From b1af4ae6e67efbc37ef86ff6bdcfbe8ac9b61d4c Mon Sep 17 00:00:00 2001 From: JanNeuendorf Date: Thu, 27 Jan 2022 12:53:23 +0100 Subject: [PATCH] An update to the documentation for the correlator class. --- examples/02_correlators.ipynb | 653 ++++++++++++++++++- examples/data/matrix_correlator.json.gz | Bin 0 -> 266436 bytes examples/data/matrix_correlator_V1V1.json.gz | Bin 0 -> 266649 bytes examples/data/matrix_correlator_V2V2.json.gz | Bin 0 -> 266679 bytes examples/data/matrix_correlator_V3V3.json.gz | Bin 0 -> 266521 bytes 5 files changed, 646 insertions(+), 7 deletions(-) create mode 100644 examples/data/matrix_correlator.json.gz create mode 100644 examples/data/matrix_correlator_V1V1.json.gz create mode 100644 examples/data/matrix_correlator_V2V2.json.gz create mode 100644 examples/data/matrix_correlator_V3V3.json.gz diff --git a/examples/02_correlators.ipynb b/examples/02_correlators.ipynb index 02afa38f..2a9d217a 100644 --- a/examples/02_correlators.ipynb +++ b/examples/02_correlators.ipynb @@ -81,6 +81,7 @@ "name": "stdout", "output_type": "stream", "text": [ + "Corr T=96 N=1\n", "x0/a\tCorr(x0/a)\n", "------------------\n", "8\t 548(13)\n", @@ -114,7 +115,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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", 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" ] @@ -191,7 +192,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", 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" ] @@ -268,7 +269,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", 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" ] @@ -299,7 +300,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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rfsPOuWfMLDHHoQNoAqV21wVphrl1Xaf++Z2PS35ndldxZpmAxjbnIGVmQ5KGnHObC1yyR9KqrOsHnXMvS9ohzQStfP/5NW5mB7379maFqYTSNVNDcx07gMbmZ7kuSJuCg5vvDNVVnFkmoHFVtEbKOdel9FJeIs+5PjMb9LHMN6Kry4Ly7keIAppYqVkmyf9yXZBmmJmu4jsPD8lJs+5NV3GgOVW62LyrwPGE0kuBJZnZkHNuc2ZmStI1NVjZnHMLJWXvO2718z0A6kO5312X3eSymMx1md11uWNYXqTuCUDjqtWuvQvKU09VSNaOPT879/ZI2htmUACize8sU5Dddd/78+7AzTCpewKQUas+Ur5DVAj7JcWyflZU8LsAVEmQHk5BdteFbYaZqXv62l036+7VSwlRQJOqdJAaKXA8XuTcnJjZpJmlMj+SLlbiewBUV5Ci8Oxdc8VkrqMZJoCwKrq0Z2YjzrmEc67LzEZyzg1W8rsBNJYg7667747lgXfXsVwHIIxyBqlCy3X7JfVJyvSR2pz5NQBklNqJF+TddWF319GmAEBQ5WjI2SVps6QHJWVeKvxGpkDc6wW1K6vPVG+QZpwAGp+fnXhB3l238Usd7K4DUBXOLN/Ed+NwzrVJSiaTSbW1tdV6OAByFNqJl5krytQojaUm9Ny/fOTr3XXtbVdrnfz0nAKAXKlUSrFYTJJiXs11XgQpABXj5/Usm378i5KtB45946szu+b8zF4BwFz5DVK16iMFoMGV+/UsP9x6lySKwgFEC0EKQNlV4vUs2SgKBxAVtWrICaBBBWmcGfT1LAAQNQQpAIFMTZtODI/r+bc+0onhcU1Nz45MQZbrvn3fF7Vs0YKi1+a+ngUAooSlPQC++al7CrJcl3k9y87DQ5Ly93vK93oWAIgKZqQA+JKpe8oOUdLVuqcXT41K8r8Ml7mO17MAqGe0PwBQUpA2BZICtzSQ6PcEIFr8tj9gRgpAWeueMst1TleX5zIyx/It12V24n3trpt19+qlhCgAdYEaKaDJlbvuSRKvZwHQNAhSQIPys1Tmt99TmDYFNM4E0AwIUkAD8jPLVKrfk5Tu93Tniri+fd8X9eq/flyy7im3TQGNMwE0OmqkgAYylprQwKvDeizP7rrR5IQeOzykgVeHNZaaqErdEwA0OoIU0EB+9qsPtO/4maLX7Dt+Rj/71Qeh655oUwAAV7G0B9SRUnVP3R3+Wnx0d7Rp8P/+m69rqXsCgMIIUkDEjaUmNHZxUr9897wGXhuZtRy3bNECbb+nSxtuW6b21oU6f2nS1z3PX5qk7gkAyoAgBUTckZNn9dQrv8l77vylKzNLed+89/P67SeXfd3zrQ8T+vrdt/J6FgCYI2qkgIjb1tvp68W+23o7A78EmLonAJgbZqSAiHt//LKv3XXvj1/W3auXBp5lou4JAMIjSAE1VqqAfOziRJHffVXmujBdxal7AoBwCFJADflpnNne2lLot8+SfR2zTABQHQQpoAbGUhN67l8+ytvzKdM487sbb9cDf3yz1q9aoo5Yi84lJ/J2IXdKzzatX7Vk1nFmmQCg8ig2B2ogSOPM8UuTemTDrXlDlJSug3pkw60a99n6AABQPsxIARVQzsaZxdofZOw7fka/vzKlb/V/YU7jBgAEQ5ACysxP3dOVqWlf97oyNa2HvrxS/d03SkoHtLd/l9Qnlz/T4huu0x03xWYCWnvrwjL/mwAASiFIAT6V3F0XoO4pSAF5e1v6J+POzvic/10AAOVBkAJ88DPL9LNffaC//qd3i95n3/Ezujj5//Rf+74QqoAcABAtFJsDJbx4alQ7Dw/NClGSdC45oZ2Hh/TiqVFJweqeKCAHgMZAkAKKGE18qsefO5U38Jj38/hzpzSa+DRQ3dORk2d97do7cvJs4DEDAKqHpT00tVJ1Tz946R1fr2f5wUvvqO+PbvT1nQvmz6OAHAAaBEEKTctP3dNdnXH9/dBHJe91V2dcp0dTvr739GhKG7/UQQE5ADQAlvbQlPzWPd3W3urrfre1t+rrX7lF3914e9Hrvrvxdn39K7eEGzQAIHIIUmg6Qeqebl16g5YtWlD0fssWLdCtS29Qe1uLtv/Jav3Nwz3qiM1ub9ARa9HfPNyj7X+yetZMFACgvrG0h6YTpO5pxeIbfF378zc+nOkqzguDAaB5EKTQdILUPf2HO5arv/tG/fLd8xp4bWRWqFq2aIG239OlDbctu6YonBcGA0BzIEih4ZTaiRek7inTVXzNzTH953u6mGUCAMxCkEJD8bMTL1P3VGzJLlP3lI1ZJgBALorN0RDGUhMaeHVYj+XZiZd5z93Aq8MaS03o52986LvuCQCAYpiRQkMI8p67r3/lllB1TwAA5CJIoSEEec8ddU8AgHIhSKEhBHnPXTbqngAAc0GQQl0otROvvdVfk0u/1wEA4EddBCnn3Obsz2b2bK3GguoZS01o7OKkr1qmsDvxAACYi8gHKedcXFKXmR30Ph+SRJBqAkdOntVTr/wm77nzl65o3/EzkqRv3vv5mWPF5HYgBwBgriIfpMws4Zzb4ZwbNLMhSYlajwnVsa23U0dOflBylmlbb6fmz3PsxAMAVF1ZgpQ3a7RV0hYz689zfpeuBqB4ZnYpgN2Sfu2cG5J07xyGijry/vhlX7NM749f1t2rl7ITDwBQdXMOUs65HknrJMUlLclzfpckmdmA97nPOXfIzHYE+JpeSWslHZD0ivdrNLixixOlL8pzHTvxAADVMucg5S23DeUWhGfZI2lV1vWDzrmXJe2QZoJWvr/1xs3soHffl73v6XfOHXLO9ZnZ4FzHjtpiJx4AoN5VtEbKOdel9FJeIs+5PjMb9LHMt0TSSNbnlyVdKPKdCyVlF8L4e0MtqiLITrz1q5aoI9aic8kJWZ57OUnLY+kABgBALVS62LyrwPGE0kuBJZnZgHNul3NunXfogjc7VcgeSXt9jxBVFWQn3rf6v6C9m7q18/CQnDQrTGXmrfZu6qb+CQBQM7V6afEF5amnKsTMDprZgPdTqvXBfkmxrJ8V4YeJctvW26llixYUvSazE28sNaEVi2/Qno23a2nO71m6aIH2bLxdKxbfoLGUv1oqAADKrVbtDyq2FmNmk5ImM5+dY7YiSoLsxPvVyHig2SsAAKqt0kFqpMDxeJFzaGBBduI99OWV6u++seS19IYCANRKRYOUmY045xLOuS4zG8k5x667BlTOnXjtbekfAACiqpxBqtBy3X5JfZIyfaQ2Z36NxvLiqVE9cey0RpNXZ506Yi3au6lb96/pkCR24gEAGsqci82dc11eL6gdknqccweye0p57Q3izrnN3vHegM04EXFjqQkNvDqsxw4PzQpRkjSanNBjh4c08OqwxlITGr80qUc23Jo3REnpnXmPbLhV45cmC1wBAEB0OLNCf6U1Budcm6RkMplUW1tbrYfTkH740jv66396t+R1/+VPb9M85woWkGejgBwAUEupVEqxWEySYmaWKnRd5F9ajOjr7vAXULs72rT2lsUzBeRT06a3f5fUJ5c/0+IbrtMdN8Vm6qkoIAcA1AOCFObsytS07+tyC8jv7IxXaFQAAFRerRpyooHwTjwAQLMiSGHOMjvxCrU+dUrv3mMnHgCg0RCkUNLUtOnE8Lief+sjnRge19T07A0K7MQDADQraqSQ11hqQmMXJ/XLd89r4LWRWa91WbZogbbf06UNty1Te+vCoi8izth3/Ix+f2WKnXgAgIZC+wPk9T9f/lffbQoe+vJKjV1MzzaV2olHp3IAQD2g/QHmZFtvp46c/KDoC4aXLVqgbb2d7MQDADQtaqSQ1/vjl4uGKEk6f+mK3h+/XKURAQAQPQQp5DV2caL0RQGuAwCgERGkkBe9oQAAKI0ghbzoDQUAQGkEKeRFbygAAEojSCGvIyfPat/xM0Wv2Xf8jI6cPFulEQEAED20P0BeD315pfq7b5RUujcUAADNiiCFvOgNBQBAaSztAQAAhESQAgAACImlvSY1NW16/b0LGrs4ofbWdBuDTN0TAADwhyDVRMZSExq7OKlfvnteA6+NzHoFzLJFC7T9ni5tuG0ZLxcGAMAnglQTOXLyrJ565Td5z52/dGWm3cE37/28vtX/hWoODQCAukSNVBPZ1tupZYsWFL1m2aIF2tbbWaURAQBQ3whSTeT98cuzlvPyOX/pit4fv1ylEQEAUN8IUk1k7OJEWa8DAKDZEaSaSHurvwJyv9cBANDsCFJNZP2qJeqItahQkwMnqSOWboUAAABKI0g1kfFLk3pkw62yAudN0iMbbtX4pclqDgsAgLpFkGoiR06enWlxUMi+42d05OTZKo0IAID6Rh+pJvLQl1eqv/tGSenO5m//LqlPLn+mxTdcpztuis10Nm9vXVjLYQIAUDcIUk2kva1lVsfyOzvjtRsMAAANgKU9AACAkAhSAAAAIRGkAAAAQiJIAQAAhESQAgAACIkgBQAAEBJBCgAAICSCFAAAQEgEKQAAgJAIUgAAACERpAAAAEIiSAEAAIQUqZcWO+fikrZLkpkdLHUcAACglqI2I9UnaWmA4wAAADUTqSBlZs9KGvZ7HAAAoJYCLe15S2xbJW0xs/4853dJSngf4yzDVdfUtOn19y5o7OKE2ltbtH7VEs2f52o9LAAAGpbvIOWc65G0TlJc0pI853dJkpkNeJ/7nHOHzGxHeYaKfMZSExq7OKlfvnteA6+N6PylKzPnli1aoO33dGnDbcvU3rpQ7W0tNRwpAACNx3eQMrMhSUPOuc0FLtkjaVXW9YPOuZcl7ZBmgla+OqdxZq7CO3LyrJ565Td5z52/dEX7jp+RJH3z3s/rW/1fqObQAABoeGXZteec61J6KS+R51yfmQ1WKyw55xZKWph1qLUa31sr23o7deTkB7NmonItW7RA23o7qzgqAACaQ7mKzbsKHE8ovRToi3OuT1K/pP7sma9CxwvYIymZ9fNbv99fj94fv1w0REnpman3xy9XaUQAADSPSveRuqA89VSFmNmgpEG/xwvYL+lHWZ9b1cBhauziRFmvAwAA/lU6SPkOUeViZpOSJjOfnWvsXWvtrf4KyP1eBwAA/CvX0t5IgePxIudQButXLVFHrEWF4qKT1BFLt0IAAADlVZYgZWYjkhJe0XnuOb9Lcghh/NKkHtlwq6zAeZP0yIZbNX5pssAVAAAgrDBBqtDUxn6lX+UiSfKKwgfCDAr+HTl5dqbFQSH7jp/RkZNnqzQiAACahzMrNJeRc2F6tmmzpAcl9Ug6KOkN7/UtmWt26epSXq+Z7S7vcINzzrVJSiaTSbW1tdV6OGWXacgppTubv/27pD65/JkW33Cd7rgpNtPZnIacAAD4l0qlFIvFJClmZqlC1/kOUvWq0YMUAAAoP79BKlIvLQYAAKgnBCkAAICQCFIAAAAhEaQAAABCIkgBAACERJACAAAIiSAFAAAQEkEKAAAgJIIUAABASAQpAACAkAhSAAAAIRGkAAAAQiJIAQAAhESQAgAACIkgBQAAEBJBCgAAICSCFAAAQEgEKQAAgJAIUgAAACERpAAAAEIiSAEAAIREkAIAAAiJIAUAABASQQoAACAkghQAAEBIBCkAAICQCFIAAAAhEaQAAABCIkgBAACERJACAAAIiSAFAAAQEkEKAAAgJIIUAABASAQpAACAkAhSAAAAIRGkAAAAQiJIAQAAhESQAgAACIkgBQAAENLnaj0AFDc1bXr9vQsauzih9tYWrV+1RPPnuVoPCwAAiCAVaS+eGtUTx05rNDkxc6wj1qK9m7p1/5qOGo4MAABIEVvac87FnXO7nHO7Cpzf7Jzrq/a4qm0sNaGBV4f12OGhWSFKkkaTE3rs8JAGXh3WWGqiwB0AAEA1RCpISeqTtDTfCedcXNIeSfEqjqcmfvarD7Tv+Jmi1+w7fkY/+9UHVRoRAADIJ1JBysyelTRc4PRWSX9XxeHUTHdHW1mvAwAAlRGoRsqbFdoqaYuZ9ec5v0tSwvsYN7ODcx2gd98eSYOSNpfjflF3ZWq6rNcBAIDK8D0j5YWZrUovrS3Jc36XJJnZgJkNSBpyzh0q0zi7zGykTPeKvPbWlrJeBwAAKsP3jJSZDSkdjgrNCu2RtCrr+kHn3MuSdkgzQStf/dN4sZkr7/eNeN/bK2m1c27EG09DWr9qiTpiLTqXnJDlOe8kLY+lWyEAAIDaKUv7A+dcl9JLeYk85/rMbDDsMl/273PO9Up6o5FDlCTNn+e0d1O3dh4ekpNmhalMB6m9m7rpJwUAQI2Vq9i8q8DxhALssvNaG/RL6s+d+fLO9Ul60Atuhe6x0DnXlvmR1Or3+6NiLDWhFYtv0J6Nt2vpogWzzi1dtEB7Nt6uFYtvoP0BAAA1VumGnBeUp56qEDMbVLqovNC5tT5us0fSXr/fGUVHTp7VU6/8Ju+585euzLRG+Oa9n9e3+r9QzaEBAIAslQ5StSji2S/pR1mfWyX9tgbjCO2hL69Uf/eNJa9rb11YhdEAAIBCyhWkCu2oixc5VxFmNilpMvPZufqrI2pva1F7GzvyAACIurIEKTMbcc4lnHPXtCnwluQig5cAAwCAcgkTpAot1+1Xuhh8QEq/Fy/z66jgJcAAAKCcnFm+TkV5LkzvlNss6UFJPZIOKt2K4Nmsa3bp6lJer5ntLu9wg/N27iWfPfGOvv3cb67py5SZi3r64R7CFAAAkCSlUinFYjFJiplZqtB1voNUvcoEqXX//Xl9PDk//zVKN7j8xe4/ZZkPAAD4DlKRemlxJf1barLgOZM0mpzQ0TfPVm9AAACg7jVNkPLjp6+9V+shAACAOkKQyvLoPatKXwQAAOBpmiB1Y9tCFap+ckrv3tuybmU1hwQAAOpc0wSp72y8XZKuCVO1eAnw1LTpxPC4nn/rI50YHtfUdGMX/AMA0Kgq/YqYyOjvXq6nF7Ve00dqeZX7SNHLCgCAxtE07Q+SyaTa2tpq2tn8xVOj2nl4iF5WAABEnN/2B00zI5Uxf57T3auXVv17p6ZNTxw7fU2IktLtF5ykJ46dVn/3cnpZAQBQJ5qmRiqMctYyHX3z7KzlvFz0sgIAoP403YyUX+WuZfLbo+qnr72nbetvCXx/AABQfcxI5ZGpZcqdQTqXnNDOw0N68dRo4Hv67VFFLysAAOoHQSpHqVomKV3LFHSZb8u6leqItdDLCgCABkKQyhG2lqlUPdX8eU57N3VLikYvKwAAMHfUSOUIU8vkt57q/jUdevrhnpr3sgIAAOXRdH2kSvn56x/oO/9wquR1f/UXa7Rt/S2hekPVspcVAAAozW8fKZb2cgSpZQpbT5XpZfW1u27W3auXEqIAAKhTBKkcQWqZ6A0FAEBzI0jlkallWh5rmXV8eaxl1lJdkHoqAADQeCg2L+D+NR3q715etJbp0XtW+aqnojcUAACNiSBVRKn38m1Zt1JPvfKuziUn8tZJOaVnsegNBQBAY2Jpbw7oDQUAQHMjSM2R33oqAADQeOgjVSb0hgIAoHH47SNFjVSZlKqnAgAAjYelPQAAgJAIUgAAACERpAAAAEIiSAEAAIREkAIAAAiJIAUAABASQQoAACCkpukjlUoV7KUFAAAwi9/c0AydzW+W9NtajwMAANSlFWb2UaGTzRCknKSbJF3MOtyqdLhakXMc0cZzq088t/rEc6tPPLfyapX0OysSlhp+ac/7l5+VJNPZSpJ0sdj7cxAtPLf6xHOrTzy3+sRzK7uS/zek2BwAACAkghQAAEBIzRqkJiU94f0T9YPnVp94bvWJ51afeG5V1vDF5gAAAJXSrDNSAAAAc0aQAgAACIkgBQAAEBJBCgAAIKSGb8iZyzm3S1LC+xg3s4M1HA7ycM7FJW2VtMXM+vOc5xlGlPdsJGm1JJnZjjznE95Hnl0EZP3vTUo/ty5Jj5pZIusanlvEOedezv3zkudWHU01I5X5Q97MBsxsQNKQc+5QjYeFLM65HqX/UI9LWpLnPM8wopxzB8zsoPezwzv2ctZ5nl00HZA06D2X3ZIuSDqaOclziz7n3GZJfTnHeG5V0lTtD5xzn0halfNfWmZmrvDvQi14fzDsMbO1Ocd5hhHkzWocVXoWMeEd65H0a0mrzWyEZxdNXth9OTNb4f0FvMfMFnufeW4RljWjeCj7mfDcqqdpZqScc11KT20m8pzru/Z3IGp4hpG3TulloYwR759xnl10mVl/zpJPr6RBif/N1Ymtkp7JPsBzq65mqpHqKnA8ofQyEqKPZxhR3h/Yi3MOZ/7AHlE6ZOWTEM8uMryZ4LikLd4h/jcXYV4oGsxziudWRc0UpAq5oDy1OKgrPMNo2iNph5klst5In4tnFwFZy0NxSUfzzWTk4LlFQ9xbNo/7vJ7nVgFNs7RXBP9PVf94hhHjnDsg6e+8ItdieHYRYGYJryg5Uyf1SYm/nHluNeac225mzwb8bTy3CmimIDVS4Hi8yDlEC8+wDnjLQ8M5dTc8uwhyzsWdcwdyQtOg0s+lTzy3SPI2crxZ5BKeWxU1TZAysxFJCa8IL/dcvjVmRAzPMPoyhayZmSjvL+ounl1kdUnapdkzFXHvnwmeW2QtkdTnnNvl7bI8IKV3XDrnNvPcqqtpgpRnv7J6bXj/5Vxq6QG1UWgKmmcYUd5/Jfco3a+my/tDfLvSdRkSzy5yzGxI0kHvL96MByUNZf2Fy3OLGDMbzOrZdlDSIe/4wazlPp5blTRVHylppkdK5g+NXq8BHSLC+8t3s9J/mPdIOijpjexaAJ5h9HhLQ+8pz46gnN42PLuI8Z7d9qxDqyXtztPZnOcWQV5AelDpPzcPKt0TLNO+gudWBU0XpAAAAMql2Zb2AAAAyoYgBQAAEBJBCgAAICSCFAAAQEgEKQAAgJAIUgAAACERpAAAAEIiSAFAHt7rbeK1HgeAaCNIAUB+e5R+Fx0AFESQAoD8erx30QFAQQQpAMjhnOuT9HKtxwEg+ghSAHCtLZKeLXkVgKZHkAKAa3WZ2UitBwEg+j5X6wEAQFjOuR5J6yStlvSGpEFJ273TCTMbCHHPzZKOFjnXK2lY0oj3c8HMEoEHD6AhMCMFoC55rQn6zGzAzHZL+qmkPWZ20Ltkd8hbPyjpmTzft11Sv5nt9gJaXOlAtS7k9wBoAMxIAahX27NCU8aw988hSTtC3jeeO8PknOuSdEDSqqzDCUkys8GQ3wOgARCkANSrmWJwL+jE5c0k5YYb7/xmpZfieiUdylcD5c06HcrzXYckDeYErH6lAxuAJkaQAlCXcoJQn6SRIrVKR81srSQ55wYlvSJpbZ7rtphZf57jfUrv5MvWo3RNFoAmRo0UgEbQr5x2BZnXu3gF6TO8sBX3Zqlyr0/k3jjrutzZJ3pNASBIAahP3jJcxmald+3NnMuanSpUDN6T87nQsp6k2TNgXsNOmdmgc64nN6wBaB4EKQB1xwtRB7xfb1bWElueFw3HJV3IOZaQtCTnWH++wnEvQI1kwpJ3/x1K11tJ6Z2D1EoBTYoaKQD1aFDSgBeo3lQ62Ox2zknSkpz+UQldG5riygpX3vJdsQacWyTtcM79WpLMbItz7qj3/YQooIk5M6v1GACgYryZpJ9mis29Y59IWptZrnPOHZD0d8wsAQiKpT0ADc0LR/HMZ29pbiRn118PIQpAGCztAWgGW7xZpzeU7iM108rAm7EiRAEIhaU9AE3NOXdI0gFeUgwgDJb2ADS7JYQoAGExIwUAABASM1IAAAAhEaQAAABCIkgBAACERJACAAAIiSAFAAAQEkEKAAAgJIIUAABASAQpAACAkP4/++OkbBj6YOAAAAAASUVORK5CYII=", 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" ] @@ -361,7 +362,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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Eg8GC4gqHwymfMzo6KgAkFosl97W2tkpfX1/KuQwODmaNLdt5xGKxKfsikUhKLM5rommajI6Oprw/03lN51i5zomyGxsbEwACoF7y5BpsmSIimsmOvW5+bTo3c7m9367nkYGBAfT09KCzsxM7d+4s+H2BQACJRAKhUAjBYBCRSAQA0NfXlxy8rmka1q5dW1Q8dkuQ3TJmHysYDCa3dV1Hf38/Wltbk/va2toQjUZzxpZJKBTCyMhISouTs4tT1/WUWYSapk17VmGuY+U7JyoPjpkiIprJ5p9mfh1+zuzaSzf8XGo9j6xduxbhcBgAsG5dhrhySJ9h19raimg0ioULFyIYDGLTpk3Jzy5UPB5PSWZy1XEmNUNDQyljl4qZ/dfe3o5oNIpoNIp4PI6NGzcmy/r6+gCYSZ6u6xgZGcHIyEjBn13osQo5JypdycmUUioAYCOANhFpyVAeBmBYmwER6SlnORFRTVvxUSBwpjnY/OofA3WODofJSeCJ24HACrNehRQ7aDpT0hOLxZBIJBCPx5OtKpkSKl3XsyY82WYZ2gzDSC7rYEuPPV9C5tTR0YE1a9YgGo1C1/WUz0okEuju7kZLSws2btyYN0nLdV65jlXIOVHpSurmU0oFYSZSAQBTfkqtRAgi0isivQASSqloucqJiGpe3Szgkn8AXngEuPezwKtPASeOml/v/ay5/5JvmPUqJBAIFJWEpLPXWwoGgwiHwxgcHMSOHTsy1nV2dTkFg8G8rTHZ6jjXxiqGpmlobGxEf39/SiJnGAY2bNiArq4utLe3IxAIJI+RLcZs55XvWOU+J8qspGRKRBJWkpPtJ7QLQK+jfhxAexnLiYho1afN5Q+GfwPc0wJ0n25+Hd5XkWURSumuysQwjCkLWNqtNJqmJZMFXddTxkCl129vb0/5HMMwkEgkkolFKBTC2rVrp8x2K2bMV7qOjg5s3rw5pTXIns3njNW+ZnbSVOh55TuWG+dEGeQboV7IC0ArgMG0fZr58VPqCoBQqeVFxMbZfERUGyb+ILL7e+bsvd3fM7c9NDQ0JJFIRAKBgGiaJpFIJGWmnNPg4KC0trYKgOTMs1gsJqFQSAKBgEQikeRst2g0KtFoVPr6+qSvr08ikUjKzLdwODxlpl42kUhE+vr6JBaLJWfM2TP0nJ/nPF6u2DKdh9Po6GjKzMb0mO04hoaGpsy6Sz+v6R4r2zlRbsXM5lNiJhwlUUq1AugSkTWOfSEAMRFRaXVHAWyGOQ5q2uUiknGhDKXUHABzHLsWADgwNjaG+vr66Z0gEdFM8bs9QO9FQPvjfNAxUQnGx8fR0NAAAA0iMp6rbiVm843AHF9llFieTReA26YZGxHRzHL0NfNlO/xC6lfbgqXmi4jKrhLJVO7pFKWXdwO43bG9AMCBfEEREc1IA98HHv/W1P3/vjl1+6KvAJ/o8iYmohrjZjKVbVB6wCortTwjETkB4IS9rZTKVpWIaOZb+xfA+y7LX4+tUkSucS2ZEhFdKWUopTQR0dPK4gBQajkRUc1j9x1RxZXrcTLZut66Yc7MA5AcqN5bxnIiIiKiiippNp9SSoO5LMImAEEAPQB2O2faWQtv2i1L60SkM+0zSiovIMZ6AGOczUdERESFKmY2X1mWRvAzJlNERERUrGKSqXJ18xERERHVJCZTRERERCWoxDpTRERUJm+89QbeePuNvPWWnLoES+Yt8SAiotrDZIqIaAbre6EPd/33XXnr3Xj+jfj8BZ/3ICKi2sNkiohoBms7uw0fP+PjyW19TEfXE13oXt8NrUFL7l9yKluliNzCZIqIaAZbMi9z953WoGHVolUViIio9nAA+gwwMSn41dAR/Meeg/jV0BFMTFb3chZEND0TkxP4zeHfAAB+c/g3mJicqEgcPT09yVdnZyd0XUdPT09FYsmno6MDCxcuRDxe/IM1SnkvVRe2TPnU8PhxDB89gV/+9jB6n9Bx+Ng7ybLF82ejfb2Gj753MZoWzEFT/dwKRkpEfhB/OY6tA1tx8NhBAMD/+fX/wT1778Eta29BaEUoz7vLp6OjAx0dHQgGg8l9bW1tnh2/WNFoFAMDA56/18lOOPv6+kr+LKfe3l60t7d7cqxax5Ypn/rRk6/gU9/5L3zz4edTEikAOHzsHXzz4efxqe/8F3705CsVipCI/CL+chxbfr4FKwMrsf3y7Xjys09i++XbsTKwElt+vgXxl71rOdm5c2dKIgUA27Zt8+z4M1FLSws2bdpU9s+NxWKeHavWsWXKp65edwZ+9OTLUxIpp8XzZ+PqdWd4GBUR+c3E5AS2DmzFRadfhDsuvgN1yvwb+fwl5+OOi+/AzbtuxtaBrfjEGZ/ArLpZrsdjGAZ0XYemnRz8HggEsG7dOtePPVOFQuVvOezt7YWu61P2u3EsYjLlWy8deStnIgWYLVQvHXkLywKnehQVEflNYjiBg8cOIvKxSDKRstWpOlx/3vW47uHrkBhOYN1S9xOaYDCIlpYWRKPRlF/c4XA4pV5PTw80TUsmXq2trcmy3t7U59k7u6rs9wGAruvJz43H4+jsNB/dum3bNui6Dl3XceTIEUQikSnHDgQCaGxsLPr8CnlvpnOz49M0DR0dHclWo02bNiW73oaGhgAA/f396O7uTnbHhUIh6LqOlpYWaJqGaDSKxsZG9Pb2QtM0xGKxlK7VeDyOWCyWMlYtHA4jkUhM61iapuX89yIAIlLVLwD1AGRsbExmkvuePiArOh/M+7rv6QOVDpWIKuihoYdk9Q9Wy5vvvJmx/Ng7x2T1D1bLQ0MPeRLP0NCQaJomAASAhEIhicViKXVaW1ulr68vuR0KhWRwcFBERCKRiITD4WRZX19fsm5ra2vKZw0NDUkoFEpux2Ix0TQtpY6macnPFhEJh8MSjUaT26OjowJgSoyZFPLeXOfW19cnwWBQYrGYDA4OJs9zcHBQNE1LOZZ9Lk6RSCQllqGhoZTzHB0dTXl/MBiccg7TOVauc6pmY2Nj9s9xveTJNThmyqeaFhQ2qLzQekRUnexlEfYb+zOW7x/dn1LPbZqmYWhoCLFYDOFwGCMjI2hpaUF/fz8AszWpv78/pWWjra0N0WgUhmGgs7MTXV1dybIdO3ZA13UkEgnE4/GU1i5N0zAyMpKcTdfY2Ahd16fUsbu7DMNAT09PSktXIBCYMsYrk0Lem+vc7PqJRAKhUAjBYHBKi5lTKBTCyMgIEolEyvGcx3LOItQ0bdqzCnMdK985kYndfD71nkXzsHj+7Lxjpt6zaJ6HURGR3wSbglg+fznufubulDFTADApk7jn2XuwfP5yBJvyJwzlFAqFkklNZ2cnNm/enOzuCgQCKb/4h4aGoOs6BgYGEAgEUpIGe9aZ3aWVzu7mso+VXicQCGBkZAQAkseejkLem+vcnPEWqr29HdFoFNFoFPF4HBs3bkyW2dfFHqM2MjKSPM/pyHasQs6JmEz51r27Xy1ozNS9u1/FX7ec7VFUROQ3s+pm4Za1t2DLz7fg5l034/rzrsfKhSuxf3Q/7nn2Hjx+4HHc/vHbPRt8Ho/Hp4yniUQi6OnpgWEYMAwDmqaltB7Z39utV9k+uxymM06q0PfmOjdbMclcR0cH1qxZg2g0OqXFLZFIoLu7Gy0tLdi4cWPeJC19UkChxyrknIhLI/jWNR86Ew9+8ULcetk5WDx/dkrZ4vmzcetl5+DBL16Iaz50ZoUiJCK/CK0I4faP3479xn5c9/B1+PCPP4zrHr4O+439uP3jt3u6ztTu3bsz7tc0LdktlqlVwzAMBIPBjEmTYRjJgdHpdF0veKZgtmOX6725zm06NE1DY2Mj+vv7UxI5wzCwYcMGdHV1ob29HYFAIHmMbDE6u/CKOVa5z6laMZnyqab6uVi9vAHtFzXjyVtD+LfNH8YdV1+Af9v8YTx5awjtFzVj9fIGLthJRADMhOqhzzyEv//w3wMA/v7Df4+HPvOQp4kUYHbHpY/dcbZWhUIhrF27dkor1M6dO5OzxJyrpRuGkVy7KhQKpXy2nSDkmlnm/KWvaRra29tTZgsahoFEIpE3OSjkvbnObbo6OjqwefPmlNYgXdeTyafN7uKzr4lzrJiu6wWNC8t0LDfOqRopkep+NIlSqh7A2NjYGOrr6ysdDhGRq/Yd2YdND27Cjk/t8PzZfHbio2nalJaQ9KUROjs70dzcnGwFcSZEnZ2dWLRoUXKAuXPQt/0+wBy7Yw/itru9+vv7EYlEEA6H0dPTg+7ubmiahq6uruQx7Gn+dpebvaRCJBLJ24VVyHsznVs8HkckEsHAwEAyFvs6pcedfk07OzunDPi2j9vS0gLATJ46OzuxadOm5HnadZqbm9He3j7tY2U7p2o3Pj6OhoYGAGgQkfFcdZlMERHNYG+89QbeePuN5LY+pqPriS50r++G1nByjMySUzM/EJmIMmMy5cBkioiq2T/t+Sfc9d935a134/k34vMXfN6DiIiqQzHJFGfzERHNYG1nt+HjZ3w8b70lp7JVisgtTKaIiGawJfPYfUdUaZzNR0RERFQCJlNEREREJfCkm08p1Q4gAMAA0AygW0QMR3nYKgOAgIj0pL0/ZzkRERFRpbieTFmJUK+dPCmlAgC2AWhzlENEeq3tkFIqKiIdhZQTERERVZLrSyMopWIi0pJtn1JqFMBZaS1VIiKqkPICjs+lEYiIiKgoxSyN4MWYKUMpFbNapKCU0gDoju8DzkTJZrVA5Sx3M2giIiKiQngxZmozgEEAo0qpHgBDji66bI+wNmCOscpXPoVSag6AOY5dC4qKloiIiKgIrrdMWa1KEQD9AMIA2uxWqhxGADROs7wLwJjjdaCIcImIiIiK4noypZSKANBFpA3mTL5GmC1VueRKpPKVdwNocLxOLzBUIiIioqK52s3nGPMUBwAR0QGsUUoNKqVaASSyvDUAc1yVnqd8ChE5AeCEI4ZpxU5ERERUCLdbpjScXB/KKQokkyvDSrpSiEg8X3mZYyUiIiIqmqvJlJXwBDOMkVojIv3W990AkjPzrBarXkfdfOVEREREFePFOlMBmIPCj+DkLLxemboCut1tt05EOtM+I2d5nuNznSkiIiIqSjHrTLmeTFUakykiIiIqlt8W7SQiIiKqWkymiIiIiErAZIqIiIioBEymiIiIiErAZIqIiIioBEymiIiIiErAZIqIiIioBK4+m4+qx8Sk4KkXRzB89DiaFszFB89qxKw6PveQiIiIyRRlNTx+HMNHT+CXvz2M3id0HD72TrJs8fzZaF+v4aPvXYymBXPQVD+3gpESERFVDpMpyupHT76COx7bn7Hs8LF38M2HnwcA3LxhJf665WwvQyMiIvINjpmirK5edwYWz5+ds87i+bNx9bozPIqIiIjIf5hMUVYvHXkrpWsvk8PH3sFLR97yKCIiIiL/YTJFWQ0fPV7WekRERNWIyRRl1bSgsEHlhdYjIiKqRkymKKv3LJpX0Jip9yya51FERERE/sNkirK6d/erBY2Zunf3qx5FRERE5D9cGoGyuuZDZ6Jl1WkFrTNFRERUq5SIVDoGVyml6gGMjY2Nob6+vtLhzFhcAZ2IiGrJ+Pg4GhoaAKBBRMZz1WXLFBVkVp3CR5oXVToMIiIi3+GYKSIiIqISMJkiIiIiKgGTKSIiIqISMJkiIiIiKgGTKSIiIqISMJkiIiIiKoFnSyMopSIAhqzNERHpd5SFARjWZkBEetLem7OciIiIqFJcT6aUUgEAjwHYICKGUioIYBCAssrDACAivdZ2SCkVFZGOQsqJiIiIKsn1FdCVUlEAQ87WJKVUSETi1vejAM4SEcNRLiKiCikv4PhcAZ2IiIiKUswK6F6MmWoH0K+U0pRSIQBwJFIazG47I/1NVgtUzvJMB1NKzVFK1dsvAAvKdypEREREqVxNpqxkCACCAAIAdKVU1JEIaRnfaI6PChRQnkkXgDHH60ARIRMREREVxe2WKTsZMkQkISI6gE4AfXneNwKgcZrl3QAaHK/TCw+XiIiIqDhezeYbsL+xBqEHsnXTWXIlUjnLReQEgBP2tlIFDa0iIiIimha3W6b0LPsNmK1W2coDVlm+ciIiIqKKcjWZsrr1dEwd+xQAMGCVG46xVc73xvOVuxAyERERUVG8mM3XCWCTvaGUagUQF5GEtasbQCitvNfx/nzlVCMmJgW/GjqC/9hzEL8aOoKJSXeX9SAiIiqE6+tMAYBSqh0nZ98tEpHOtPIwTnbbrSu2PM+xuc5UFXhk7yF87YF9ODR2PLlvWcNc3HblKly6elkFIyMiompUzDpTniRTlcRkamYbHj+O+54+iG8+/HzWOrdedg6u+uPlaKqf62FkRERUzfy2aCfRtP3w1y/nTKQA4JsPP48f/vpljyIiIiJKxWSKfG3VssJaEwutR0REVG5MpsjX3pmYLGs9IiKicmMyRb7WtKCwcVCF1iMiIio3JlPka+9ZNA+L58/OWWfx/Nl4z6J5HkVERESUiskU+dq9u1/F4WPv5Kxz+Ng7uHf3qx5FRERElMqrZ/MRTcs1HzoTLatOwy9/exi9T+gpidXi+bPRvl7DR9+7GE0L5lQwSiIiqmVcZ4pmjIlJwVMvjmD46HE0LZiLD57ViFl1fJA1ERGVXzHrTLFlimaMWXUKH2leVOkwiIiIUnDMFBEREVEJmEwRERERlYDJFBEREVEJmEwRERERlYDJFBEREVEJmEwRERERlYDJFBEREVEJmEwRERERlYDJFBEREVEJuAI6URH4SBsiIkrHZIqoQI/sPYSvPbAPh8aOJ/cta5iL265chUtXL6tgZEREVEns5iPKY3j8OHofH8L/2p5ISaQA4NDYcfyv7Qn0Pj6E4fHjWT6BiIiqGZMpojx++OuX8c2Hn89Z55sPP48f/vpljyIiIiI/YTJFlMeqZfVlrUdERNWFyRRRHu9MTJa1HhERVRfPB6ArpWIi0pK2LwzAsDYDItJTTDmRm2bPKuxvjkLrERFRdfH07q+UagUQStsXBgAR6RWRXgAJpVS00HIit+07NF7WekREVF2UiHhzIKUCADYCiIqIcuwfBXCWiBiOfWLXyVdewHHrAYyNjY2hvp5jWqh4w+PHcd/TB3MOQr/1snNw1R8vR1P9XA8jIyIit4yPj6OhoQEAGkQk51/LXrZMbQSw07lDKaXB7LYz0isrpUL5yjMdRCk1RylVb78ALChH8FS7murnov2iZvzztUEsa0hNlpY1zMU/XxtE+0XNTKSIiGqUJ2OmrMQnnqFIy/IWA0CggPJMugDcVnBwRAW6dPUytKxayhXQiYgohVcD0AMioltdfYUYAdCIk4POs5Vn0g3gdsf2AgAHCjwuUU6z6hQ+0ryo0mEQEZGPuJ5MKaXarYHjxciWKOUtF5ETAE44jl/koYmIiIgK5+qYKaVUEMBAjip6lv0BqyxfOREREVFFud0y1Qgg6Bgs3gwklzvQRaRfKWUopTQRSUmORCRu1c1ZTkRERFRJni2NACRbqgbTlkYIAzDsrkBrLaoWEekopLyAY3JpBCIiIipKMUsjeLYCupUEbbK+jwCIiUhcRHqUUmGrHADWOROlfOVEtWZiUjijkIjIRzxtmaoEtkxRNXlk7yF87YF9ODR2PLlvWcNc3HblKly6elkFIyMiqi5+XbSTiErwyN5DuHF7IiWRAoDXxo7jxu0JPLL3UIUiIyKqbUymiGaAQ8bb+Nv79iJTO7JYr7+9by8OGW97HBkRETGZIpoBtj76Pzh87J2cdQ4fewdbH/0fjyIiIiIbkymiGeCCMwJlrUdEROXDZIpoBlg8f05Z6xERUfkwmSKaAfYdyjmRpOh6RERUPkymiGaA6z68Ardedk7OOrdedg6u+/AKjyIiIiKbZ4t2EtH0NdXPRftFzThz0TyuM0VE5DNctJNohuEK6ERE7vPl42SIqDxm1Sl8pHlRpcMgIiILx0wRERERlYAtU0RUNHY1EhGdxGSKiIrChy0TEaViNx8RFYwPWyYimorJFBEVhA9bJiLKjMkUERWED1smIsqMyRQRFaR5yfyy1iMiqhZMpoioIENvHCtrPSKiasFkiogKcssl78Pi+bNz1lk8fzZuueR9HkVEROQPTKaIqCDLAqfiG1ethgKQvqKUve8bV63GssCp3gdHRFRBTKaIqGCXrl6Gu64NYmnD3JT9Sxvm4q5rg1xniohqEh90nMfE5AQSwwm88dYbWDJvCYJNQcyqm1X+QIlmED+sgO6HGIioevFBx2USfzmOrQNbcfDYweS+5fOX45a1tyC0IlTByIgqq9IPW+Yq7ETkJ+zmyyL+chxbfr4FKwMrsf3y7Xjys09i++XbsTKwElt+vgXxl+OVDpGoJnEVdiLyG0+6+ZRSYevbZgAQkY4M5Ya1GRCRnmLK8xy76G6+1958Ddf89Bqc23gu7rz4TtSpkznnpEziS7u+hOdHnsf2y7dj6buWFhoKEZXokPE2rvzuf+VcPHTx/Nl44KYLORCeiEpSTDef6y1TSqmIiPRYrw5rX8xRHgYAEekVkV4ACaVUtNByN3zn6e9g+K1hbP7A5pRECgDqVB1uOO8GvP7W6/jO099xMwwiSsNV2InIj1xNppRSAQBB66stCiCklNKs7S4AvXahiMQBtDvq5ysvu7PqzwIArAyszFi+cuHKlHpE5A2uwk5EfuTFmKm1ADTHtm59DVgJVUBEjPQ3KaVC+cpdiBUA8OL4iwCA/cb+jOX7R/en1CMib3AVdiLyI1eTKRExRGShiCQcu+0kSEdqkuVkAAgUUD6FUmqOUqrefgFYUGTY+OIffxFN85qw7ZltmJTJlLJJmcTdz96N0+adhi/+8ReL/WgiKgFXYSciP6rEbL4uAB2ZWpscRgA0TrO8C8CY43Wg2ACXvmspuj7YhV8c+AVu3nUz9gzvwZu/fxN7hvfg5l034xcHfoGvfPArHHxO5DG/rcI+MSn41dAR/Meeg/jV0BFMTFb3un1ElJmni3YqpSIAjtiz8ayuupiIqLR6owA6YbZeZS23BqSnH2MOgDmOXQsAHJjOop1cZ4rIn/ywzpQfYiAi9xQzm8+zZEop1Qqg0ZkAWWOihjIkSwKgBWYylbXcGoye77hcAZ2oClVyBXR7rav0u6d9dD5ah2jm810yZbVABUSk39oOwEysdKuVaY2I6I76YidQ+coLOHZJyRQRkRPXuiKqDX5bZyoIIAhzfSjNao1qhznuCQC6cXJQut2C5ey+y1dOROQZrnVFROlcfTaf1QL1GMyZdxFnmT1uSkR6lFJhK0kCgHXOFdLzlRMReYlrXRFROleTKWvG3sIC6jkfD9NfbDkRkVf8ttZVJceOEZHJ1WSKiKja3HLJ+/D4C2/kHTPlxVpXnFFI5A+VWGeKiGjG8staV/aMQmciBQCvjR3HjdsTeGTvIVePT0QnMZkiIirSpauX4a5rg1jaMDdl/9KGuZ4si3DIeBt/e9/eKUszAIBYr7+9by8OGW+7GgcRmdjNR0Q0DZeuXoaWVUsrMl6pmBmF3954gevxENU6JlNERNM0q07hI82LPD+u32YUchA81TomU0REM4yfZhRyEDwRx0zNCBOTE9j92m78VP8pdr+2GxOTE5UOiYgq6JZL3ofF82fnrOPFjEIOgicysWXK5/iwZSJKZ88ovHF7AgBSBqLbnWtuzyjMNwgeMAfBn396gI/VoarHlikfi78cx5afb8HKwEpsv3w7nvzsk9h++XasDKzElp9vQfzlvM95JqIqVekZhX57rM7EpOBXQ0fwH3sO4ldDRzAx6f5zZ4lsbJnyqdfefA3dT3XjY6d/DHdcfAfqlJn3nr/kfNxx8R340q4v4VtPfQurF6/G0nctrXC0RFQJlZxR6KdB8By3RZXGlimf+sfd/4jht4ax+QObk4mUrU7V4YbzbsDrb72Of9z9jxWKkIj8wJ5R+CcXLMdHmhd5NovOL4PgOW6L/IDJlE+9/Qdzsb2VgZUZy1cuXJlSj4jIS34YBO+3xUvZ1Vi7mEz51Gfe+xkAwH5jf8by/aP7U+oREXnJD4/V8dO4rUf2HsKFkV34s22/xs337sGfbfs1LozsYstYjWAy5VMXn3kxls9fjrufuRuTMplSNimTuOfZe7B8/nJcfObFFYqQiGpdpQfB+2XcFrsaiQPQfWpW3SzcsvYWbPn5Fty862Zcf971WLlwJfaP7sc9z96Dxw88jts/fjtm1c3yJJ6JyQkkhhN44603sGTeEgSbgp4dm4j8q5KD4P0wbmtiUvC1B/Zl7WpUAL72wD60rFrqyTXhavSVoUSqu09XKVUPYGxsbAz19fWVDqdoflhnyg8xEBGlO2S8jSu/+185u/oWz5+NB2660LXuxoefPYQbf5TIW++ua4K47Dx3W+o4q7G8xsfH0dDQAAANIjKeqy6TqRmgkq1C9lpXF51+EW74wA1YGViJ/cZ+3P3M3cnWMSZURFQpdhcbkHnxUre7G//i+0/hP//njbz1PvG+Jfj+X3zQtTjs65D+G92r6+BULa1jxSRT7OabAWbVzcK6pes8Py7XuiIiv7PHbaW3yCz1qEXm1D8q7A/bQutNh59Wo/dL65jXCR1bpiirL//8y3j05Uex/fLtOH/J+VPK9wzvwXUPX4dLVlyCb3/8267Hw3FbRJRNpVpD/NDV+Pntg/jp3tfy1rt89VL807VrXIkB8E/rWLkSOrZMUVn4aa0rv4zbYkJH5E/24qVe88NzEt/+/URZ602HX1rHsiV09sxKtxI6Lo1AWfllrSu/PKMw/nIcV/zkCvzlz/4SnU904i9/9pe44idXeP6MxInJCex+bTd+qv8Uu1/bjYlJ926QRJRfpZeI2Lj2jLLWm46vP7ivoDW/vv7gPtdiyDezEjBnVrqxmCpbpigr51pXzjFTgHdrXfll3JZzIH7kY5GUgfhbfr7Fs4H4bKEj8qdKLhFxyfuXYlnDXLw2djxjIqFgJnaXvN+9e6QfWsce/c1rU9b6chIAh8aO49HfvFb2mZVsmaKs7LWuHj/wOG7edTP2DO/Bm79/E3uG9+DmXTfj8QOP45a1t7j6S9QPzyicmJzA1oGtuOj0i3DHxXfg/CXnY94fzUsmdBedfhG2Dmx1vYWILXSp/NBC54cYyD8q9ZzEWXUKt125CkDm1egB4LYrV7kajx9ax3YOvFrWesVgyxTlFFoRwu0fvx1bB7biuoevS+5fPn+5J60xfhi3teuVXTh47CAiH4tkTOiuP+96XPfwddj1yi60vKfFlRjSE7r0Frqbd92MrQNb8YkzPuFqcssWOn/FAPijlZAxVD4Gu6vxfz+wF2/8/jmoU45C/rAAS/7oXPzvK1e73tXoh9axSs6snBHJlFIqDMCwNgMi0lPBcGpOaEUInzjjExW5SXzmvZ/BEwefwH5jf8YZhV6M2/rJb38CIH9C95Pf/sS1ZIoJ3Ul+SOj8EIMdR6UTOsbgnxhOWfAbNKzcijff/F1yX8O73o1TFvwNAHeTKbt17MbtCShMom7ei8mEbvKtswDUud469nefWoWnXhqxxm5NYpYjhgkrhsXzZ+PvPrWq7Mf2fTeflUhBRHpFpBdAQikVrXBYNcde6+py7XKsW7rOs7+2/PCMwlNPMWee5BuIb9dzQzEJnVvu238fDh47iBs+cEPWhO7gsYO4b/99rsXghy5XP8QA+KPblzH4L4azF56dEsPZC8/2LIZLVy/D5694C4H3fRvzVmzDqcvvxbwV2xB437fx+Svecr11zJ5ZecqCvWhYuTUlhoaVW3HKgr3uzawUEV+/AIzCbI1y7pMi3l8PQMbGxoRmpthLMTnvB+fJTfGb5OnXn5Zj7xyTp19/Wm6K3yTn/eA8ib0Uc/X4h44dkot3XixfiH9BJiYnUsomJifkC/EvyIadG+TQsUOuxbDlP7fI6h+slj3DezKWP/3607L6B6tly39ucS2GK//9Sln9g9Xy5jtvZiw/9s4xWf2D1XLlv1/pWgz9z/cXdB36n++v6hj+MPEH+WT/J+Wm+E0ZfyZvit8kn+z/pPxh4g+MgTF4EoPIyXv1F+JfkD3De+TNd96UPcN75AvxL3hyr06N4fOpMcQ+X3QMY2NjAnPcer3kyTV83TKllNJgJlJGhjI+w6RG2OO29hv7cd3D1+HDP/4wrnv4Ouw39nvSnbL0XUvR9cEu/OLALzIOxP/FgV/gKx/8iquzCf9m3d+gaV4Ttj2zLWML3d3P3o3T5p2Gv1n3N67F8Oer/hxA/hY6u54b/mXfvwDI30Jn16vWGPzQSsgY/BODPQwgXwy7XtnlWgzOmdd3XnxnSovtnRffiY+d/jF866lv4bU38y8uOl0TkxPY+quv46LT1+POi7+TGsOG7+Ci5eux9Vdfd6XV2NfJFAAty34DQCBTgVJqjlKq3n4BWOBSbOSh0IoQHvrMQ/jeJ7+HyPoIvvfJ7+Ghzzzk2VgEJnTAVSuvKqjL9aqVV7kWgx8SOj/E4IeEjjH4JwY/DAPww8zr+174vzh4YgQ3fKA9c1L5gc04eGIE973wf8t+bL8nU9mMAGjMUtYFYMzxOuBVUOSuSo3bstV6QueHpTL8kND5IQY/JHSMwT8xzJs1p6AY7HpuePv3bwIoYOa1Vc8NsafuKCgGu145zdRkKlsiBQDdABocr9M9iYhqAhM6JnR+iMEPCd1VK6/C8jmNuPu/ezPH8Mw2LJ/TWP0xNF+J5TILdz+TJYZnt2G5zMJVzVe6FkPXnLOwfAK4O8swgHuevRvLJ8x6bmmrM38t50vo7Hpu+PSbxwqKwa5XTr5+0LE1ZmpIRFTafgHQIiJ5pyfwQcdE5VfpNX38MA09/nIcW3f/Iw46pqF7GUNyeYbl63H9BzZj5cKV2D+6H/c8sw2PH3zC/eR2cgLxuy7AlvnARadfhOvPu+FkDM/ejccPPI7bjwGhG/cAbv1sjB1E/F9D2FJ/SvYYxicQ+lwMaFjuTgyD/4L4Y53YclqTFcP1jhjuMWN4fRihDRFgjUutU99dh/hbr+aPYd4ZwE27XQlh4rtrccW8E1i54iLccfGdU56YcfOuL2H/y4/jobfmYNZNA+7EMPB9XPHM7flj+MAWzFr7F3k/r5gHHfs6mQIApdQogDUiojv2SXqCleP9TKaIqlClEzrsux8Tj34VieOv441Zs7BkYgLBuadh1iX/AKz6tCfHjz/Yga3LTsfByZOP0FheNxe3HDqA0Kei7sax7z+AnZ9D/MoItr5039TE9j1/gtADXwE2/iuw6k/ciWHnnwP77ssfw6qrgI0ujVn67jrg8AuIX/sjbP3v706N4fwvILT9WmDx2a4lMhj8F+CBL+W/Dlfe6V5C54eksswJfrUlU2EAhphrTEEp1QqzVaqjwPczmSKqRpMTwMu/BI69Dsw/DVjxUfdaQNLtux/Y+Tng7EuB9V8Gms4Fhp8Dnvg28MIjVgLhYiIzdhC4ewOw7HxMbNyOxOE9J5PKxRdg1s5rgUPPADfE3WuR+VEbsP9RoOsgJv7o1KmJ7e/fArpPB1ZeAlzT504M29uA3xYQw3svAa51KQYrkcH1cUwsD06N4eAgcE+Lu4nM5ARw5wVA0/sxsfGHGX4ergOG9wFfetq9/yNWDPHFZ2Dr3ImpLbZv1yF0+IC7MQBl/SOjqpIpIJlQ2S1T60Sks4j3Mpkiqjb77gce/SpgvHJyX+BMwItWIccvLlz9Y6DOMfR0chK497Pu/+KyWmRwfRw4Y93U8lefMn+Bu9kis+PPgecKiOHcq4BNLsVgtY7ljcHN1jE//DwAaQn+FkeCf7s3Cb4jhomVn0TivCvwxtx3YcnxNxF89iHM2v8zb2Kw4ihHq3HVJVOlYDJF5IJabhVytETk/AXuZkuEo0UGc+ZPLT9x1P0WGUfrGK7+twxJxJ+53zrGRGZqHFP+yFgBXPINb47vlxiAstyjmEw5MJkiKrNabxWyxsjkTWTcHCPjhxYZwB9JhB9isOOokiSiKmIoAyZTDkymiMqIrUL+iMEPSaXND0mEH2IAqiaJIBOTKQcmU1R1KnXD9sMvcD+0CvnhOgD+aZEB/JFE+CEGqirFJFOneBMSEZVFJbvYnt5uHvdPv5eaQADm9votZovM09vda5H5yE1mq9Dwc5lbhYafO1nPLXWzzOu983Nm4pQtkXH7F/mqT5vHefSr5nW3BVZ4m0gB5rmetd674/k1BqpZbJkimikq3cXGVqFU7Foiqmrs5nNgMkVVwQ9JhB/GCgHs3iIiTzCZcmAyRWVVqV+efpi95YeEzuaXViEiqlocM0XkhkqPVwLMVphM7P1Pb3cvmfLLWCHAvN7nXMFWISLyBSZTRIVwdi396fdSxyvt/Jz7XUunzDO/5ht4bddzCwc9ExFNwW4+onz80L3lh9WmnThWiIiqXDHdfHW5CokIwPMPml1767+cfUkA42WznlsalgOX9QAv/MxM3l59ypw99+pT5vYLPwMui3iTSAEnW4XOazW/MpEiohrGbj6ifPwwXgnwVxcbERElMZmimaNSXUt+Ga8EcOA1EZEPMZmimaGSM+ku/SZw4Engia2Zxys98W1gwbvNel7gwGsiIl/hmCnyP3smXdP7zXWWug6aX5veb+7fd7+7x/fbeCUiIvIVzuYjf/PTLDYuFElEVDO4aCdVj11fB44eAjb+MMtMui+bg7F3fR34zD+7GwvHKxERUQZMpsjfFp9tfs03k86u5zaOVyIiojQcM0X+dvgF86s9Yy6dvd+uR0RE5DEmU+RvF/8dsGCZOZNucjK1zDmT7uK/q0x8RERU85hMUWEmJ4AXnwCe7Te/Tk54c1zOpCMiIp/jbD7Kr5JrPOWMgTPpiIjIHcXM5mMyRbnZazydfak5c67pXHOc0hPfBl54xNvHmPDhukRE5BEmUw5MpkrgpzWeiIiIPFRMMsUxU5SdvcbT+luyr/F09HdmPSIiohrl+jpTSqmw9W0zAIhIR4Zyw9oMiEhPMeXkIr+t8URERORDrrZMKaUiItJjvTqsfTFHeRgARKRXRHoBJJRS0ULLyWVc44mIiCgv18ZMKaUCAPoAtImIYe0LAhgE0CwiulJqFMBZdrlVR0REWd/nLC8wDo6Zmi6OmSIiohrlpzFTawFojm3d+hpQSmkwu+2M9DcppUL5yrMdUCk1RylVb78ALCjlBGoa13giIiLKy7UxU1YStDBtt50E6TATrUwMAAGkJmGZyrPpAnBb/gipIKs+bS5/8OhXzQcK2wIrvF0WgYiIyKe8ftBxF4AOETGUytpTNwKgEScHnWcrz6YbwO2O7QUADhQXJqVY9WngnCu4xhMREVEGBSdTSqlWAJsKqNotIokM748A2GENJM8lV6KUt1xETgA44Thuno+jgtTNAs5aX+koiIiIfKfgZEpE+gH0T+cgViI2lJZI6VmqB6yyfOVEREREFef6op32YHE7kVJKBZRSmojoAAxroHkKEYnnK3c7biIiIqJCuL3OVBBAEOb6UJqVGLXDHPcEmOObQo76rQCcrVf5ymvD5ATw4hPAs/3m18mJSkdEREREFrfXmXoRGWbeOdeJshbmtLvt1olIZ9rn5CwvII6Zvc7UvvvNmXTGKyf3Bc4ELvkHzqQjIiJyCR907DCjk6l99wM7Pwecfan5HLymc81Vx5/4NvDCI1yagIiIyCVMphxmbDLF1ceJiIgqxk8roNN07fo6cPQQsP6W1EQKMLfXfxk4+juzHhEREVUMkym/Wny2+bXp3Mzl9n67HhEREVUEkym/OvyC+XX4uczl9n67HhEREVUEkym/uvjvgAXLgCe2mmOknCYnzUHoC95t1iMiIqKKYTLlVw3Lgct6gBd+Btz7WeDVp4ATR82v937W3H9ZhIPPiYiIKoyz+fwu4zpTK4BLvsFlEYiIiFxSzGy+gp/NRxWy6tPAOVcAL/8SOPY6MP80YMVHzQcPExERUcUxmZoJ6mYBZ62vdBRERESUAcdMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZXgFC8PppSKiUhL2r4wAMPaDIhITzHlRERERJXkWcuUUqoVQChtXxgARKRXRHoBJJRS0ULLiYiIiCpNiYj7B1EqAGAjgKiIKMf+UQBniYjh2Cd2nXzlBR67HsDY2NgY6uvriw9+cgJ4+ZfAsdeB+acBKz4K1M0q/nOIiIhoxhgfH0dDQwMANIjIeK66XnXzbQSwE4Cz1UmD2W1npFdWSoUA6LnKRSSe6UBKqTkA5jh2LZh21PvuBx79KmC8cnJf4Ezgkn8AVn162h9LRERE1cP1bj4rMcqU+GhZ3mIACBRQnk0XgDHH60D+KDPYdz+w83NA0/uB6+NA10Hza9P7zf377p/WxxIREVF18WLMVEBE9CLqjwBoLKG8G0CD43V6Ecc2jR0EHg4DZ38SuPrHwBnrgDnzza9X/9jc/3CnWY+IiIhqWsHdfNYA8k0FVO0WkYT1nnZr4HgxciVKectF5ASAE/a2UgUPrzpp19eBo4eAjT8E6tLyzbo6YP2XgXtazHqf+efiP5+IiIiqRsHJlIj0A+gvtL5SKghgIEeVbK1VAassX7l7Fp9tfm06N3O5vd+uR0RERDXLzQHojQCC1pgpAGgGkssd6CLSr5QylFJaejegPbg8X7lrDr9gfh1+zuzaSzf8XGo9IiIiqlmeLI0AJFuqBtOWRggDMOyuQKsrsUVEOgopL/C4xS+NMHYQuHsDsOx84Op/S+3qm5wE7v0z4NAzwA1xoGF5oaEQERHRDFHM0gieLNppJUFd1vcRu7XKWs08oJRqteqscyZK+cpd07AcuKwHeOFnwL2fBV59Cjhx1Px672fN/ZdFmEgRERGRdy1TlVLSop0Z15laAVzyDa4zRUREVMX8uGjnzLTq08A5V3AFdCIiIsqKyVQ+dbOAs9ZXOgoiIiLyKc8edExERERUjZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWgZhbtHB/PuRI8ERERUVIxeUMtPJtvOYADlY6DiIiIZqTTReRgrgq1kEwpAO8GcLTSsZRoAcyk8HTM/HMpBa+DidfBxOtg4nUw8TqYeB1M5bgOCwD8TvIkS1XfzWddgJwZ5Uxg5oQAgKP5nl5dzXgdTLwOJl4HE6+DidfBxOtgKtN1KOh9HIBOREREVAImU0REREQlYDI1c5wA8DXray3jdTDxOph4HUy8DiZeBxOvg8mz61D1A9CJiIiI3MSWKSIiIqISMJkiIiIiKgGTKSIiIqISMJkiIiIiKkHVL9pZDZRSEQBD1uaIiPRXMp5KUEq1AwgAMAA0A+gWEaOCIblOKRUAsBFAm4i0ZCgPw7weABAQkR7vovNOgdcBMH8uICId3kXnnXzXIa1uLF+dmaqQ61AL98wC/l/UzD0z3z3Ai3slkykfs/6zPAZgg4gYSqkggEEAKucbq4z1H6HXvhFY12UbgLYKhuUq6996LcybYWOG8jAAiEivtR1SSkWrLZEo4DpERKTTsR2txkQi33VIq9sKIORBWJ4r4OchgBq4ZxZ4f6iJe2a+e4BX90p28/lbBMAO+z+EiCQAVNUviQK1OP+isr4PVCoYL4hIwvrPr2ep0gWg11E/DqDdi9i8lOs6WL8ggtZXWxRASCmleROhNwr4eQCQvCY5k62ZrIDrUBP3zAKuQ03cMwu8B3hyr2Qy5W/tAPqVUppSKgQkfxBqjaGUitn/Yaz/JDl/qVQz6/wDmZrs7Z+TGrIWgDNxsn8uAt6H4gsbAeysdBAVxHumqZbumVnvAV7eK5lM+ZQjqw7C/MWgW82XtfbLEgA2w/zPMmqNhQhVW3dWkbK1uhiooSRCRAwRWWi1Ptjs/x/V+osjK+veUIuJAwDeM9PUxD2zgHuAZ/dKJlP+Zf8QGFaTrg6gE0BfBWOqCOuvigiAfgBhAG1pzbpkGkEVd/EUqAtAR7UOtM0jYN0nahXvmZYav2cWcg8o+72SyZT/Ddjf2P3etfaXlvWXlS4ibTBnazTCHFRKqWo6kbJ+TnbYA01riVKqvRpnrE0T75k1es8s4h5Q9nslkyn/yvYXpoHsTZdVx9HnHQcAEdFFZA3MMQGtlY2uYrL9bARylFU162dhqFqXh8jFmtk1kLdi9eM9E7V7z8xyD/DsXsmlEXxKRHSllN3n6+wPDqC2bpwaTq4P4hT1OA7fsH42DKWUlt6tU4uDbR0Dje2pzwEAjTXU5dUIc0aT3frSDCSnhOu10mLFe2ZSzd0zc90DvLpXsmXK3zoBbLI3rMw7njbYrqpZP/DpU18BYE2N/JLI1hzdDcdaQtbPRjV3b2W8DlarTBBAwprBpcGc0TXiZXAemnIdRCQuIj32C9YvTWu7Wv+PZPt/UWv3zIw/D6ihe2YB9wBP7pVKRMr9mVRGjlVsAWCRc3GyWmHdFLoAHMHJWRjJBemqkXVDaIX5iyEIoAfAbufN0G55sDbXVePPRq7rYP1cvIgMs3JEpNoWacz782DVs+u0WnVi1dRaWeD/i6q/Z+a7DrVyzyz0HuDFvZLJFBEREVEJ2M1HREREVAImU0REREQlYDJFREREVAImU0REREQlYDJFREREVAImU0REREQlYDJFREREVAImU0REGSilAhlWkSYimoLJFBFRZl2ooQfkEtH0MZkiIsosWMXPdCOiMmIyRUSUxnoKfazScRDRzMBkiohoqjYA/XlrERGByRQRUSaaiOj5qxERAadUOgAioulSSgUBrAXQDGA3gDiAdqvYEJHeaXxmK4C+HGXrAAwB0K3XiIgYRQdPRFWDLVNENCNZyxaERKRXRDoBbAPQJSI9VpXOaX70JgA7MxyvHUCLiHRaSVoAZlK1dprHIaIqwZYpIpqp2h2Jk23I+poA0DHNzw2ktzQppTQAEQBnOXYbACAi8Wkeh4iqBJMpIpqpkgPErWQnAKtFKT3BscpbYXbLrQMQzTQmymp9imY4VhRAPC3JaoGZtBFRjWMyRUQzUloyFAKg5xi71CciawBAKRUH8BiANRnqtYlIS4b9IZgz/JyCMMdoEVGN45gpIqoGLUhbysB+FIw1SD3JSrgCVmtVen0j/YMd9dJbobgWFREBYDJFRDOU1SVna4U5my9Z5milyjZAPJi2na2LD0BqS5i1qCdEJK6UCqYnbERUW5hMEdGMYyVSEev7Vji62zI8nDgAYCRtnwGgMW1fS6bB5FYSpdsJk/X5HTDHXwHmjEKOnSKqYRwzRUQzURxAr5VUDcBMbjqVUgDQmLa+lIGpiVMAjgTL6srLtUhnG4AOpdQgAIhIm1Kqzzo+EymiGqdEpNIxEBG5xmpR2mYPQLf2jQJYY3fdKaUiAHawhYmIpoPdfERU1awEKWBvW910etpswCATKSKaLnbzEVEtaLNan3bDXGcqucyB1XLFRIqIpo3dfERU05RSUQARPtiYiKaL3XxEVOsamUgRUSnYMkVERERUArZMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCZhMEREREZWAyRQRERFRCf5/hF2WKsXkIi8AAAAASUVORK5CYII=", "text/plain": [ "
" ] @@ -376,6 +377,303 @@ "symmetrised_correlator.show([5, 20], comp=[first_derivative, second_derivative], y_range=[-500, 1300])" ] }, + { + "cell_type": "markdown", + "id": "18c75d20", + "metadata": {}, + "source": [ + "## Missing Values \n", + "\n", + "Apart from the build-in functions, there is another reason, why one should use a **Corr** instead of a list of **Obs**. \n", + "Missing values are handled for you. \n", + "We will create a second correlator with missing values. " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "1db86a4c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Corr T=96 N=1\n", + "x0/a\tCorr(x0/a)\n", + "------------------\n", + "0\t 62865(41)\n", + "1\t 23756(32)\n", + "2\t 6434(25)\n", + "3\t 2886(20)\n", + "4\t 1735(21)\n", + "5\t 1213(21)\n", + "6\n", + "7\t 699(17)\n", + "8\n", + "9\n", + "10\t 343.1(8.6)\n", + "11\t 273.2(6.6)\n", + "12\n", + "13\t 172.9(4.9)\n", + "14\n", + "15\n", + "16\t 88.0(3.9)\n", + "17\t 70.6(3.2)\n", + "18\t 56.6(2.6)\n", + "19\t 45.3(2.1)\n", + "20\n", + "21\t 29.2(1.4)\n", + "22\t 23.4(1.2)\n", + "23\t 18.90(99)\n", + "24\t 15.26(74)\n", + "25\t 12.26(54)\n", + "26\t 9.82(40)\n", + "27\t 7.84(32)\n", + "28\t 6.21(24)\n", + "29\t 4.93(18)\n", + "30\t 3.93(13)\n", + "31\t 3.142(92)\n", + "32\t 2.519(66)\n", + "33\t 2.013(49)\n", + "34\t 1.609(41)\n", + "35\t 1.287(35)\n", + "36\t 1.024(28)\n", + "37\t 0.820(23)\n", + "38\t 0.661(20)\n", + "39\t 0.532(16)\n", + "40\t 0.429(14)\n", + "41\t 0.348(11)\n", + "42\t 0.2858(85)\n", + "43\t 0.2357(80)\n", + "44\t 0.1985(87)\n", + "45\t 0.1722(90)\n", + "46\t 0.1558(90)\n", + "47\t 0.1473(94)\n", + "48\t 0.1453(98)\n", + "49\t 0.150(10)\n", + "50\t 0.161(10)\n", + "51\t 0.179(11)\n", + "52\t 0.205(13)\n", + "53\t 0.240(17)\n", + "54\t 0.288(21)\n", + "55\t 0.349(27)\n", + "56\t 0.427(35)\n", + "57\t 0.524(42)\n", + "58\t 0.648(50)\n", + "59\t 0.804(63)\n", + "60\t 0.997(77)\n", + "61\t 1.239(91)\n", + "62\t 1.55(11)\n", + "63\t 1.96(14)\n", + "64\t 2.46(16)\n", + "65\t 3.08(19)\n", + "66\t 3.83(22)\n", + "67\t 4.76(26)\n", + "68\t 5.96(31)\n", + "69\t 7.47(37)\n", + "70\t 9.36(49)\n", + "71\t 11.75(62)\n", + "72\t 14.75(75)\n", + "73\t 18.53(87)\n", + "74\t 23.2(1.0)\n", + "75\t 29.1(1.2)\n", + "76\t 36.4(1.5)\n", + "77\t 45.5(1.9)\n", + "78\t 57.0(2.5)\n", + "79\t 70.9(3.3)\n", + "80\t 88.4(4.4)\n", + "81\t 110.7(5.9)\n", + "82\t 138.2(7.3)\n", + "83\t 171.4(8.4)\n", + "84\t 213(10)\n", + "85\t 266(13)\n", + "86\t 336(15)\n", + "87\t 425(17)\n", + "88\t 540(19)\n", + "89\t 688(20)\n", + "90\t 892(22)\n", + "91\t 1196(28)\n", + "92\t 1716(33)\n", + "93\t 2859(32)\n", + "94\t 6411(36)\n", + "95\t 23726(44)" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "new_content=[(my_correlator.content[i] if i not in [6,8,9,12,14,15,20] else None ) for i in range(my_correlator.T) ] # We reuse the old example and replace a few values with None\n", + "correlator_incomplete=pe.Corr(new_content)\n", + "\n", + "correlator_incomplete\n" + ] + }, + { + "cell_type": "markdown", + "id": "602d81fa", + "metadata": {}, + "source": [ + "We see that this is still a valid correlator. It is just missing some values. \n", + "When we perform operations, which generate new correlators, the missing values are handled automatically.\n", + "\n", + "Here is an example:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "034d1fdf", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Corr T=96 N=1\n", + "x0/a\tCorr(x0/a)\n", + "------------------\n", + "0\t-0(115)\n", + "1\t-1(58)\n", + "2\t 1.0(2.7)\n", + "3\t 1(33)\n", + "4\t-0(57)\n", + "5\t 0(56)\n", + "6\n", + "7\t-1(27)\n", + "8\n", + "9\n", + "10\t-1(11)\n", + "11\t 0(19)\n", + "12\n", + "13\t-0(13)\n", + "14\n", + "15\n", + "16\t 0(12)\n", + "17\t-0.9(3.7)\n", + "18\t 0.1(7.8)\n", + "19\t-0.8(4.1)\n", + "20\n", + "21\t-0.4(3.9)\n", + "22\t 0.9(1.8)\n", + "23\t 0.2(2.9)\n", + "24\t 0.97(50)\n", + "25\t-0.80(97)\n", + "26\t-0.93(45)\n", + "27\t-0.999(52)\n", + "28\t-0.22(71)\n", + "29\t 0.80(32)\n", + "30\t-0.70(27)\n", + "31\t-0.00(28)\n", + "32\t 0.957(58)\n", + "33\t-0.24(14)\n", + "34\t-0.993(14)\n", + "35\t-0.658(79)\n", + "36\t 0.070(84)\n", + "37\t 0.630(54)\n", + "38\t 0.917(23)\n", + "39\t 0.9997(12)\n", + "40\t 0.960(11)\n", + "41\t 0.865(17)\n", + "42\t 0.756(17)\n", + "43\t 0.650(18)\n", + "44\t 0.561(22)\n", + "45\t 0.494(23)\n", + "46\t 0.451(24)\n", + "47\t 0.428(25)\n", + "48\t 0.422(27)\n", + "49\t 0.435(27)\n", + "50\t 0.464(27)\n", + "51\t 0.511(28)\n", + "52\t 0.577(32)\n", + "53\t 0.660(38)\n", + "54\t 0.760(41)\n", + "55\t 0.867(41)\n", + "56\t 0.958(30)\n", + "57\t 1.00000(28)\n", + "58\t 0.931(55)\n", + "59\t 0.67(14)\n", + "60\t 0.15(23)\n", + "61\t-0.54(23)\n", + "62\t-0.999(17)\n", + "63\t-0.40(37)\n", + "64\t 0.88(23)\n", + "65\t 0.19(57)\n", + "66\t-0.89(31)\n", + "67\t 0.99(10)\n", + "68\t-0.83(52)\n", + "69\t-0.4(1.0)\n", + "70\t 0.2(1.4)\n", + "71\t-0.6(1.4)\n", + "72\t 0.3(2.2)\n", + "73\t-0.8(1.5)\n", + "74\t 0.4(2.8)\n", + "75\t-0.7(2.6)\n", + "76\t 0.7(3.1)\n", + "77\t-1.00(55)\n", + "78\t 0.99(84)\n", + "79\t-0.7(6.9)\n", + "80\t 1.0(4.0)\n", + "81\t-0.8(9.3)\n", + "82\t 0(22)\n", + "83\t-1(13)\n", + "84\t-0(31)\n", + "85\t 1(24)\n", + "86\t 1.0(5.0)\n", + "87\t-1(43)\n", + "88\t-1(14)\n", + "89\t-1(22)\n", + "90\t-1(35)\n", + "91\t-1(43)\n", + "92\t 1(43)\n", + "93\t 1(18)\n", + "94\t-0(105)\n", + "95\t 1(17)" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "some_new_corr=np.sin(my_correlator+2*correlator_incomplete)\n", + "\n", + "some_new_corr" + ] + }, + { + "cell_type": "markdown", + "id": "6479a999", + "metadata": {}, + "source": [ + "Some functions might also return correlators with missing values. We already looked at the forward derivative. \n", + "The forward derivative is not defined for the last value. \n", + "\n", + "The important thing is that, whatever you do, correlators keep their length **T**. So there will never be confusion about how you count timeslices. \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "f3c4609c", + "metadata": {}, + "outputs": [], + "source": [ + "assert first_derivative.T==my_correlator.T==len(first_derivative.content)==len(my_correlator.content)\n", + "assert first_derivative.content[-1]==None\n" + ] + }, + { + "cell_type": "markdown", + "id": "fcf947ea", + "metadata": {}, + "source": [ + "You can also take a plateau or perform a fit, even though some values might be missing. " + ] + }, { "cell_type": "markdown", "id": "7fcbcac4", @@ -384,10 +682,351 @@ "There is a range of addtional methods of the `Corr` class which can be found in the documentation." ] }, + { + "cell_type": "markdown", + "id": "2fbe1263", + "metadata": {}, + "source": [ + "## Matrix Correlators\n", + "\n", + "A correlator can not only contain a list of Obs, but also a list of matrices of obs. \n", + "This is useful, if there are multiple sources and sinks used. In our example, the sources have a different Gaussian smearing applied. \n", + "\n", + "We will load such a correlator." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "b529a36c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data has been written using pyerrors 2.0.0+dev.\n", + "Format version 0.1\n", + "Written by jan on 2022-01-27 10:49:51 +0100 on host endwings, Linux-5.13.0-27-generic-x86_64-with-glibc2.10\n", + "[[Obs[0.95214(67)] Obs[0.01240(11)] Obs[0.005965(72)] Obs[0.002719(40)]]\n", + " [Obs[0.01241(12)] Obs[0.004389(60)] Obs[0.002672(41)] Obs[0.001432(25)]]\n", + " [Obs[0.005975(74)] Obs[0.002672(41)] Obs[0.001741(29)] Obs[0.000990(18)]]\n", + " [Obs[0.002729(41)] Obs[0.001433(25)] Obs[0.000990(18)] Obs[0.000596(12)]]]\n" + ] + } + ], + "source": [ + "matrix_V1V1= pe.input.json.load_json(\"./data/matrix_correlator_V1V1\")\n", + "\n", + "print(matrix_V1V1.content[0]) " + ] + }, + { + "cell_type": "markdown", + "id": "617f478b", + "metadata": {}, + "source": [ + "We printed out the content at timeslice 0. As we can see, it is a matrix of Obs. \n", + "\n", + "Let us try to get the effective mass. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "1e66c026", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Something is wrong\n" + ] + } + ], + "source": [ + "try:\n", + " matrix_V1V1.m_eff() #This does not work! \n", + "except:\n", + " print(\"Something is wrong\")" + ] + }, + { + "cell_type": "markdown", + "id": "11e4e0ee", + "metadata": {}, + "source": [ + "Many methods we could use for regular correlators do not work with matrix-correlators. \n", + "In order to get the effective mass, we need to convert to a regular correlator first. \n", + "\n", + "One way to do it, is to pick a smearing out of the matrix:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "e50b3569", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Corr T=64 N=1\n", + "x0/a\tCorr(x0/a)\n", + "------------------\n", + "0\t 0.95214(67)\n", + "1\t 0.05672(10)\n", + "2\t 0.008450(29)\n", + "3\t 0.0016713(95)\n", + "4\t 0.0004133(34)\n", + "5\t 0.0001174(12)\n", + "6\t 0.00003618(40)\n", + "7\t 0.00001171(15)\n", + "8\t 0.000003917(58)\n", + "9\t 0.000001333(22)\n", + "10\t 0.0000004611(96)\n", + "11\t 0.0000001613(34)\n", + "12\t 0.0000000571(13)\n", + "13\t 0.00000002021(49)\n", + "14\t 0.00000000719(18)\n", + "15\t 0.000000002575(69)\n", + "16\t 0.000000000927(27)\n", + "17\t 0.000000000334(11)\n", + "18\t 0.0000000001197(44)\n", + "19\t 0.0000000000430(17)\n", + "20\t 0.00000000001544(66)\n", + "21\t 0.00000000000553(25)\n", + "22\t 0.000000000001987(93)\n", + "23\t 0.000000000000715(34)\n", + "24\t 0.000000000000258(12)\n", + "25\t 0.0000000000000933(47)\n", + "26\t 0.0000000000000338(18)\n", + "27\t 0.00000000000001230(71)\n", + "28\t 0.00000000000000445(27)\n", + "29\t 0.00000000000000163(10)\n", + "30\t 0.000000000000000606(38)\n", + "31\t 0.000000000000000244(15)\n", + "32\t 0.0000000000000001549(82)\n", + "33\t 0.000000000000000236(17)\n", + "34\t 0.000000000000000575(46)\n", + "35\t 0.00000000000000155(12)\n", + "36\t 0.00000000000000424(32)\n", + "37\t 0.0000000000000117(11)\n", + "38\t 0.0000000000000324(30)\n", + "39\t 0.0000000000000903(96)\n", + "40\t 0.000000000000252(26)\n", + "41\t 0.000000000000701(71)\n", + "42\t 0.00000000000195(18)\n", + "43\t 0.00000000000545(44)\n", + "44\t 0.00000000001520(62)\n", + "45\t 0.0000000000424(16)\n", + "46\t 0.0000000001186(42)\n", + "47\t 0.000000000330(11)\n", + "48\t 0.000000000920(52)\n", + "49\t 0.00000000257(13)\n", + "50\t 0.00000000721(34)\n", + "51\t 0.00000002017(87)\n", + "52\t 0.0000000567(22)\n", + "53\t 0.0000001603(58)\n", + "54\t 0.000000460(16)\n", + "55\t 0.000001336(41)\n", + "56\t 0.00000393(11)\n", + "57\t 0.00001174(27)\n", + "58\t 0.00003632(71)\n", + "59\t 0.0001175(19)\n", + "60\t 0.0004128(47)\n", + "61\t 0.0016748(97)\n", + "62\t 0.008456(38)\n", + "63\t 0.05671(13)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "single_smearing=matrix_V1V1.smearing(0,0)\n", + "single_smearing" + ] + }, + { + "cell_type": "markdown", + "id": "48b62bb4", + "metadata": {}, + "source": [ + "**.smearing(i,j)** picks the element [i,j] from every matrix and returns a correlator containing one Obs per timeslice. \n", + "But there is a more usefull way to retrieve a single value per timeslice. \n", + "We might want a linear combination of different sources and sinks. \n", + "We can formalize this as\n", + "\n", + "$$C_{\\textrm{projected}}(t)=v_1^T \\underline{C}(t) v_2$$\n", + "\n", + "If we choose the vectors to be $v_1=v_2=(0,1,0,0)$, we should get the same correlator as in the cell above. \n", + "\n", + "Thinking about it this way is usefull in the Context of the generalized eigenvalue problem (GEVP), used to find the source-sink combination, which best describes a certain energy eigenstate.\n", + "A good introduction is found in https://arxiv.org/abs/0902.1265." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "bd96f8bd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ -0.71920537, 162.3903938 , -492.21321233, 714.06804297])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vec=matrix_V1V1.GEVP(t0=3,ts=6,state=0)\n", + "assert len(vec)==matrix_V1V1.N\n", + "vec" + ] + }, + { + "cell_type": "markdown", + "id": "c80b1f41", + "metadata": {}, + "source": [ + "As we see, the eigenvector is of length **matrix_V1V1.N** and contains regular floats. \n", + "We can use it to project the correlator. " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "a8d1a547", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "matrix_V1V1.projected(vec).m_eff().show(comp=single_smearing.m_eff())" + ] + }, + { + "cell_type": "markdown", + "id": "5a88dd33", + "metadata": {}, + "source": [ + "There is a lot going on in this line of code. \n", + "We start with our matrix correlator and we project it, using the vector we got from the GEVP routine. \n", + "\n", + "This gives us a new correlator with one Obs per timeslice. We then calculate its effective mass and plot it. \n", + "We tell the **.plot()** function to show another correlator as a comparison. \n", + "\n", + "We can see, that the projected correlator (*blue*) converges to a mass plateau much quicker than the single smearing." + ] + }, + { + "cell_type": "markdown", + "id": "79826bbd", + "metadata": {}, + "source": [ + "## Example Analysis\n", + "\n", + "We can use what we learned so far to perform an actually usefull analysis. \n", + "The correlator **matrix_V1V1** we looked at corresponds to vector-charmonium. \n", + "\n", + "We might be interested in the mass of the $J/\\Psi$ state." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "b68f757f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data has been written using pyerrors 2.0.0+dev.\n", + "Format version 0.1\n", + "Written by jan on 2022-01-27 10:49:51 +0100 on host endwings, Linux-5.13.0-27-generic-x86_64-with-glibc2.10\n", + "Data has been written using pyerrors 2.0.0+dev.\n", + "Format version 0.1\n", + "Written by jan on 2022-01-27 10:49:51 +0100 on host endwings, Linux-5.13.0-27-generic-x86_64-with-glibc2.10\n", + "Fit with 1 parameter\n", + "Method: Levenberg-Marquardt\n", + "`ftol` termination condition is satisfied.\n", + "chisquare/d.o.f.: 0.37168849195965686\n", + "--- The mass was calculated to be 3069.4(9.4) MeV ---\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# We do not just have V1V1, but also the two other spacial directions. We can average over them for better statistics. \n", + "matrix_V2V2= pe.input.json.load_json(\"./data/matrix_correlator_V2V2\")\n", + "matrix_V3V3= pe.input.json.load_json(\"./data/matrix_correlator_V3V3\")\n", + "matrix_VnVn=(matrix_V1V1+matrix_V2V2+matrix_V3V3)/3. \n", + "\n", + "#We then solve the GEVP to get eigenvectors corresponding to the ground state. \n", + "\n", + "vec_ground=matrix_VnVn.GEVP(t0=3,ts=6,state=0)\n", + "\n", + "#Now we project the matrix-correlators to get new correlators belonging to the ground state.\n", + "\n", + "corr_ground=matrix_VnVn.projected(vec_ground)\n", + "\n", + "# We get the effective mass using the periodic cosh method. \n", + "\n", + "m_eff_Jpsi=corr_ground.m_eff(variant=\"cosh\")\n", + "\n", + "m_eff_Jpsi.show([5,25])\n", + "\n", + "#From the plot we can pick a plateau range and get a single value for the mass. \n", + "\n", + "m_Jpsi=m_eff_Jpsi.plateau([8,18])\n", + "\n", + "\n", + "# Since the lattice spacing is known, we can multiply with hbar*c/a to see it in physical units \n", + "\n", + "m_Jpsi=m_Jpsi*197/0.0653\n", + "\n", + "#As a last step we call the gamma method to get the error \n", + "\n", + "m_Jpsi.gamma_method()\n", + "\n", + "print(\"--- The mass was calculated to be\" , m_Jpsi, \"MeV ---\")\n" + ] + }, { "cell_type": "code", "execution_count": null, - "id": "2fbe1263", + "id": "fca69475", "metadata": {}, "outputs": [], "source": [] @@ -409,7 +1048,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.8.8" } }, "nbformat": 4, diff --git a/examples/data/matrix_correlator.json.gz b/examples/data/matrix_correlator.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..c31b9b93f7bfd603ebbe14233e4450a41157970a GIT binary patch literal 266436 zcmV(+K;6F|iwFpQX!2nK|1d5wGB+|bUob8(Ur;qrHD6P+R%K;wnU+A!xpvL0Jd7NN zh#3FpKm7K0|Ko3e{l~xk@xTAw-|N5r??3(RZ-4#UKmV3~!cX{*|L~`O{kuQtFaGsU 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