mirror of
https://github.com/vale981/fpraktikum
synced 2025-03-06 10:01:41 -05:00
473 lines
154 KiB
Text
473 lines
154 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.hycell": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import pandas as pd\n",
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"from util import *\n",
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"from scipy.stats import binned_statistic"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"source": [
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"# Kennlinien PM3"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.hycell": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"131.75230566534913"
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]
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},
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"execution_count": 13,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"eta = .03\n",
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"rt = 506/60\n",
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"T = 1/eta**2*1/rt\n",
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"T"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 14,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.hycell": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"0.029514066805047763"
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]
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},
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"execution_count": 14,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"N=1148\n",
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"c=N/T\n",
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"dc=np.sqrt(N)/T\n",
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"dc/c"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"source": [
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"## Plot"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 33,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.hycell": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [
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{
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"data": {
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"image/png": [
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\n"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 360x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"%matplotlib inline\n",
|
|
"\n",
|
|
"T = 140\n",
|
|
"fig, ax = set_up_plot()\n",
|
|
"calib = pd.read_excel('../messungen/vorversuch_kennlinnien.xlsx',\n",
|
|
" sheet_name='Kennl')\n",
|
|
"ax.set_xlabel('Spannung $U_{3,HV}$ [V]')\n",
|
|
"ax.set_ylabel('Zaehlrate PM3 [$s^{-1}$]')\n",
|
|
"ax.errorbar(calib['U/V'], calib[\"N123\"]/T, yerr=np.sqrt(calib[\"N123\"])/T,\n",
|
|
" marker='.', label='Koinzidenzrate 123')\n",
|
|
"ax.axvline(2300, linestyle='dotted', color='gray', label='Gewaehlte Spannung')\n",
|
|
"ax.legend()\n",
|
|
"ax.set_xlim([calib['U/V'].min(), calib['U/V'].max()])\n",
|
|
"ax.set_ylim(0)\n",
|
|
"save_fig(fig, 'kennlinie_123', 'vorversuch')\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": [
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\n"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 360x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax = set_up_plot()\n",
|
|
"calib = pd.read_excel('../messungen/vorversuch_kennlinnien.xlsx',\n",
|
|
" sheet_name='Kennl')\n",
|
|
"ax.set_xlabel('Spannung $U_{3,HV}$ [V]')\n",
|
|
"ax.set_ylabel('Zaehlrate PM3 [$s^{-1}$]')\n",
|
|
"ax.errorbar(calib['U/V'], calib[\"N3\"]/T, yerr=np.sqrt(calib[\"N3\"])/T,\n",
|
|
" marker='.', label='Kennlinie PM3')\n",
|
|
"ax.legend()\n",
|
|
"ax.set_xlim([calib['U/V'].min(), calib['U/V'].max()])\n",
|
|
"ax.set_ylim(0)\n",
|
|
"save_fig(fig, 'kennlinie_pm3', 'vorversuch')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Peakhoehen der Photomultiplier"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"peaks = pd.read_excel('../messungen/vorversuch_kennlinnien.xlsx')\n",
|
|
"peak_labels = ['P1', 'P2', 'P3']\n",
|
|
"bin_offsets = [8, 15, 40]\n",
|
|
"scale_factors = [100, 10, 1]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"P1 & 0.20 & 3.00 & 0.72 & 0.60 & 1.31 \\\\\n",
|
|
"P2 & 0.20 & 11.40 & 4.44 & 3.60 & 1.89 \\\\\n",
|
|
"P3 & 3.60 & 51.20 & 9.30 & 7.00 & 1.06 \\\\\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"for peak in peak_labels: # nice and dirty :{}\n",
|
|
" cur = peaks[peak]\n",
|
|
" print(f\"{peak} & {cur.min():.2f} & {cur.max():.2f} & {cur.mean():.2f} & {cur.median():.2f} & {cur.mean()/cur.std():.2f} \\\\\\\\\")\n",
|
|
"peaks['dP1'] = calculate_peak_uncertainty(peaks[\"P1\"])\n",
|
|
"peaks['dP2'] = calculate_peak_uncertainty(peaks[\"P2\"])\n",
|
|
"peaks['dP3'] = calculate_peak_uncertainty(peaks[\"P3\"])\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 44,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": [
|
|
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\n"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 360x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": [
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\n"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 360x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": [
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\n"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 360x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for index, peak in enumerate(peak_labels):\n",
|
|
" plot_hist(peaks[peak], calculate_bins(peaks[peak]) + bin_offsets[index],\n",
|
|
" scale_factors[index],\n",
|
|
" save=(f'muon_{peak}_spec', 'vorversuch'))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"ename": "NameError",
|
|
"evalue": "name 'ROOT' is not defined",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[0;31m\u001b[0m",
|
|
"\u001b[0;31mNameError\u001b[0mTraceback (most recent call last)",
|
|
"\u001b[0;32m<ipython-input-9-71496d78a884>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mvec\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mROOT\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvector\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"float\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
|
|
"\u001b[0;31mNameError\u001b[0m: name 'ROOT' is not defined"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"vec = ROOT.std.vector(\"float\")(2)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"ename": "NameError",
|
|
"evalue": "name 'ROOT' is not defined",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[0;31m\u001b[0m",
|
|
"\u001b[0;31mNameError\u001b[0mTraceback (most recent call last)",
|
|
"\u001b[0;32m<ipython-input-10-a52ea60adccc>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mROOT\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mTMath\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mLandau\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvec\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
|
|
"\u001b[0;31mNameError\u001b[0m: name 'ROOT' is not defined"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"ROOT.TMath.Landau(vec)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"x = np.arange(0, 100, 0.01)\n",
|
|
"\n",
|
|
"y_landau = pylandau.landau(x)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.hycell": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"argv": [
|
|
"python",
|
|
"-m",
|
|
"ipykernel_launcher",
|
|
"-f",
|
|
"{connection_file}"
|
|
],
|
|
"display_name": "Python 3",
|
|
"env": null,
|
|
"interrupt_mode": "signal",
|
|
"language": "python",
|
|
"metadata": null,
|
|
"name": "python3"
|
|
},
|
|
"name": "Untitled.ipynb"
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|