/SFswHYj/pIr0LrfaYBK4BXgJ7eupOA+3zbfsW711YC/56Hcq1Efbr2PrMRaQOB5xNd8xyX62/evbMAFbIB0eXypts8v7kslzf/r/ae8q2bz/MVTx/yco+51AoOh8NRJhSzS8fhcDgcKeAE3+FwOMoEJ/gOh8NRJjjBdzgcjjLBCb7D4XCUCU7wHQ6Ho0xwgu9wOBxlwv8HUM1epSqLuKwAAAAASUVORK5CYII=\n", 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" ] @@ -418,7 +417,7 @@ }, { "cell_type": "markdown", - "id": "guilty-amendment", + "id": "20a7ffe0", "metadata": {}, "source": [ "## Signal 6\n", @@ -429,12 +428,12 @@ { "cell_type": "code", "execution_count": 15, - "id": "serial-hundred", + "id": "3e5d18d8", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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9/gf1wQfDLruY2yUXMEFvZjz+OHTpop1zHokdYRUVUF6uy2PHqrBDfsYhBx2ymMjxx2uY4KZNwR+7okLHIIDGw9f3oC4o0De0yZPh1lvz700tnzAfejNi0iSYN09b3rUnQK7dEeYtr1kDY8bAbbfllw/dOXW5ZOt/Ou44uOsuHbF73HHBHvvYY+Mds+k+qLt3176Ua6+1NABhxlrozYh//ENL59J3oVx6KbRurfNi5hOrV8OGDbBoUXZanMcco66ebPild9xRy9NPT1+YvZGtlgYg3JigNyMWLNDXZ89Xnk7LrFUrHUX43HPx1/R8wOuYnDw5Ox2+rVurkGbDL/3yy1ree2/6rWyvE10kP91v+YIJejNh4cKdWLAALrssPmgk3Zv55z9X18vrr/tqYqC88IKW2WxxHn88fPhh8LMYTZ4MhxwCu+2W/jZHHqmjXDt2NHdLmDFBbya88koJRUXqDx8zpmE35AknaKbA8eP9sy9o1qzR1mZD3lYyzXHHqfvrt78N7g1h7VqYPh2GDWv4tkOH6sNn330zb5eRGaxTtBlQXQ2vv17CsGHQqVPDty8u1lfuZ5+FHj1UiHK5hbZ5s3YOjxgBfftmb9CU58J6+ml1af3lLzqbkZ/2vPqqvpUMHdrwbQ8/XMv//EfDHo3wYS30ZsAbb8Dq1cWcfXbj93HggSo2N9yQ+4OM3ntPwwV/8YuGv61kkmnT4ulpt2zRDuirr/b3/E6eDB06xMW5IRx2mNr77ruZt8vIDCbozYA774QWLaob1Tr38OKl8yHKobxchemYY7JrR1mZplcoLIzH+4NONJGp8xuNashpNKohkhMmQL9+2x4vXdq21QydJujhpV6Xi4i0BN4CimP1Jzjnrq9Vpxh4DOgHfAP83Dm3KOPWGg3m9ddhyhSAAoYNa3yH1uDBmvLVudyPcqio0NGPHTpk1w5vQFdFhXY2XnaZirkXVurx1luaj/zQQ2H27F157TVNrFbf7xiN6u+0ZYs+wET0gfzmm7quMdfB4YfreAbn4m8XRnhIx4e+GRjknNsoIi2AaSLysnNuRkKdC4G1zrmeInIGcDvwcx/sNRrIP//pLUmTsvtFIirqM2fC//1f7vrQN2/WTsFf/zrbliiJA7oOPFAFfsIEHZH53nuwciW8/37iFpp458476384P/54/MHgJVwD7VNp7HVw+OHwyCOwcCHstVfDtzf8pV6Xi1M2xv5sEfu4WtWGA550TAAGi9jzOwx4v0JBQU2TW9ZHHaUzHfXtmwnLssOMGdoKDuMbRiQCf/qTivnWrfrgTBRz/S311tu8ObVbJhqFP/wBnnhi20geL0dPU64Dz/dubpdwklaUi4gUAjOBnsB9zrnaP2cXYDGAc65KRNYDHYGAI2yN2ixZAr16wdFHL+KCC3o0qWXdq1d8lp8DDsicjUFSUREO/3ldfPSRDgCrro4PBKup0dI5x9atgnPbzgfqEY3qm5TX53HDDdsKeFPz3B9wgI40ffdd7VQ2wkVagu6cqwb6iEh74HkROcA51+DB4CIyChgFUFJSQkUje342btzY6G39JGx2VVdDNDqAE09cyfDhH7N581dN6mz79tvWwKFMnDiX1RkaDRP0OXv++T707FnIrFkz66yXzd+ybdu2FBUdjHNCixaO0aMr2bChBX36rGPTpu958cVeTJu2CzNnfsiWLeu32fbJJ/dg06bugCDiWLLkC84666sfp5CLROpu3adDz559eO01oaLiwx+/C9u179Hs7HLONegDXAdcWeu7qUAktlyEtsylrv3069fPNZby8vJGb+snYbNr9mz1nD7+eGZs27BB93fLLU23zSPIc1Ze7lxhoXNnnplO3XK/zamT6dOdu/VWLRMpLy93Gzc61769cyNHbr/dU0/pbyTiXKtW22+fCa680rkWLZy76ab4/rN9vlKRj3YB77sUulqvD11Edom1zBGRVsDxwKe1qk0Czo0tjwDeiB3YyCIzYt3WRxyRmf21aQO77w7z52dmf0ESjcKQIfrWMnFi+OPoI5HUMfI77QQXXaSDkRLTIAM884y6RMaM8W+Ifvv26uO//vrcH5OQb6QTh94ZKBeR2cB7wKvOuZdE5EYR8aZJeBjoKCKVwH8Df/THXKMhzJih4XCZjEbo1Ss3Bb2iIh7x4UV55DK/+Y3+H2efHRfUd96B559XMb/lFv8ikTZs0DIfxiTkG/X60J1zs4Ht4hqcc9clLP8AjMysaUZTmTFDW+eZjDfq1UuHqudaHHJZmXYqVlXlfhw9wIoV2mFaUaEdvNdfDw8+qA/wyy/399innqppCiB+Lj0fvZFdbKRonrJuHXz8cebcLR69eum+v/46s/v1m0hER0h27pwf2QK9aB3Qh9S118JXX2nrefZsf48dicDAgTpyNB/OZT5hgp6nvPeeln4IOuSm22XVKm3N5oMAlZVp67iwEIqK4uJeUxOMC+SUU2D9eigt9f9YuURiqoVsYIKep8yYoTf5YYdldr+5KuibN+vsRJ79uU7iPLD33RfPCROUO+nII7W0DtE4FRVw9NE6OCxbncWWPjdPmTED9t9f85hnkj331BGH2ZqxvrFUVqrff599sm1J5qidNqCpg4YaQp8+OpvV9Okw0nrPALj/fu2oBpqUZqMpmKDnIdOna0bBwYMzv+/CQujZM/da6N4DKF9a6LWpPcm337RooW9/06cHd8yws3BhfDlbHe/N2uUyeTLcfHN+vTYmDv2eOtWf/y0XQxc9e/OphZ5tjjwSPvgAvv8+25Zkn6++0sR1JSX692OPZaevptkK+qRJmoL02mvV73Xxxfkh7uXlmnwK/Osg69ULPv88tyaN/uwznUOzbdtsW5I/HHWURthsmw2yefL44+rSe+QR/fubb7JjR14JekN6mP/+9/hydTU89JDm+871kW/LlmlZUODfa1+vXnojf/FF5vftF/Pn56+7JVt4EVTN3e3iHDz6qCZLGzIE9thD346zQd4IejQKgwZpi7u2KNcWeufg00/jmeyKiuLf5+rIt2gURo3SjplBgzT6wa8YYU8Yc+mNZv58c7dkmk6d9Fpo7oI+fbp2up93nkaWnXii3ntVVcHbkjedomPHxl0NnigfcYTO0Xj77Xqii4v1RBcVwZdfwlVXaRRIx4464UFNTW6OIvQeZj/8oP/nmDE6kbNfrI8l+HviCZ2MIeyDS775Rj/WQs88Rx6p7ku/R6eGgWg0eSTR7bdrJ7EXk3/CCTpq99131S0VJHkj6ImddDU1Ktg9e8Z7nhNb30uWaNzumDHxsL7x4zUP9b//HW5xSkZFRXzodUGBDiryU9A/+EDLxHMa5nPmRbhYCz3zHHmk+o3vv38vWrYM93XQFJ54Ai64IN7o8xox5eWqGQAnn6zfDx6s9+ErrwQv6HnhcvniC/jPf+D88zVp0c47wz/+oWJeWKhPT9DW65FHwlNPaT6KxBjtQw+Fb79t3Gzo2aasLD5SMIg3DC8vSlDHayr5HrKYTXbcUcsJE7rmfP9TbaJRfXMfMECToG3dqv1tiW7ZRx+N1/e+33ln6N8/O370vBD0Bx9UQfvzn3XU3OjR2yaOuvBCHQjhnGakW7tW/V2JdOumP8jy5QEaniEOOkhbBAMGBOP+iETgiit0+ZFHwt8qmz9f3Wzdu2fbkvxj0SItnZOc7X9KJBrVvqGLLtL7aexY1YyTT07eaPr2Wy1rj9I98URtZF57bbAPuZwX9C1bYNw4DUH0fFhDh247FPqcc3Tm+zZt4JprtNxpp233062blt4FmktUVGgHzHXXBSeuF16o5bp1wRyvKcyfDz16xN/UjMwxcKA2JsDlxNtaXSQGVjz8sLpXQHUkEoHhw1VPXn5Z/3ZO3Y9HH719EMLuu+v6W28NNnIu5wX9xRd1ZvRLLol/l5jnwjvJJSX61AXYuFE7LhJPci4L+pQp+up79NHBHXPvvfWiLS8P7piN5bPPzN3iF5EInHuutl4nTQr/21pdJPZFiWgDILHlfeGF2oD0olc++UT76s46a/vJSLxspEHnjM/pTtFoVE9kSYm+4iSSbCh0+/b6QyXrzNtzTy1zVdAHDtS3kqAQ0Yv89dfDnRu9uhoWLND4YMMfRo6ERx6RH/tVcpXEnPktW8Ldd2t0lBfV8t13Gin3f/+nre6XX9bthg7dfl+DBqmbr6pKHwxBvbnkbAs9GlUR+/xzWLNG/VX1MWhQ6qx0O+6oD4ZcE/TKSv1kQ7AGDtS3o08+Cf7Y6fLii9rqynWxCTP9+2v57rvZtaOpRCIaNLHrrtpQGTVq25b3TjvpNT95sv49eTIccIAOJEq2r2ef1YbOiBHbNi6jUZ3M2w83TM4JuncyxoyJvx6lO8Q9mSsmkW7dck/QvZ70bAk6hLcjLBqFX/xCl+++O78iMMJEx45QWvr9j3PY5jJr12qkWyrX0bBh2iczaxa8/bb+nYpTT1W/+5Qpca2KRnVE6bhx3X3xreeUoHuJpx56qDtvvqlPv4bmgK5r8t1cFPQpU3TO0J49gz92jx7aER1WP3riPKJVVeF98OQD++23gRkz1P2Wqzinb/x13Us/+YmW//3fGsaYzN2SyK9/DatX6wA80Ei8rVuhpsafqKCcEvSKCm80qCCiCbUyOcS9Wzft5PB6t8NORYW20Pv0yc7xRbSVXlERznOWa/Hyucz++29g5Uq9f3KVFSs0c2Rdk6r36KEd7OXlGi1X38Ch447TB8Ttt2trfupUvSYLCmp8uSbrFXQRKRWRchH5WETmicilSeqUich6EZkV+1yXbF9NpaxMfeAFBY6WLTWWPFVruzF066ZPz1yIRY9G1c2ydauOVMuWO2HgQG2BXH55+Fwa3jyiu+8e/vQEuc5++20AyGm3y+efa1nf267nZtljj/ozTRYU6H06Z452ohYWwj33wAUXLPLlmkynhV4FXOGc2x84AhgtIvsnqfe2c65P7HNjRq2M4fnAL7jgC19ORi6FLia6E6qrs+dO8NLR3nNPODNVfv21hnOamPtLjx7f0apVbgt6ZaWWdbXQIT5A7eOP07vm27ff9u916+Css77y5ZqsV9Cdc8udcx/Elr8FPgG6ZN6U9IhE/DsZuSToZWXegI7suhO8HDphzFS5ZYv+lnvvnW1L8p+iIsehh+a2oH/+ubagvRDmVHz7rd576V7zw4bpdH1BzPnaoDh0EekG9AWSBShFROQjYBlwpXNuXpLtRwGjAEpKSqho5N2/cePGRm9bF5s3FwDHUF6+kC5dvgqNXalo1y5Cu3ZbueKKz9i8eUOdF5ZftrVt2xaRvjgHRUU1tG37ERUVG9Le3s9z9tVXO1JT05/q6k+oqFjZoG2D/i3TJcx27b77Vzz3XFdeeeVtdtghHL2jDTlf06fvR0lJW955p+74y3bt2tKixcFs3SoUFbm0rvm//KUts2a1p0+fdWzevMG/39E5l9YHaA3MBE5Lsq4t0Dq2PAxYUN/++vXr5xpLeXl5o7etj5IS5y66qHHb+mlXbdascQ6cu+229Or7adtxxznXoYNz06c3fFs/7Zo0Sc9RNNrwbYP8LRtCmO2aOFHP9yWX6LUwfbpzt97auOsik3aly2GHOXf88enVber/1pTfEXjfpdDVtFroItICmAg86Zx7LslDYUPC8mQR+buIdHLOrW7i8yZwunfPjZl4Zs3Ssm/frJrxow1vvRW+TJULFmhpaXODwZsoZuxY/YBGQrVsmRud0pWVcMYZ6dUNelLudEknykWAh4FPnHN3pqizW6weItI/tt8szarXNHIlFv3DD7UMg6CXlqov0ctfERY++ww6dNCP4T/z5m2fAiKMfSvJWLNGBxXV1yEadtJpoR8FnA3MEZFZse+uBvYAcM6NBUYAvxaRKmATcEbs1SDn6NYNJk7UyJEwDxf/8EMNx9t112xbEh/6vHhxfNbzMLBggXWIBokXVrxli947zmlYbWFh+McApBuyGHbqFXTn3DSgztRLzrl7gXszZVQ2SYxF79o129ak5sMPw9E6h3ja4sWLdaKQsLBgQfiFJJ/wwoq9adqqqjSP+F57hdM9kYgn6M2hhd6sSAxdDKugb9qkk1z/9KfZtkRJFPSw8P33ao+10IOltm/56qt17t45c+DAA7NnV314gt6jR3btaCo5NfQ/CDxB/9vfwjdIxmPOHHUJhaWF3qmTvmqHSdC9G9QEPbtceKFeG/eG/P29slJdmN6UermKCXotvGH/EyaEc+QjhKtDFLQjrGvXcAm6TQwdDjp2hF/+UufevO66cN5PoA2AXHe3gAn6dngXXJh75z/8UIcTe28TYaC0NFyC7oUsWgs9+xxzjN5LN98c3kZSZWXud4iCCfp2lJXF42nDmqHvww81w2KYZgkqLYWvGj641jcWLIDddtOMeEZ2WbJEy7A2kr77Tt/MrYWeh0QiOhkCwPXXh693vqoKZs8Oj7vFo7QUli2Lz7eYbT77zFrnYaGsLD5Bd1FR+BpJzz+vZXV1du3IBCboSbj4YmjdOpwDjMaP15zwrVtn25JtKS3VnOhhST1sMejhIRLRCaQLCuD008PVSIpGteMW4NZbw+kOaggm6EnYYQf19U2ZEq4ZWKJRuOACXf7LX8J18SUOLso2GzboXKfWIRoehgyBk05Sd0uYWsIVFTruBPJjVisT9BQMHaotdC89bBhIzIG+dWu4Lr4wxaJPnKhlGGdRas6cfba65cJ03Q4YoI02kfD2mTUEE/QUnHiillOmZNeORI49VsswXnxhEfRoFC65RJdvvDFcbzHNnZNO0glRHn8825bE8RpIv/hFbiQQqw8T9BR06wb77hsuQfciNn760/BdfO3aqX3ZFvTEV+iwvcU0d1q2hJEj4ZlndLLkMDxsn30WdtoJHnwwXPdTYzFBr4MhQ+DNN3WofRiYOlXL//f/wnnxhSEW3SaGDjd9++r9dOON2Y9Jr6pS99xJJ+mMQvmACXodDBmiESWXXKIXXjQKt92WvYtw6lTo3Tu8OWbCEIseiahrqmPH8L3FGLB+vZY1NdmPSX/zTZ3gfOTI7NmQaSw5Vx0UF2v52GP68ebwLC4OXiy+/x7efhtGjw7umA2ltDSeliCbbNkCBxxgYh5GBg7U+6imJvtvUM8+q7lbhg7Nng2ZxlrodRCNxkUc9CLMVsvizTdh8+Z4Z20YKS2FVavUzmyybJkmWjLCRySifUDFxfDaa9l76L79NjzxBBxxRO4n5ErEBL0Oysr0wvNm6/ZSAmRjtNvUqdqpdPTRwR63IXiRLt5Q72zgnAl62Ckr04d+tlLVRqNw/PE65H/atHB0zmYKE/Q68BL233STtsinTFGBP/bY4FsWU6fqccPceROGwUXr12unmwl6eOnVS8tsjfFIHM9RXZ1fkVDmQ6+H2gn7f/UruP9+WLFCkz8FwfPP64QWJ5wQzPEaSxhi0Zcu1bJLl+zZYNSNN4J3/vz42IogKStTV2p1dfb9+JnGWugNZPRojW9+4IFgjheNws9/rssPPBDu10Mv+uaJJ7Jn57JlWloLPbyUluqbppezPmgiEb0+9t8//yKhTNAbyD77aDjj3/6m+Z39Fq433sidgTIffaTlq69mL8bYBD38FBRo4rRsuVy+/177eUaOzC8xhzQEXURKRaRcRD4WkXkicmmSOiIifxORShGZLSKH+GNuOBg8GL75RtPr+i1cnpgXFIT/9dB72GQz77Un6J07B39sI3322Sd7gv7xx3qNhnmO08aSTgu9CrjCObc/cAQwWkT2r1VnKLB37DMKuD+jVoYMr0PF7xDGmhodJt2jh3bMhv310IsKAn0AZePhs2yZzuaUT6Fo+UivXrBwYfxeCpI5c7RsloLunFvunPsgtvwt8AlQu8tpOPCYU2YA7UUkb9tIAwcGM6vRc8/BJ5/ALbfo7OlhFnNQ+8rLdeaX1q3h4IODt8FCFnODXr20U/KLL4I/9pw56sPPhxmKaiOuAQm/RaQb8BZwgHNuQ8L3LwH/45ybFvv7deAq59z7tbYfhbbgKSkp6ff00083yuiNGzfSOsszPEya1Jm77urF+ecv5JxzvsqIXfPmtWXWrPb06bMO5+D663tTVOT4179m/JifpLEEec5mz27HpZf2ZfToSkaMqDsoPdN2jR7dl1atqvnf/53dpP2E4RpLRr7Y9fHHbRg9uh833zyHo476JlC7rrzyIDZuLGLs2A98O259NOV3HDhw4Ezn3KFJVzrn0voArYGZwGlJ1r0EDEj4+3Xg0Lr2169fP9dYysvLG71tpqiqcm6XXZw788z4d02xa/p054qLnQPnCgr0A87tsIOuaypBn7OBA53r0MG5P/+5bvszbdceezh3zjlN308YrrFk5Itda9fq9X3HHb6Y8yPJ7Np1V+fOP9/f49ZHU35H4H2XQlfTinIRkRbAROBJ59xzSaosBUoT/u4a+y5vKSzULG2TJ8c7LptCeXl8yLyXYgByd+DDiBGwZg3ccENwES81NeZyyRXat4dddw2+Y3TVKv3ko/8c0otyEeBh4BPn3J0pqk0CzolFuxwBrHfOhWR2Sf8YPlxHJr75ZsO2S5a1UURLL5olMeVAmCNbUuFl1Qsy4mX1ak2JaoKeG+yzT/Cx6PncIQrpjRQ9CjgbmCMis2LfXQ3sAeCcGwtMBoYBlcD3wPkZtzSEHH+8dq68+CIcd1x620SjMGiQipyXtfGIIzTzW9eumqp30CCtW1GhYh72ztBkeDO9b92qZRAPJS9k0UaJ5ga9esG//x3sMT1BP+igYI8bFPUKutOOTqmnjgNCnNjVH3bcUYfjv/iiDjRKh4oKzbEO6mKpqIC1azXt7LhxcH7CozAXhdwjEoEJE/Qt5pe/DOZ/sUFFuUWvXvDww7BunbpggmD2bHX17LprMMcLGhsp2kSGD9fcJb/7nUap1IeXmAjU51tZqa3ykhIVvnzilFN0Et533w3meCbouUU2knTNmZO/7hYwQW8yJSVa3ncfXHHFwfV2/s2bp+Vll6kPcdw4fSCsWQPvv1/npjnJyJF6EwVx03qCHlTSNKNpeEm6gvKjV1fr/WeCbqTEy1/iHGzdKnV2/tXUwKOPqo/8rrt0pvHEdbkYzVIfp5+u5bPP+n+sZctgl120I9kIPz16aBDAuHHBREFNnKiplcOcgrqpmKA3kbKyuIAUFtbd+Tdtmg53Pu88/fuEE/TiyuVolvro0gWOPDI4QTd3S+4wc6Y2hCoq/A9tjUbh7LN1+c47w521tCmYoDeRSAReeQV22gn23XfDNp1/tcMTH30U2rSB006Lb+tNoBH2PC1NYeRI7Yy64gp/b6SlS03Qc4nEN1K/Q1srKuLjRaqq8vNtGGyCi4xw7LHw29/CHXe0Y/FizfccjWqLe+tWDU+84w7NE37iiSr+HrUn0MhHunXT8q67dHIQvx5ey5ZB376Z36/hD97b7ebN/idzO+ggfRsQyd+3YbAWesb41a/0gnnwQf37vvu01eGchileeqmK+6uv5u/rXio++URLPwcZVVXBypXWQs8lIhHN97/rrrDffv42bLxIq8svz++3YRP0DNGtG/Tvv4aHHoLp09VnXFCg/vGCAhUzyO/XvVSUlfmfnXLlSj3HNqgotzjySG3szJ4NX37pzzE2bYK//13DaP/61/wVczBBzyjDhy9j+XI45hjo2BEmTVL/+P3353/nZ11EIvD73+vyo4/6524Ba6HnImeeqeVTT/mz/8ce0wlprrjCn/2HCRP0DNK69VZENN517Vro0AHGjIFRo5pH52ddjBihpdQ55rjxvPGGlqtX+7N/wz+6d9eW+r/+lfl9z5nTlj/9CfbdF44+OvP7Dxsm6Blk9uz2PwpW7fk/IxEV9+Yo5gC9e6vb5cMPM7/vaBSuvVaXf/Ob5tdHkQ/84hc6AO3SSzP3+0WjcMUVfVi9WsOFZ8zIzH7DjAl6BunTZ13OZ0n0i+JinWV91qzM77uiQvsmIPwTaRvJ6d5dy3vuyVxMuoYqagsrV9NQNxQT9AzSu/eGZu9aqYs+ffwR9LKyuCvHHqS5SeKI60xFQvXrp2W+hyomYoKeYZq7a6Uu+vaF5cs1IiWTRCI6YOvQQ+1Bmqv4EQm1dCmAcMklzee6MEE3AqNPHy0z3UpftUon1DjrrOZx0+YjkYi+2QLcfXdmfsd//Qt2330T993XfK4LE3QjMA4+WMtMC/rcuVr27p3Z/RrBcs45Wm7a1PR9rVihkU+DB6/0LbIqjJigG4Gx8846ACvTkS5eSmIT9Nxm99111q7//Kfp+3rmGc1gOnjwqqbvLIcwQTcCxY+O0XnzdMabzp0zu18jePr3z8yEKE89pW+Ee+75fdN3lkOYoBuB0revTmjw3XeZ2+e8edo6b06v1vlK//7w+ec6srOxTJigMedHHZU5u3KFegVdRMaJyCoRmZtifZmIrBeRWbHPdZk308gX+vTR0LTZszOzP+dU0A84IDP7M7JL//5avvde47aPRuOpBMaNS29ayHwinRb6o8CQeuq87ZzrE/vc2HSzjHwl05EuK1ZomgXzn+cH/frpm1Zj/ej33bftILNZs9pnzLZcoF5Bd869BawJwBajGVBaqjHjjzySmdGA1iGaX7RtqyOK0xH0N9/UlA/edTRvnk4z52U53WEHHb3dnBDn5XWtq5JIN+Al59x2L7YiUgZMBJYAy4ArnXPzUuxnFDAKoKSkpN/TTz/dKKM3btxI69atG7Wtn4TVLgiPbfPmteV3v+tLTQ0UFTluvXU6hx1W1ej9TZjQhfvu25uJE9+hQ4etGbMzLOerNs3Brttv70U02pHnn5+esl8k8ToSgWOPXcUHH+yMc3DVVZ+yaFFr+vRZx557Lsu78zVw4MCZzrlDk650ztX7AboBc1Osawu0ji0PAxaks89+/fq5xlJeXt7obf0krHY5Fx7bbr3VuYIC59T77dxuu33nrrnGuenTG7e/iy92rmNH52pqMmtnWM5XbZqDXfffr9fGwoWp61x9dfwaSvwUF297LeXj+QLedyl0tclRLs65Dc65jbHlyUALEenU1P0a+UlZGT8mMCsshBUrWnHLLY1PyGQRLvmH1zF69dWpr4k1MSdwYaGmDCiIKVlznEAmkSYLuojsJqK3k4j0j+2zCUFHRj6TODH2xRfHhXjTJigvb9i+vAgX85/nF15I6/jx+qB/4IFtJ1uvqYEpUzQE9qabtCPUspwq9U4SLSJPAWVAJxFZAlwPtABwzo0FRgC/FpEqYBNwRuy1wDCS4k2MHY3CI4/UsGVLIc5pTpaGsGyZ5nAxQc8vpk3T0jl90F9yiT74i4u1MbBuHSxaBLffDj/7mdY98EBtmZeVNZ+8LcmoV9Cdc2fWs/5e4N6MWWQ0GyIR+OtfP2L9+kOYMgXuvVdngD/nnPRuymef9d9GI3jKyqBly/gk697nhx9UtGfMgJISOPXU+DZeI6G5YyNFjazSu/cGrr4arrlGX6XHjk3Pnx6Nwh/+oMtXXmmzFOUTkYgm1rr5Zr0eWrXS751TV8u//w0nnqjuFWNb6m2hG0YQfPBBfNmb4KCuFleyWYqshZY/JLa4DzxQBX7KFHjrLf3umWfUFWO/+baYoBuhwJvgYOtWaNGi/o4tb5Yi56wjLN/xxF0E3nlHf3N7iCfHXC5GKIhE4MZY0oj776//Ro1E1I968MHNZzaa5s7Agepbt2iW1FgL3QgNgwdr2aFD/XW3bNGp7C6+2MS8ueCFvFo0S2pM0I3QUFqq5eLF9df94gvtRO3Z01+bjHBh0Sx1Yy4XIzTsuqv6z9MR9MpKLffe21+bDCOXMEE3QkNBAXTpAkuW1F93wQItrYVuGHFM0I1QUVqafgu9XTvo2NF/mwwjVzBBN0JF167ptdArK9XdYkm5DCOOCboRKkpLVdBrauquV1lp7hbDqI0JuhEqunbVkMSvv05dZ+tWTc5kgm4Y22KCboQKL3SxLrfLokVQXW0RLoZRGxN0I1SkE4vuhSxaC90wtsUE3QgVXbtqWVcL3UIWDSM5JuhGqNhlF83TUV8LvW1brWsYRhwTdCNUpDO4yItwsZBFw9gWE3QjdNQ3uGjBAnO3GEYyTNCN0NG1a2pB90IWLcLFMLbHBN0IHaWlsHRp8sFFX32lMxVZC90wtqdeQReRcSKySkTmplgvIvI3EakUkdkickjmzTSaE6Wl2hJftWr7dZMmafnDD8HaZBi5QDot9EeBIXWsHwrsHfuMAu5vullGcyZV6GI0ClddpcuXX24TQxtGbeoVdOfcW8CaOqoMBx5zygygvYh0zpSBRvMj1eCiigptuUN8TknDMOJkYsaiLkDirbck9t3y2hVFZBTaiqekpISKRt6RGzdubPS2fhJWuyC8tiWza+3aFsBRvPHGAnbeeemP37dp0xboC0BRUQ1t235ERcWGwOwKA2ZXw2h2djnn6v0A3YC5Kda9BAxI+Pt14ND69tmvXz/XWMrLyxu9rZ+E1S7nwmtbMrtqapwrLnbu97/f9vsFC5wD54YPd2769ODtCgNmV8PIR7uA910KXc1EC30pUJrwd9fYd4bRKESShy6+8YaWd9wB++wTvF2GEXYyEbY4CTgnFu1yBLDeObedu8UwGkKbNtrpmdjx+cYbOorUYtANIzn1ttBF5CmgDOgkIkuA64EWAM65scBkYBhQCXwPnO+XsUbzIBqFOXM0Re7gwfD663DEESroQ4bYkH/DSEW9gu6cO7Oe9Q4YnTGLjGZPRQVodwxs3qx/t2mjk14MGpRNywwj3NhIUSN0lJVBcbEuOwfHHKOtdICBA7NmlmGEHhN0I3REIirgI0eqoK9cqe6WvfaCPffMtnWGEV4yEeViGBknEoHDDoPZs+GGGzSHy89+lm2rDCPcWAvdCC1FRXDdddpBun59PCWAYRjJMUE3Qs0ee8SjWm67zfK3GEZdmKAboebtt+OCbvlbDKNuTNCNUONFvBQW6lyjZWXZtsgwwot1ihqhxot4qahQMY9Esm2RYYQXE3Qj9EQiJuSGkQ7mcjEMw8gTTNANwzDyBBN0wzCMPMEE3TAMI08wQTcMw8gTTNANwzDyBHFe4umgDyzyNfBlIzfvBKzOoDmZIqx2QXhtM7sahtnVMPLRrj2dc7skW5E1QW8KIvK+c+7QbNtRm7DaBeG1zexqGGZXw2hudpnLxTAMI08wQTcMw8gTclXQH8i2ASkIq10QXtvMroZhdjWMZmVXTvrQDcMwjO3J1Ra6YRiGUQsTdMMwjDwh1IIuIkNEZL6IVIrIH5OsLxaR8bH174pItwBsKhWRchH5WETmicilSeqUich6EZkV+1znt12x4y4SkTmxY76fZL2IyN9i52u2iBwSgE29Es7DLBHZICKX1aoT2PkSkXEiskpE5iZ810FEXhWRBbFy5xTbnhurs0BEzg3Arr+IyKex3+p5EWmfYts6f3cf7LpBRJYm/F7DUmxb5/3rg13jE2xaJCKzUmzry/lKpQ2BXl/OuVB+gELgc6AHsAPwEbB/rTq/AcbGls8AxgdgV2fgkNhyG+CzJHaVAS9l4ZwtAjrVsX4Y8DIgwBHAu1n4TVegAyOycr6AY4BDgLkJ390B/DG2/Efg9iTbdQAWxsqdY8s7+2zXCUBRbPn2ZHal87v7YNcNwJVp/NZ13r+ZtqvW+r8C1wV5vlJpQ5DXV5hb6P2BSufcQufcFuBpYHitOsOBf8aWJwCDRbwZKP3BObfcOfdBbPlb4BOgi5/HzCDDgcecMgNoLyKdAzz+YOBz51xjRwg3GefcW8CaWl8nXkf/BE5NsumJwKvOuTXOubXAq8AQP+1yzr3inKuK/TkD6Jqp4zXFrjRJ5/71xa6YBvwMeCpTx0vTplTaENj1FWZB7wIsTvh7CdsL5491Yhf+eqBjINYBMRdPX+DdJKsjIvKRiLwsIr0DMskBr4jITBEZlWR9OufUT84g9U2WjfPlUeKcWx5bXgGUJKmT7XN3Afp2lYz6fnc/+K+YK2hcChdCNs/X0cBK59yCFOt9P1+1tCGw6yvMgh5qRKQ1MBG4zDm3odbqD1C3wsHAPcALAZk1wDl3CDAUGC0ixwR03HoRkR2AU4Bnk6zO1vnaDqfvv6GK5RWRa4Aq4MkUVYL+3e8H9gL6AMtR90aYOJO6W+e+nq+6tMHv6yvMgr4UKE34u2vsu6R1RKQIaAd847dhItIC/cGedM49V3u9c26Dc25jbHky0EJEOvltl3NuaaxcBTyPvvYmks459YuhwAfOuZW1V2TrfCWw0nM9xcpVSepk5dyJyHnAScBZMTHYjjR+94zinFvpnKt2ztUAD6Y4XrbOVxFwGjA+VR0/z1cKbQjs+gqzoL8H7C0i3WOtuzOASbXqTAK83uARwBupLvpMEfPPPQx84py7M0Wd3Txfvoj0R8+zrw8aEdlJRNp4y2iH2txa1SYB54hyBLA+4VXQb1K2mrJxvmqReB2dC7yYpM5U4AQR2TnmYjgh9p1viMgQ4A/AKc6571PUSed3z7Rdif0uP01xvHTuXz84DvjUObck2Uo/z1cd2hDc9ZXpnt4M9xoPQ3uKPweuiX13I3qBA7REX+Ergf8APQKwaQD6yjQbmBX7DAMuAS6J1fkvYB7asz8DODIAu3rEjvdR7Nje+Uq0S4D7YudzDnBoQL/jTqhAt0v4LivnC32oLAe2on7KC9F+l9eBBcBrQIdY3UOBhxK2vSB2rVUC5wdgVyXqV/WuMy+ia3dgcl2/u892PR67fmajYtW5tl2xv7e7f/20K/b9o951lVA3kPNVhzYEdn3Z0H/DMIw8IcwuF8MwDKMBmKAbhmHkCSbohmEYeYIJumEYRp5ggm4YhpEnmKAbhmHkCSbohmEYecL/B1YsSZGuHu+vAAAAAElFTkSuQmCC\n", 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" ] @@ -453,7 +452,7 @@ }, { "cell_type": "markdown", - "id": "growing-boating", + "id": "071cdaf6", "metadata": {}, "source": [ "## Create a combined graph\n", @@ -464,12 +463,12 @@ { "cell_type": "code", "execution_count": 16, - "id": "arranged-tours", + "id": "3b038da5", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -495,7 +494,7 @@ { "cell_type": "code", "execution_count": null, - "id": "anticipated-marathon", + "id": "601dde7e", "metadata": {}, "outputs": [], "source": [] diff --git a/test_mvp.ipynb b/test_mvp.ipynb index 08fe4b6..9f03e54 100644 --- a/test_mvp.ipynb +++ b/test_mvp.ipynb @@ -2,6 +2,7 @@ "cells": [ { "cell_type": "markdown", + "id": "9abc3725", "metadata": {}, "source": [ "# `sequgen` demo\n", @@ -12,6 +13,7 @@ { "cell_type": "code", "execution_count": 1, + "id": "aaea2fc5", "metadata": {}, "outputs": [], "source": [ @@ -24,6 +26,7 @@ }, { "cell_type": "markdown", + "id": "27e5b5f6", "metadata": {}, "source": [ "## Time series with static parameters\n", @@ -34,6 +37,7 @@ { "cell_type": "code", "execution_count": 2, + "id": "cf4998c0", "metadata": {}, "outputs": [], "source": [ @@ -42,6 +46,7 @@ }, { "cell_type": "markdown", + "id": "68932f9c", "metadata": {}, "source": [ "We can verify that this process has worked by checking the contents of the variable `time_points`:" @@ -50,6 +55,7 @@ { "cell_type": "code", "execution_count": 3, + "id": "0053a98b", "metadata": {}, "outputs": [ { @@ -78,6 +84,7 @@ }, { "cell_type": "markdown", + "id": "0d72cfc6", "metadata": {}, "source": [ "In this time space, we want to create a triangulary shaped signal starting at time point 5 at value 0, rising to value 1 at time point 6 and dropping back to value 0 at time point 10. The following command can achieve this:" @@ -86,14 +93,16 @@ { "cell_type": "code", "execution_count": 4, + "id": "5ea56755", "metadata": {}, "outputs": [], "source": [ - "data_points = triangular_peak(time_points, **{'height': 1, 'placement': 6, 'width_base_left': 1, 'width_base_right': 4})" + "data_points = triangular_peak(time_points, **{'height': 1, 'location': 6, 'width_base_left': 1, 'width_base_right': 4})" ] }, { "cell_type": "markdown", + "id": "30c7830a", "metadata": {}, "source": [ "So we have asked for a triangular peak with height 1, placed at time position 6, where the left part of the triangle has width 1 (so it starts at 5) and the right part has width 4 (so it ends at time point 10). We can check the contents of the variable `data_points` to verify that the command has worked:" @@ -102,6 +111,7 @@ { "cell_type": "code", "execution_count": 5, + "id": "f0b55348", "metadata": {}, "outputs": [ { @@ -109,9 +119,9 @@ "text/plain": [ "array([0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", - " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.2 , 0.4 ,\n", - " 0.6 , 0.8 , 1. , 0.95, 0.9 , 0.85, 0.8 , 0.75, 0.7 , 0.65, 0.6 ,\n", - " 0.55, 0.5 , 0.45, 0.4 , 0.35, 0.3 , 0.25, 0.2 , 0.15, 0.1 , 0.05,\n", + " 0. , 0. , 0. , 0. , 0.2 , 0.4 , 0.6 , 0.8 , 1. , 0.95, 0.9 ,\n", + " 0.85, 0.8 , 0.75, 0.7 , 0.65, 0.6 , 0.55, 0.5 , 0.45, 0.4 , 0.35,\n", + " 0.3 , 0.25, 0.2 , 0.15, 0.1 , 0.05, 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", @@ -130,6 +140,7 @@ }, { "cell_type": "markdown", + "id": "c94779fc", "metadata": {}, "source": [ "We notice that the standard value of the data points is zero. Only at the triangle that we have defined the values are non-zero. A graph provides a better view of the shape:" @@ -138,11 +149,12 @@ { "cell_type": "code", "execution_count": 6, + "id": "d277a1b7", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -158,6 +170,7 @@ " plt.figure()\n", " plt.plot(time_points, data_points, \".b-\")\n", " plt.title(title)\n", + " plt.grid(True)\n", " plt.show()\n", "\n", "title = \"triangular graph\"\n", @@ -166,6 +179,7 @@ }, { "cell_type": "markdown", + "id": "f7b34937", "metadata": {}, "source": [ "## Time series with random parameters\n", @@ -176,12 +190,13 @@ { "cell_type": "code", "execution_count": 7, + "id": "99523e75", "metadata": {}, "outputs": [], "source": [ "parameter_space = ParameterSpace([\n", " Dimension(\"height\", 1, 2),\n", - " Dimension(\"placement\", 3, 10),\n", + " Dimension(\"location\", 3, 10),\n", " Dimension(\"width_base_left\", 0.5, 1),\n", " Dimension(\"width_base_right\", 4, 6),\n", "])" @@ -189,6 +204,7 @@ }, { "cell_type": "markdown", + "id": "ff6c6985", "metadata": {}, "source": [ "Next, we generate a set of arbitrary values based on this parameter space:" @@ -197,6 +213,7 @@ { "cell_type": "code", "execution_count": 8, + "id": "c0786608", "metadata": {}, "outputs": [], "source": [ @@ -205,6 +222,7 @@ }, { "cell_type": "markdown", + "id": "14702db5", "metadata": {}, "source": [ "We can verify that the parameter value generation was successful by checking the value of the `parameters` variable:" @@ -213,15 +231,16 @@ { "cell_type": "code", "execution_count": 9, + "id": "50089040", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{'height': 1.0918637838415952,\n", - " 'placement': 4.6254030311596175,\n", - " 'width_base_left': 0.6145108647446988,\n", - " 'width_base_right': 5.594328900386932}" + "{'height': 1.942114982053461,\n", + " 'location': 3.4831936707423954,\n", + " 'width_base_left': 0.6899571423850557,\n", + " 'width_base_right': 5.148384577863842}" ] }, "execution_count": 9, @@ -235,6 +254,7 @@ }, { "cell_type": "markdown", + "id": "160ff9be", "metadata": {}, "source": [ "Each time you run the `sample` command, you will get a different set of values. The parameters can be used to create new data points:" @@ -243,6 +263,7 @@ { "cell_type": "code", "execution_count": 10, + "id": "d2ebea0f", "metadata": {}, "outputs": [], "source": [ @@ -251,6 +272,7 @@ }, { "cell_type": "markdown", + "id": "450c68a1", "metadata": {}, "source": [ "And the graph that corresponds with these data points can then be plotted. This time we mention the parameter values in the title of the graph:" @@ -259,11 +281,12 @@ { "cell_type": "code", "execution_count": 11, + "id": "f1e596ed", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -281,9 +304,10 @@ }, { "cell_type": "markdown", + "id": "112acf73", "metadata": {}, "source": [ - "Notice that this graph might have a slightly different shape than the previous one. This depends on the position of the peak. Only when the position of the peak (parameter `placement`) coincides with a time point, will the signal shape be perfectly triangular. But since the peak position now is an arbitrary value, this is usually not the case. And when the peak position does not match a time point, the triangle can be slightly irregular at the top." + "Notice that this graph might have a slightly different shape than the previous one. This depends on the position of the peak. Only when the position of the peak (parameter `location`) coincides with a time point, will the signal shape be perfectly triangular. But since the peak position now is an arbitrary value, this is usually not the case. And when the peak position does not match a time point, the triangle can be slightly irregular at the top." ] } ],