From 1556ed420cb21a96c29c856335e12100a0dcee1e Mon Sep 17 00:00:00 2001 From: Daniel Wenz Date: Mon, 14 Aug 2023 10:01:33 -0500 Subject: [PATCH] Add more text --- IminuitExample.ipynb | 1728 ++++++++++++++++++++++-------------------- 1 file changed, 902 insertions(+), 826 deletions(-) diff --git a/IminuitExample.ipynb b/IminuitExample.ipynb index 1d8ba26..471b8be 100644 --- a/IminuitExample.ipynb +++ b/IminuitExample.ipynb @@ -30,7 +30,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 5, "id": "8f008534-a7a3-482e-9495-611866787c05", "metadata": {}, "outputs": [], @@ -45,7 +45,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 6, "id": "36435872-d6c4-4e16-8814-82f90342d84d", "metadata": {}, "outputs": [], @@ -82,7 +82,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 7, "id": "e77a7824-f8fa-43b2-ad98-009e17c05c72", "metadata": {}, "outputs": [], @@ -97,7 +97,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 8, "id": "54c27237-effd-4396-91d8-b6b4d43d589c", "metadata": {}, "outputs": [], @@ -107,7 +107,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 9, "id": "f03f0f86-7452-4528-b0a1-7e4411dbc410", "metadata": {}, "outputs": [], @@ -203,7 +203,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 10, "id": "f8ef1be0-a42d-4a11-b674-c2ed099fefcb", "metadata": {}, "outputs": [], @@ -223,7 +223,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 11, "id": "f14ca80f-e0d7-4447-9335-b3744f7a028f", "metadata": {}, "outputs": [ @@ -354,7 +354,7 @@ "9 9 0.883672 -0.019052 0.05 0.016328" ] }, - "execution_count": 7, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -373,7 +373,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 12, "id": "93b7cbb1-1095-4a53-83d9-7b32f068daea", "metadata": {}, "outputs": [ @@ -393,7 +393,7 @@ "Name: time, dtype: float64" ] }, - "execution_count": 8, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -412,7 +412,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 13, "id": "969d8afa-5d52-4e01-8b64-ddab090891b8", "metadata": {}, "outputs": [ @@ -432,7 +432,7 @@ "Name: current, dtype: float64" ] }, - "execution_count": 9, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -451,7 +451,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 14, "id": "e4b44637-8e25-46c1-863d-3cd7604f52dd", "metadata": {}, "outputs": [ @@ -461,7 +461,7 @@ "0.0118852615051639" ] }, - "execution_count": 10, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -480,7 +480,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 15, "id": "f246f55e-5fc8-427c-990d-3e97799b5aeb", "metadata": {}, "outputs": [ @@ -491,7 +491,7 @@ " 0.01188526, -0.01882397, 0.04451315, 0.00688072, -0.01905164])" ] }, - "execution_count": 11, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -510,7 +510,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 16, "id": "e3898686-3926-48a0-be4c-4d460a1792f3", "metadata": {}, "outputs": [ @@ -551,7 +551,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "id": "2ffe340b-cd0f-45ec-b5b8-42e7a0349d4c", "metadata": {}, "outputs": [], @@ -577,7 +577,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "id": "bf36b7b9-fb20-47b7-8538-479026b48fb2", "metadata": {}, "outputs": [ @@ -712,7 +712,7 @@ "└────┴───────────────────────────────────────────────────────┘" ] }, - "execution_count": 17, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, @@ -777,7 +777,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "id": "d3230cb6-fbe3-4093-ba09-5271dc168a4d", "metadata": {}, "outputs": [ @@ -816,7 +816,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "id": "af339c6e-f0e7-40cd-a2cf-61aaaa4df1e4", "metadata": {}, "outputs": [ @@ -869,7 +869,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "id": "847419a7-d77b-4207-8607-44af9d615ffc", "metadata": {}, "outputs": [ @@ -982,7 +982,7 @@ "└─────┴───────────────────┘" ] }, - "execution_count": 20, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, @@ -1023,7 +1023,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "id": "69f540a5-e89b-4c24-aa7e-b03eaedb28d1", "metadata": {}, "outputs": [ @@ -1033,7 +1033,7 @@ "1.0670397937137222" ] }, - "execution_count": 21, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -1052,7 +1052,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "id": "66e6da5b-ff32-4982-a3aa-5b9b93262073", "metadata": {}, "outputs": [ @@ -1062,7 +1062,7 @@ "0.050402330240634355" ] }, - "execution_count": 22, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -1081,7 +1081,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "id": "45fcf856-c58e-424d-8fd7-15037cb6698e", "metadata": {}, "outputs": [ @@ -1203,7 +1203,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 41, "id": "43bfd15e-7b68-4b70-bc06-0b23f89f7bff", "metadata": {}, "outputs": [ @@ -1211,199 +1211,93 @@ "name": "stdout", "output_type": "stream", "text": [ - "(0.9, 10000.0, 1e-06) -> 80299.69058891697\n", - "(0.9012452948646013, 10000.0, 1e-06) -> 80526.18965485664\n", - "(0.8987547051353988, 10000.0, 1e-06) -> 80073.51136202173\n", - "(0.9004308748479504, 10000.0, 1e-06) -> 80378.02359217647\n", - "(0.8995691251520497, 10000.0, 1e-06) -> 80221.39587601055\n", - "(0.9, 10013.834507037946, 1e-06) -> 79622.63978381334\n", - "(0.9, 9986.165492962054, 1e-06) -> 80984.35435795251\n", - "(0.9, 10001.383450703794, 1e-06) -> 80231.64462947704\n", - "(0.9, 9998.616549296206, 1e-06) -> 80367.81267664742\n", - "(0.9, 10000.0, 1.0013836609610407e-06) -> 79622.5374588146\n", - "(0.9, 10000.0, 9.986163390389592e-07) -> 80984.45899720961\n", - "(0.9, 10000.0, 1.000138366096104e-06) -> 80231.63429361269\n", - "(0.9, 10000.0, 9.99861633903896e-07) -> 80367.8230356535\n", - "(0.01874743961019698, 11237.265275850094, 1.1237265276308393e-06) -> 220.6722136427291\n", - "(0.284586001978377, 10864.031952074476, 1.0864031952394525e-06) -> 2881.0841599860123\n", - "(0.11358432817377395, 11104.115717637773, 1.110411571804675e-06) -> 424.5249883164687\n", - "(0.018790527094992016, 11237.265275850094, 1.1237265276308393e-06) -> 220.62940218460562\n", - "(0.018704352125401946, 11237.265275850094, 1.1237265276308393e-06) -> 220.71513473340076\n", - "(0.01874743961019698, 11237.403620920473, 1.1237265276308393e-06) -> 220.67272516952943\n", - "(0.01874743961019698, 11237.126930779714, 1.1237265276308393e-06) -> 220.6717021065287\n", - "(0.01874743961019698, 11238.648726553887, 1.1237265276308393e-06) -> 220.67732848757515\n", - "(0.01874743961019698, 11235.8818251463, 1.1237265276308393e-06) -> 220.66709785786958\n", - "(0.01874743961019698, 11237.265275850094, 1.1237403642404498e-06) -> 220.6727252472707\n", - "(0.01874743961019698, 11237.265275850094, 1.1237126910212289e-06) -> 220.67170202878458\n", - "(0.01874743961019698, 11237.265275850094, 1.1238648937269433e-06) -> 220.67732926485905\n", - "(0.01874743961019698, 11237.265275850094, 1.1235881615347354e-06) -> 220.66709708029992\n", - "(0.02354972366532792, 11237.181373608577, 1.123718137406686e-06) -> 216.57497287202676\n", - "(0.03559487891832495, 11236.970928846556, 1.123697092930479e-06) -> 212.29214614381652\n", - "(0.03563637946965444, 11236.970928846556, 1.123697092930479e-06) -> 212.2922088228832\n", - "(0.03555337836699545, 11236.970928846556, 1.123697092930479e-06) -> 212.29218519571265\n", - "(0.03559487891832495, 11250.557499010538, 1.123697092930479e-06) -> 212.28602162487988\n", - "(0.03559487891832495, 11223.384358682575, 1.123697092930479e-06) -> 212.29893152088437\n", - "(0.03559487891832495, 11242.256957337766, 1.123697092930479e-06) -> 212.28968534014302\n", - "(0.03559487891832495, 11231.684900355347, 1.123697092930479e-06) -> 212.29470697987432\n", - "(0.03559487891832495, 11236.970928846556, 1.1250807538915197e-06) -> 212.28591504175927\n", - "(0.03559487891832495, 11236.970928846556, 1.1223134319694383e-06) -> 212.2990626524163\n", - "(0.03559487891832495, 11236.970928846556, 1.1242300939534861e-06) -> 212.28966528326941\n", - "(0.03559487891832495, 11236.970928846556, 1.123164091907472e-06) -> 212.2947287082918\n", - "(0.03559487891832495, 11236.970928846556, 1.123697092930479e-06) -> 212.29214614381652\n", - "(0.03563637946965444, 11236.970928846556, 1.123697092930479e-06) -> 212.2922088228832\n", - "(0.03555337836699545, 11236.970928846556, 1.123697092930479e-06) -> 212.29218519571265\n", - "(0.03559487891832495, 11242.256957337766, 1.123697092930479e-06) -> 212.28968534014302\n", - "(0.03559487891832495, 11231.684900355347, 1.123697092930479e-06) -> 212.29470697987432\n", - "(0.03559487891832495, 11236.970928846556, 1.1242300939534861e-06) -> 212.28966528326941\n", - "(0.03559487891832495, 11236.970928846556, 1.123164091907472e-06) -> 212.2947287082918\n", - "(0.035603179028590844, 11236.970928846556, 1.123697092930479e-06) -> 212.29215054115292\n", - "(0.03558657880805905, 11236.970928846556, 1.123697092930479e-06) -> 212.29214581571875\n", - "(0.03559487891832495, 11238.028134544798, 1.123697092930479e-06) -> 212.29164599966447\n", - "(0.03559487891832495, 11235.913723148315, 1.123697092930479e-06) -> 212.29265028925306\n", - "(0.03559487891832495, 11236.970928846556, 1.1238036931350805e-06) -> 212.2916418550488\n", - "(0.03559487891832495, 11236.970928846556, 1.1235904927258775e-06) -> 212.29265450073018\n", - "(0.03563637946965444, 11242.256957337766, 1.123697092930479e-06) -> 212.28964759003514\n", - "(0.03563637946965444, 11236.970928846556, 1.1242300939534861e-06) -> 212.28962669934117\n", - "(0.03559487891832495, 11242.256957337766, 1.1242300939534861e-06) -> 212.28730364301265\n", - "(2.2387013730650716, 153512.47970788088, 1.5321715146660597e-05) -> 800863512.0926026\n", - "(0.1457502036256623, 18350.746367798274, 1.833597995616985e-06) -> 207.48252123940458\n", - "(0.1457912284905751, 18350.746367798274, 1.833597995616985e-06) -> 207.4798360033104\n", - "(0.14570917876074949, 18350.746367798274, 1.833597995616985e-06) -> 207.48521165210263\n", - "(0.1459299849447334, 18350.746367798274, 1.833597995616985e-06) -> 207.4707922201848\n", - "(0.1455704223065912, 18350.746367798274, 1.833597995616985e-06) -> 207.4943496708378\n", - "(0.1457502036256623, 18355.972636896357, 1.833597995616985e-06) -> 207.48310932666232\n", - "(0.1457502036256623, 18345.52009870019, 1.833597995616985e-06) -> 207.48193536080672\n", - "(0.1457502036256623, 18377.34683525181, 1.833597995616985e-06) -> 207.4855372327258\n", - "(0.1457502036256623, 18324.145900344738, 1.833597995616985e-06) -> 207.4795624641695\n", - "(0.1457502036256623, 18350.746367798274, 1.8341249573147995e-06) -> 207.48311469203867\n", - "(0.1457502036256623, 18350.746367798274, 1.8330710339191706e-06) -> 207.4819300358387\n", - "(0.1457502036256623, 18350.746367798274, 1.8371014591676097e-06) -> 207.48650848378404\n", - "(0.1457502036256623, 18350.746367798274, 1.8300945320663605e-06) -> 207.47863341106964\n", - "(0.7597049288459635, 57573.50328070053, 5.7468089597108976e-06) -> 1195304.6375728513\n", - "(0.17644793988667737, 20311.884213443387, 2.0292585438216807e-06) -> 205.3090326087997\n", - "(0.17662678161462758, 20311.884213443387, 2.0292585438216807e-06) -> 205.29923976445386\n", - "(0.17626909815872716, 20311.884213443387, 2.0292585438216807e-06) -> 205.31889673847678\n", - "(0.17644793988667737, 20338.347528461414, 2.0292585438216807e-06) -> 205.3000128159778\n", - "(0.17644793988667737, 20285.42089842536, 2.0292585438216807e-06) -> 205.31803195949215\n", - "(0.17644793988667737, 20311.884213443387, 2.032743630070525e-06) -> 205.29713827751468\n", - "(0.17644793988667737, 20311.884213443387, 2.0257734575728364e-06) -> 205.32089141942058\n", - "(0.17644793988667737, 20311.884213443387, 2.035058399123462e-06) -> 205.2892176101183\n", - "(0.17644793988667737, 20311.884213443387, 2.0234586885198993e-06) -> 205.32874924043455\n", - "(27.62661499141232, 16248.151295370044, 1706130.262293866) -> 251105710597.7842\n", - "(13.33333318096676, 18364.134039350407, 817749.488563337) -> 58488401349.6309\n", - "(6.619666259704454, 19358.027782062527, 400470.0496509) -> 14416071655.532528\n", - "(3.3643835536006943, 19839.941042029135, 198142.08833926904) -> 3723505862.3797007\n", - "(1.7616745866406807, 20077.206672322078, 98527.74846861274) -> 1020775163.9700875\n", - "(0.9666590199526081, 20194.901071874065, 49114.565853965316) -> 307268348.5349943\n", - "(0.5708295004403338, 20253.499820849538, 24512.284903154356) -> 107107299.21801966\n", - "(0.3733862168956244, 20282.729397823954, 12240.44843273936) -> 45804716.44149411\n", - "(0.27480907512602976, 20297.32279447712, 6113.51141164059) -> 24799091.121010832\n", - "(0.22557003916293816, 20304.612159635515, 3053.121681224085) -> 16701478.438160054\n", - "(0.20096962923562423, 20308.25401345127, 1524.1144528530604) -> 13253455.27378609\n", - "(0.17644793988667737, 20311.884213443387, 2.0292585438216807e-06) -> 205.3090326087997\n", - "(0.18644794988667238, 20311.884213443387, 2.0292585438216807e-06) -> 204.87090665322776\n", - "(0.16644792988668236, 20311.884213443387, 2.0292585438216807e-06) -> 205.97003457517442\n", - "(0.17744794088667687, 20311.884213443387, 2.0292585438216807e-06) -> 205.2551905927564\n", - "(0.17544793888667787, 20311.884213443387, 2.0292585438216807e-06) -> 205.36510338495106\n", - "(0.17644793988667737, 20345.474497156254, 2.0292585438216807e-06) -> 205.297580051539\n", - "(0.17644793988667737, 20278.29392973052, 2.0292585438216807e-06) -> 205.3204522310887\n", - "(0.17644793988667737, 20311.884213443387, 0.010008301289497496) -> 10127550.783925368\n", - "(0.17644793988667737, 20311.884213443387, -0.010004242772409851) -> 10298760.971541697\n", - "(0.17644793988667737, 20311.884213443387, 0.001002656461639189) -> 9393352.887426605\n", - "(0.17644793988667737, 20311.884213443387, -0.0009985979445515456) -> 11107759.034556672\n", - "(0.17644793988667737, 20311.884213443387, 0.00010209197885335842) -> 4496959.593791175\n", - "(0.17644793988667737, 20311.884213443387, -9.803346176571506e-05) -> 24060229.576861788\n", - "(0.17644793988667737, 20345.474497156254, 2.0292585438216807e-06) -> 205.297580051539\n", - "(0.17644793988667737, 20479.835632007715, 2.0292585438216807e-06) -> 205.25140775735804\n", - "(0.17644793988667737, 20815.738469136362, 2.0292585438216807e-06) -> 205.13289457452655\n", - "(0.17644793988667737, 21823.44698052232, 2.0292585438216807e-06) -> 204.7387032579184\n", - "(0.17644793988667737, 24846.572514680178, 2.0292585438216807e-06) -> 202.97384781203542\n", - "(0.17644793988667737, 33915.94911715377, 2.0292585438216807e-06) -> 189.71900804568585\n", - "(0.17644793988667737, 53902.16792630852, 2.0292585438216807e-06) -> 112.11853240474552\n", - "(0.17660350804040564, 53902.16792630852, 2.0292585438216807e-06) -> 112.02891844456174\n", - "(0.1762923717329491, 53902.16792630852, 2.0292585438216807e-06) -> 112.20820219166187\n", - "(0.17644793988667737, 53926.81183550759, 2.0292585438216807e-06) -> 111.98914229504203\n", - "(0.17644793988667737, 53877.52401710944, 2.0292585438216807e-06) -> 112.24790543650509\n", - "(0.17644793988667737, 53902.16792630852, 1.2035530574775356e-05) -> 749047.029338218\n", - "(0.17644793988667737, 53902.16792630852, -7.977013487131994e-06) -> 551322055.5667844\n", - "(0.17644793988667737, 53902.16792630852, 3.029885746917048e-06) -> 266.94117153688745\n", - "(0.17644793988667737, 53902.16792630852, 1.0286313407263131e-06) -> 200.63772384513936\n", - "(0.17644793988667737, 53902.16792630852, 2.1293212641312174e-06) -> 98.19360194119729\n", - "(0.17644793988667737, 53902.16792630852, 1.929195823512144e-06) -> 125.87066857173629\n", - "(0.17644793988667737, 53926.81183550759, 2.0292585438216807e-06) -> 111.98914229504203\n", - "(0.17644793988667737, 54025.3874723039, 2.0292585438216807e-06) -> 111.47142213353476\n", - "(0.17644793988667737, 54271.82656429465, 2.0292585438216807e-06) -> 110.17620040438197\n", - "(0.17644793988667737, 55011.143840266916, 2.0292585438216807e-06) -> 106.28781862033046\n", - "(0.17644793988667737, 57229.09566818372, 2.0292585438216807e-06) -> 94.75564832455532\n", - "(0.17644793988667737, 63882.951151934125, 2.0292585438216807e-06) -> 67.4635526553343\n", - "(0.17644793988667737, 77130.26013395059, 2.0292585438216807e-06) -> 166.0658152339351\n", - "(0.17644793988667737, 70506.60564294236, 2.0292585438216807e-06) -> 74.85498866142912\n", - "(0.17644793988667737, 65774.91669150036, 2.0292585438216807e-06) -> 64.35253460447431\n", - "(0.1765641692483437, 65774.91669150036, 2.0292585438216807e-06) -> 64.30414002567912\n", - "(0.17633171052501104, 65774.91669150036, 2.0292585438216807e-06) -> 64.40102621120258\n", - "(0.17651380928933824, 65774.91669150036, 2.0292585438216807e-06) -> 64.32509655837454\n", - "(0.1763820704840165, 65774.91669150036, 2.0292585438216807e-06) -> 64.3800038130908\n", - "(0.17644793988667737, 65793.73073160845, 2.0292585438216807e-06) -> 64.33807470297462\n", - "(0.17644793988667737, 65756.10265139227, 2.0292585438216807e-06) -> 64.36735084850508\n", - "(0.17644793988667737, 65780.32187277022, 2.0292585438216807e-06) -> 64.34834382018747\n", - "(0.17644793988667737, 65769.5115102305, 2.0292585438216807e-06) -> 64.35675480071737\n", - "(0.17644793988667737, 65774.91669150036, 2.0392648158526344e-06) -> 64.15399394342332\n", - "(0.17644793988667737, 65774.91669150036, 2.019252271790727e-06) -> 64.65698618113858\n", - "(0.17644793988667737, 65774.91669150036, 2.0302591710247762e-06) -> 64.32783003130145\n", - "(0.17644793988667737, 65774.91669150036, 2.028257916618585e-06) -> 64.37829817359554\n", - "(0.2344777213715522, 66547.78052455382, 2.0531017871071074e-06) -> 61.585030328012934\n", - "(0.20901253603801712, 66208.62500401438, 2.0426386663839283e-06) -> 56.72515398100699\n", - "(0.20907444236790867, 66208.62500401438, 2.0426386663839283e-06) -> 56.71917030619342\n", - "(0.20895062970812556, 66208.62500401438, 2.0426386663839283e-06) -> 56.73116796004825\n", - "(0.20901253603801712, 66213.70561491995, 2.0426386663839283e-06) -> 56.74138808391011\n", - "(0.20901253603801712, 66203.54439310881, 2.0426386663839283e-06) -> 56.70896451667243\n", - "(0.20901253603801712, 66208.62500401438, 2.042799988069747e-06) -> 56.741862793017\n", - "(0.20901253603801712, 66208.62500401438, 2.0424773446981096e-06) -> 56.708492452531246\n", - "(0.20901253603801712, 66208.62500401438, 2.042761751455297e-06) -> 56.73789817783422\n", - "(0.20901253603801712, 66208.62500401438, 2.0425155813125594e-06) -> 56.712437309677895\n", - "(0.2438002039870601, 64855.580803911354, 2.000894814508966e-06) -> 46.021485022433374\n", - "(0.36937377714370073, 59971.476612314334, 1.8502113986232294e-06) -> 40.327889933348494\n", - "(0.32044449156657334, 61874.55002793656, 1.9089246429968158e-06) -> 35.61290012059835\n", - "(0.3204914794149062, 61874.55002793656, 1.9089246429968158e-06) -> 35.606381162457645\n", - "(0.3203975037182405, 61874.55002793656, 1.9089246429968158e-06) -> 35.61942637223192\n", - "(0.3205171891354251, 61874.55002793656, 1.9089246429968158e-06) -> 35.60281735731878\n", - "(0.3203717939977216, 61874.55002793656, 1.9089246429968158e-06) -> 35.62300034226913\n", - "(0.32044449156657334, 61877.67381585722, 1.9089246429968158e-06) -> 35.60713779018709\n", - "(0.32044449156657334, 61871.4262400159, 1.9089246429968158e-06) -> 35.618673453810274\n", - "(0.32044449156657334, 61874.55002793656, 1.909022668684815e-06) -> 35.607039107744875\n", - "(0.32044449156657334, 61874.55002793656, 1.9088266173088165e-06) -> 35.618772516707736\n", - "(0.34027373143588147, 61845.32976113261, 1.908023281952575e-06) -> 33.57022654071601\n", - "(0.36399982222101446, 61810.36711468092, 1.9069447850406015e-06) -> 32.69141328003167\n", - "(0.36406955908866795, 61810.36711468092, 1.9069447850406015e-06) -> 32.69131128707305\n", - "(0.36393008535336097, 61810.36711468092, 1.9069447850406015e-06) -> 32.691531161430646\n", - "(0.36399982222101446, 61814.04559820505, 1.9069447850406015e-06) -> 32.69131234203796\n", - "(0.36399982222101446, 61806.688631156794, 1.9069447850406015e-06) -> 32.69153484199518\n", - "(0.36399982222101446, 61810.36711468092, 1.9070612382090942e-06) -> 32.691309980430496\n", - "(0.36399982222101446, 61810.36711468092, 1.9068283318721088e-06) -> 32.69153829582436\n", - "(0.3642505705772579, 61818.727695937, 1.9072027264443144e-06) -> 32.69104283789013\n", - "(0.36421273360985085, 61817.46611621927, 1.9071638040735702e-06) -> 32.69103067341378\n", - "(0.36428285717637465, 61817.46611621927, 1.9071638040735702e-06) -> 32.69102791322033\n", - "(0.36414261004332704, 61817.46611621927, 1.9071638040735702e-06) -> 32.691049518377234\n", - "(0.36421273360985085, 61820.65100788768, 1.9071638040735702e-06) -> 32.69104586238568\n", - "(0.36421273360985085, 61814.28122455086, 1.9071638040735702e-06) -> 32.691031007928835\n", - "(0.36421273360985085, 61817.46611621927, 1.9072639657700813e-06) -> 32.691046309818674\n", - "(0.36421273360985085, 61817.46611621927, 1.9070636423770592e-06) -> 32.69103116757846\n", - "(0.36421273360985085, 61817.46611621927, 1.9071638040735702e-06) -> 32.69103067341378\n", - "(0.36428285717637465, 61817.46611621927, 1.9071638040735702e-06) -> 32.69102791322033\n", - "(0.36414261004332704, 61817.46611621927, 1.9071638040735702e-06) -> 32.691049518377234\n", - "(0.36421273360985085, 61820.65100788768, 1.9071638040735702e-06) -> 32.69104586238568\n", - "(0.36421273360985085, 61814.28122455086, 1.9071638040735702e-06) -> 32.691031007928835\n", - "(0.36421273360985085, 61817.46611621927, 1.9072639657700813e-06) -> 32.691046309818674\n", - "(0.36421273360985085, 61817.46611621927, 1.9070636423770592e-06) -> 32.69103116757846\n", - "(0.3642267583231556, 61817.46611621927, 1.9071638040735702e-06) -> 32.691028834593496\n", - "(0.3641987088965461, 61817.46611621927, 1.9071638040735702e-06) -> 32.69103315562488\n", - "(0.36421273360985085, 61818.10309455296, 1.9071638040735702e-06) -> 32.69103246906524\n", - "(0.36421273360985085, 61816.82913788559, 1.9071638040735702e-06) -> 32.691029498701766\n", - "(0.36421273360985085, 61817.46611621927, 1.9071838364128724e-06) -> 32.69103250996962\n", - "(0.36421273360985085, 61817.46611621927, 1.907143771734268e-06) -> 32.69102948208074\n", - "(0.36428285717637465, 61820.65100788768, 1.9071638040735702e-06) -> 32.69105455821643\n", - "(0.36428285717637465, 61817.46611621927, 1.9072639657700813e-06) -> 32.691055227582524\n", - "(0.36421273360985085, 61820.65100788768, 1.9072639657700813e-06) -> 32.691077333435835\n" + "(0.9, 10000.0, 1e-06) -> 99.20912665811522\n", + "(0.9000900000000001, 10000.0, 1e-06) -> 99.19412063461034\n", + "(0.89991, 10000.0, 1e-06) -> 99.22413838602546\n", + "(0.9002604809700815, 10000.0, 1e-06) -> 99.16571136645308\n", + "(0.8997395190299186, 10000.0, 1e-06) -> 99.25258973321158\n", + "(0.9, 10001.0, 1e-06) -> 99.2081333982375\n", + "(0.9, 9999.0, 1e-06) -> 99.21012010104333\n", + "(0.9, 10010.0, 1e-06) -> 99.19920228362008\n", + "(0.9, 9990.0, 1e-06) -> 99.21906933767059\n", + "(0.9, 10000.0, 1.0001e-06) -> 99.2081333982375\n", + "(0.9, 10000.0, 9.999e-07) -> 99.21012010104333\n", + "(0.9, 10000.0, 1.001e-06) -> 99.19920228362008\n", + "(0.9, 10000.0, 9.989999999999999e-07) -> 99.21906933767059\n", + "(1.1367992341436675, 15426.65629293471, 1.5426656292934658e-06) -> 71.48428998018905\n", + "(1.1639942960414291, 16049.877285679564, 1.6049877285679507e-06) -> 69.75101904460233\n", + "(1.308096945474447, 19352.234036123315, 1.9352234036123227e-06) -> 64.0373348681763\n", + "(1.377047580024234, 20932.354834379075, 2.093235483437897e-06) -> 65.47264288596953\n", + "(1.3083067929414927, 19352.234036123315, 1.9352234036123227e-06) -> 64.06897571595725\n", + "(1.3078870980074015, 19352.234036123315, 1.9352234036123227e-06) -> 64.00572838249478\n", + "(1.308096945474447, 19363.537683275055, 1.9352234036123227e-06) -> 63.99858990110189\n", + "(1.308096945474447, 19340.930388971574, 1.9352234036123227e-06) -> 64.0760877366588\n", + "(1.308096945474447, 19352.234036123315, 1.9365250134806992e-06) -> 63.99272090590841\n", + "(1.308096945474447, 19352.234036123315, 1.933921793743946e-06) -> 64.08195930724722\n", + "(1.308096945474447, 19352.234036123315, 1.9374628097120974e-06) -> 63.96058355345421\n", + "(1.308096945474447, 19352.234036123315, 1.932983997512548e-06) -> 64.11411719500667\n", + "(1.4518988196469205, 28189.753065444456, 2.8189750163700463e-06) -> 61.272614820982845\n", + "(1.385496103118641, 24108.893380587735, 2.4108891818768406e-06) -> 49.65617486041412\n", + "(1.385672043336562, 24108.893380587735, 2.4108891818768406e-06) -> 49.694760759553645\n", + "(1.3853201629007201, 24108.893380587735, 2.4108891818768406e-06) -> 49.61761439538809\n", + "(1.385496103118641, 24122.984567537602, 2.4108891818768406e-06) -> 49.6271750967005\n", + "(1.385496103118641, 24094.80219363787, 2.4108891818768406e-06) -> 49.6852350578246\n", + "(1.385496103118641, 24117.03763372327, 2.4108891818768406e-06) -> 49.63940655944544\n", + "(1.385496103118641, 24100.7491274522, 2.4108891818768406e-06) -> 49.67296334907033\n", + "(1.385496103118641, 24108.893380587735, 2.4128655527857186e-06) -> 49.61551806057589\n", + "(1.385496103118641, 24108.893380587735, 2.4089128109679626e-06) -> 49.69695054357015\n", + "(1.385496103118641, 24108.893380587735, 2.411780041418529e-06) -> 49.63783388084468\n", + "(1.385496103118641, 24108.893380587735, 2.409998322335152e-06) -> 49.67453999473487\n", + "(1.3346958218375284, 26342.987535930857, 2.6342989994964907e-06) -> 32.40412806990936\n", + "(1.218308580069807, 31461.464245752708, 3.146147591686242e-06) -> 14.072342058026457\n", + "(1.2041974408796614, 32082.043754269307, 3.2082056542278777e-06) -> 13.53676656364805\n", + "(1.1905385220654157, 32682.73552056781, 3.2682749389683696e-06) -> 13.309190968111414\n", + "(1.1906296495547257, 32682.73552056781, 3.2682749389683696e-06) -> 13.321746128711856\n", + "(1.1904473945761056, 32682.73552056781, 3.2682749389683696e-06) -> 13.296643836281426\n", + "(1.1905385220654157, 32687.064556715202, 3.2682749389683696e-06) -> 13.31564880356511\n", + "(1.1905385220654157, 32678.40648442042, 3.2682749389683696e-06) -> 13.302737182521517\n", + "(1.1905385220654157, 32682.73552056781, 3.2687484177659625e-06) -> 13.316254288012424\n", + "(1.1905385220654157, 32682.73552056781, 3.2678014601707767e-06) -> 13.30213249281902\n", + "(0.9801502312575129, 30448.619847559406, 3.0448628816425382e-06) -> 6.96972301330329\n", + "(1.0625849715773497, 31323.995300450377, 3.1324006189341594e-06) -> 2.723232319724203\n", + "(1.0626278234687758, 31323.995300450377, 3.1324006189341594e-06) -> 2.723145418857497\n", + "(1.0625421196859235, 31323.995300450377, 3.1324006189341594e-06) -> 2.723320943276277\n", + "(1.0625849715773497, 31326.53248355612, 3.1324006189341594e-06) -> 2.7233762521216955\n", + "(1.0625849715773497, 31321.458117344635, 3.1324006189341594e-06) -> 2.7230896436266336\n", + "(1.0625849715773497, 31323.995300450377, 3.132687245408039e-06) -> 2.7233950126392372\n", + "(1.0625849715773497, 31323.995300450377, 3.13211399246028e-06) -> 2.72307123013582\n", + "(1.0663872573694309, 31176.616934344333, 3.117662764856898e-06) -> 2.707996462603649\n", + "(1.0676346425311973, 31128.267705196715, 3.112827836211991e-06) -> 2.7070251240566323\n", + "(1.0676780500361664, 31128.267705196715, 3.112827836211991e-06) -> 2.70705000293859\n", + "(1.0675912350262282, 31128.267705196715, 3.112827836211991e-06) -> 2.707002005340193\n", + "(1.0676346425311973, 31130.901765918446, 3.112827836211991e-06) -> 2.707043830842127\n", + "(1.0676346425311973, 31125.633644474983, 3.112827836211991e-06) -> 2.7070077881609484\n", + "(1.0676346425311973, 31128.267705196715, 3.113128792280756e-06) -> 2.7070466092241365\n", + "(1.0676346425311973, 31128.267705196715, 3.112526880143226e-06) -> 2.7070054284929457\n", + "(1.067212269933915, 31118.34694378787, 3.1118357598238063e-06) -> 2.706823247817995\n", + "(1.067168761630552, 31117.325013151873, 3.1117335667347323e-06) -> 2.706821465977302\n", + "(1.0672122600973335, 31117.325013151873, 3.1117335667347323e-06) -> 2.7068223416968538\n", + "(1.0671252631637707, 31117.325013151873, 3.1117335667347323e-06) -> 2.706822357390249\n", + "(1.067168761630552, 31119.94657401041, 3.1117335667347323e-06) -> 2.706822163448656\n", + "(1.067168761630552, 31114.703452293335, 3.1117335667347323e-06) -> 2.7068221260943885\n", + "(1.067168761630552, 31117.325013151873, 3.112032662687679e-06) -> 2.7068223708425214\n", + "(1.067168761630552, 31117.325013151873, 3.1114344707817854e-06) -> 2.7068223282441966\n", + "(1.067168761630552, 31117.325013151873, 3.1117335667347323e-06) -> 2.706821465977302\n", + "(1.0672122600973335, 31117.325013151873, 3.1117335667347323e-06) -> 2.7068223416968538\n", + "(1.0671252631637707, 31117.325013151873, 3.1117335667347323e-06) -> 2.706822357390249\n", + "(1.067168761630552, 31119.94657401041, 3.1117335667347323e-06) -> 2.706822163448656\n", + "(1.067168761630552, 31114.703452293335, 3.1117335667347323e-06) -> 2.7068221260943885\n", + "(1.067168761630552, 31117.325013151873, 3.112032662687679e-06) -> 2.7068223708425214\n", + "(1.067168761630552, 31117.325013151873, 3.1114344707817854e-06) -> 2.7068223282441966\n", + "(1.0671774613239084, 31117.325013151873, 3.1117335667347323e-06) -> 2.706821499750613\n", + "(1.0671600619371957, 31117.325013151873, 3.1117335667347323e-06) -> 2.706821502889292\n", + "(1.067168761630552, 31117.84932532358, 3.1117335667347323e-06) -> 2.7068214968699196\n", + "(1.067168761630552, 31116.800700980166, 3.1117335667347323e-06) -> 2.7068214893882208\n", + "(1.067168761630552, 31117.325013151873, 3.1117933859253217e-06) -> 2.7068215055878295\n", + "(1.067168761630552, 31117.325013151873, 3.111673747544143e-06) -> 2.7068214970520583\n", + "(1.0672122600973335, 31119.94657401041, 3.1117335667347323e-06) -> 2.70682365283658\n", + "(1.0672122600973335, 31117.325013151873, 3.112032662687679e-06) -> 2.7068239467067996\n", + "(1.067168761630552, 31119.94657401041, 3.112032662687679e-06) -> 2.7068246172709194\n" ] }, { @@ -1414,11 +1308,11 @@ " Migrad \n", " \n", " \n", - " FCN = 32.69 (χ²/ndof = 4.7) \n", - " Nfcn = 193 \n", + " FCN = 2.707 (χ²/ndof = 0.4) \n", + " Nfcn = 87 \n", " \n", " \n", - " EDM = 1.9e-05 (Goal: 0.0002) \n", + " EDM = 2.18e-10 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -1451,8 +1345,8 @@ " \n", " 0 \n", " I0 \n", - " 0.36 \n", - " 0.04 \n", + " 1.07 \n", + " 0.05 \n", " \n", " \n", " \n", @@ -1462,8 +1356,8 @@ " \n", " 1 \n", " R \n", - " 0.062e6 \n", - " 0.016e6 \n", + " 0.03e6 \n", + " 0.05e6 \n", " \n", " \n", " \n", @@ -1473,8 +1367,8 @@ " \n", " 2 \n", " C \n", - " 1.9e-6 \n", - " 0.5e-6 \n", + " 3e-6 \n", + " 5e-6 \n", " \n", " \n", " \n", @@ -1490,21 +1384,21 @@ " \n", " \n", " I0 \n", - " 0.00128 \n", - " -21.3103 (-0.038) \n", - " -660.62e-12 (-0.038) \n", + " 0.00253 \n", + " -34.3309 (-0.014) \n", + " -3.459e-9 (-0.014) \n", " \n", " \n", " R \n", - " -21.3103 (-0.038) \n", - " 2.48e+08 \n", - " -7.61159469847e-3 (-0.994) \n", + " -34.3309 (-0.014) \n", + " 2.25e+09 \n", + " -224.592785048e-3 (-0.997) \n", " \n", " \n", " C \n", - " -660.62e-12 (-0.038) \n", - " -7.61159469847e-3 (-0.994) \n", - " 2.36e-13 \n", + " -3.459e-9 (-0.014) \n", + " -224.592785048e-3 (-0.997) \n", + " 2.25e-11 \n", " \n", "" ], @@ -1512,8 +1406,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 32.69 (χ²/ndof = 4.7) │ Nfcn = 193 │\n", - "│ EDM = 1.9e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 2.707 (χ²/ndof = 0.4) │ Nfcn = 87 │\n", + "│ EDM = 2.18e-10 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -1524,26 +1418,26 @@ "┌───┬──────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ I0 │ 0.36 │ 0.04 │ │ │ │ │ │\n", - "│ 1 │ R │ 0.062e6 │ 0.016e6 │ │ │ │ │ │\n", - "│ 2 │ C │ 1.9e-6 │ 0.5e-6 │ │ │ │ │ │\n", + "│ 0 │ I0 │ 1.07 │ 0.05 │ │ │ │ │ │\n", + "│ 1 │ R │ 0.03e6 │ 0.05e6 │ │ │ │ │ │\n", + "│ 2 │ C │ 3e-6 │ 5e-6 │ │ │ │ │ │\n", "└───┴──────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌────┬───────────────────────────────────────────────────────┐\n", "│ │ I0 R C │\n", "├────┼───────────────────────────────────────────────────────┤\n", - "│ I0 │ 0.00128 -21.3103 -660.62e-12 │\n", - "│ R │ -21.3103 2.48e+08 -7.61159469847e-3 │\n", - "│ C │ -660.62e-12 -7.61159469847e-3 2.36e-13 │\n", + "│ I0 │ 0.00253 -34.3309 -3.459e-9 │\n", + "│ R │ -34.3309 2.25e+09 -224.592785048e-3 │\n", + "│ C │ -3.459e-9 -224.592785048e-3 2.25e-11 │\n", "└────┴───────────────────────────────────────────────────────┘" ] }, - "execution_count": 7, + "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1553,7 +1447,7 @@ } ], "source": [ - "ls = cost.LeastSquares(time_mess, current_mes, dcurrent, discharge_current, verbose=1)\n", + "ls = cost.LeastSquares(data_frame['time'], data_frame['current'], data_frame['delta_current'], discharge_current, verbose=1)\n", "\n", "\n", "mi = Minuit(ls, I0=0.9, R=10*10**3, C=10**-6)\n", @@ -1595,7 +1489,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 69, "id": "143a2a23-0a62-439f-9d28-9f555ae85589", "metadata": {}, "outputs": [ @@ -1605,13 +1499,13 @@ "Text(0, 0.5, 'Number of counts per bin')" ] }, - "execution_count": 10, + "execution_count": 69, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -1651,14 +1545,16 @@ "id": "b582615c-9251-409d-bcfc-d19fd579e161", "metadata": {}, "source": [ - "More complex fit, now use regional masking and parameter fixing...\n", + "Zunächst wollen wir das Fitmodel in der Form\n", "\n", - "First define fit model:" + "$$f(x) = A_1 \\cdot \\exp \\bigg\\{\\frac{-(x - \\mu_1)^2}{2 \\cdot \\sigma_1^2}\\bigg\\} + A_2 \\cdot \\exp \\bigg\\{\\frac{-(x - \\mu_2)^2}{2 \\cdot \\sigma_2^2}\\bigg\\} + A_3 \\exp\\{-x/\\tau\\}$$\n", + "\n", + "definieren. Hier lohnt es sich erst Funktionen für die einzelnen Komponenten zu definieren und dann das Gesamtmodel. Hierdurch lassen sich später die einzelnen Komponenten besser darstellen." ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 70, "id": "f84d7527-c0d2-475d-966d-5363a8e09369", "metadata": {}, "outputs": [], @@ -1678,14 +1574,12 @@ "id": "32014861-316c-4692-9d52-48f2fb71321c", "metadata": {}, "source": [ - "Explain how to get some good first parameters based on plot above...\n", - "\n", - "Tau is not really possible to guess..." + "Nun wollen wir wieder die Kostenfunktion und den Minimierungsfunktion definieren. Startwerte können wir anhand unseres Plots ablesen, lediglich $\\tau$ lässt sich auf diese weise nicht gut bestimmen." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 71, "id": "a31901cf-a0ce-4db8-a072-a661fbbb7296", "metadata": {}, "outputs": [], @@ -1702,29 +1596,28 @@ " A_bkg = 100,\n", " tau_bkg = 10, \n", " )\n", - "mi.limits['tau_bkg'] = (0, None)\n", - "mi.fixed[:] = True" + "mi.limits['tau_bkg'] = (0, None)" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 72, "id": "1e69a046-770f-4c38-9b91-0176bb0686a1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 13, + "execution_count": 72, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1748,28 +1641,139 @@ "id": "89f755f4-b780-43a6-a923-49662c4c701a", "metadata": {}, "source": [ - "First fit background therefore use only region outside of peaks.... " + "Unser Startparameter sind bereits nicht schlecht, aber weichen noch stark von den Daten ab. Bei komplexeren Daten und Fitmodellen lohnt es sich den fit schrittweise durchzuführen. Bevor wir uns den beiden Peaks widmen, welche uns eigentlich interessieren, sollten wir Versuchen den Untergrund etwas besser zu beschreiben. Um den Untergrund besser fitten zu können sollten wir erst den Fitbereich auf einen Energiebereich limitieren, in welchem der Untergrund dominiert. Dem Plot können wir entnehmen, dass dies für alle Werte unterhalb von 45 keV und oberhalb von 70 keV der Fall ist. Im allgemeinen können wir Wertebereiche in python mit Hilfe von „Masken“ selektieren. Eine Maske lässt sich wie folg erstellen:" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 73, + "id": "d53e8386-ea7f-43fa-b4fe-65229308a2ec", + "metadata": {}, + "outputs": [], + "source": [ + "mask_outside_of_peaks = (center < 45) | (center >= 70)" + ] + }, + { + "cell_type": "markdown", + "id": "84cef7a6-13a0-4ba8-ac40-eb86a54411dc", + "metadata": {}, + "source": [ + "Die Maske hat hierbei die Selbe länge wie unseren Daten…" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "d1d06116-d726-4163-b414-6ccde6a19027", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(60, 60)" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(mask_outside_of_peaks), len(mask_outside_of_peaks)" + ] + }, + { + "cell_type": "markdown", + "id": "80db0ae0-5cbd-4db9-b184-610d77bf1c58", + "metadata": {}, + "source": [ + "… und beinhaltet Wahrheitswerte True und False, bzw. 1 und 0 mit welchen wir unsere Daten wie folgt selektieren können:" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "f24d19d8-3483-45b5-aee9-1d3f8755da22", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ True, True, True, True, True, True, True, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True]),\n", + " array([40.33333333, 41. , 41.66666667, 42.33333333, 43. ,\n", + " 43.66666667, 44.33333333, 70.33333333, 71. , 71.66666667,\n", + " 72.33333333, 73. , 73.66666667, 74.33333333, 75. ,\n", + " 75.66666667, 76.33333333, 77. , 77.66666667, 78.33333333,\n", + " 79. , 79.66666667]))" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mask_outside_of_peaks, center[mask_outside_of_peaks]" + ] + }, + { + "cell_type": "markdown", + "id": "5b5c07e7-1865-48f2-bd9e-0540661fd71e", + "metadata": {}, + "source": [ + "Wir können auch verschieden Masken mit Hilfe von Wahrheitsoperatoren kombinieren\n", + "\n", + "TODO add operators and examples +/*\n", + "\n", + " \n", + "Unsere Selektion können wir an unsere Kostenfunktion direkt übergeben. Außerdem müssen wir noch alle Fitparameter festhalten, welche nicht zum Untergrund beitragen. " + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "id": "3034bb22-0b96-498d-9736-ed9bb2189460", + "metadata": {}, + "outputs": [], + "source": [ + "ls.mask = (center < 45) | (center >= 70)\n", + "mi.fixed[:] = True" + ] + }, + { + "cell_type": "markdown", + "id": "77a664fd-513e-4c89-ba52-945b6f68512f", + "metadata": {}, + "source": [ + "Nun können wir nochmal unsere Funktion und Messwerte für den ausgewählten Bereich plotten…" + ] + }, + { + "cell_type": "code", + "execution_count": 77, "id": "81232354-a7b8-4e2a-9ac0-159ce0a03da4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 14, + "execution_count": 77, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1779,9 +1783,6 @@ } ], "source": [ - "ls.mask = (center < 45) | (center >= 70)\n", - "\n", - "\n", "plt.errorbar(center[ls.mask], entries[ls.mask], np.sqrt(entries[ls.mask]), ls='', marker='.', label='Not masked')\n", "plt.errorbar(center[~ls.mask], entries[~ls.mask], np.sqrt(entries[~ls.mask]), ls='', marker='.', label='Masked')\n", "plt.xlabel('Energy [keV]')\n", @@ -1792,9 +1793,17 @@ "plt.legend()" ] }, + { + "cell_type": "markdown", + "id": "c5a8d247-5b71-42ae-9706-d16192374686", + "metadata": {}, + "source": [ + "… bevor wir die Minmierung starten, und das Resultat darstellen." + ] + }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 79, "id": "4a93a1c2-17df-46c2-b38e-9a509fe16fc7", "metadata": {}, "outputs": [ @@ -1918,7 +1927,7 @@ "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘" ] }, - "execution_count": 15, + "execution_count": 79, "metadata": {}, "output_type": "execute_result" } @@ -1930,7 +1939,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 80, "id": "3e90c2ed-c282-47c2-b0fe-3063f9545639", "metadata": {}, "outputs": [ @@ -1942,11 +1951,11 @@ " Migrad \n", " \n", " \n", - " FCN = 17.73 (χ²/ndof = 0.9) \n", - " Nfcn = 118 \n", + " FCN = 12.84 (χ²/ndof = 0.6) \n", + " Nfcn = 136 \n", " \n", " \n", - " EDM = 3.54e-05 (Goal: 0.0002) \n", + " EDM = 5.13e-05 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -2045,8 +2054,8 @@ " \n", " 6 \n", " A_bkg \n", - " 254 \n", - " 28 \n", + " 221 \n", + " 25 \n", " \n", " \n", " \n", @@ -2056,8 +2065,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 37.4 \n", - " 2.6 \n", + " 41.0 \n", + " 3.1 \n", " \n", " \n", " 0 \n", @@ -2150,8 +2159,8 @@ " 0 \n", " 0 \n", " 0 \n", - " 801 \n", - " -71 (-0.962) \n", + " 612 \n", + " -74 (-0.963) \n", " \n", " \n", " tau_bkg \n", @@ -2161,8 +2170,8 @@ " 0 \n", " 0 \n", " 0 \n", - " -71 (-0.962) \n", - " 6.79 \n", + " -74 (-0.963) \n", + " 9.69 \n", " \n", "" ], @@ -2170,8 +2179,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 17.73 (χ²/ndof = 0.9) │ Nfcn = 118 │\n", - "│ EDM = 3.54e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 12.84 (χ²/ndof = 0.6) │ Nfcn = 136 │\n", + "│ EDM = 5.13e-05 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -2188,8 +2197,8 @@ "│ 3 │ mu_p2 │ 60.0 │ 0.6 │ │ │ │ │ yes │\n", "│ 4 │ sigma_p1 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", "│ 5 │ sigma_p2 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", - "│ 6 │ A_bkg │ 254 │ 28 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 37.4 │ 2.6 │ │ │ 0 │ │ │\n", + "│ 6 │ A_bkg │ 221 │ 25 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 41.0 │ 3.1 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", @@ -2200,18 +2209,18 @@ "│ mu_p2 │ 0 0 0 0 0 0 0 0 │\n", "│ sigma_p1 │ 0 0 0 0 0 0 0 0 │\n", "│ sigma_p2 │ 0 0 0 0 0 0 0 0 │\n", - "│ A_bkg │ 0 0 0 0 0 0 801 -71 │\n", - "│ tau_bkg │ 0 0 0 0 0 0 -71 6.79 │\n", + "│ A_bkg │ 0 0 0 0 0 0 612 -74 │\n", + "│ tau_bkg │ 0 0 0 0 0 0 -74 9.69 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 16, + "execution_count": 80, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -2234,23 +2243,23 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 81, "id": "0b435af3-73ea-42de-9ab7-6a16ae9dbceb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 17, + "execution_count": 81, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -2274,19 +2283,51 @@ "id": "6def3e2b-5edf-48bb-99b8-2b7fdaae51c5", "metadata": {}, "source": [ - "\n", - "-> Remove mask....\n", - "\n", - "-> Update initla guess\n", - "\n", - "-> fixe again parameter" + "Das Resultat sieht bereits sehr gut aus. Nun können wir uns den eigentlichen Peaks widmen und starten im folgenden mit dem kleineren der Beiden. Zunächst sollten wir den maskierten Bereich entweder neu definieren oder komplett entfernen. " ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 82, + "id": "ebd77c40-6fcd-4881-bc1d-e3ca8ae0bf3b", + "metadata": {}, + "outputs": [], + "source": [ + "ls.mask = None" + ] + }, + { + "cell_type": "markdown", + "id": "7850ae53-ae2d-49aa-ac7b-dcef60a2dab7", + "metadata": {}, + "source": [ + "Außerdem können wir dem Plot entnehmen, dass durch den höheren Unterrund unsere Anfangsstartwerte nicht mehr ganz so gut passen diese können wir wie folgt aktualisieren:" + ] + }, + { + "cell_type": "code", + "execution_count": 83, "id": "823e05a0-516c-4d30-8dc7-5381e0e2e617", "metadata": {}, + "outputs": [], + "source": [ + "mi.values['A_p1'] = 700\n", + "mi.values['sigma_p1'] = 3" + ] + }, + { + "cell_type": "markdown", + "id": "8648bf00-901e-40dc-ada2-9a6b684e8f31", + "metadata": {}, + "source": [ + "Nun sollten wir alle Parameter wieder festhalten und nur die Parameter des ersten Peaks freigeben." + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "3c83690c-103e-47ff-b18f-13ac763ee87d", + "metadata": {}, "outputs": [ { "data": { @@ -2296,11 +2337,11 @@ " Migrad \n", " \n", " \n", - " FCN = 1290 (χ²/ndof = 22.6) \n", - " Nfcn = 186 \n", + " FCN = 1208 (χ²/ndof = 21.2) \n", + " Nfcn = 204 \n", " \n", " \n", - " EDM = 9.24e-06 (Goal: 0.0002) \n", + " EDM = 2.25e-05 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -2333,7 +2374,7 @@ " \n", " 0 \n", " A_p1 \n", - " 687 \n", + " 710 \n", " 13 \n", " \n", " \n", @@ -2355,7 +2396,7 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.51 \n", + " 53.49 \n", " 0.04 \n", " \n", " \n", @@ -2377,8 +2418,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.131 \n", - " 0.034 \n", + " 2.034 \n", + " 0.033 \n", " \n", " \n", " \n", @@ -2399,8 +2440,8 @@ " \n", " 6 \n", " A_bkg \n", - " 254 \n", - " 28 \n", + " 221 \n", + " 25 \n", " \n", " \n", " \n", @@ -2410,8 +2451,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 37.4 \n", - " 2.6 \n", + " 41.0 \n", + " 3.1 \n", " \n", " \n", " 0 \n", @@ -2432,11 +2473,11 @@ " \n", " \n", " A_p1 \n", - " 160 \n", + " 176 \n", " 0 \n", - " -0.0106 (-0.020) \n", + " -0.0009 \n", " 0 \n", - " -0.2349 (-0.540) \n", + " -0.2454 (-0.558) \n", " 0 \n", " 0 \n", " 0 \n", @@ -2454,11 +2495,11 @@ " \n", " \n", " mu_p1 \n", - " -0.0106 (-0.020) \n", + " -0.0009 \n", " 0.0000 \n", - " 0.00179 \n", + " 0.00155 \n", " 0.0000 \n", - " 0.0004 (0.275) \n", + " 0.0003 (0.223) \n", " 0.0000 \n", " 0.0000 \n", " 0.0000 \n", @@ -2476,11 +2517,11 @@ " \n", " \n", " sigma_p1 \n", - " -0.2349 (-0.540) \n", + " -0.2454 (-0.558) \n", " 0.0000 \n", - " 0.0004 (0.275) \n", + " 0.0003 (0.223) \n", " 0.0000 \n", - " 0.00118 \n", + " 0.0011 \n", " 0.0000 \n", " 0.0000 \n", " 0.0000 \n", @@ -2524,8 +2565,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 1290 (χ²/ndof = 22.6) │ Nfcn = 186 │\n", - "│ EDM = 9.24e-06 (Goal: 0.0002) │ │\n", + "│ FCN = 1208 (χ²/ndof = 21.2) │ Nfcn = 204 │\n", + "│ EDM = 2.25e-05 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -2536,36 +2577,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 687 │ 13 │ │ │ │ │ │\n", + "│ 0 │ A_p1 │ 710 │ 13 │ │ │ │ │ │\n", "│ 1 │ A_p2 │ 1.400e3 │ 0.014e3 │ │ │ │ │ yes │\n", - "│ 2 │ mu_p1 │ 53.51 │ 0.04 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.49 │ 0.04 │ │ │ │ │ │\n", "│ 3 │ mu_p2 │ 60.0 │ 0.6 │ │ │ │ │ yes │\n", - "│ 4 │ sigma_p1 │ 2.131 │ 0.034 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.034 │ 0.033 │ │ │ │ │ │\n", "│ 5 │ sigma_p2 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", - "│ 6 │ A_bkg │ 254 │ 28 │ │ │ │ │ yes │\n", - "│ 7 │ tau_bkg │ 37.4 │ 2.6 │ │ │ 0 │ │ yes │\n", + "│ 6 │ A_bkg │ 221 │ 25 │ │ │ │ │ yes │\n", + "│ 7 │ tau_bkg │ 41.0 │ 3.1 │ │ │ 0 │ │ yes │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 160 0 -0.0106 0 -0.2349 0 0 0 │\n", + "│ A_p1 │ 176 0 -0.0009 0 -0.2454 0 0 0 │\n", "│ A_p2 │ 0 0 0.0000 0 0.0000 0 0 0 │\n", - "│ mu_p1 │ -0.0106 0.0000 0.00179 0.0000 0.0004 0.0000 0.0000 0.0000 │\n", + "│ mu_p1 │ -0.0009 0.0000 0.00155 0.0000 0.0003 0.0000 0.0000 0.0000 │\n", "│ mu_p2 │ 0 0 0.0000 0 0.0000 0 0 0 │\n", - "│ sigma_p1 │ -0.2349 0.0000 0.0004 0.0000 0.00118 0.0000 0.0000 0.0000 │\n", + "│ sigma_p1 │ -0.2454 0.0000 0.0003 0.0000 0.0011 0.0000 0.0000 0.0000 │\n", "│ sigma_p2 │ 0 0 0.0000 0 0.0000 0 0 0 │\n", "│ A_bkg │ 0 0 0.0000 0 0.0000 0 0 0 │\n", "│ tau_bkg │ 0 0 0.0000 0 0.0000 0 0 0 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 18, + "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -2575,9 +2616,6 @@ } ], "source": [ - "ls.mask = None\n", - "mi.values['A_p1'] = 700\n", - "mi.values['sigma_p1'] = 3\n", "mi.fixed[:] = True\n", "mi.fixed[['A_p1', 'mu_p1', 'sigma_p1']] = False\n", "mi.migrad()" @@ -2588,12 +2626,12 @@ "id": "34df75bf-3750-4186-ae12-4f6bb9e49931", "metadata": {}, "source": [ - "Now lets do last peak:" + "Jetzt wiederholen wir das ganze für den zweiten Peak…" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 85, "id": "264a9891-423c-479a-8906-c048aac2fd2e", "metadata": {}, "outputs": [ @@ -2605,11 +2643,11 @@ " Migrad \n", " \n", " \n", - " FCN = 95.17 (χ²/ndof = 1.7) \n", - " Nfcn = 250 \n", + " FCN = 75.44 (χ²/ndof = 1.3) \n", + " Nfcn = 268 \n", " \n", " \n", - " EDM = 4.52e-06 (Goal: 0.0002) \n", + " EDM = 1.88e-06 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -2642,7 +2680,7 @@ " \n", " 0 \n", " A_p1 \n", - " 687 \n", + " 710 \n", " 13 \n", " \n", " \n", @@ -2653,7 +2691,7 @@ " \n", " 1 \n", " A_p2 \n", - " 1.140e3 \n", + " 1.162e3 \n", " 0.014e3 \n", " \n", " \n", @@ -2664,7 +2702,7 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.51 \n", + " 53.49 \n", " 0.04 \n", " \n", " \n", @@ -2675,8 +2713,8 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.599 \n", - " 0.032 \n", + " 60.615 \n", + " 0.031 \n", " \n", " \n", " \n", @@ -2686,8 +2724,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.131 \n", - " 0.034 \n", + " 2.034 \n", + " 0.033 \n", " \n", " \n", " \n", @@ -2697,8 +2735,8 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.725 \n", - " 0.028 \n", + " 2.671 \n", + " 0.027 \n", " \n", " \n", " \n", @@ -2708,8 +2746,8 @@ " \n", " 6 \n", " A_bkg \n", - " 254 \n", - " 28 \n", + " 221 \n", + " 25 \n", " \n", " \n", " \n", @@ -2719,8 +2757,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 37.4 \n", - " 2.6 \n", + " 41.0 \n", + " 3.1 \n", " \n", " \n", " 0 \n", @@ -2744,7 +2782,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0.000 \n", + " 0e-3 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2753,11 +2791,11 @@ " \n", " A_p2 \n", " 0 \n", - " 201 \n", + " 206 \n", " 0 \n", - " 0.0023 (0.005) \n", + " 5.0e-3 (0.011) \n", " 0 \n", - " -229.0e-3 (-0.587) \n", + " -223.8e-3 (-0.587) \n", " 0 \n", " 0 \n", " \n", @@ -2766,7 +2804,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0.000 \n", + " 0e-3 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2774,21 +2812,21 @@ " \n", " \n", " mu_p2 \n", - " 0.000 \n", - " 0.0023 (0.005) \n", - " 0.000 \n", - " 0.00104 \n", - " 0.000 \n", - " -0.2e-3 (-0.187) \n", - " 0.000 \n", - " 0.000 \n", + " 0e-3 \n", + " 5.0e-3 (0.011) \n", + " 0e-3 \n", + " 0.000981 \n", + " 0e-3 \n", + " -0.1e-3 (-0.181) \n", + " 0e-3 \n", + " 0e-3 \n", " \n", " \n", " sigma_p1 \n", " 0 \n", " 0 \n", " 0 \n", - " 0.000 \n", + " 0e-3 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2797,11 +2835,11 @@ " \n", " sigma_p2 \n", " 0 \n", - " -229.0e-3 (-0.587) \n", + " -223.8e-3 (-0.587) \n", " 0 \n", - " -0.2e-3 (-0.187) \n", + " -0.1e-3 (-0.181) \n", " 0 \n", - " 0.000758 \n", + " 0.000704 \n", " 0 \n", " 0 \n", " \n", @@ -2810,7 +2848,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0.000 \n", + " 0e-3 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2821,7 +2859,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0.000 \n", + " 0e-3 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2833,8 +2871,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 95.17 (χ²/ndof = 1.7) │ Nfcn = 250 │\n", - "│ EDM = 4.52e-06 (Goal: 0.0002) │ │\n", + "│ FCN = 75.44 (χ²/ndof = 1.3) │ Nfcn = 268 │\n", + "│ EDM = 1.88e-06 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -2845,36 +2883,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 687 │ 13 │ │ │ │ │ yes │\n", - "│ 1 │ A_p2 │ 1.140e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.51 │ 0.04 │ │ │ │ │ yes │\n", - "│ 3 │ mu_p2 │ 60.599 │ 0.032 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 2.131 │ 0.034 │ │ │ │ │ yes │\n", - "│ 5 │ sigma_p2 │ 2.725 │ 0.028 │ │ │ │ │ │\n", - "│ 6 │ A_bkg │ 254 │ 28 │ │ │ │ │ yes │\n", - "│ 7 │ tau_bkg │ 37.4 │ 2.6 │ │ │ 0 │ │ yes │\n", + "│ 0 │ A_p1 │ 710 │ 13 │ │ │ │ │ yes │\n", + "│ 1 │ A_p2 │ 1.162e3 │ 0.014e3 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.49 │ 0.04 │ │ │ │ │ yes │\n", + "│ 3 │ mu_p2 │ 60.615 │ 0.031 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.034 │ 0.033 │ │ │ │ │ yes │\n", + "│ 5 │ sigma_p2 │ 2.671 │ 0.027 │ │ │ │ │ │\n", + "│ 6 │ A_bkg │ 221 │ 25 │ │ │ │ │ yes │\n", + "│ 7 │ tau_bkg │ 41.0 │ 3.1 │ │ │ 0 │ │ yes │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 0 0 0 0.000 0 0 0 0 │\n", - "│ A_p2 │ 0 201 0 0.0023 0 -229.0e-3 0 0 │\n", - "│ mu_p1 │ 0 0 0 0.000 0 0 0 0 │\n", - "│ mu_p2 │ 0.000 0.0023 0.000 0.00104 0.000 -0.2e-3 0.000 0.000 │\n", - "│ sigma_p1 │ 0 0 0 0.000 0 0 0 0 │\n", - "│ sigma_p2 │ 0 -229.0e-3 0 -0.2e-3 0 0.000758 0 0 │\n", - "│ A_bkg │ 0 0 0 0.000 0 0 0 0 │\n", - "│ tau_bkg │ 0 0 0 0.000 0 0 0 0 │\n", + "│ A_p1 │ 0 0 0 0e-3 0 0 0 0 │\n", + "│ A_p2 │ 0 206 0 5.0e-3 0 -223.8e-3 0 0 │\n", + "│ mu_p1 │ 0 0 0 0e-3 0 0 0 0 │\n", + "│ mu_p2 │ 0e-3 5.0e-3 0e-3 0.000981 0e-3 -0.1e-3 0e-3 0e-3 │\n", + "│ sigma_p1 │ 0 0 0 0e-3 0 0 0 0 │\n", + "│ sigma_p2 │ 0 -223.8e-3 0 -0.1e-3 0 0.000704 0 0 │\n", + "│ A_bkg │ 0 0 0 0e-3 0 0 0 0 │\n", + "│ tau_bkg │ 0 0 0 0e-3 0 0 0 0 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 19, + "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -2894,12 +2932,12 @@ "id": "32d67543-870f-4bd9-bba4-2d01086c671a", "metadata": {}, "source": [ - "And now do everything one last time:" + "Bevor wir ein letztes mal wieder alle Parameter freigeben und einen letzten fit durchführen. " ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 86, "id": "72d43004-cd80-418a-996a-f1e7a7133ce9", "metadata": {}, "outputs": [ @@ -2911,11 +2949,11 @@ " Migrad \n", " \n", " \n", - " FCN = 50.35 (χ²/ndof = 1.0) \n", - " Nfcn = 525 \n", + " FCN = 46.04 (χ²/ndof = 0.9) \n", + " Nfcn = 563 \n", " \n", " \n", - " EDM = 2.19e-05 (Goal: 0.0002) \n", + " EDM = 2.48e-06 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -2948,8 +2986,8 @@ " \n", " 0 \n", " A_p1 \n", - " 609 \n", - " 15 \n", + " 649 \n", + " 14 \n", " \n", " \n", " \n", @@ -2959,7 +2997,7 @@ " \n", " 1 \n", " A_p2 \n", - " 1.133e3 \n", + " 1.154e3 \n", " 0.014e3 \n", " \n", " \n", @@ -2970,8 +3008,8 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.13 \n", - " 0.08 \n", + " 53.25 \n", + " 0.06 \n", " \n", " \n", " \n", @@ -2981,8 +3019,8 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.35 \n", - " 0.06 \n", + " 60.46 \n", + " 0.05 \n", " \n", " \n", " \n", @@ -2992,8 +3030,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.00 \n", - " 0.06 \n", + " 1.95 \n", + " 0.05 \n", " \n", " \n", " \n", @@ -3003,7 +3041,7 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.92 \n", + " 2.79 \n", " 0.04 \n", " \n", " \n", @@ -3014,8 +3052,8 @@ " \n", " 6 \n", " A_bkg \n", - " 254 \n", - " 26 \n", + " 247 \n", + " 24 \n", " \n", " \n", " \n", @@ -3025,8 +3063,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 37.0 \n", - " 2.4 \n", + " 38.4 \n", + " 2.5 \n", " \n", " \n", " 0 \n", @@ -3047,91 +3085,91 @@ " \n", " \n", " A_p1 \n", - " 213 \n", - " 0.03e3 (0.161) \n", - " 0.297 (0.268) \n", - " 0.2830 (0.343) \n", - " -0.1103 (-0.133) \n", - " -0.2594 (-0.400) \n", - " -0.02e3 (-0.048) \n", - " 2 (0.051) \n", + " 209 \n", + " 0.03e3 (0.146) \n", + " 0.181 (0.195) \n", + " 0.1766 (0.248) \n", + " -0.1726 (-0.241) \n", + " -0.1778 (-0.310) \n", + " -0.01e3 (-0.030) \n", + " 1 (0.030) \n", " \n", " \n", " A_p2 \n", - " 0.03e3 (0.161) \n", - " 191 \n", - " 0.030 (0.029) \n", - " 0.0711 (0.091) \n", - " -0.0264 (-0.034) \n", - " -0.2656 (-0.433) \n", + " 0.03e3 (0.146) \n", + " 201 \n", + " 0.049 (0.054) \n", + " 0.0705 (0.101) \n", + " -0.0074 (-0.010) \n", + " -0.2640 (-0.469) \n", " -0.01e3 (-0.030) \n", " 1 (0.027) \n", " \n", " \n", " mu_p1 \n", - " 0.297 (0.268) \n", - " 0.030 (0.029) \n", - " 0.00578 \n", - " 0.0032 (0.737) \n", - " 0.0029 (0.678) \n", - " -0.0023 (-0.674) \n", - " -0.134 (-0.068) \n", - " 0.016 (0.086) \n", + " 0.181 (0.195) \n", + " 0.049 (0.054) \n", + " 0.00413 \n", + " 0.0021 (0.679) \n", + " 0.0019 (0.605) \n", + " -0.0016 (-0.628) \n", + " -0.061 (-0.039) \n", + " 0.010 (0.060) \n", " \n", " \n", " mu_p2 \n", - " 0.2830 (0.343) \n", - " 0.0711 (0.091) \n", - " 0.0032 (0.737) \n", - " 0.0032 \n", - " 0.0020 (0.632) \n", - " -0.0017 (-0.695) \n", - " -0.1166 (-0.079) \n", - " 0.0101 (0.073) \n", + " 0.1766 (0.248) \n", + " 0.0705 (0.101) \n", + " 0.0021 (0.679) \n", + " 0.00242 \n", + " 0.0014 (0.581) \n", + " -0.0012 (-0.632) \n", + " -0.0656 (-0.055) \n", + " 0.0058 (0.046) \n", " \n", " \n", " sigma_p1 \n", - " -0.1103 (-0.133) \n", - " -0.0264 (-0.034) \n", - " 0.0029 (0.678) \n", - " 0.0020 (0.632) \n", - " 0.00323 \n", - " -0.0013 (-0.521) \n", - " -0.2869 (-0.194) \n", - " 0.0222 (0.160) \n", + " -0.1726 (-0.241) \n", + " -0.0074 (-0.010) \n", + " 0.0019 (0.605) \n", + " 0.0014 (0.581) \n", + " 0.00245 \n", + " -0.0009 (-0.473) \n", + " -0.2148 (-0.178) \n", + " 0.0178 (0.142) \n", " \n", " \n", " sigma_p2 \n", - " -0.2594 (-0.400) \n", - " -0.2656 (-0.433) \n", - " -0.0023 (-0.674) \n", - " -0.0017 (-0.695) \n", - " -0.0013 (-0.521) \n", - " 0.00197 \n", - " 0.1756 (0.152) \n", - " -0.0207 (-0.191) \n", + " -0.1778 (-0.310) \n", + " -0.2640 (-0.469) \n", + " -0.0016 (-0.628) \n", + " -0.0012 (-0.632) \n", + " -0.0009 (-0.473) \n", + " 0.00157 \n", + " 0.1254 (0.130) \n", + " -0.0171 (-0.170) \n", " \n", " \n", " A_bkg \n", - " -0.02e3 (-0.048) \n", " -0.01e3 (-0.030) \n", - " -0.134 (-0.068) \n", - " -0.1166 (-0.079) \n", - " -0.2869 (-0.194) \n", - " 0.1756 (0.152) \n", - " 676 \n", - " -61 (-0.966) \n", + " -0.01e3 (-0.030) \n", + " -0.061 (-0.039) \n", + " -0.0656 (-0.055) \n", + " -0.2148 (-0.178) \n", + " 0.1254 (0.130) \n", + " 593 \n", + " -59 (-0.965) \n", " \n", " \n", " tau_bkg \n", - " 2 (0.051) \n", + " 1 (0.030) \n", " 1 (0.027) \n", - " 0.016 (0.086) \n", - " 0.0101 (0.073) \n", - " 0.0222 (0.160) \n", - " -0.0207 (-0.191) \n", - " -61 (-0.966) \n", - " 5.97 \n", + " 0.010 (0.060) \n", + " 0.0058 (0.046) \n", + " 0.0178 (0.142) \n", + " -0.0171 (-0.170) \n", + " -59 (-0.965) \n", + " 6.37 \n", " \n", "" ], @@ -3139,8 +3177,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 50.35 (χ²/ndof = 1.0) │ Nfcn = 525 │\n", - "│ EDM = 2.19e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 46.04 (χ²/ndof = 0.9) │ Nfcn = 563 │\n", + "│ EDM = 2.48e-06 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -3151,36 +3189,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 609 │ 15 │ │ │ │ │ │\n", - "│ 1 │ A_p2 │ 1.133e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.13 │ 0.08 │ │ │ │ │ │\n", - "│ 3 │ mu_p2 │ 60.35 │ 0.06 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 2.00 │ 0.06 │ │ │ │ │ │\n", - "│ 5 │ sigma_p2 │ 2.92 │ 0.04 │ │ │ │ │ │\n", - "│ 6 │ A_bkg │ 254 │ 26 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 37.0 │ 2.4 │ │ │ 0 │ │ │\n", + "│ 0 │ A_p1 │ 649 │ 14 │ │ │ │ │ │\n", + "│ 1 │ A_p2 │ 1.154e3 │ 0.014e3 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.25 │ 0.06 │ │ │ │ │ │\n", + "│ 3 │ mu_p2 │ 60.46 │ 0.05 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 1.95 │ 0.05 │ │ │ │ │ │\n", + "│ 5 │ sigma_p2 │ 2.79 │ 0.04 │ │ │ │ │ │\n", + "│ 6 │ A_bkg │ 247 │ 24 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 38.4 │ 2.5 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 213 0.03e3 0.297 0.2830 -0.1103 -0.2594 -0.02e3 2 │\n", - "│ A_p2 │ 0.03e3 191 0.030 0.0711 -0.0264 -0.2656 -0.01e3 1 │\n", - "│ mu_p1 │ 0.297 0.030 0.00578 0.0032 0.0029 -0.0023 -0.134 0.016 │\n", - "│ mu_p2 │ 0.2830 0.0711 0.0032 0.0032 0.0020 -0.0017 -0.1166 0.0101 │\n", - "│ sigma_p1 │ -0.1103 -0.0264 0.0029 0.0020 0.00323 -0.0013 -0.2869 0.0222 │\n", - "│ sigma_p2 │ -0.2594 -0.2656 -0.0023 -0.0017 -0.0013 0.00197 0.1756 -0.0207 │\n", - "│ A_bkg │ -0.02e3 -0.01e3 -0.134 -0.1166 -0.2869 0.1756 676 -61 │\n", - "│ tau_bkg │ 2 1 0.016 0.0101 0.0222 -0.0207 -61 5.97 │\n", + "│ A_p1 │ 209 0.03e3 0.181 0.1766 -0.1726 -0.1778 -0.01e3 1 │\n", + "│ A_p2 │ 0.03e3 201 0.049 0.0705 -0.0074 -0.2640 -0.01e3 1 │\n", + "│ mu_p1 │ 0.181 0.049 0.00413 0.0021 0.0019 -0.0016 -0.061 0.010 │\n", + "│ mu_p2 │ 0.1766 0.0705 0.0021 0.00242 0.0014 -0.0012 -0.0656 0.0058 │\n", + "│ sigma_p1 │ -0.1726 -0.0074 0.0019 0.0014 0.00245 -0.0009 -0.2148 0.0178 │\n", + "│ sigma_p2 │ -0.1778 -0.2640 -0.0016 -0.0012 -0.0009 0.00157 0.1254 -0.0171 │\n", + "│ A_bkg │ -0.01e3 -0.01e3 -0.061 -0.0656 -0.2148 0.1254 593 -59 │\n", + "│ tau_bkg │ 1 1 0.010 0.0058 0.0178 -0.0171 -59 6.37 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 20, + "execution_count": 86, "metadata": {}, "output_type": "execute_result" }, { "data": 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", 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", 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" ] @@ -3194,25 +3232,33 @@ "mi.migrad()" ] }, + { + "cell_type": "markdown", + "id": "1510691d-6fbc-466f-a802-647bbc5e9fd2", + "metadata": {}, + "source": [ + "TODO: Add indivdiual components to the plot..." + ] + }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 95, "id": "067fbf6f-14c4-4a46-afb3-71753d06af23", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 21, + "execution_count": 95, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -3228,6 +3274,9 @@ "\n", "x = np.arange(40, 80, 0.1)\n", "plt.plot(x, fit_model(x, *mi.values), color='k', label='Best fit')\n", + "plt.plot(x, peak(x, *mi.values['A_p1', 'mu_p1', 'sigma_p1']), color='gray', ls='--')\n", + "plt.plot(x, peak(x, *mi.values['A_p2', 'mu_p2', 'sigma_p2']), color='gray', ls='-.')\n", + "plt.plot(x, bkg(x, *mi.values['A_bkg', 'tau_bkg']), color='gray')\n", "plt.legend()\n" ] }, @@ -3236,12 +3285,12 @@ "id": "7ef19633-0947-4568-b537-a1c69e42b7c2", "metadata": {}, "source": [ - "If we are happy with result we can also of course do everything in a single cell:" + "Das Ergebnis sieht sehr gut aus. Alle Kacheln sind grün und die Daten scheinen durch die Funktion gut beschrieben zu werden. Natürlich können wir auch das Gesamte Fitverfahren etwas kompakter in einer Zelle darstellen:" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 88, "id": "2311f135-8410-4f35-8d58-b9bcef0fed53", "metadata": {}, "outputs": [ @@ -3253,11 +3302,11 @@ " Migrad \n", " \n", " \n", - " FCN = 50.35 (χ²/ndof = 1.0) \n", - " Nfcn = 525 \n", + " FCN = 46.04 (χ²/ndof = 0.9) \n", + " Nfcn = 563 \n", " \n", " \n", - " EDM = 2.19e-05 (Goal: 0.0002) \n", + " EDM = 2.48e-06 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -3290,8 +3339,8 @@ " \n", " 0 \n", " A_p1 \n", - " 609 \n", - " 15 \n", + " 649 \n", + " 14 \n", " \n", " \n", " \n", @@ -3301,7 +3350,7 @@ " \n", " 1 \n", " A_p2 \n", - " 1.133e3 \n", + " 1.154e3 \n", " 0.014e3 \n", " \n", " \n", @@ -3312,8 +3361,8 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.13 \n", - " 0.08 \n", + " 53.25 \n", + " 0.06 \n", " \n", " \n", " \n", @@ -3323,8 +3372,8 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.35 \n", - " 0.06 \n", + " 60.46 \n", + " 0.05 \n", " \n", " \n", " \n", @@ -3334,8 +3383,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.00 \n", - " 0.06 \n", + " 1.95 \n", + " 0.05 \n", " \n", " \n", " \n", @@ -3345,7 +3394,7 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.92 \n", + " 2.79 \n", " 0.04 \n", " \n", " \n", @@ -3356,8 +3405,8 @@ " \n", " 6 \n", " A_bkg \n", - " 254 \n", - " 26 \n", + " 247 \n", + " 24 \n", " \n", " \n", " \n", @@ -3367,8 +3416,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 37.0 \n", - " 2.4 \n", + " 38.4 \n", + " 2.5 \n", " \n", " \n", " 0 \n", @@ -3389,91 +3438,91 @@ " \n", " \n", " A_p1 \n", - " 213 \n", - " 0.03e3 (0.161) \n", - " 0.297 (0.268) \n", - " 0.2830 (0.343) \n", - " -0.1103 (-0.133) \n", - " -0.2594 (-0.400) \n", - " -0.02e3 (-0.048) \n", - " 2 (0.051) \n", + " 209 \n", + " 0.03e3 (0.146) \n", + " 0.181 (0.195) \n", + " 0.1766 (0.248) \n", + " -0.1726 (-0.241) \n", + " -0.1778 (-0.310) \n", + " -0.01e3 (-0.030) \n", + " 1 (0.030) \n", " \n", " \n", " A_p2 \n", - " 0.03e3 (0.161) \n", - " 191 \n", - " 0.030 (0.029) \n", - " 0.0711 (0.091) \n", - " -0.0264 (-0.034) \n", - " -0.2656 (-0.433) \n", + " 0.03e3 (0.146) \n", + " 201 \n", + " 0.049 (0.054) \n", + " 0.0705 (0.101) \n", + " -0.0074 (-0.010) \n", + " -0.2640 (-0.469) \n", " -0.01e3 (-0.030) \n", " 1 (0.027) \n", " \n", " \n", " mu_p1 \n", - " 0.297 (0.268) \n", - " 0.030 (0.029) \n", - " 0.00578 \n", - " 0.0032 (0.737) \n", - " 0.0029 (0.678) \n", - " -0.0023 (-0.674) \n", - " -0.134 (-0.068) \n", - " 0.016 (0.086) \n", + " 0.181 (0.195) \n", + " 0.049 (0.054) \n", + " 0.00413 \n", + " 0.0021 (0.679) \n", + " 0.0019 (0.605) \n", + " -0.0016 (-0.628) \n", + " -0.061 (-0.039) \n", + " 0.010 (0.060) \n", " \n", " \n", " mu_p2 \n", - " 0.2830 (0.343) \n", - " 0.0711 (0.091) \n", - " 0.0032 (0.737) \n", - " 0.0032 \n", - " 0.0020 (0.632) \n", - " -0.0017 (-0.695) \n", - " -0.1166 (-0.079) \n", - " 0.0101 (0.073) \n", + " 0.1766 (0.248) \n", + " 0.0705 (0.101) \n", + " 0.0021 (0.679) \n", + " 0.00242 \n", + " 0.0014 (0.581) \n", + " -0.0012 (-0.632) \n", + " -0.0656 (-0.055) \n", + " 0.0058 (0.046) \n", " \n", " \n", " sigma_p1 \n", - " -0.1103 (-0.133) \n", - " -0.0264 (-0.034) \n", - " 0.0029 (0.678) \n", - " 0.0020 (0.632) \n", - " 0.00323 \n", - " -0.0013 (-0.521) \n", - " -0.2869 (-0.194) \n", - " 0.0222 (0.160) \n", + " -0.1726 (-0.241) \n", + " -0.0074 (-0.010) \n", + " 0.0019 (0.605) \n", + " 0.0014 (0.581) \n", + " 0.00245 \n", + " -0.0009 (-0.473) \n", + " -0.2148 (-0.178) \n", + " 0.0178 (0.142) \n", " \n", " \n", " sigma_p2 \n", - " -0.2594 (-0.400) \n", - " -0.2656 (-0.433) \n", - " -0.0023 (-0.674) \n", - " -0.0017 (-0.695) \n", - " -0.0013 (-0.521) \n", - " 0.00197 \n", - " 0.1756 (0.152) \n", - " -0.0207 (-0.191) \n", + " -0.1778 (-0.310) \n", + " -0.2640 (-0.469) \n", + " -0.0016 (-0.628) \n", + " -0.0012 (-0.632) \n", + " -0.0009 (-0.473) \n", + " 0.00157 \n", + " 0.1254 (0.130) \n", + " -0.0171 (-0.170) \n", " \n", " \n", " A_bkg \n", - " -0.02e3 (-0.048) \n", " -0.01e3 (-0.030) \n", - " -0.134 (-0.068) \n", - " -0.1166 (-0.079) \n", - " -0.2869 (-0.194) \n", - " 0.1756 (0.152) \n", - " 676 \n", - " -61 (-0.966) \n", + " -0.01e3 (-0.030) \n", + " -0.061 (-0.039) \n", + " -0.0656 (-0.055) \n", + " -0.2148 (-0.178) \n", + " 0.1254 (0.130) \n", + " 593 \n", + " -59 (-0.965) \n", " \n", " \n", " tau_bkg \n", - " 2 (0.051) \n", + " 1 (0.030) \n", " 1 (0.027) \n", - " 0.016 (0.086) \n", - " 0.0101 (0.073) \n", - " 0.0222 (0.160) \n", - " -0.0207 (-0.191) \n", - " -61 (-0.966) \n", - " 5.97 \n", + " 0.010 (0.060) \n", + " 0.0058 (0.046) \n", + " 0.0178 (0.142) \n", + " -0.0171 (-0.170) \n", + " -59 (-0.965) \n", + " 6.37 \n", " \n", "" ], @@ -3481,8 +3530,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 50.35 (χ²/ndof = 1.0) │ Nfcn = 525 │\n", - "│ EDM = 2.19e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 46.04 (χ²/ndof = 0.9) │ Nfcn = 563 │\n", + "│ EDM = 2.48e-06 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -3493,36 +3542,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 609 │ 15 │ │ │ │ │ │\n", - "│ 1 │ A_p2 │ 1.133e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.13 │ 0.08 │ │ │ │ │ │\n", - "│ 3 │ mu_p2 │ 60.35 │ 0.06 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 2.00 │ 0.06 │ │ │ │ │ │\n", - "│ 5 │ sigma_p2 │ 2.92 │ 0.04 │ │ │ │ │ │\n", - "│ 6 │ A_bkg │ 254 │ 26 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 37.0 │ 2.4 │ │ │ 0 │ │ │\n", + "│ 0 │ A_p1 │ 649 │ 14 │ │ │ │ │ │\n", + "│ 1 │ A_p2 │ 1.154e3 │ 0.014e3 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.25 │ 0.06 │ │ │ │ │ │\n", + "│ 3 │ mu_p2 │ 60.46 │ 0.05 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 1.95 │ 0.05 │ │ │ │ │ │\n", + "│ 5 │ sigma_p2 │ 2.79 │ 0.04 │ │ │ │ │ │\n", + "│ 6 │ A_bkg │ 247 │ 24 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 38.4 │ 2.5 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 213 0.03e3 0.297 0.2830 -0.1103 -0.2594 -0.02e3 2 │\n", - "│ A_p2 │ 0.03e3 191 0.030 0.0711 -0.0264 -0.2656 -0.01e3 1 │\n", - "│ mu_p1 │ 0.297 0.030 0.00578 0.0032 0.0029 -0.0023 -0.134 0.016 │\n", - "│ mu_p2 │ 0.2830 0.0711 0.0032 0.0032 0.0020 -0.0017 -0.1166 0.0101 │\n", - "│ sigma_p1 │ -0.1103 -0.0264 0.0029 0.0020 0.00323 -0.0013 -0.2869 0.0222 │\n", - "│ sigma_p2 │ -0.2594 -0.2656 -0.0023 -0.0017 -0.0013 0.00197 0.1756 -0.0207 │\n", - "│ A_bkg │ -0.02e3 -0.01e3 -0.134 -0.1166 -0.2869 0.1756 676 -61 │\n", - "│ tau_bkg │ 2 1 0.016 0.0101 0.0222 -0.0207 -61 5.97 │\n", + "│ A_p1 │ 209 0.03e3 0.181 0.1766 -0.1726 -0.1778 -0.01e3 1 │\n", + "│ A_p2 │ 0.03e3 201 0.049 0.0705 -0.0074 -0.2640 -0.01e3 1 │\n", + "│ mu_p1 │ 0.181 0.049 0.00413 0.0021 0.0019 -0.0016 -0.061 0.010 │\n", + "│ mu_p2 │ 0.1766 0.0705 0.0021 0.00242 0.0014 -0.0012 -0.0656 0.0058 │\n", + "│ sigma_p1 │ -0.1726 -0.0074 0.0019 0.0014 0.00245 -0.0009 -0.2148 0.0178 │\n", + "│ sigma_p2 │ -0.1778 -0.2640 -0.0016 -0.0012 -0.0009 0.00157 0.1254 -0.0171 │\n", + "│ A_bkg │ -0.01e3 -0.01e3 -0.061 -0.0656 -0.2148 0.1254 593 -59 │\n", + "│ tau_bkg │ 1 1 0.010 0.0058 0.0178 -0.0171 -59 6.37 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 22, + "execution_count": 88, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -3575,14 +3624,19 @@ "id": "b2d4c8e9-da2c-489e-9b2f-de24f042c341", "metadata": {}, "source": [ - "When does a fit fit?\n", - "\n", - "-> Fit residuals..." + " # Wann fittet ein Fit?\n", + "Nach dem wir nun unser Model an unsere Daten angepasst haben stellt sich die Frage: „Spiegelt unser Model unsere Daten gut wider?“. Um diese Frage beantworten zu könne gibt es verschiedene Möglichkeiten, welche wir uns im Folgenden etwas näher angucken wollen. \n", + "## Fit Residuan: \n", + "Schauen wir uns zunächst noch einmal an, wie das Chi-Quadrat definiert ist:\n", + "$$$$\n", + "Wir minimieren den Abstand zwischen einem Messwert und unserer Model und Gewichten diesen mit den Unsicherheiten unserer Messwerte. Fitresiduan spiegeln genau dies wider. Sie sind definiert als \n", + "$$$$\n", + "Für unseren Fit sehen sie wie folgt aus. \n" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 89, "id": "30cafddc-ea17-4158-82cc-f132dee2c8de", "metadata": {}, "outputs": [ @@ -3592,13 +3646,13 @@ "Text(0, 0.5, 'Residuals [$\\\\sigma$]')" ] }, - "execution_count": 23, + "execution_count": 89, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -3620,12 +3674,12 @@ "id": "d0ef61ca-afc5-472d-8e8e-b4726ef2a3dd", "metadata": {}, "source": [ - "Make a nice combined plot:" + "Als einzelner Plot sind sie noch nicht sehr informative. Hilfreicher ist es bereits sofern wir die Residuanen zusammen mit unseren Daten und Fitmodel darstellen. " ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 96, "id": "d9fbe83b-3146-4d72-89a4-084c29752e24", "metadata": {}, "outputs": [ @@ -3633,13 +3687,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "/tmp/jobs/29211635/ipykernel_829/3494681880.py:7: UserWarning: The figure layout has changed to tight\n", + "/tmp/jobs/29593351/ipykernel_11778/53208542.py:7: UserWarning: The figure layout has changed to tight\n", " fig_fit.tight_layout()\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -3660,6 +3714,10 @@ "\n", "main_axis.errorbar(center, entries, np.sqrt(entries), ls='', marker='.', color='k')\n", "\n", + "main_axis.plot(x, peak(x, *mi.values['A_p1', 'mu_p1', 'sigma_p1']), color='gray', ls='--')\n", + "main_axis.plot(x, peak(x, *mi.values['A_p2', 'mu_p2', 'sigma_p2']), color='gray', ls='-.')\n", + "main_axis.plot(x, bkg(x, *mi.values['A_bkg', 'tau_bkg']), color='gray')\n", + "\n", "x = np.arange(40, 80, 0.1)\n", "main_axis.plot(x, fit_model(x, *mi.values), color='purple', label='Best fit')\n", "main_axis.legend()\n", @@ -3688,14 +3746,30 @@ "id": "dbe65a21-572e-4618-bcd8-78f13e945e8a", "metadata": {}, "source": [ - "If fit is \"good\" ~ every 3rd point should be beyond 1 sigma residual band.... Normal distribution one sigma 68 % .... etc.\n", - "\n", - "If residuals show systematic behavior model is wrong:" + "Sofern wir einen unser Fitmodel unsere Daten gut widerspiegelt erwarten wir, dass die Residuen sich Gaußförmig zufällig um den Wert 0 herum verteilen. Dies folgt direkt aus der Annahme, dass de Unsicherheiten unserer Messwerte sich durch eine Gaußverteilung darstellen lassen. Dies können wir direkt überprüfen, sofern wir unsere Residuanen in ein Histogramm eintragen. " ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 91, + "id": "05e24224-66f7-45ed-99c6-f6d257e2c779", + "metadata": {}, + "outputs": [], + "source": [ + "#TODO: Add histogram of residuals" + ] + }, + { + "cell_type": "markdown", + "id": "08579cdf-3b28-4ea2-9c61-6ae62974af51", + "metadata": {}, + "source": [ + "Zeigen unsere Residuen eine Struktur oder ein systematisches Verhalten deutet dies auf einen ungenauen Fit oder ein falsches Fitmodel hin. Dies ist im folgenden gezeigt. " + ] + }, + { + "cell_type": "code", + "execution_count": 54, "id": "850870af-e546-4d95-b9de-8a4e7b61c241", "metadata": {}, "outputs": [ @@ -3703,13 +3777,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "/tmp/jobs/29211635/ipykernel_829/4141622746.py:10: UserWarning: The figure layout has changed to tight\n", + "/tmp/jobs/29593351/ipykernel_11778/4141622746.py:10: UserWarning: The figure layout has changed to tight\n", " fig_fit.tight_layout()\n" ] }, { "data": { - "image/png": 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", + "image/png": 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" ] @@ -3764,6 +3838,8 @@ "id": "48e95a88-0742-4221-a716-17dacfc02823", "metadata": {}, "source": [ + "Zusätzlich zu den Fit Residuan bietet das $\\chi^2$ selbst einen Weg um die „goodness-of-fit“ unseres Model bestimmen zu können...\n", + "\n", "### Chi-Square:" ] }, @@ -3809,7 +3885,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 55, "id": "fa85a19a-f066-4567-abb0-6283ae1bc90b", "metadata": {}, "outputs": [ @@ -3821,11 +3897,11 @@ " Migrad \n", " \n", " \n", - " FCN = 50.35 (χ²/ndof = 1.0) \n", - " Nfcn = 525 \n", + " FCN = 71.34 (χ²/ndof = 1.4) \n", + " Nfcn = 517 \n", " \n", " \n", - " EDM = 2.19e-05 (Goal: 0.0002) \n", + " EDM = 1.63e-06 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -3858,8 +3934,8 @@ " \n", " 0 \n", " A_p1 \n", - " 609 \n", - " 15 \n", + " 627 \n", + " 14 \n", " \n", " \n", " \n", @@ -3869,7 +3945,7 @@ " \n", " 1 \n", " A_p2 \n", - " 1.133e3 \n", + " 1.142e3 \n", " 0.014e3 \n", " \n", " \n", @@ -3880,8 +3956,8 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.13 \n", - " 0.08 \n", + " 53.38 \n", + " 0.09 \n", " \n", " \n", " \n", @@ -3891,7 +3967,7 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.35 \n", + " 60.50 \n", " 0.06 \n", " \n", " \n", @@ -3902,7 +3978,7 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.00 \n", + " 2.18 \n", " 0.06 \n", " \n", " \n", @@ -3913,7 +3989,7 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.92 \n", + " 2.76 \n", " 0.04 \n", " \n", " \n", @@ -3924,8 +4000,8 @@ " \n", " 6 \n", " A_bkg \n", - " 254 \n", - " 26 \n", + " 222 \n", + " 23 \n", " \n", " \n", " \n", @@ -3935,8 +4011,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 37.0 \n", - " 2.4 \n", + " 40.1 \n", + " 2.9 \n", " \n", " \n", " 0 \n", @@ -3957,91 +4033,91 @@ " \n", " \n", " A_p1 \n", - " 213 \n", - " 0.03e3 (0.161) \n", - " 0.297 (0.268) \n", - " 0.2830 (0.343) \n", - " -0.1103 (-0.133) \n", - " -0.2594 (-0.400) \n", - " -0.02e3 (-0.048) \n", - " 2 (0.051) \n", + " 196 \n", + " 0.03e3 (0.134) \n", + " 0.333 (0.273) \n", + " 0.292 (0.344) \n", + " -0.081 (-0.092) \n", + " -0.2462 (-0.397) \n", + " -0.01e3 (-0.046) \n", + " 2 (0.046) \n", " \n", " \n", " A_p2 \n", - " 0.03e3 (0.161) \n", - " 191 \n", - " 0.030 (0.029) \n", - " 0.0711 (0.091) \n", - " -0.0264 (-0.034) \n", - " -0.2656 (-0.433) \n", - " -0.01e3 (-0.030) \n", - " 1 (0.027) \n", + " 0.03e3 (0.134) \n", + " 202 \n", + " -0.064 (-0.052) \n", + " 0.010 (0.012) \n", + " -0.100 (-0.112) \n", + " -0.2153 (-0.342) \n", + " -0 (-0.009) \n", + " 0 (0.007) \n", " \n", " \n", " mu_p1 \n", - " 0.297 (0.268) \n", - " 0.030 (0.029) \n", - " 0.00578 \n", - " 0.0032 (0.737) \n", - " 0.0029 (0.678) \n", - " -0.0023 (-0.674) \n", - " -0.134 (-0.068) \n", - " 0.016 (0.086) \n", + " 0.333 (0.273) \n", + " -0.064 (-0.052) \n", + " 0.00757 \n", + " 0.004 (0.788) \n", + " 0.004 (0.736) \n", + " -0.0028 (-0.717) \n", + " -0.161 (-0.081) \n", + " 0.023 (0.094) \n", " \n", " \n", " mu_p2 \n", - " 0.2830 (0.343) \n", - " 0.0711 (0.091) \n", - " 0.0032 (0.737) \n", - " 0.0032 \n", - " 0.0020 (0.632) \n", - " -0.0017 (-0.695) \n", - " -0.1166 (-0.079) \n", - " 0.0101 (0.073) \n", + " 0.292 (0.344) \n", + " 0.010 (0.012) \n", + " 0.004 (0.788) \n", + " 0.00367 \n", + " 0.003 (0.689) \n", + " -0.0020 (-0.736) \n", + " -0.135 (-0.097) \n", + " 0.015 (0.088) \n", " \n", " \n", " sigma_p1 \n", - " -0.1103 (-0.133) \n", - " -0.0264 (-0.034) \n", - " 0.0029 (0.678) \n", - " 0.0020 (0.632) \n", - " 0.00323 \n", - " -0.0013 (-0.521) \n", - " -0.2869 (-0.194) \n", - " 0.0222 (0.160) \n", + " -0.081 (-0.092) \n", + " -0.100 (-0.112) \n", + " 0.004 (0.736) \n", + " 0.003 (0.689) \n", + " 0.00396 \n", + " -0.0016 (-0.571) \n", + " -0.302 (-0.208) \n", + " 0.031 (0.173) \n", " \n", " \n", " sigma_p2 \n", - " -0.2594 (-0.400) \n", - " -0.2656 (-0.433) \n", - " -0.0023 (-0.674) \n", - " -0.0017 (-0.695) \n", - " -0.0013 (-0.521) \n", - " 0.00197 \n", - " 0.1756 (0.152) \n", - " -0.0207 (-0.191) \n", + " -0.2462 (-0.397) \n", + " -0.2153 (-0.342) \n", + " -0.0028 (-0.717) \n", + " -0.0020 (-0.736) \n", + " -0.0016 (-0.571) \n", + " 0.00196 \n", + " 0.1500 (0.147) \n", + " -0.0229 (-0.181) \n", " \n", " \n", " A_bkg \n", - " -0.02e3 (-0.048) \n", - " -0.01e3 (-0.030) \n", - " -0.134 (-0.068) \n", - " -0.1166 (-0.079) \n", - " -0.2869 (-0.194) \n", - " 0.1756 (0.152) \n", - " 676 \n", - " -61 (-0.966) \n", + " -0.01e3 (-0.046) \n", + " -0 (-0.009) \n", + " -0.161 (-0.081) \n", + " -0.135 (-0.097) \n", + " -0.302 (-0.208) \n", + " 0.1500 (0.147) \n", + " 530 \n", + " -64 (-0.966) \n", " \n", " \n", " tau_bkg \n", - " 2 (0.051) \n", - " 1 (0.027) \n", - " 0.016 (0.086) \n", - " 0.0101 (0.073) \n", - " 0.0222 (0.160) \n", - " -0.0207 (-0.191) \n", - " -61 (-0.966) \n", - " 5.97 \n", + " 2 (0.046) \n", + " 0 (0.007) \n", + " 0.023 (0.094) \n", + " 0.015 (0.088) \n", + " 0.031 (0.173) \n", + " -0.0229 (-0.181) \n", + " -64 (-0.966) \n", + " 8.17 \n", " \n", "" ], @@ -4049,8 +4125,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 50.35 (χ²/ndof = 1.0) │ Nfcn = 525 │\n", - "│ EDM = 2.19e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 71.34 (χ²/ndof = 1.4) │ Nfcn = 517 │\n", + "│ EDM = 1.63e-06 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -4061,36 +4137,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 609 │ 15 │ │ │ │ │ │\n", - "│ 1 │ A_p2 │ 1.133e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.13 │ 0.08 │ │ │ │ │ │\n", - "│ 3 │ mu_p2 │ 60.35 │ 0.06 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 2.00 │ 0.06 │ │ │ │ │ │\n", - "│ 5 │ sigma_p2 │ 2.92 │ 0.04 │ │ │ │ │ │\n", - "│ 6 │ A_bkg │ 254 │ 26 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 37.0 │ 2.4 │ │ │ 0 │ │ │\n", + "│ 0 │ A_p1 │ 627 │ 14 │ │ │ │ │ │\n", + "│ 1 │ A_p2 │ 1.142e3 │ 0.014e3 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.38 │ 0.09 │ │ │ │ │ │\n", + "│ 3 │ mu_p2 │ 60.50 │ 0.06 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.18 │ 0.06 │ │ │ │ │ │\n", + "│ 5 │ sigma_p2 │ 2.76 │ 0.04 │ │ │ │ │ │\n", + "│ 6 │ A_bkg │ 222 │ 23 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 40.1 │ 2.9 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 213 0.03e3 0.297 0.2830 -0.1103 -0.2594 -0.02e3 2 │\n", - "│ A_p2 │ 0.03e3 191 0.030 0.0711 -0.0264 -0.2656 -0.01e3 1 │\n", - "│ mu_p1 │ 0.297 0.030 0.00578 0.0032 0.0029 -0.0023 -0.134 0.016 │\n", - "│ mu_p2 │ 0.2830 0.0711 0.0032 0.0032 0.0020 -0.0017 -0.1166 0.0101 │\n", - "│ sigma_p1 │ -0.1103 -0.0264 0.0029 0.0020 0.00323 -0.0013 -0.2869 0.0222 │\n", - "│ sigma_p2 │ -0.2594 -0.2656 -0.0023 -0.0017 -0.0013 0.00197 0.1756 -0.0207 │\n", - "│ A_bkg │ -0.02e3 -0.01e3 -0.134 -0.1166 -0.2869 0.1756 676 -61 │\n", - "│ tau_bkg │ 2 1 0.016 0.0101 0.0222 -0.0207 -61 5.97 │\n", + "│ A_p1 │ 196 0.03e3 0.333 0.292 -0.081 -0.2462 -0.01e3 2 │\n", + "│ A_p2 │ 0.03e3 202 -0.064 0.010 -0.100 -0.2153 -0 0 │\n", + "│ mu_p1 │ 0.333 -0.064 0.00757 0.004 0.004 -0.0028 -0.161 0.023 │\n", + "│ mu_p2 │ 0.292 0.010 0.004 0.00367 0.003 -0.0020 -0.135 0.015 │\n", + "│ sigma_p1 │ -0.081 -0.100 0.004 0.003 0.00396 -0.0016 -0.302 0.031 │\n", + "│ sigma_p2 │ -0.2462 -0.2153 -0.0028 -0.0020 -0.0016 0.00196 0.1500 -0.0229 │\n", + "│ A_bkg │ -0.01e3 -0 -0.161 -0.135 -0.302 0.1500 530 -64 │\n", + "│ tau_bkg │ 2 0 0.023 0.015 0.031 -0.0229 -64 8.17 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 26, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -4113,7 +4189,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 56, "id": "b0ad46ce-f541-40bb-898c-154ad5f94787", "metadata": {}, "outputs": [ @@ -4121,7 +4197,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "50.35308014445669 52 0.9683284643164748\n" + "71.34036100527231 52 1.37193001933216\n" ] } ], @@ -4146,7 +4222,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 57, "id": "8c11bc85-4e25-4d40-8397-257414d48a1f", "metadata": {}, "outputs": [], @@ -4157,7 +4233,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 58, "id": "76836863-109c-4e7c-989e-04b62ec4ca9d", "metadata": {}, "outputs": [ @@ -4167,13 +4243,13 @@ "Text(0, 0.5, '$\\\\chi^2(x)$')" ] }, - "execution_count": 29, + "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -4203,17 +4279,17 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 59, "id": "cfa9d88a-eada-49dd-8cb3-73c7dd345c08", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(0.538885338595922, 0.6898594516527083)" + "(0.038725580428877526, 3.286394945067883e-08)" ] }, - "execution_count": 30, + "execution_count": 59, "metadata": {}, "output_type": "execute_result" } @@ -4233,7 +4309,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 60, "id": "9b91ee55-ac17-4dd6-9827-48677f772096", "metadata": {}, "outputs": [ @@ -4245,11 +4321,11 @@ " Migrad \n", " \n", " \n", - " FCN = 261.3 (χ²/ndof = 4.9) \n", - " Nfcn = 344 \n", + " FCN = 247.8 (χ²/ndof = 4.7) \n", + " Nfcn = 296 \n", " \n", " \n", - " EDM = 2.08e-05 (Goal: 0.0002) \n", + " EDM = 5.03e-07 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -4282,7 +4358,7 @@ " \n", " 0 \n", " A_p1 \n", - " 618 \n", + " 635 \n", " 14 \n", " \n", " \n", @@ -4293,8 +4369,8 @@ " \n", " 1 \n", " A_p2 \n", - " 1.138e3 \n", - " 0.014e3 \n", + " 1.140e3 \n", + " 0.015e3 \n", " \n", " \n", " \n", @@ -4304,8 +4380,8 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.21 \n", - " 0.09 \n", + " 53.5 \n", + " 0.1 \n", " \n", " \n", " \n", @@ -4315,8 +4391,8 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.44 \n", - " 0.06 \n", + " 60.61 \n", + " 0.07 \n", " \n", " \n", " \n", @@ -4326,8 +4402,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.23 \n", - " 0.07 \n", + " 2.42 \n", + " 0.08 \n", " \n", " \n", " \n", @@ -4337,8 +4413,8 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.84 \n", - " 0.04 \n", + " 2.68 \n", + " 0.05 \n", " \n", " \n", " \n", @@ -4348,7 +4424,7 @@ " \n", " 6 \n", " c \n", - " 43.7 \n", + " 43.8 \n", " 1.3 \n", " \n", " \n", @@ -4369,73 +4445,73 @@ " \n", " \n", " A_p1 \n", - " 198 \n", - " 0.03e3 (0.142) \n", - " 0.315 (0.255) \n", - " 0.275 (0.319) \n", - " -0.139 (-0.147) \n", - " -0.2464 (-0.390) \n", - " 0.6 (0.032) \n", + " 182 \n", + " 0.02e3 (0.102) \n", + " 0.357 (0.258) \n", + " 0.290 (0.322) \n", + " -0.095 (-0.093) \n", + " -0.2364 (-0.388) \n", + " 0.2 (0.014) \n", " \n", " \n", " A_p2 \n", - " 0.03e3 (0.142) \n", - " 199 \n", - " -0.101 (-0.082) \n", - " -0.020 (-0.023) \n", - " -0.144 (-0.152) \n", - " -0.2100 (-0.331) \n", - " 0.2 (0.010) \n", + " 0.02e3 (0.102) \n", + " 217 \n", + " -0.324 (-0.214) \n", + " -0.151 (-0.153) \n", + " -0.304 (-0.273) \n", + " -0.1248 (-0.188) \n", + " 0.2 (0.012) \n", " \n", " \n", " mu_p1 \n", - " 0.315 (0.255) \n", - " -0.101 (-0.082) \n", - " 0.00773 \n", - " 0.004 (0.793) \n", - " 0.004 (0.746) \n", - " -0.0028 (-0.712) \n", - " 0.005 (0.040) \n", + " 0.357 (0.258) \n", + " -0.324 (-0.214) \n", + " 0.0105 \n", + " 0.006 (0.837) \n", + " 0.006 (0.803) \n", + " -0.0035 (-0.751) \n", + " 0.002 (0.017) \n", " \n", " \n", " mu_p2 \n", - " 0.275 (0.319) \n", - " -0.020 (-0.023) \n", - " 0.004 (0.793) \n", - " 0.00377 \n", - " 0.003 (0.692) \n", - " -0.0020 (-0.722) \n", - " -0.003 (-0.040) \n", + " 0.290 (0.322) \n", + " -0.151 (-0.153) \n", + " 0.006 (0.837) \n", + " 0.00446 \n", + " 0.004 (0.753) \n", + " -0.0023 (-0.761) \n", + " -0.005 (-0.058) \n", " \n", " \n", " sigma_p1 \n", - " -0.139 (-0.147) \n", - " -0.144 (-0.152) \n", - " 0.004 (0.746) \n", - " 0.003 (0.692) \n", - " 0.00449 \n", - " -0.0017 (-0.549) \n", - " -0.011 (-0.130) \n", + " -0.095 (-0.093) \n", + " -0.304 (-0.273) \n", + " 0.006 (0.803) \n", + " 0.004 (0.753) \n", + " 0.00569 \n", + " -0.0021 (-0.608) \n", + " -0.013 (-0.131) \n", " \n", " \n", " sigma_p2 \n", - " -0.2464 (-0.390) \n", - " -0.2100 (-0.331) \n", - " -0.0028 (-0.712) \n", - " -0.0020 (-0.722) \n", - " -0.0017 (-0.549) \n", - " 0.00202 \n", - " -0.0082 (-0.142) \n", + " -0.2364 (-0.388) \n", + " -0.1248 (-0.188) \n", + " -0.0035 (-0.751) \n", + " -0.0023 (-0.761) \n", + " -0.0021 (-0.608) \n", + " 0.00204 \n", + " -0.0064 (-0.112) \n", " \n", " \n", " c \n", - " 0.6 (0.032) \n", - " 0.2 (0.010) \n", - " 0.005 (0.040) \n", - " -0.003 (-0.040) \n", - " -0.011 (-0.130) \n", - " -0.0082 (-0.142) \n", - " 1.63 \n", + " 0.2 (0.014) \n", + " 0.2 (0.012) \n", + " 0.002 (0.017) \n", + " -0.005 (-0.058) \n", + " -0.013 (-0.131) \n", + " -0.0064 (-0.112) \n", + " 1.62 \n", " \n", "" ], @@ -4443,8 +4519,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 261.3 (χ²/ndof = 4.9) │ Nfcn = 344 │\n", - "│ EDM = 2.08e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 247.8 (χ²/ndof = 4.7) │ Nfcn = 296 │\n", + "│ EDM = 5.03e-07 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -4455,34 +4531,34 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 618 │ 14 │ │ │ │ │ │\n", - "│ 1 │ A_p2 │ 1.138e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.21 │ 0.09 │ │ │ │ │ │\n", - "│ 3 │ mu_p2 │ 60.44 │ 0.06 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 2.23 │ 0.07 │ │ │ │ │ │\n", - "│ 5 │ sigma_p2 │ 2.84 │ 0.04 │ │ │ │ │ │\n", - "│ 6 │ c │ 43.7 │ 1.3 │ │ │ 0 │ │ │\n", + "│ 0 │ A_p1 │ 635 │ 14 │ │ │ │ │ │\n", + "│ 1 │ A_p2 │ 1.140e3 │ 0.015e3 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.5 │ 0.1 │ │ │ │ │ │\n", + "│ 3 │ mu_p2 │ 60.61 │ 0.07 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.42 │ 0.08 │ │ │ │ │ │\n", + "│ 5 │ sigma_p2 │ 2.68 │ 0.05 │ │ │ │ │ │\n", + "│ 6 │ c │ 43.8 │ 1.3 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 c │\n", "├──────────┼────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 198 0.03e3 0.315 0.275 -0.139 -0.2464 0.6 │\n", - "│ A_p2 │ 0.03e3 199 -0.101 -0.020 -0.144 -0.2100 0.2 │\n", - "│ mu_p1 │ 0.315 -0.101 0.00773 0.004 0.004 -0.0028 0.005 │\n", - "│ mu_p2 │ 0.275 -0.020 0.004 0.00377 0.003 -0.0020 -0.003 │\n", - "│ sigma_p1 │ -0.139 -0.144 0.004 0.003 0.00449 -0.0017 -0.011 │\n", - "│ sigma_p2 │ -0.2464 -0.2100 -0.0028 -0.0020 -0.0017 0.00202 -0.0082 │\n", - "│ c │ 0.6 0.2 0.005 -0.003 -0.011 -0.0082 1.63 │\n", + "│ A_p1 │ 182 0.02e3 0.357 0.290 -0.095 -0.2364 0.2 │\n", + "│ A_p2 │ 0.02e3 217 -0.324 -0.151 -0.304 -0.1248 0.2 │\n", + "│ mu_p1 │ 0.357 -0.324 0.0105 0.006 0.006 -0.0035 0.002 │\n", + "│ mu_p2 │ 0.290 -0.151 0.006 0.00446 0.004 -0.0023 -0.005 │\n", + "│ sigma_p1 │ -0.095 -0.304 0.006 0.004 0.00569 -0.0021 -0.013 │\n", + "│ sigma_p2 │ -0.2364 -0.1248 -0.0035 -0.0023 -0.0021 0.00204 -0.0064 │\n", + "│ c │ 0.2 0.2 0.002 -0.005 -0.013 -0.0064 1.62 │\n", "└──────────┴────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 31, + "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -4526,7 +4602,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 61, "id": "4aa0f3d9-1d0b-4b4c-b816-2a0cb9ae9793", "metadata": {}, "outputs": [ @@ -4534,7 +4610,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "261.25768423416054 53 4.929390268569067\n" + "247.75609338750667 53 4.67464327146239\n" ] } ], @@ -4599,7 +4675,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 62, "id": "c3f1f1d4-4b84-45a1-9d23-4cbb8ba32c8c", "metadata": {}, "outputs": [], @@ -4610,14 +4686,14 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 63, "id": "c3b58808-f155-4194-b02e-e5f649cb86aa", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "6316d5dfd0e2480aaf38be2a289a691f", + "model_id": "f30ca0a8ec7f4a79a2bcb3743b624c3e", "version_major": 2, "version_minor": 0 }, @@ -4691,13 +4767,13 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 64, "id": "f41e0b38-56b6-4f2a-bc75-075f622a2068", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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", + "image/png": 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", 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" ] }, - "execution_count": 78, + "execution_count": 64, "metadata": {}, "output_type": "execute_result" } @@ -4737,7 +4813,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 65, "id": "fc58ee5c-308c-4479-9236-751d7f158fe5", "metadata": {}, "outputs": [ @@ -4745,8 +4821,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fraction of wrong model fits rejected: 0.9998\n", - "Fraction of good model fits rejected: 0.1130\n" + "Fraction of wrong model fits rejected: 0.9996\n", + "Fraction of good model fits rejected: 0.1010\n" ] } ], @@ -4757,7 +4833,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 66, "id": "d5f5efbe-ef8f-48b0-b27b-166f21cb5a06", "metadata": {}, "outputs": [ @@ -4765,8 +4841,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fraction of wrong model fits rejected: 0.9990\n", - "Fraction of good model fits rejected: 0.0572\n" + "Fraction of wrong model fits rejected: 0.9980\n", + "Fraction of good model fits rejected: 0.0526\n" ] } ],