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@nikodemusk
Created September 23, 2017 14:06
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mätning av acceleration, hastighet, läge och lufttryck under en hisstur uppåt"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" } else {\n",
" $('div.input').show();\n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"I en modern \"smartphone\" finns det sensorer som gör att den kan användas som mätinstrument både för rörelse \n",
"och lufttryck. Jag tog med min iPhone, med appen \n",
"<a href = \"https://itunes.apple.com/se/app/sensorlog/id388014573?mt=8\">SensorLog</a> \n",
"på en hisstur fyra våningar upp och ned i skolans hiss. Med hjälp av programmeringsspråket Python, med tillägget \n",
"<a href = \"http://www.numpy.org\">NumPy</a> för numerisk analys, så kunde jag hantera de närmare 1 700 mätvärdena \n",
"av respektive slag, skapa såväl rörelse- och tryckförändringsgrafer och göra beräkningar på dessa. \n",
"Resultaten av mätningarna stämde mycket väl överens med det som gick att kontrollera.\n",
"\n",
"<p>Mätningarna skedde den 24 april 2017. Upp- och nedturen var direkt följande på varandra. Det var regnigt ute, så de uppmätta lufttrycken var lägre än normaltrycket.\n",
"Alla värden mättes upp i frekvensen 50 Hz.\n",
"\n",
"<p>Nedan visas diagrammen samt relevant utdata. <a href=\"javascript:code_toggle()\">\n",
"Tryck här för att växla mellan enbart utdata och utdatan tillsammans med Python-kod</a>."
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import HTML\n",
"HTML('''<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" } else {\n",
" $('div.input').show();\n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"I en modern \"smartphone\" finns det sensorer som gör att den kan användas som mätinstrument både för rörelse \n",
"och lufttryck. Jag tog med min iPhone, med appen \n",
"<a href = \"https://itunes.apple.com/se/app/sensorlog/id388014573?mt=8\">SensorLog</a> \n",
"på en hisstur fyra våningar upp och ned i skolans hiss. Med hjälp av programmeringsspråket Python, med tillägget \n",
"<a href = \"http://www.numpy.org\">NumPy</a> för numerisk analys, så kunde jag hantera de närmare 1 700 mätvärdena \n",
"av respektive slag, skapa såväl rörelse- och tryckförändringsgrafer och göra beräkningar på dessa. \n",
"Resultaten av mätningarna stämde mycket väl överens med det som gick att kontrollera.\n",
"\n",
"<p>Mätningarna skedde den 24 april 2017. Upp- och nedturen var direkt följande på varandra. Det var regnigt ute, så de uppmätta lufttrycken var lägre än normaltrycket.\n",
"Alla värden mättes upp i frekvensen 50 Hz.\n",
"\n",
"<p>Nedan visas diagrammen samt relevant utdata. <a href=\"javascript:code_toggle()\">\n",
"Tryck här för att växla mellan enbart utdata och utdatan tillsammans med Python-kod</a>.''')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Mätningarna nedan visar hur acceleration, hastighet och tryck förändras under en hisstur **uppåt**. Motsvarande mätning för färden nedåt finns [finns här](http://cloudheaven.se)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"g = 9.81 # Värdet på tyngdaccelerationen i loggern"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np # För grundläggande matrisfunktioner\n",
"import matplotlib.pyplot as plt # För att kunna rita grafer\n",
"import matplotlib.pylab as pylab # För att kunna sätta storleken på graferna\n",
"from numpy import genfromtxt # För att kunna läsa från CSV-filer och lägga i matriser\n",
"from scipy.interpolate import UnivariateSpline # För att kunna integrera\n",
"from scipy import stats # För att kunna utföra linjär regression\n",
"from IPython.core.display import display, HTML # För att kunna skapa hyperlänkar som utdata"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Några inställningar för graferna\n",
"# Grafernas storlek\n",
"# (Man kan även sätta graferns storlek (t ex W = 15, H = 10) för varje plot med \"plt.figure(figsize=(15,10))\")\n",
"pylab.rcParams['figure.figsize'] = (15.0, 10.0)\n",
"plt.tick_params(labelsize=16)\n",
"\n",
"# Fonter i graferna\n",
"fontHeader = {'family': 'serif',\n",
" 'color': 'darkred',\n",
" 'weight': 'normal',\n",
" 'size': 18,\n",
" }\n",
"\n",
"fontAxis = {'family': 'serif',\n",
" 'color': 'black',\n",
" 'weight': 'normal',\n",
" 'size': 16,\n",
" }"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Tabeller skapas\n",
"# De tabeller som kommer att användas för att skapa graferna är\n",
"# * tVals (tiden i sekunder från start)\n",
"# * aVals (accelerationen vid respektive tidpunkt, korresponederar till tidpunkterna i tVals).\n",
"# * vVals (hastigheten vid respektive tidpunkt, korresponederar till tidpunkterna i tVals).\n",
"# * position (läget vid respektive tidpunkt, korresponederar till tidpunkterna i tVals).\n",
"# * pVals (trycket vid respektive tidpunkt, korresponederar till tidpunkterna i tVals).\n",
"# * tValsRed (en tabell som innehåller vart 100:e tidsvärde, ger bättre resultat för tryckmätningarna)\n",
"# * pValsRed (tryckvärden, korresponderar till tidpunkterna i tValsRed)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Läs in datan från fil och skapa tabeller av den\n",
"\n",
"ascent = genfromtxt('hiss_upp.csv', delimiter=',')\n",
"timestamps = ascent[1:,3] # Tidsmarkeringar, ligger fr o m rad 1 i kolumn 3.\n",
"accstamps = ascent[2:,6] # Acc-värden. Då tidsstämplarna kommer att göras om till intervall så blir antalet\n",
" # sådana ett mindre än stämplarna. Därav så startar tabellern på rad 2 istället för 1\n",
" # för att värdena ska bli lika många.\n",
"\n",
"pVals = ascent[2:,10] # Tryckvärden"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# I tabellen får vi enbart tidsstämplar, dessa måste göras om till en tidslängd från start.\n",
"# Dessa tidslängder läggs i en ny tabell. Antalet rader i denna tabell kommer att bli en mindre än timestamps-tabellen.\n",
"\n",
"tVals = []\n",
"timeZero = timestamps[0]\n",
" \n",
"for time in timestamps[1:]:\n",
" tVals.append(time - timeZero)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Nedanstående tabeller tar ett urval av tids- och tryckvärdena. Detta för att samplingsfrekvensen\n",
"# egentligen är för hög för att mäta tryckskillnader.\n",
"\n",
"tValsRed = [] # En \"reducerad\" tidstabell\n",
"for i in range(0, len(tVals), 100): # Tar vart 100:e värde\n",
" tValsRed.append(tVals[i])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pValsRed = [] # En \"reducerad\" tidstabell\n",
"for i in range(0, len(pVals), 100):\n",
" pValsRed.append(pVals[i])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Accelerationen från tabellen är uttryckt i g-enheter med postiv riktning nedåt.\n",
"# Jag vill ha accelerationen i m/s2 med positiv riktning uppåt.\n",
"# Dessutom kompenseras för det absoluta felet i accelerometervärdet, det visar sig att \"viloläget\"\n",
"# ligger på -0.995 g istället för -1.00 g genom att utgå från summan av accelerationen = 0 under hela hissturen.\n",
"\n",
"aVals = (accstamps - sum(accstamps) / len(accstamps)) * (-g)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Funktioner till mätvärdena måste approximeras för att kunna integreras,\n",
"# vilket måste göras för att få hastighet respektive läge.\n",
"\n",
"# Accelerationsfunktionen approximeras\n",
"acceleration = UnivariateSpline(tVals, aVals)\n",
"acceleration.set_smoothing_factor(1)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Hastigheten beräknas med hjälp av accelerationsfunktionen ovan, och vilkoret v(0) = 0.\n",
"\n",
"vVals = []\n",
"counter = 0\n",
"\n",
"for i in tVals:\n",
" if counter == 0:\n",
" vVals.append(acceleration.integral(tVals[counter], i))\n",
" else:\n",
" vVals.append(acceleration.integral(tVals[counter - 1], i) + vVals[counter - 1] )\n",
" counter = counter + 1\n",
" \n",
"# Hastighetsfunktionen approximeras\n",
"velocity = UnivariateSpline(tVals, vVals)\n",
"velocity.set_smoothing_factor(0.001)\n",
"\n",
"averageVelocity = sum(vVals) / len(vVals)\n",
"displacement = velocity.integral(0, tVals[len(tVals) - 1]) # Förflyttningen beräknas som integralen över tiden för hastighetsfunktionen"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Läget beräknas ur hastighetsfunktionen ovan med villkoret h(0) = 0\n",
"\n",
"position = []\n",
"counter = 0\n",
"\n",
"for i in tVals:\n",
" if counter == 0:\n",
" position.append(velocity.integral(tVals[counter], i))\n",
" else:\n",
" position.append(velocity.integral(tVals[counter - 1], i) + position[counter - 1] )\n",
" counter = counter + 1\n",
" \n",
"# Någon lägesfunktion behöver inte approximeras, vi ska enbart rita grafen."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Framförallt för trycket vill jag ha en tabell med färre mätvärden (jag väljer vart 100:e),\n",
"# därför att jag vill visa diskreta punkter istället för punkter som ligger så tätt att de ser ut som\n",
"# en sammanbunden linje. Däremot kommer jag att anpassa en rät linje till de punkter som skapats då\n",
"# hissen gick i konstant hastighet.\n",
"\n",
"positionRed = []\n",
"for i in range(0, len(position), 100):\n",
" positionRed.append(position[i])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# En hjälpfunktion för att kunna göra urval baserat på tid istället för indexnummer\n",
"# Den används för att kunna använda tidsintervall istället för indexnummer när trycket under turen analyseras.\n",
"\n",
"def timeSel(a, b, useReducedTable = 0):\n",
" indexMin = 0\n",
" indexMax = 0\n",
" numberOfValues = 0\n",
" timeSpan = []\n",
" \n",
" if useReducedTable == 0:\n",
" for theTime in tVals:\n",
" if theTime < a:\n",
" indexMin = indexMin + 1\n",
" if ((theTime <= b) and (theTime > a)):\n",
" indexMax = indexMax + 1\n",
" numberOfValues = numberOfValues + 1\n",
" \n",
" if useReducedTable == 1:\n",
" for theTime in tValsRed:\n",
" if theTime < a:\n",
" indexMin = indexMin + 1\n",
" if ((theTime <= b) and (theTime > a)):\n",
" indexMax = indexMax + 1\n",
" numberOfValues = numberOfValues + 1\n",
" \n",
" timeSpan.append(indexMin)\n",
" timeSpan.append(indexMax + indexMin)\n",
" timeSpan.append(numberOfValues)\n",
" \n",
" # Returnerar t ex vektorn [10, 110, 101], vilket innebär att den nedre intervallgränsen ligger på\n",
" # index 10, den övre på 110 och att antal värden är 101 stycken.\n",
" \n",
" return timeSpan\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rådata från accelerometern\n",
"Den enda data som appen SensorLog gav beträffande rörelsen var accelerationen. Den datan erhålls i multipler av tyngdaccelerationen, som är förinställd i appen enligt amerikansk standard till 9,81 m/s<sup>2</sup>."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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uBtCIeBbQc4mIAZ1H+ZD8T42ILesqtivpPXfyFY2IR9T92pVybT+mc3Z6PXBc\nff7NgfdSskVVldksdvJ5yjy94+rnZUm9HMRTuzz+T4GH1nNq9wL+gfEgYDr10/duPkhZN/W4RsSD\n4c45fsdRsmcfaGn7e8rcwGaBqr2BPVru/ynwgPr3M0ypavsXBnudvB/4DXBsc/h3vXzMy9sb1tVP\n/5HyPn1/s9JxI2KYsl7j2yf596DVOZTf2RHNgKwR8TDgqC5tzwNe1Yj4u7rtjpQ1U29pa/sz4H+A\nfRsRf1u3vRfdKw83M8C71K+n11OGqg56HkmLRHQuDChJm646gHstZVjebZQlCTZaaL0RsRelwuEj\nqswft933WUpW5V7AnygfZvdqrXhaf+h8F/BSyjIf11KqT+5BWQPyRuCAKrO9imKnPu9AGb721iqz\n0eH+XSkfkJ9Q9+fXwL9Qlhz4M2U5kYd26PdYlfmMRsQ3gCfV/fwDJXA+nBIU3Z1SjOT3lPXm3k5Z\nML1Z0OV3lPUdvwP8J2VY4lD79TUinkYJzh5CCdA+S8n+nQo8pbkMQd32IMpc0R3r5+1SSsbt1XU/\nPk5Z46+9H1dUmSO9ns+Wx3l6/bztTMnuHkPJLu1fn++jVeZ76rafqffvRJmj+Jj6ufkmcFjr0MmW\n+abH1M/DoZRhh7+lLN1wVkvbJZQlXF5FeU3+qn4e71v35XfAUVXmqXX7J9bXvz1lSZiqymxmp6as\n3743Ih4KfIsNn//W52sryuv/RZQCK2sor5+jq8w/tj3m8ylzPu9BCfL+scocq+97GGUY+YMpwdJ7\nqsxP1vf1fJ1Ume+s2z6QEvw9mfLa/z7wYUpm/8/1uR9QZd5at98DeAdl5MFfKO+pD1aZndZhbL2W\nRwL/zobvg/OrzFe0tftbSkD+KMr74WpKJd+Vdf9+UGXuWbe9O2WZj5dQhltfTXl/fpbx18G+VeYF\n9d+K91O+fLij7vdJwOmM/717SMvc2ndR1vRcAvw3sH+V+btBzyNpcTB4lKRJqj88vq/K7LUsgSap\nEfFWSgbl4VVZM3HeagaPVWa3dSZb2+5EHYBVmUfPaMem2ULuuyRpahy2KkkDaETcs+XmAZSMh6ao\nEbFXI+KYDncNU7IuV8xylyRJUhurrUrSYK6p5xPdF1hBGd6qqbsX8OZGxGiVeVFdmGY/SgGVQ6rM\ndXPbPUmS5LBVSRpAI+JKyryzG4F/qjLPmeMuLQp1QP4WyrIi96DMobwC+ECvOWRzrcvcvg9Xme/r\n0v5UylxVY8+VAAAgAElEQVTF+zA+l+5+CyFAXsh9lyRNncGjJEmSJKkn5zxKkiRJknoyeJQkSZIk\n9WTwKEmSJEnqyeBRkiRJktSTwaMkSZIkqSeDR0mSJElSTwaPkiRJkqSeDB4lSZIkST0ZPEqSJEmS\nejJ4lCRJkiT1ZPAoSZIkSerJ4FGSJEmS1JPBoyRJkiSpJ4NHSZIkSVJPBo+SJEmSpJ4MHiVJkiRJ\nPRk8SpIkSZJ6MniUJEmSJPVk8ChJkiRJ6sngUZIkSZLUk8GjJEmSJKmnzea6A4vdfe5zn9xpp53m\nuhuSJEmSdKdLLrnk95m59SDHGDzOsJ122olVq1bNdTckSZIk6U4R8atBj3HYqiRJkiSpJ4NHSZIk\nSVJPBo+SJEmSpJ4MHiVJkiRJPRk8SpIkSZJ6MniUJEmSJPVk8ChJkiRJ6sngUZIkSZLUk8GjJEmS\nJKkng0dJkiRJUk8Gj5IkSZKkngweJUmSJEk9GTxKkiRJknoyeJQkSZIk9WTwKEmSJEnqyeBRkiRJ\nktSTwaMkSZIkqSeDR0mSJElSTwaPkiRJkqSeDB4lSZIkST0ZPEqSJEmSejJ4lCRJkrShsTFYubJs\npdpmc90BSZIkSfPI2BisWAFr18LSpXDhhTA8PPt9GB2FkZHZf2x1ZfAoSZIkadzoaAkc160r29HR\n2Q3g5kPwqo4ctipJkiRp3MhICdqGhsp2ZGR2H79T8Kp5wcyjJEmSpHHDwyXbN1fDRpvBazPzONvB\nq7oyeJQkSZK0oeHhuRsqOtfBq7oyeJQkSZI0v8xl8KqunPMoSZIkSerJ4FGSJEmS1JPBoyRJkiSp\nJ4NHSZIkSVJPCzp4jIglEXFERFwTEbdFxI8i4kV9HjsUEUdFxNURsSYifh4Rh03Q9rCI+En9OKsj\n4oKIuO/0XpEkSZIkzU8LvdrqsUAFHAlcArwU+HxEPCczv9nj2I8BB9Tn+B7wVKAREXfPzOPa2n4W\n2At4L7AKuAfwFGDLaboOSZIkSZrXIjPnug+TEhHbAP8LHJ+Z72rZfyGwdWY+YoJjdwCuBo7NzKNb\n9p8IvBK4X2beVO97KXAm8PjMvGTQfi5fvjxXrVo16GGSJEmSNGMi4pLMXD7IMQt52OpewFJKYNfq\nTGC3iNh5gmN3p1z7OW37z6VkE5/Zsu+1wLcmEzhKkiRJ0mKxkIPHXYE1wC/a9l9Wb3eZ4Nh19XZt\n2/419fbhABGxOfB44LKIeH9E/D4ibo+I70XEHpPvuiRJkiQtLAs5eLw3cHNuPO72ppb7u7my3j6h\nbf9w27HLKNnNA4CnA68Gng/cCpwbEQOleSVJkiRpoZo3wWNE7BkR2cfP6FQfKzMvBy4AjomIvSLi\nnhHx90Cz2ur6ett8fjYHnpWZ/1YX4nkucDPwli7XcnBErIqIVTfeeONUuytJkiRJc24+VVu9GPib\nPtrdWm//ANwzIqIt+9jMGt7ExA4AzqLMcwT4E3A48AngNy2PkcDlmXl988DMvCUixoBHdzpxZp4C\nnAKlYE4f1yRJkiSpk7ExGB2FkREYHu7VWjNo3gSPmXkrcMUAh1wGbAE8kA3nPTbnOl7e4/GuA0Yi\nYntKwHkV0KzQ+p91m79ExC8nOM36Ce6TJEmSNBVjY7BiBaxdC0uXwoUXGkDOoXkzbHUSzgVuB17e\ntn9f4CeZeXU/J8nM6zPzJ8BtlGGrVwCjLU3+Ddg1Iu7X3BERfwU8EfjBpHsvSZIkzXdjY7ByZdnO\nxWOOjpbAcd26sh0dnb1+aCPzJvM4qMy8ISI+BBwREf8H/BB4CbAH8LzWtvXajztm5oNa9r2GEjBe\nDWwH7A88CViRma0ZxQbwCuCciHg3pUJrBdwVOH6GLk+SJEmaG82gbdkyOOyw2c36tWcaTzihbJu3\nR0Zm9vE1oQUbPNaOBG4B3kAJAK8E9snMr7e1G2Ljax0C3gbsSJlHOQo8ITMva22Umb+LiCcDHwRO\no2Rrx4CntLeVJEmSFrTW4C0C1q8vP82s30wHj+2ZxtWrS9DqnMd5YUEHj5m5Djiu/pmo3UiHfScC\nJ/b5OD+jVFiVJEmSFq/W4G3JEhgaKkHkbGX9RkY2zjQODxs0zhMLOniUJEmSNI3ag7cTTijZv9nK\n+g0Pm2mcxwweJUmSJBXzIXgz0zhvGTxKkiRJGmfwpi4W8lIdkiRJkqRZYvAoSZIkSerJ4FGSJEmS\n1JPBoyRJkiSpJ4NHSZIkSVJPBo+SJEmSpJ4MHiVJkiTNL2NjsHJl2WrecJ1HSZIkSdNrbAxGR2Fk\nZPA1I8fGYMUKWLsWli6FCy903cl5wuBRkiRJ0vSZavA3OlqOXbeubEdHDR7nCYetSpIkSZo+nYK/\nQYyMlKBzaKhsR0amv4+aFDOPkiRJkqZPM/hrZh4HDf6Gh0u2crLDXjVjDB4lSZIkTWyQOYzTEfwN\nDxs0zkMGj5IkSZK6m8wcRoO/Rck5j5IkSZK6m+ocRi0aBo+SJEmSurOAjWoOW5UkSZLU3WwVsJnK\n2pCaFQaPkiRJkiY22TmM/QaEU10bUrPC4FGSJEnS9BskIBwdhTVrYP36sh0dNXich5zzKEmSJGn6\nDVJoZ9myEjhC2S5bNhs91IAMHiVJkiRNv0EK7axeDUvq0GTJknJb847DViVJkiRtbKoFbJqFds44\no3fbkRHYYovxIa5WdJ2XDB4lSZIkbah1vuLQEBx0EOy33+SCyNNPL+c5/fTu8x5nq6KrpsRhq5Ik\nSZI21D5f8eSTSzA5Ntb/OcbG4OijSwGcfuY9Dg/DEUcYOM5jBo+SJEmSNtScrxhRbmf2Dv5aNTOX\nF1xQCuAsWeJw1EXA4FGSJEnShprDSA85pMxF7KfoTatm5rIZOO65p2s3LgLOeZQkSZK0seHh8rPf\nfhvOReynkE4zc9ksgHP00QaOi4DBoyRJkqTumkEkbFhIZ+nSyRfA6ScAnWq1V007g0dJkiRJ4yYK\n2toL6YyOdg/sWoPO9vOvWFEK6SxZAiedBAcf3LlNryBVs8rgUZIkSVLRK2hrH446SAGcZlB67bUl\ncFy/vvwceijstltp0wxaBwlSNWsMHiVJkiQV7UHbGWdsmIWc7HqM7etGNqu4QnmsM84YXw9y6VI4\n4YTJB6maMQaPkiRJkorWzOLQEJx2Gtxxx4ZZyG7DUSfSGpQCPPe58I1vlNtbbFH2tQatq1dPLkjV\njDJ4lCRJklS0ZhavvRZOPbX70NFBCtq0D3c9/PDy0zweNsw8tmY6NW9EZs51Hxa15cuX56pVq+a6\nG5IkSdJgJpr/2Ou+TkFlr2DT6qqzKiIuyczlgxxj5lGSJEnSxiaa39itoM1EQeVEmUQDxwXB4FGS\nJElSZ90Cvm5VV3sV3OlkMllMzQmDR0mSJEmD6ZaV7KfgTrszzoDbboPM/rOYmhMGj5IkSZIG1ykr\nOUjBHSgB4qc/XQJHgM02657FdK3HOWfwKEmSJGn6NIPKsbGNK6i2Gx0dX74jAg48sHMW07Ue5wWD\nR0mSJEkbmo65hhMV3GlqDxD322+w4zWrXKpjhrlUhyRJkhaU2Z5raFGcOeFSHZIkSZKmZibnGnYK\nFCdawkPzisGjJEmSpHEzNdfQ6qkLnsGjJEmStKlrzwjOxFxDq6cueAaPkiRJ0qasW0ZwkMCuGXwu\nWwarV3cOOtvXgLz22nKcAeSCYfAoSZIkbcqmmhFsBp9r1sD69bBkCWyxRedhqfvvD7/9LZxzTlkD\n8tOfhoMOKlVWDSLnPYNHSZIkaVM21TmOzeBz/fpye/36jYPQ1uxmRGmzfn0JWE8+uawH6RzIeW/J\nXHdAkiRJ0hxqznE89tjJBXDN4HNJHVosWbJxENqa3Vy/vgxbjSj3ZY4Hm5rXzDxKkiRJm7qpLJfR\nWmCn25zH9uzmCSfApZfCaafBHXdMb1VXzRiDR0mSJElT0wwUu1Vo7VbBdb/94IwzZq+fmhKDR0mS\nJEn9aV/So3V/rzUcu2U3Tz+9HOe8x3nPOY+SJEnSpm5sDFauLNuJ2qxYAUcdVbatbTtVbO3HZI/T\nnDDzKEmSJG3K+skawsRLevRbsbU9cznVSq+aVQaPkiRJ0qas33UeJwr0hodLEZwvfhFe9KLOx7eu\nB7lkCZx0Ehx8cOe5kJqXDB4lSZKkTVm/2b/2qqrNIabDwyUwPOywco7vfAd2223jQHB0tASOzTUe\nDz10vJ1B44Jg8ChJkiRtyrpVQu3WFjYe5tpP9nJkpGQc168vt9et657l1Lxk8ChJkiRt6gbJ/nUK\nFPvJXg4Pl6Gqhx5ajt1iC+c4LjALOniMiCXAW4FDgO2AK4F3Z+YX+zh2CHg7cBCwPXAtcFJmntDW\nLic4zRGZefwkuy9JkiQtPK2B4tAQfP/7cO21Zc7j6tUbZi/bC+QcfHAZqtpPlrPbsiCaMws6eASO\nBSrgSOAS4KXA5yPiOZn5zR7Hfgw4oD7H94CnAo2IuHtmHtfSrtMr9XXAvsBXp9Z9SZIkaYFpDnN9\n//vhq1+FL3+57N9iC7joog0Dx05VXCfKcjYDxmXLxudQTlQBVrNqwQaPEbENJXA8PjMb9e6LIuJB\nwPFA1+AxInYAXgUc2xIonh8RWwFHRsTHMvMmgMz8bofjzwRWZebl03dFkiRJ0gLy9a+Pz1+Ejec6\n9lvFtak12IwYL6zTz7GaFUvmugNTsBewFDizbf+ZwG4RsfMEx+5OufZz2vafC2wJPLPbgRHxJOCB\nwOmDdliSJElaFEZHNwwcYeO5js3hrUND/a3h2KzGum5d+Rka6v9YzYoFm3kEdgXWAL9o239Zvd0F\nuLrLsevq7dq2/Wvq7cMneNz96+P+pb9uSpIkSYvMyEgZprqm/vi8ww7wqEdt2GaQKq5Qhqo2A9JM\neOMb4Z73dM7jPLKQg8d7AzdnZntBm5ta7u/mynr7BODSlv3NV2XHYyNiS+DFwDcyc/Vg3ZUkSZLm\nqX6K07S3ufBCOOMM+NSn4Jprys8552w473GQKq6rV48v5bFkSQkcjzhiqlemaTRvgseI2BM4v4+m\n38rMkak8VmZeHhEXAMdExC8ZL5hzWN1kfZdDXwDcA/jMROePiIOBgwF22GGHqXRVkiRJmlndCtv0\n02Z0FO64Y7zdVOYnNrOZEy33oTk1b4JH4GLgb/pod2u9/QNwz4iItuxjM2t4ExM7ADiLMs8R4E/A\n4cAngN90OWY/4EY2niu5gcw8BTgFYPny5RMt9SFJkiTNrX4K23RrMzICm29e9sFgQV97JnPQYa6a\ndfMmeMzMW4ErBjjkMmALSvGa1nmPu9TbCSuhZuZ1wEhEbE8JOK8CHlHf/Z/t7SNiO+DpwImZefsA\n/ZQkSZLmr9Z1G7sFf93aNLOPZ5xRbu+3X39rN3ZbimOQYa6adfMmeJyEc4HbgZcDx7Ts3xf4SWZ2\nK5azgcy8Hrg+IoIybPUKYLRD032BIayyKkmSpMWkn4xftzbNYLBX0Nhs220pjjPOMOO4ACzY4DEz\nb4iIDwFHRMT/AT8EXgLsATyvtW1EXAjsmJkPatn3GuA2SkXW7ShVVJ8ErMjMTnMe9wN+nJmXdrhP\nkiRJWrj6yfi1rt/Y1GuuZKvWoa8wvhTH0BCcdlqZO9nPeTRnFmzwWDsSuAV4AyUAvBLYJzO/3tZu\niI2vdQh4G7AjZR7lKPCEzLysrR0R8WhgN6Cazs5LkiRJC0Z70Zz99+89V7LVyEgJFJvB45Il8MpX\nln+femr/59GcWTLXHZiKzFyXmcdl5o6ZuUVmPiIzv9Ch3Uhm7tS278TMfGhmbpmZ987MF3YKHOu2\nl2ZmZOYHZ+hSJEmSpPmtvWgOlCByaKi/QjnDw3DQQWXIKpQhqzvsUIa8DnIezZmFnnmUJEmSNJOa\n8xpvvrlkCzNLkLfffuWn2zzITvMX99sPTj99w8I7VlldMAweJUmSJHXWHKq6Zk3JFEaUDOEJJ4wH\nea3BXq81I7sFilZZXRAMHiVJkiQV7VnD5lDV9XU9yczys3p15+O7rQfZaU1HLTgGj5IkSdKmbKK1\nF5vrOzYzj0uWTDwvsdN6kL2ykVowDB4lSZKkTdVEay+OjsIRR4wPM122rGQcm4HjypUbz1HsNCx1\n5crBqrJONGdSc8rgUZIkSdpUtQ4zXbKkzGeM2DC72D7MtJ95ja23O2UjuzFLOa8t6KU6JEmSJE1B\nM7AbGoIttoATT4Rjj504aOs0r3Eiw8OlwM6KFRsW2oESLK5cWbaTObdmlZlHSZIkaVM1mWUy2jOJ\ny5Z1HsLaNDY2PpfyO9+B3XYbL6LTnmUcJEupWWfwKEmSJG3KBq1+2hpwthfZOeGE8XmRzXN2q8Da\naX/rHMuJ5lZqThg8SpIkSRpMM+BsLYazZg0cemgpuNM6X7FbNrHb/ua5nf847xg8SpIkSZqc1gAw\nogSRrdVam4Fgp6GxvYbMdstYas4YPEqSJEmanImGsLbOV+w2NHaiIbPLlpUKsJnOf5wnDB4lSZIk\nTV5rALjbbtOzRmOzyE5zCZH2Kq2aEwaPkiRJkiY2NtZfUNgpk9jvsa2aQ1bXry/DYVevnlS3Nb0M\nHiVJkiR11164plNF1X6P7bfojUt2zEsGj5IkSZK6ay1c062iartmtvHaaycuetMtKzmZ9Sc14wwe\nJUmSJHXXT0XVVq3ZxqEh2KwOOdoziL2ykoOuP6kZZ/AoSZIkqbt+K6o2tWYq16+H5z8fdt994wyi\nS3EsOAaPkiRJkiY2SEXVkZGScVy3riyzcc45cPjhG7d1XuOCY/AoSZIkqX+9hpMOD8NBB8HJJ5fg\n8Y47OmcVnde44Bg8SpIkSZpe++0Hp5/eO6vovMYFxeBRkiRJ0vQyq7goGTxKkiRJmn5mFRedJXPd\nAUmSJEnS/GfwKEmSJEnqyeBRkiRJktSTwaMkSZKkjY2NwcqVZSthwRxJkiRJ7cbGYMWK8aU2Lryw\n/+I3Y2NWWV2kDB4lSZIkbWh0tASO69aV7ehof4HgVIJOzXsOW5UkSZK0oZGREvwNDZXtyEh/x3UK\nOrVomHmUJEmStKHh4ZI1HHT4aTPobGYe+w06tSAYPEqSJEna2PDw4ENOJxt0akEweJQkSZI0fSYT\ndPbDQjxzzuBRkiRJ0vxmIZ55wYI5kiRJkvo3F+s/WohnXjDzKEmSJKk/c5UBtBDPvGDwKEmSJKk/\nk13/caosxDMvGDxKkiRJ6q61UM1cZgBnqhCP+mbwKEmSJKmzTsNUzQBusgweJUmSJHXWaZjqEUcY\nNG6irLYqSZIkqbPmMNWhIQvVyMyjJEmSpFrr/MbmHEOHqapm8ChJkiSp+zIcFqpRzWGrkiRJkjrP\nb5RaGDxKkiRJcn6jenLYqiRJkqT5Pb+xfS6m5oTBoyRJkqRiPs5vPOUUOPRQuOOOkhU96SQ4+OC5\n7tUmyWGrkiRJkuansTF43evg9tshswSQhx5a9mvWGTxKkiRJmp9GR2H9+g33rVtnMZ85YvAoSZIk\naX4aGYEttoCIcnvJknLbYj5zwjmPkiRJkjY0XwrUtBbxWbYMVq+e+z5twgweJUmSJI0bG4MVK8pa\nj0uXluBtrgNIg8V5wWGrkiRJksaNjpbAcd26snV+oWoGj5IkSdKmbGwMVq4cr2A6MlIyjkNDZev8\nQtX6GrYaEb+c5PlvyMwnTPJYSZIkSTOp2xDV5jxD5xeqRb9zHu8BfHUS53/yJI6RJEmSNBs6DVFt\nzjE0aFSbfoPHazPzwEFPHhGXDnqMJEmSpFnSHKLazDw6RFUT6Dd4nGwQaPAoSZIkzVcOUdUAIjPn\nug+L2vLly3PVqlVz3Q1JkiRJulNEXJKZywc5ZkFXW42IJRFxRERcExG3RcSPIuJFfR47FBFHRcTV\nEbEmIn4eEYd1abt/RFwSEX+KiBsj4vyI+LvpvRpJkiRpDrVXXZXaLOjgETgWOBo4EXgm8F3g8xHx\nrD6O/RjwDuBTwHOAzwONiHhHa6OIOBj4DPB94EXAq4ClwPkR8ehpuQpJkiRpLjWrrh51VNkaQKqD\nnsFjRDwwIi6KiF9GxIciYsuW+74/s92bsF/bABVwfGY2MvOizDwEuAg4vsexO1CCwJWZeVxmnp+Z\nbwc+ARwZEfduaX4AMJaZr6nbfYUSbC4B9pn+K5MkSZJmWaeqq1KbfjKPJwFfAl4MbA1cEBF3r+/b\nfKY61oe9KBnAM9v2nwnsFhE7T3Ds7pRrP6dt/7nAlpQsZtNS4E9t7W4FbmfhZ24lSZKk8aqrQ0NW\nXVVX/QQ/22bmRzPzksx8BXA+ZcjmXwFzWW1nV2AN8Iu2/ZfV210mOHZdvV3btn9NvX14y76PAXtG\nxCsj4p4RcT/KMNnbKUNeJUmSpIWtWXX12GPL1qqr6qCfpTru0nojM4+JiHXAecDdOx8yK+4N3Jwb\nl4u9qeX+bq6st09gw+VEmu+SO4/NzE9HBJQg8pP17t8CT8vMn02i35IkSdL8Mzxs0KgJ9ZN5/HlE\n7NG6IzOPowzxfNB0dSQi9oyI7ONndKqPlZmXAxcAx0TEXnVG8e+BZrXV9S39ej5l6O7JwJ7Ac4Gf\nAN+MiIfTQUQcHBGrImLVjTfeONXuSpIkSTPDCqsaQD+Zx1fQYXhqnYH8/DT25WLgb/pod2u9/QNw\nz4iItuxjM2t4ExM7ADiLEgRDmdd4OKVozm8AoqQcTwG+kJlvaB4YEecBV1Cqvf59+4kz85T6OJYv\nX+5CmpIkSZp/mhVW164t8xwdrqoeegaPmXnzBPdd3vx3RDyEMs/w+5l5/aAdycxbKQFZvy4DtgAe\nyIbzHptzHS/f6IgNH+86YCQitqcEnFcBj6jv/s96uy2wDfCDtmPXRsSP6C/YlSRJkuafThVWDR41\ngUlVC62Lx/yyuSZiRDyPMpTzS8AVEfHEaexjN+dSita8vG3/vsBPMvPqfk6Smddn5k+A2yjDVq8A\nRuu7/0AporN76zERsRR4FHDdZDsvSZIkzSkrrGpA/Qxb7eQVQIPxAjIrgZ9ShoL+HXAcsEfHI6dJ\nZt4QER8CjoiI/wN+CLykftzntbaNiAuBHTPzQS37XkMJGK8GtgP2B54ErMjM9fVjrImIU4FDI+Im\n4OuUAkKHAjsxPkdSkiRJWliaFVZHR0vgaNZRPUw2eNwqMz8GEBGPpAzffH5mXgpcGhGvmq4O9nAk\ncAvwBkoAeCWwT2Z+va3dEBtf6xDwNmBHyjzKUeAJmXlZW7s31ud9FXAgJeC8DNgrM8+btiuRJEmS\nZpsVVjWA2Hiliz4OivhhZj6m/vf7KFm77ZsZu4i4JDMfO609XaCWL1+eq1atmutuSJIkSdKd6pht\n+SDHTDbz+JuIOIIy5PMfgZNbAsfdJzxSkiRJkrTgTKpgDvBm4CDgc8C1wPEAEXEC8G3gq9PSO0mS\nJEnSvDCpzGNmXgE8OCKWZebqlrveA3wY+N10dE6SJEmSND/0nXmMiCdFRLTuawscycwbM/NXmXnb\ndHVQkiRJ0iwYG4OVK8tW6mCQzON5wK0RcS5lyYpzM/PmmemWJEmSpFkzNgYrVsDatWXNxwsvtAqr\nNjLInMdllHmOfwY+ANwQEd+KiLdExC4z0jtJkiRJM290tASO69aV7ejoXPdI81DfwWNm/iUzv5qZ\nh2Tm/YHHA+cDLwT+JyKuioh/joinR8TSmeqwJEmSpGk2MlIyjkNDZTsyMtc90jw02aU6yMxLgUuB\n4yJia+DZ9c/ZwJKIuBD4WmZ+elp6KkmSJGlmDA+XoaqjoyVwdMiqOojMnN4TRmwGPBl4LvDMzHzY\ntD7AArN8+fJctWrVXHdDkiRJku4UEZdk5vJBjpnsOo9dZeYdwIGZ+cZNPXCUJEmSpMVi0sNWI+JB\nwFOA7YChtrtXTKVTkiRJkqT5ZVLBY0S8FvgoEF2aTO9YWEmSJEnSnJrssNXDgdcBW2fmkvYf4H+m\nr4uSJEmSpLk22WGrN2bmJya4/xWTPK8kSZIkaR6abObx3yJitwnuP2SS55UkSZI0W8bGYOXKspV6\nmFTmMTPfGxHvi4gHAr8Abm1r8iLg9VPtnCRJkqQZMjYGK1bA2rWwdGlZ59H1HTWBqRTMecsETSyY\nI0mSJM1no6MlcFy3rmxHRw0eNaHJDlt9O2Vo6n0smCNJkiQtQCMjJeM4NFS2IyNz3SPNc5MtmHND\nZp46wf0WzJEkSZLms+HhMlR1dLQEjmYd1cNkg8fzI2K3zPxxl/sPwTmPkiRJ0vw2PGzQqL5NNnhc\nA3w5Ii7FgjmSJEmStOhNNnh8R73ducv9FsyRJEmS5rOxscUxZHWxXMcCMNng8UeZ+ehud9YZSUmS\nJEnz0WJZpmOxXMcCMdlqq+/scb9DViVJkqT5qtMyHQvRYrmOBWJSwWNmfq3H/f85ue5IkiRJmnGL\nZZmOxXIdC8Rkh61KkiRJWqgWyzIdi+U6FojItLbNTFq+fHmuWrVqrrshSZIkSXeKiEsyc/kgx0x2\nzqMkSZIkaRNi8ChJkiRJ6mnag8eIeHJE/Md0n1eSJEnSJm5sDFauLFvNupkomLM18JQZOK8kSZKk\nTdHYGJxxBpx2Gtxxh2s6zpG+g8eI2KHPpltPsi+SJEmStKGxMVixAm67DZrFPptrOho8zqpBMo/X\nAP2UZo0+20mSJEnSxEZHS7DYDBwjXNNxjgwSPP4F+DbwhR7tlgMHT7pHkiRJktQ0MlKCxbVrYWgI\nDjoI9tvPrOMcGCR4/BGwLjM/NVGjiLgZg0dJkiRJ02F4uMxvHB0tgaRB45wZJHi8BNi7z7Yxib5I\nkiRJ0saGhw0a54FBluo4Hnhpr0aZ+cXMdP1ISZIkaTYt9mUsFvv1LQB9Zx4z8zrguhnsiyRJkqTJ\naFYkXbt2cS5jsdivb4EwQyhJkiQtdM2KpOvWjS9jsZgs9utbIKYteIyIbSJikDmUkiRJkqZDsyLp\n0NDiXMZisV/fAjFQ8BgRh0TEf0XEWES8uN73DxFxA/Ab4I8R8YGIsGCOJEmSNFuaFUmPPXZxDulc\n7Pu6NYcAACAASURBVNe3QPSdKYyIA4GPA98FbgbOjIi7AycDZwPfB54AvAn4Rb1fkiRJ0mxY7BVJ\nF/v1LQCDDDM9FDg5M18DEBGvpgSTH8vMw+o2/xwRNwGHYPAoSZIkSYvGIMNWHwx8oeX22cBS4Ctt\n7b4CPHCK/ZIkSZIkzSODBI9/Ae7acrv57y3b2t0FuG0qnZIkSZKkjbjW45waZNjqfwOHRcQFlODw\n7ZR1H18fEedl5rq62uprgcumv6uSJEmSuhobK0tYjIwszrmBrvU45wYJHt8N/5+9d4+y66jvfL/V\np1syrBnG0JCrEEYJgSxigxJEFA19Q5RDRETsYBCI4JtAWrE9FvILO4ToRklIxGMkMC8N2MEyWBr1\n5N47IQg7GGOwUXzApE8gtuUsQ4IHzEMTjGeGNsY8rG51d90/qsu7Tp2q2rVr731e/f2sddbpPnvv\n2rWralfV71G/wu0Avgfg9MpvLwZwDMBXhBD/BOD5AJ4J4NwqM0kIIYQQQggJsBoEK9dej6P2jANO\ntNuqlPLvAfwHAO8FcB2AF0op7wKwFcoq+VwA/wPAa6SUn64hr4T4oQsDIYQQQoadMvMZl2A1anCv\nx75TxPIIKeV9AO6zfvsagN+uMlOEFGI1aNoIIYQQMtqUnc9owUpfP4qCld7r0eeaO+puuwNAIeGR\nkIGELgyEEEIIGXbKzmfyBKtRwbfXI40JPaFy4VEI8ToAY1LKmarTJsTJatC0EUIIIWS0qWI+4xOs\nVgOtFjA/Dywvq28aE2qhDsvjEai1lBQeSW9YLZo2QgghhIwu/ZjPjJKb5+SkEhwB9T052d/8AKNV\nvivUITxuBSBqSJcQP6tZ00YIIYSQ6unHxF/fRwe7qfq+5jMBo+XmOTcHjI0pwXFsTP3fT0bUjbZy\n4VFK+bmq0ySEEEIIIaRn9GviX+d97bR37hytmBHNJrB2bfXLmFKVCCMak4MBcwghhBBCyOojJBT0\na+Jf533ttIHRihlRh9vv9dcDl1+uymzt2mLC/IjG5CgkPAohJgBcBOCVAJ4H4CkAlgF8B8DnAXxQ\nSvmFqjNJCCGEEEJWIXW5juZZ+Po18a/zvnba09PqM0pr8qpcxtRuA5ddBiwuqv+LBuEZ0Zgc0cKj\nEOInAHwGSmicAzAPYA2AJQBfBrAZwO8JId4ppfyTGvJKCCGEEEJWC3W6cOZZ+Po18a/zvlNTwMGD\nwLFjwI4dWdojItRUTquVBeABgEajuDA/gjE5ilge3w3gSQB+WUp5NwAIIX4aKqrqD6WUZwshfhPA\nTUKIr3CrDkIIIYQQAiDNglinC2eMha9fE/+67ttuA1ddpZ75zjuBDRtGTrCpFL2Gcn5eBeC55hqW\nF4oJj78F4A1acAQAKeW3hBCvB/AlIcSVUspPCSHeDeAN4FYdhBBCCCEk1YJYpwvnsLoUlnHjnZkB\nTp0CpBypAC61MaxtpGaKCI9PgHJXtZmD2tfx/wDwXQB3AviD8lnLRwgxBuD/BvB6AOsA3A/grVLK\nYxHXNgD8CYALATwdwEkA10opDzrOvQTAlQCeCeB/Aji6cp/TFT0KIYQQQshokmpBLDN5jxGy6rTw\n5d07RQgs48bbbgOHDyvBEQDGx0cmgAuA+tbGjqDbaVmKCI93A7hECHGblNJwAMYbADwG4OvGb/NV\nZC6CtwF4E4A/Xcnf/wXgb4QQL5NSfjLn2r8E8PsraXwBwIsBvFsI8W+klG/XJwkh9gL4TwDeB+BT\nAJ4P4C0AfhLAf6z0aUg58jqOEdyolRBCCBl4ylgQUybvvdhmwzeniLl3av7KuPG2Wuo6zTnnjM5c\naET3UxxUigiPfw7g0wC+IoS4HcACgBdCBcp5u5TysZXzXgAVQKdWVgL4vAnAO6SU7175+Q4hxLMB\nvAOAV3gUQqyHEvzeZgiKtwshngTgT4UQfymlfFgIcQaUdXJGSvmHxnkSwNVCiPdJKWt/VhJBXsfB\njoUQQgjpD712/6t7m43QnCLm3qn5KyOEN5sq4IsWIG+9VT3HKMyFzPI8dUq5547Ccw0oY7EnSinv\nALAVyr1zGsAFK9f/npTyL4xTb4VyI62bl0JFe/0r6/e/ArBBCPHMwLWbofJ+q/X7pwCcAeCclf+f\nB+DfeM4TALYXzzapBVdHXOQ4IYQQQupjagrYu7c3k3otZDUa9WyzEZpTxNw7NX9aCH/b24orwaem\ngAsvBIRQ/y8ujs5cSAvGgHLLPXJECcakFgrt8yilvBPAS3LOubdUjuJ5LpR77Nes37Ul8GwA3/Bc\nq+32C9bv2t32eQXPI/0mTxs3ohu1EkIIGUG4zKIcdVs6Q3OKmHuXyV+ZNXjT08DRo6M3F9KC8aFD\nSnjUgjHfnVooJDwOGE8B8IiUeuXv4zxsHPdx/8r3CwGcMH7XrUxf+1UAyyvn3Rg4jwwCO3eq7+np\n7g6j7EDCgZwQQkgv4DKLaqgz0EnenCLm3v0IxDLK0UOLCMac05WilPAohHgdgLEq9nQUQrwEwO0R\np35WStkscy8p5T8LIT4D4C1CiK8jC5hz1copyyvn/VAIcRjA5UKIE1DuqhsB7IeySi53Ja6eZReA\nXQCwfv36MlklMdgD7fS0+7zUjpoDebWw0yaEED91r9cj1VBG+KtzHMxLe1Sjh05NAQcPAseOATt2\nhKPcck5XirKWxyNQawer2NNxFsBZEef9eOX7ewDOFEIIy/qorYEPI8zvA/h/oARCAHgUwB4A1wH4\njnHeHwKYBPD/Qq1zPAUVPGiPdd7jSCmvB3A9AGzatMm2jJKqqXug5UBeHey0CSEkTL+XWaQKNoOo\nGBzUPNU1Dq7mMbbdBq66Sj37nXcCGza4n51zutKUFR63oUDQnRBSyh8D+EqBS74MYC2AZ6Fz3ePZ\nK9//nHO/bwNoCiGeDiVwPgDgF1YOf94471EArxJCPA1qL8lvAngigKvN80gfaTbVfkXLy/XsW9Tv\ngXyUYKdNCCFh6nQtjNnSKkX4GEShZRDzBNQ7Dq7mMTb22TmnK00p4XElAmu/+BSA0wBeC7XvouZ1\nAL4kpfQFy+lASvkggAeFEALKbfUrAFqO8/43gP8NAEKIPwXwXQB/UyL/pEqkzBZJ33dftWsaYwby\nQdRuDiJ1C/qEEDIK1OFaGCNMpQofgyi0DGKegHqFl9UsGMU++yiv++wRUcKjwzU0itTrYpBS/i8h\nxHsB7BVC/ADAPQDOB/DrAF5u5eM4gJ+WUj7b+O0SKBfUb0BZFHcCeBGArVLKZeO886Esk/cDeDKA\nVwF4DYAdUsof1PFspCCtlhIaATVIXH55t7tCSLiL2SOyDk3tauS++7K6qqdrIISQ0aBqpWSMMJUq\nfORd1w8FaxWCVB35rlN4KZr2KCm+izz7qK777BGxlse7AbwgIf3U62L5UwA/BHAllAB4P4DXSCk/\nYZ3XQPezNgD8MYCfhlpH2QLwQinll63zJIBLodxjFwH8A4CmlPLvq3sMUopmExgbU9YsQAkn5gax\necJdaECtU1M7yNQxoLTbwGWXZRsU26G0R2kQI4SQMtShlIwRplIFm9B1VTxLyvhQRZR1X77bbTXP\neOghYN06d5T3OohRZhcRHEdN8T2oQYxGjLq36hB1Ji6lXALw9pVP6Lym47drAFwTcY+PAPhIYhZJ\nL5iaAq69Frj0UiWY6A1idWeeJ9yFBtQ6NbWaQeuw6hpQWq1MwAfUhr66rEZxECOEEB+635+cBObm\nuvv/OpSSscJU6gTcd13ZZ4kZH3zjaBlhwpfvdlvdZ8HYAvyGG4DPfrbe9aExXlJFymkUFd+pcA5S\niFjh8bkrW1oUZSLhGkKKs2sXcOKEe4PYPOEuFN45VlMbEx7axSB2WHUNKM0msHYtMD+vLMXXXJOl\ny0GM1MGgKWYIAbJ+f35eKdTGxlTfaPb/da1d64e7XtlnmZkBTp1SY7trfMizEKb2Ab58t1rA6dOd\n554+3e3x5LtvFetK5+eBffvUJ3Yctcvp4MHVuz7SphdzkBEaj2KFx/8Pyn2zKN9PuIaQNEIbxO7c\nmZ3j0sT5wjvHBsuJCQ/tIm9QLEtKZ1XnpMVXlmXuOUIdMqkQ14QSYFsh/UdPVLUnxvJyd/9fxuVy\n0PrEss9y+HC2Rt4VaC1kISwTz8CX72YTmJjotDzaedbKgbEx5Rm1a1d2XI938/OAEMr6HIN53fIy\n8JnPqDmHfq68cdQup7m51RM4Jq+uzbJrNICTJ9U1VS7bGTRDQRmklPzU+PmlX/olSXrI7KyU+/er\nb/3/E54gZaOhvvXvJvv3q+OA+t6/v9g9U6+fnZVyzRodJ1bKtWvd+Usl5tl91+3erT5V5ifmvmbd\nxV6T8oxk9LHfy927e99WUto08TMq5an7rbEx1T7Hxoq3SV9Z1NUn9mtcMN9jQMrt27vPOXRIyomJ\n7nIMjc1mOa1ZU/y5ZmdVXsbGpBRCpWHeV9ctoPJmp+3Lc8x9t23L0nc9l+8dcbWNUXmnQsS+E7qN\nr11b/ftTdp5ZIwDukgVlm7rXPBLSW2yXHFPTdupUp1uJJkYLGNJapUaZa7Wy4DEAcM451WqiUtww\nbO3Y9HR1+cnDdL0x/zfzZpcj3V2JD/u9BHrbVgZF0zxoVqhUypTnoG16b1q0fGse8/LlK4sy3iy+\n57XX+B05AtxxRzVlEmMRajSysfLWWzstQtrzZ2lJWfkOHsyOTU6q36QMxzNYWlJLXo4ejW9XU1PA\njTe6828H8Vta6q6HuTl13GV1DpXN1JRyVb3zTvecI+SWbFtSgcHoo+omdp6gY2ScPq3qZX6+mvcH\nGL0tVIpKm/zQ8jhUxFj3tAax0XBrAWO0Vj7tXUi7GJu3kBYxpDH05Tt0XT+1Y6FyDj1LFVr2QdS+\nDmKehg2zDHttpR4ETfMoWebLeHikemAMatn5yqKMN0voeffvV9Y1na4Q3eVf1nPEZ/2bnZVy8+bs\n/nbdh8pCW3cbDTXGu8YU87li21XMs+qxXwgpx8fV/75nd7WvmONlx4dB6KN6QZF3+dChrD0AUu7Z\nE1fOZeaJfQYJlse+C1ej/qHwOADs3p0NEEKo/zUxA4h5fdFJi+luMzbW7V4SGhRThCmbQ4eUi4se\nuPIG6yLuHalCrY/QQJbnflSmQ9YTLtv1qJ8M8sR1mIlpK1UN8INQh3VODlOFhdSyTS3P1P47puz6\nNRn0lYWZZ3usyyOvjzWF0kajUxianVWCqhDFBFbbJVUIt3JQu2i6BLGYsnClra/1uZ76KNIO9+zJ\n2p4r7bKK3CrGvn73Ub0itqxMl2MhlAIgxs13iAVxCo8D+KHwOACEtLH22gTX4JWqyd29O7tOdyi+\nQdFlmUwVpszntgeG2AE1JBju3p1pVO0BscxglCcsp0xO7PRdz2XXU5EJV10M8UA01FQ9mcqbsNQt\nfNQ1OUxJt4q8FC2vuixx9vHQmrm66tiVbl39rz7u89BJ7UPt+rGVrLYwPDbm9+Kx12PGKIbt+7vW\nJtrE9s228rjo2JJXH6lrJl33GUBrWN8wy318vHNtaWjdfFX10QdShEeueSSjz9QUcOGF7m08Jic7\n9x486yzgyis719TptRZCABdckL4m4Lzzutfq6TDtL3lJZ8htIOwjH7POct++LCqb9vPX1+k1MdKx\nLsa39lCvs3nssew+Cwud60hbreyeRdcLhCLy3Xefqjcgi7pXhEFZfxbLqK2PGBTy1ldVvYY2tP6o\nF22yTJTLECnlVEXZFt1mokz/nVd2MWvm6qxjV1mUqe+8a6emgM2bgZtvDq/TK/oMF14IXHdd9pu5\n/6/ZDwoRXiOoI62bdXD8uBqfjhxR44dr3aO55YY5N/Bh982Tk8CBA51lpsdfM6ZBLO22yjOg1m+6\n1sNefz1wySXZ3MUca4uu0+3H1i2DjL0eWUfSD62bD627HVWKSpv80PI4cMS6ovlcW+y1HFWtqdPW\nMp+bT13uoXlWTa2l9UUUi4lc59Om2usF7HUeKczOKg2gz/03pkzyXLLKWjXrIFYjPEqa46qeJdUq\n4zunjjIeZutynpdAL6OApuazqrRDlq266thlaasq3e3b1XIKV99tji2m+2hev583jplp2mvM9LWH\nDoXXZIbKOdQmUyzToTzZ428Rq2ZMfuzx0Ey7H+/YqGO2ndA8clj7cikHx20VwG11pDuMHwqPNVOk\ns3QNIPagl7KmzhxI7EEvLxBPHeuvzI5sbEyteYwVPkOCmhkAQAva9uBmugG7hLzU5zEnaL5BOG9C\nW3fwgX4wqIKvlMXLtKqJT9kB3s53XROyYZ/opQjo/XjPXPXpyndKvvIUcXXUcarAE5OuLZS4BEiX\nctFeJ2aOObFKmzwB0TzPVoRu2eIfZ2Oe2+XyGrs+zu5T7PF38+Z4Id8e64DurUnspTY6qIsvP6Ra\nUhWTA0xPhUcALwHwdgAfAnDY+nw3Nd1R+1B4rJmynaW9VsO1BjCErWXUg5ceBPMiucVoZIt2SGU6\nMntgMjWaesLSaKjByqX59mmmy+TLFvC3bHFf62oLttaw6olrv4XOQVyvKaW7rvPKqqqJjy+d1PZX\nZ+CKvPd/UBUavrwN+uTVbgOHDmXCn6vPKpJur+rR5S1TpJxDdWcrUrdtc9/f1c/6vF2KtIki59pC\ntMvDJ4XQGOY712V5TPVWsp/JFuJd52gFwpALMZXjUgzUea9B7a9z6JnwuCI0LgN4FMC3AHzD+pxK\nSXcUPxQea6bKjnpiwi0M5U14bS1go9G5ia9PKM3Le16UwDITFlPT67Ky2AOnLaRs31584Xiqa5Fd\nxj4B3877nj3VDaSDpG0081ImUEWdA51d16FAA2aeYidtrmvzXIvs84qkHRs4pUrrUqy1pteTlbIK\noph8V3WOjW0VMj0pirgX9gpfv1NHEKDZ2TjLoy+N2Vl39HCXwO6z/O7ZEx90xGWlCwnSse3FHm/G\nxsLbNfjqKGb89aX3jGd0PpcpxOty9j33EAsxleJ7T1g+XfRSePwfAH4jcPxESrqj+KHw2ANSOwNz\nIuEKax4zEbKtYnrQ27On83d7jyn7/nlR4OwJQlmhOW9NpF2etpCyebM/7ymWn5hjtrbdJSiZgqsd\nKS3VCpIqDNeBayJWdJuRom2nCoFr9+64skqJWOcSZqqeIIQ02HW0gxhFS78sDD7vBDNvZbwpqjrH\nhXmd2T/YfXiRZQt1kdcnplhUYtpV3ppHl9JRH/ONWeZ1PktdaDsOX/n4LHCuc4ssb7GFaJ2vIn2s\nz+MlZV5hb7Vlt9tBW7IwCLi8yrZvH9qIqHWSIjymRlv9n1LK2wPHm4npkl5QNBrXoFM0Wph+/snJ\nzqhp09Od59nRAWdmusttbk5F11peVtHgdNTUViv7fWwMWLeuO3ppKKJmXpTAMpELzUivQHf0Old5\nTk+riHU6rxddpCKg2nlvt4GTJ4Hxla7FPBaK5hd6HjNq3g03qOh4Uqr8TE93pjM3l0XkA1TkPiHC\nEUtD70O7DVx2WRbp1YxqFxsR1Yyep/Ob+g7a5TQ3p34rklZMuzbfETPaXGy0SLuugSwaYqOh2ki7\n3Z2WWX+hdm2Wnxnhd3kZuPxy4LOfBfbuDeexaB3o/B8+rCJE6rqsIzKumaarvGZmsojJVUS9LJo3\n3bcBqh3Z76svL2bbO3WqM1Kz6xzfs6X2f75IikJk08y1azv7Mx0ttdHorHdNmfE0dG1en5h3L1fa\nee1qagq48UZ/enZZ2Pn1jVk6v5dc0t1ugc7xSEr199xc+PmmptT1V18N3H8/8JznAOec0z3O6rzF\ntpepKeDaazujmep82dHFY8pJCDVmjY2pdOfm8vOya5f6PnYM2LEj+9+O0r5pE/CCF3S3ydVOu636\naZPxcRUpWLfRotHgSSdFpU0lpOIdADYGjn8gJd1R/Ayc5bGfGuteUUTz7XLbdLm/rVnjDooQcuHJ\nuzaU17x6cllbYssiz/IYW64hjWpo3zNf2jHt0ufK69Nsm/Xr0gbnBWgoY2XRx23X6Lx7VlFOsWm4\n2qZ5vNFI22Dddc/du5Xm1/cuxD6f6x2OjcZb5D4mpsXGtELoNh56j1PXQvrKK2ThcaVRx3qf1D3N\nYvJep+XRlY7ZJ9jl5ar3mP7fTtt371B/WeYZY6yWoffQRZmy0Md9boS2Z4nPZTb0nHnjbNGy1G3c\ntkDmLQ2wPZpsl+h+9v+HDikX2CqioA8ydlvVQYtCY3ldpI4BPQQ9dFt9K4CvAzi2Ikj+ufV5MCXd\nUfwMnPCYt45u2MnrXPNcRV0uNfv3h93u8iaOsS57rmfxuQhJmT+BCwm2epLkSzv0XD7Kuu/lPa/v\nmfIUAvZ15iQjz7XVnPCkBGNwrctxufwWKesqBqNQ27QH3rKuUWbZx7gS5z2fq50VFWaKtlXfBDcU\nYCt1opdXXnnu9jqNOiJy6rRj3lPfsdAYFErbpayq2jXZ17f4Ap+Zz2IqLWLqPk8hUeYZ89p3nhIu\n1J5DQeBC1/varR6PzPWSMQogV5qpMQJ86LzptbEuV9zQuLtmTWcd6+cqI8Sltgl7KU1oHeew4eob\nQu7RqYGxUvI1BMaaXgqPyzmfpZR0R/EzUMJjnROKQaHMWiHXteZkph/awtlZ91YMs7OdQXlcz1pm\nkp2S5yo6ypgO3h4ozOf0bU3im2TooBkhDb2eOLgCKrnyYx+zBTE72FBq26pKiLStH65IwSEhxbe2\nR2PXj6+8Y5/Xt24qRiFipmXuwRozkdL30O+jPYEOtUt7shyrbLLLy4wOmieYlInIGSqDslZB3zse\nuk6PXaF1Z2YbSHknfGOHWe92Pdjvtn6WGOWETyEBlJ/c5pWlaakvEqnTVRYpShGX4m98XH2nrHfO\nszym4lNmxLRxfb495hYJClQVs7Pd6yTHxgZeqInCVxeufjb2N9+xomNuWYV6j+il8BgMiJN3fDV9\nBkp4jNFYDyP2BDZmAIxxFQ25QJbJY5Fr7KhqemKkJ1+222moLIq496V2emXdYuxF7rZriSv9UHno\n4+aEx55k6HrVE0KfAOVz1cqzTB46pI6ZE19zolvUMl1mAhebXoyQEpq42e7CZd8j+17bt3e6jOr6\nbzS6hVPfhMEOilHEfdtVXq6Jsa2s8wU4iilL8x6moO/ry2LcQ/PcKu3jMf3C/v3hvV6l9O8V6Es7\nL6qwfsfKKEZ9wo2tlPD1DYDf8hjyHnFZ+cu61YUEaVfkbCmL9fkp45nrOpeXQ9lIy1VZ00JziRTP\nBd12irrYV4HLA2ZUPNDKCGh2v2u+L3YflaLkjZmPDgApwmNqwJw/zzl+RWK6pE7swA52gJhhxFyc\nrgN6+IKyaHzBBuwgH67gJHYQjthgCSlBfbZuBR57rPuYvWheB+kBwmXRanUGAABU0AgXeUFAXM/d\nbmcBKO68E9iwofgz24vcFxezAAXXXw+8/vXq99tuU9+7dmX1tm8f8JnPdAZbMcuk0QAuvjhr92b+\n223198KCOjY2pr6l7MyPlJ1BDmZmsmuWloBLL+1+7g0b1H2BzoA5ZgAZV4AhXxlt3ZoFnQDiA8vY\nQT7MID7r16uyNtv6Bz+ojunzbMz3wwx2MT+vgtYsL2eBNQ4eVGmmBuky77W0BNx0U9aHmQFzgCwg\ngg5uYZazDnhiBvfQ6HbjCiBkot9lnY6rr2i1VF9x4YXAoUOqXBYXVcAn3V7M4Bvm9YBqL+vXd+bh\nwIHOcwB/MCOdph2oSePqN3U56/ZnH3cFB5qcVPky8zk52RmM65FHus+Zm8vajQ5ckRp4SAe1MsvF\nfidi+mlXkCezT1i7Frjjjqyu7L7BDLTjC8xjlvXMDHDPPZ3p6MA9QBaICAjn3X42u27zxvl167Jn\njS3/ouOZ7zp9T7M/kzI/WE4ozZTgeUUDFhVtqzqPBw50jsGNhvsdqppmEzjjDFXOQgC/8zvAxz5W\nbZCvflEmYJk5diwtAdddB3z4w8Ab3wi8972dgfKOHYsPumS2q7z56LBSVNrUHwBPAHAVgFsAfGHl\n+0oAT0hNcxQ/A2V5lLJazdwgUKdbgE8TXcTKmYpLI6stFaYly3Q5ynNjtd2kQuu19Pkui43PIlVW\nA2jvjWlbEbZt6/zd3vtq+/ZutydTy55nabXv22h0Wrpcz+wKB26vAXK1EbusTCukq7z17z5Nve12\n6SsPfcy0Smm3TZ/rT8j9zdTaavde3TZ91lrz+pD7putedh3pcrGtiPqetmuh/l1bAG3LY6rrm0+D\nbZff9u3d+XeVc966XfvZir5vrvZn59O3Js62zrvatrntgt1XSRneisDXJkw3Y9MyZb+D+hy93URq\nP+1z/Q1Zwe0867V8Zr+8e7e/7ZltdWIiLcBU3prSkCt+P+YHeZ4UdeUptIQjxrsjJV+ml4RvL+Iy\nzxuywub9P4yYFt1Y11MTux8y30fz3S8S6ChkzRxQ0EO31acB+DLU+sYfA/j2yvcygC8BeGpKuqP4\nGTjhcdSo2y3A7HjswcaM3hUb4TG2szbvZU9G7Ym/nmDYbpu+CWiekBnKv+2uZU8sU+rCHFB1/k0B\nRN8jNOG0y0RPGmM2vdblbbv1bN+eP9jOznZG5LPd5ULrqEIu0q661m6P9hohc/1mSDDS93a5MOnB\nMc9NcffuznO0G/GePZk7pssNzyWAFIlerI/Zbtza5S70vthtVrvsawF78+ZM+HYJZKEJmd2OXc9l\n9yEuxY85AQpNUkL9UezEyZVPe52lywU0Vng1z7PbghaWbQEzbz2tXce+d2RsTMqf+7nuNpIiZLve\nv9iJt8sd1Rw37Pdv27ZuRYethHG1R9f7GcqzLfRWvUbQLLuigkpIaVR1Hu2xwRfsqI7Jv/mctqBv\nK3FSBFNbmRe7N+WwEdM2XOOs7TbtUlhrxYoQ6viePVl6ee3YVvDmKekHgF4Kj4cB3Apgg/X7hhUL\n5A0p6Y7ih8JjD+iFBs012GzZ0tnhhNZpuDo636TU1k6am567Jh72BEVP5l0af19eYojpFPMmeT96\n6QAAIABJREFU165jZro6/74JtGvNo89C4BKSfJNUW8CwJ/ahMjp0SAkg27f76zJPEHAJmSHLhy3o\nmBPMbdu6n1tPTFwT7pDyw56Q+Nb5mVFBXe1Tl6cWAHzBePKs1yFh3VdXepJmX+da0xxay5i3FYDL\nymRbfez1sa6Jqs/q56oXLeht2RK31YMtZG/ZovL82tdmv4+Pd3on6LopMtHVdWH3kaal1aUYCb03\nvndE/6Y3Abfb31lnxU0yYyz/MdhjhSkgut4/l3Buvk9mX+tqs7ZA7xPK7fLbti3dch2iirVivjxX\nlUdbaDDXl9bpzWTiagdVeRPYn1GJb2ESU0/23MK1Ht5WxhYJbBRSeISiEg8YvRQevwFgjefYGQC+\nmZLuKH4oPPaYugRJe7DRnUxsBx1yE7MnpfYAYp/r2nvKnmD4NP5lyimkkfVpmmOtKT6XyRi3Rt9k\nzFUOrkAaLuE1T/Dz5d1nQYzRusdaHnV5akHHtjhrxYEpGLoGTZdbq6tsTZdac2Jqbjli3sN2vzMt\nfa5JtW8C7SvzkFteCPs6c/Ks86+FMa0IcClM7Pv6hHE7/66gL6EJX0g49l1nnm+3a7O+fJ9GQwmS\n5m979oTfMV+ALPv9GxvLBObdu6U8+2x/1GOfBdj1jtjCk/1MWrD2CYC+Z0vFZc1wKfB8wqrdX5p9\nrS0s2xZ0V935BHI7eJMtvBcZH8x820pW09OlaICYmP4gBVP5Yitoywi7RfDVZRWWx7zxfxQoMj6P\njXW6otr9t6vdm++xq9262pB5rMqgdjWTIjymBsxZkFIueNZQnhJCzCemS0gxzIXJgDvIg+/8IgFG\nmk0VEGF+XgVTednLgL/9285rH3rIv/B9clJdJ6XKG+AONqKDM5gLwM1zgSz4ykMPAbfeqhZ15wUD\nsYkJeGCXhR1QwgxGYZb7wYMqQIReiD42pj7Ly53BbMzgHq509T3b7axcAXcdm8FBNm5Ufx85osrU\nDEKxuJjdWz/f5GRnee/blwU3sBfIA53tbd++7DkXFtyL6vfujVtYf/Cgun7Hjuz8D3xABVl5+tOB\nc87pLtfxcRU0aONGFWRCB+eQUrWJX/kVFSThrrs6A8KsXw/s2aM+ugx0mS0udtajLpcrruhsq3ff\n3RnoxwyKc999KmjO0pJ6b3S7NINFCJGlpetl715/G9O/TU9nQXB8ARJc77F93Y4dKrDT/Mpwdfp0\ndv0tt6iyaTZVOer3SbcnIbJgU61W57UAsGmTKg8z//fc053PZjMrBxshgAsuUH9fckl33diBRoDO\nd0sHktDt5R//sfNcF0tLwN//fedv73sf8OijWRmY+fIFyHIFsZFS/ab7AY3uH8wAOvfc0x1EytdP\n2EFuDh/uDHz1hS+oZ7KDx+g28sUvZuebZQh0phsb9MIcKwDg538euPJK9bc9Puj7aMx+ecOG7vtP\nTmbtUUrVJp70JBVAClDPohFC1d3ysjuAmj4HUGm94Q3ZWCJE1tZc46hZfmZAICE667zRAJ7//CzA\nmQ6gFIurzmOD1IXOcwVHssewMgG+YnAFMPS18RjsIE1veMNoBUe0iSmrqSlVl5dfrtqzlKpPMMcN\nX8Cl++7rDPxlBhdst9XYr/vf5WV1jw0b1HE9F3n/+zvHxH371Liza1dVpdA/ikqbSkjFFwG8zHPs\n5QD+MSXdUfzQ8lgjLq1znstbSFMVc9zUUNnr7EIubS4tp2t9gstdMpQvn9uEmbeUkO8hrZpNyB0q\nZP0qko88i4RdVqbLiLmGUgeI8Lksxobq1tZi1zrT0BoLXxk3GmGXmjVrOjfRNtud2c5dbjp28BLT\nQujblsRlmXv2szvvDag8hSw6thXTbFO+ID3m9dqN0/V++KxJMYEw9HUuN1pb02y7imsttukKGrJw\nm8+t68F8DteaG7s9+dZs2q7LLvdPV7sp8hkb6/Z+yNtixreWyPV59rMzt1nTEunbjiRkFTPbjCuP\n2tob2m7DdmlOCaJkWx5sl7gi1i27DzRdc7W3iZl/vU7LdH119ZW25ctMM2Shsd27zfuYfY4eN2z3\n+7JbkMSUW1ELXi9dVUMeOlVap4paj0cVn2eRD11uvpgWdn9u95M+Dw3z3DJ7uNYAemh5fDuAG4UQ\nxwHcBeB7AJ4C4JcBvBjAq0rKtITkY4fSBsIhm82wzDo8vKlxCoXmBro1VKa1CwA+9CH3tTrd5WWl\nmZ2b69YSXrGyu42U7nv5NGw+69yFFyrL5Lp13WH6Nb7tNlot4OTJrKxMrZorHVuDalp0tIVs7dpO\nbS4QF57cV8fz86osH3mkU2O8c2dnGH0hlAVDSpXG6dNqyw/bEnriRGaVOno0s7otLqo0rrhC5d1l\nLdbbpezYoc7Rz+kK0W8+68xM51YsWmN/6lRmHTS3pzCtCkC3BlXXxfh41tbMvOp76PssLaltJBoN\ndY4uM11uz39+Zz0+8EB3/fzjPyqNqtZsu6zVGpemePv27B1otVRauuyuuKLTIgSovMzMqPsdOaKO\nHzmitlDQ78Fll3WGWLffY7OeX/rSTCOtyxTo3HZherrTmqXLc35e1e8//VPYwm2+/+bWOlNTyqJo\nW2P/6I+AM8/s3ALErBu5YnGans7KYWlJ1eOVV3a2uYMHgXvvza6fmFBWam2J1hbU7363u251ftau\nVdcAmbfDhz6UbTGj0/7iF9W7petPW9+EUM9tlrPJAw8AX/tadj8hstD5Dz3UacE2reGmt4Vriwq9\nJcbRoyofUqr86XrW1juTzZvVPcx+x/YMsT0XfJatVivb/sbk1CngXe/q9FgIhf23+8B167JtF6Ts\n3s5JSlU2558PfOQj6rc1a1SdNJuqD5yYUOWoy3x8PKsj2/LYbGZlq/NstvWxsewa3eZuvRV48EF1\nXFvv9TuptyCJ8cbI2z7Dt62OayzXv7vSLbPdQyyu9qnzkecxlULqdiqjhl23uu8FwtvcNBrqPTHf\nA0C1OdvjA1DvxUMPdXqhzM8DV18NfOlLneceOzb81sei0qb+ADgfwLegIqzqz7cAvCY1zVH80PJY\nI741MLZFQmuS9uwJa3+qWm8Qs6bPpwFO0XraFqpQtMe8PJnp2OuVXJZc08JhlrutpbbrI1XrblqL\nXNr1PAuJzxJqWyjsbUPsUN12OduL6w8dUmu6TEueGanUtg7bH/N+LuuIEG4Nqk5XCFU2vvWxvrJw\nWUjMsnDlRWtci67xsNcYmVpe39pIILuX/ZuU7rXJZtuztdB2u7C3LtD4AlXZFkmXdT1kCbWfQ0eP\ndbV/bT03+wl77ePTntaZp2c8ozuAiqu/MK1OLsufGVTCTG/LFve7ZVvdTUucLvezz3ZbJ/Wzuvog\nl1eDaeFy9aMuy7C2ztl1b+fV9a77AivpdYdmFOjQ+6u/XZ4deZ4ns7PdngDmvVwWQHubGFf/5uvP\nfWtszXX2+lrbyrJnj3/boJj+3nc8L4BVaH1njKdE7LFYfO2zV1bP1YxrbbarrbliU4TiK9jvgm15\n9H1GwPJY6GRnAsBzAPwKgOeUTWsUPxQea8bnGmcOGubExxxcfVEMUweJGGHKNRlIDbKi8bkf2cKU\nOcD6IheaE3jtLmhPBvOiUpr3iemgQ0Kp6/+YCGo+d8nQ5NauE1OA0cKaa4JlbgXgm5iabs1r1nQK\nliEhyZ50m/l3tQ27LYTuoyfpZlnkBSqxJ/TmsxWJLmemab6X5sTWNekeH8/K3Px98+asTvR+gKHo\nenYABVtA2bOnc7JhTxrM98w3ibbbni+oQl5IfVvIthUprkm9/bHbjL63GR3WjHRsv2+267NZzz7h\nyIys6gpIocvGvlZvkWPXsRZwXJOzRsO/9YTtNqmfVbvK6v/NwEBaqDPdm7dt63av1dfa77vZbvT7\nq9uMKTjaLtC+PtM1HriENJeQr8eBUDvRkZxd76fZv9sKHlNY1tj78WplQcy2FzGClC6LmCUM+m+f\nsimGIsrOlHSKKlPpiloMe/xyKURcY52rLkIBzsyAYK6lAkIohc+ACY5Syv4Ij85Egb+sI91h/FB4\n7DGh9Xep6+6KYk80XXv/2b709qCnJxsxkf/s8PuhyK0uv309qXX55fusQ6H1ceZ9XJEx89akxWiI\n7YlN3roRU9CLXaPnWg/XaGQRDH2WQd9ar9g1YLZAFJt/V9ubmPBbH81IjHbZ2lFHzbIxy2V83C08\nu+rVpwBwlZ/eRkILePo+pgBuPpepEDD3m7TXfLnq1f62P3qwN9uyHV3WVye+CYpt2YrZCsKlkPJZ\ntuyPaaU2hVazzkzh1q5vM62f/MnOcvdNplzbodjP6BOg7XbcaGR5s4VK8xnsPT71e2oLnLqN2h4D\nLqWEPscnJPu25TBxRZ51rUn0tRkftkXFp2hwrduN3Z/WViq4lIchodbu/0MCUKzg7Do31NZcFn5X\n3+e6T5WWwdCz5AmFeYINBUtFaKwx331ffIKYOAW+Plf3eUUUvgNArcIjgJ8C8NSVv6dzPt8smpFR\n/VB47DF5A0qZcOSue/kGG9f+fJq8xdN5WlKX9t4Vctw87hvkzYmTa4G4S8vrmoT5rKe2IGMKXFrb\nX+TZfWUfM7AWaQfmJMzemF4/t8869pSnuM/3TUBDH1eAJZeFyy5Dc8JmC3eu+jXLwd7qw5y4u8rH\nJwi5FA/289gWQL0FiCmc+jTF2nIW2n5DW8ZCW1joibGrngHl+mm/S3qT9Tyhz9cf+ay0rnat68RW\nuIS04PaExlaI2OeYFjCX4OFTfOjJkq+Nxe4laAvGtnLB7Ad8wqMtoNjlvn27qktfe2k0/G3A9dHu\n2raXQkyfri12PktUnvLQ9d6GhAmXldIuc1e79U1+8wQqLdTaQbFiAgXFjl/2uaE8mWU6MeFe2uG7\nT14e6qTI8/Urj4OET/ng63N97TSvTzeFQ1cQOz32bNkSN070mRThsUjAnBNQ+zv+BwD/JW8pZYF0\nCakOV1AOM+S5b3uJoovUQ9c3m2qhtRngRQcd0MFodMCWsTEVYCKP669Xi6yf/3y1fYMZIEYHMQCy\nYDy+YDtAFqhmbq4zaAygglLotCcnOxeP60As0ni9X/EKtaWBvp+51cSBA1mQBEBde+JEFrxCSuA9\n71HbAPiC+viwAwWdPBkOdmQGUJifV0E4lpfdYemBzrp96Uu776/zD3RuNSAl8PDD3edPTKh6O3FC\nbb2hF9VPTKh83nlnZ7lqFhdVXn/rt7JF+jr/S0vqvtdemy2+b7fV95o12TOtW9ed9sREd/3qctAB\nSzRLS+6ASSdPAm95SxZk4+KLs8A55rYfOnCPlCrdSy9Vz+sKob52rdqWRAcH0u1H39cMfLBxoypL\n/Wzj41mwJv1M+p7m8/sCKNx6a3f5A8C//ivw4heroDzHj6tnu+EGtVXPxER3GHw7CIMZGOvYsaz9\nA1mQETMoib3ljR2cQQcBMp+j0QDOPVcdX7dOlc2JE+p/nb9XvlLl2dXOdHt2bTcDqHpxBYm44ALV\n9ubmgJtv7jy2vJwFXYoJRGIGMrriimxrI73Viy7bT37Sfb0ZQMoOmHLiBPDpT2dlr88124u+9u67\n87c6AoCXvxz44AfV3xs2qMAYDz4IXHSR+v+SS9SxjRu7t2l5wQtUubnGJiArZylVEKlQUA8ps3dd\nB44COscBM7Db2JgKyGT2oWawKn2fgwdVYJ8HHugO7JMXYGbXrqxP0kGxXPXiCnhj5tveLsk+3x7r\nzDxNTnYGZbvjjmz8tYPbAf5gemW2zyiDqz/wlXlesL/Vgqsc9u5VZXfppdl7PT6ugu29+c2qzo8f\nz8aKvPLTbU5vP/XFL2Zb5QCdfcfnPpeNayO2XUoR4fH1AB5d+ftfAJzrOU8AuKVMpkgPiN0raRix\n99ByRR0r29mGrrf3HdSdRl4UL83GjVkEzIkJtY/X61+vjt12WxbpbmFBRfey9yJyRbx0RSO0ByMd\nvdE10ANKOPj614Hbb88mYJs3q7Svvz4TaPSeb81mJiQDncKW/k1H/Dx6VHXgZhTNvP2p7EmUvS+c\niTnZMaOQmoKFbyKxbp1K2xSENUKo6Jk/+7PAdde586kjSG7YoCZU09Ode1IeO+Z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ohZ8rJ2rXsbkNR5z/792ZYT+mNuEUbiGKQ2XAPo4VYdPxJC7JBSHrMPCCHOBfBwYrqFkIlWPyHE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\nkiRJklTr/wEEdRbiRdQkqAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5ff5e76630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.tick_params(labelsize=16)\n",
"plt.plot(tVals, accstamps, 'r.')\n",
"plt.title('Accelerationsmätning under hisstur\\n fyra våningar uppåt - plottade rådata\\n', fontdict = fontHeader)\n",
"plt.xlabel('Tid [s]', fontdict = fontAxis)\n",
"plt.ylabel('Acceleration [$\\cdot 9.81\\;$m/s$^2$]', fontdict = fontAxis)\n",
"\n",
"# Tweak spacing to prevent clipping of ylabel\n",
"plt.subplots_adjust(left=0.15)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Acceleration\n",
"Jag väljer att representera accelerationen med positiv rikting uppåt och i absoluta tal istället för i multipler av *g*. Dessutom kompenseras för det absoluta felet i accelerometervärdet; det visar sig att \"viloläget\" ligger på -0.995 *g* (syns i ovanstående graf) istället för -1.00 *g*. Funktionen anpassas med hjälp av NumPy:s funktion `UnivariateSpline`."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hIVi/XomhiIiIiEjKeZ0UAlhrHwEOrrPMb3CJYfSx79DCENOkqlqfpFh0CeH4\nOExMuMesdY8Vi0oKe0z1gPykuPlJcfOT4uYnxc1PipufUl+nsJeSNvtoVeopFBERERFJjTTOPiqB\njRs3Vn4im3XJ38qVrmfwxhvdv5UQJkLVuEmiKW5+Utz8pLj5SXHzk+Lmp07ETUlhnzjggAOqP5nN\nwvLlSgITqGbcJLEUNz8pbn5S3PykuPlJcfNTJ+Lm/T2F0oToUFINHxUREREREdRTmC7RSWfCiWZE\nRERERCTVlBSmSS7neggzGfc7rFsoIiIiIiKppeGjaRJOOqPi9SIiIiIiElBS2Ccark+SzSoZTBDV\nA/KT4uYnxc1PipufFDc/KW5+Up3CHvKmTqGIiIiIiKSG6hSmmOrK+Elx85Pi5ifFzU+Km58UNz8p\nbn5SnUKZpLoyflLc/KS4+Ulx85Pi5ifFzU+Km586ETclhSIiIiIiIimmpDANSiVYvdr9FhERERER\nidDso/2qVHKlJ+bOhaVLXbH6oSFXkkKzj4qIiIiISEBJYT8qlWDhQpcIGgMTE+5nZMQlikoKRURE\nREQkoOGjfaKsPkmx6BLA8XGXDGYy7mdoyBWt7xQNS22b6gH5SXHzk+LmJ8XNT4qbnxQ3P6lOYQ8l\nuk5htKdwaAjWrIFNm1xC2EovYTgUNfr6+HtoWKqIiIiISM+1UqdQw0f7xMaNG5k3b577TzbrkrR4\nIteKaslftDcyPiy1WhLZifb0mbK4iTcUNz8pbn5S3PykuPlJcfNTJ+Km4aN9Ylp9kmwWli+vnYDV\nGv4ZPrdu3fTkD1xyNzQ0fVhqmESuWOF+l0qVHxNA9YB8pbj5SXHzk+LmJ8XNT4qbnzoRN/UUplWt\n4Z/R5zIZGAx2k2jyV603slIPIlTvVRQRERERkZ5SUphGpRKccgps3lx5VtJoYgfwgQ/A9ttPJX/R\noaDLl5evO+xBDJPNMIms9JiIiIiIiPScksK0CXsBw4TQGPczd+7UMnPnwsAAWOuSuMWLpxLG4WE4\n/niXMM6ePX2CmWo9iJ26x1FERERERDpKSWHahL2AExPu/2Edw6VLYf5899jSpTA25p474YTyYaUf\n/OBUD+LmzZWHgmazjT0mIiIiIiI9p4lm+kTD9UlyOdcLGIoXti8WXbJnrXv8rLOmJoZZt24qIQSX\nNMaHgqp2YVNUD8hPipufFDc/KW5+Utz8pLj5SXUKeyjRdQprGD7xQVadAX/iOcxlE8tZzRK+5IaC\n3nijW2gtlU4dAAAgAElEQVTvvV1PIbgE8rTT3L2Dxx0HF1wwtbJFi+Cb35z6f6lEKbecM0Y+wt3s\nxjO3eQYfWfI0SxY9rqGjIiIiIiIzoJU6heop7BMbN26su8yJJ8IxZ+zEw+zEX9ma3/AijmGYw7gU\njjxyaojneefBrFkuIRwchEcecT1/e+zhZiM1xiWRy5aVrX/4jCd43cgP+RaLeJgX8Ysnn8cxZ+zE\nYa//tcpRVNFI3CR5FDc/KW5+Utz8pLj5SXHzUyfipqSwT9SrT1Iqwec+F/7PRH7gCg7nsF9/emrh\nJUvgppvcb2PgwgtdL9+HP+yGlWYycPbZZb1+J54Ix3zrACAzff32EIbHjywvUSGA6gH5SnHzk+Lm\nJ8XNT4qbnxQ3P3UibkoKU2LdOpfPuUTNRn6CxO3653LYYZEXZLOuDMXYmLuPcHR0aoIaa2HTpslF\nDzsMzjgjHIZsgt/l61/DR1SOQkREREQkgZQUpsRjj0X/ZxgYmOrJm0wMr3A9fpPCmoMDA1M/xrie\nwrlzYfVqTjzsd1xxBWXrcclguV+yC6VXf7iDf5GIiIiIiHSCksIUKJXge9+DsPduVmaCW2+FQw+d\nvuwZZ7hShIDrLVyzxiWBExNTM49aCx/+MKWTruFzVzyPqR7BqR7IQ7kcw/jkc5YBzrj5NbDPPm7C\nGt1bKCIiIiKSCEoKU6BYhLFRl5wZJjia/yJLicsvh912m778ccdOUDpunUvcNm2aGjIK7vfYGGze\nzHETZ2MZYCohhN3m/pYNs/bl8oH38U5zddl6r+YdlEb3hLVrNemMiIiIiEhCKCnsE7Xqk8ydCxMW\nwGIZYI+JOycnfDn/fDciNGrCGj5xwQ4ucZs71w0hDRcyBqzlMC7lZ+xR9rodnvUkP/3YFWQnboOJ\nCZaZz5MxE4S9hRMYiuRcYhkWvk851QPyk+LmJ8XNT4qbnxQ3PylufupE3JQU9olaO8OmTTBgAAwD\njLNpYN5kmYksJS545/cwTJS95mb25rCn17oXr1njSlMYA8ZwGJdyBYcHS071Ev7nMX+CJ590Sd/A\nANnZP+Fjh/w+WM5iyfAkW7v/Tky4hDPl9OXrJ8XNT4qbnxQ3PyluflLc/KSkUCbVqk+Sy8GsIYMx\nllkDltzALVNlJvbdlyVXH8QFg8cDU716AFdwGIddvC/cfffkENLDJi6umBAeustdLLn6He6mxIkJ\n93PCCWzz8hdgzNSkNmfxMUrs5V5+992d3xCeUT0gPyluflLc/KS4+Ulx85Pi5ifVKZRJ9eqThOUo\nrDFuwphomYnxcZbYYZbt/aNwaSYTw1+9lt0vWMIwS9iDn1ROCHe4lcvvezXcd1/5m/70p+Rybp6a\ncJ3jDLghpAAXX5z6+wpVD8hPipufFDc/KW5+Utz8pLj5SXUKpSHFossBrYXxCUPR7OsytVmz3P2C\nmQwMDfHZ0w27PS9au8Ilhj9jd44ZP4+fsnvk8SAhfM39XP7bXOU33n13suuO47zXXU6GcQzjDDJG\njqJ7fmxM9xWKiIiIiPTYYK8bIN2Xy8HQ4Dgj4xMM2VFy5iZ4/wdg8WK3wLp1k8uef/iPecMZb2eC\nTPBItPZg+Yw0u2/3GJe/ag3cXn4/IgB77+3uRRwZYT4/ZZB3M8KsqTUYo2L2IiIiIiIJoJ7ClDhi\nt5/xAfNfrGchWbsBtt/e1SEEuOgiVyZi773JfuG93Gr2YXd+GrwyLEQfTQ4tA4zzxcU/dq+NMga2\n2AJ23dUNTwWK5BhjEEuGEWaxzhwBxxwD69dPtUFERERERHpCSWGfKw3fw8J9Rrnwjt241C4GM1De\nQ7dunbuvMKw/ODJC1m7g7syrOXTnHwdrCYvSu3/vveMj3Lr2PrJ/+f5k4ocxsGgRfOYzLtlbvDi8\nmZAcRTKMEZbEuHhwCaXF5yshFBERERFJACWFfaLiVLSlEsUPXcnIqGHcul66osm5YZ0Aq1fDY4+V\nv2ZgwCVzmQyX/2Zv1rKEXbiXHXmIRTvezYa193LTQzuQnf8310sYFrUfGoJly2D58qlkL0gKs5k7\nOGrvBydnIR2bGNCthAFN/ewnxc1PipufFDc/KW5+Utz81Im4GRue1EtTFixYYO+8885eN6O21asp\nnXQNCyeuZ4RZDDHK+oH9yS6ZD5de6noIM5mpXsKhITj7bFeb8JFH3JDS6P5hDDzjGa4nsFiEFSvc\nDDbGuOGg559f9t7R50vvPJ3c95YxOgqzBscpHn0F2cU7q7dQRERERKSDjDF3WWsXNPMa9RT2iWn1\nSUoleOQRsrPuZA1LWch61rCU7OyfuOeDUhSMj8OBB8KrXw3R6Wz32GOyp2+Ste51xWIwe83Q1Cym\n4XuGpmpRuNddcw3GujqIZnQUhodh4cLUl6RQPSA/KW5+Utz8pLj5SXHzk+LmJ9UplEll9UlKJZdw\nXXghpfHXsDRzLuvNm1k6cDalE77s7vcLE7pMBq65Bm6/Hb71Ldfjd9JJsHQpvP3t5W8SnTE0m3U9\nhh/4gHv8wgvLk7xsFo46yj0HFMfewNgYWGsYI0Nx4o1TCWaKqR6QnxQ3PyluflLc/KS4+Ulx85Pq\nFEplxeJkT2Bx/I2MTGTcPYUTGYpnBj2F69fDypUucRsbK3/9xIR7/XbbuZlEgzqG02YMzWbdLKZj\nY67HMZ7kLV7shptmMuRm3UZm0GKMJcM4uYFbVJJCRERERCQBVKewH4VDO0dGyGVuY2g8qFHIKLmJ\nG6C4xdSEMKWSmzBmZKR8HYODLqlbvHhquGil+/8i7zUtyQt7E4tFmPt2zIfdcFIzawiOXgK6p1BE\nREREpOeUFPajSDKWzeVYf8//UvzQleQmbnD3FOY+V75sseiGi95+u3vMGDjyyPIewQbeq2LimM1C\nNktxNcHwUdzso9svVj4oIiIiIpIASgr7VZCMlUpQ3AS58yC7aQuXEFZK3I4+eioptNZNNNPke9VS\nq0NRRERERER6R0lhn6hUnyScb8YlYvNZv35+9dxt0yZXo3Biwv3etKmj7Qs7FNet6+hqvad6QH5S\n3PykuPlJcfOT4uYnxc1PqlPYQz7UKYyWCsxk3Lwyy5dXWbg8gyyfUKaWUqn2PYcdeAsREREREWmM\n6hSmWKX6JNFSgg0N2TziCFdiopmEcOFCl3k2UHMwMimqqlEEVA/IT4qbnxQ3PyluflLc/KS4+Ul1\nCmVSpfok4ZDNlSvr5HmRuoZcemnjb9pklhfWszcGMgPj5B5Zl/ri9aoH5CfFzU+Km58UNz8pbn5S\n3PykOoVSVzY7VX2iqla78Jruigxr2VvM6CgMDzfUwygiIiIiIt2jpLDPlUru3sKaeVcLyR1Qvysy\n9ubFYliWwjBGhuLEGzWOVERERESkxzT7aB9reGKXerUGa6lWjqLCm+dyWVeWYrNlaGKUHDe5RFT1\nKUREREREekY9hX2sqVGhDY0zbe/NJzsWlzzC+lkHkDU/CseTioiIiIhIjygp7BOV6pO0Oiq0I6q8\neTYLOW6iOPYGSva1LmFMcfFC1QPyk+LmJ8XNT4qbnxQ3PyluflKdwh7yoU4hNFVGcEbevFSChfuO\nuyGkjLCehWRn3w033qiihSIiIiIibVKdwhSrVp+k06NCm1LhzYtFGBnLMM4gI8yiSM7NPpPSyWZU\nD8hPipufFDc/KW5+Utz8pLj5SXUKZZIvdWUmR5UOWIYYJTdwSw/GtiaHL3GTcoqbnxQ3PyluflLc\n/KS4+akTcdPso32sp0NHq5ia6NSQm/sg2U0HQu5zyWmgiIiIiEjKeJ0UGmNeCJwFvBkwwA+Bpdba\nR+q8bgGwBNgb2B74I3ALcJK19qGuNnqGNFyOopfmz4fs/F63QkREREQk1bxNCo0x/wTcAGwGjgAs\ncBpwozHmldbap2q8/L3Ay4GzgXuBfwZWAHcaY3a31v62q42fAZXKUSQhKfQiWRURERERSRFvk0Lg\nA8BOwEuttQ8AGGN+DvwKOAY4s8ZrP2utLbsj0xhzG/BQsN6Tu9LiGRTeuxcmX0m5ZS+pyaqIiIiI\nSFr5PNHMQcCPwoQQIBj6eRvwzlovjCeEwWMPAxtxvYbeidcnmSwUvzJZvXFl5QsHx8k9ss51H6aU\n6gH5SXHzk+LmJ8XNT4qbnxQ3P6W6TqEx5jHg29baY2KPfxF4j7V2XpPr2wX4BfBxa22h3vK+1ClM\nolIJiuseJnfREWTHb9U4UhERERGRDklbncI5wBMVHv8T8OxmVmSMGQQuwPUU/lf7TZt5PtWVyWYh\nx00UR19PafzVU+NIU8inuMkUxc1PipufFDc/KW5+Utz81Im4+XxPYSedC7wOONBaWynRBMAYswQ3\naylz5sxhwYLpCfi1117LvHnzGB4eZnh4eMaev++++9hll1169v7NPP/AA/PIfem9jNsBhvgk3xt/\nE5deein3XHVVIto3k8+HcUtq+/R85ecXLFjAvHnTByMkpX16vvLzo6Oj/OxnP0ts+/S8/8c3Pa/j\nm+/P6/jm5/P1jm+N8Hn46B+Ab7U7fNQYczqwDDjCWntZo++ftOGjCxYsIN6eJNYpBFi9GlascJPN\nZMw4K4/5HcvP36HXzeqJSnGT5FPc/KS4+Ulx85Pi5ifFzU/xuLUyfNTnnsJ7cWUl4nbF3RtYlzHm\nk8CJwAnNJIQ+SHLph/KZUTPkFqczIRQRERERSQKf7yn8DrCXMWan8AFjzI7A64PnajLGfBhX1/CT\n1tpzu9TGnqlU+iEpkjozqoiIiIhIGvmcFF4I/Ab4tjHmncaYg4BvA78F1oYLGWN2MMaMGWNOjjz2\nXmANcB1wgzFmr8jPrjP6V3RJWemHBNUpFBERERGRZPF2+Ki19iljzH7AWcBlgAHWA0uttX+LLGqA\nDOUJ8FuDx98a/ETdBOS61OyuqVanMIn3FCZ5aOtMUz0gPyluflLc/KS4+Ulx85Pi5qdU1ynstaRN\nNOMTTTQjIiIiItIdaatTKBE+1ZXJ5WBocJwMowzZzeQuOsJ1H6aQT3GTKYqbnxQ3PyluflLc/KS4\n+akTcVNS2CcOOOCAXjehYdksrD/yClaaU1jPQrLjtyZrJpwZ5FPcZIri5ifFzU+Km58UNz8pbn7q\nRNy8vadQ/JZdvDPZS4+durFQM+GIiIiIiPSEksI+ldTC9ZOSPBOOiIiIiEiKKCnsQ77M7lkiS5Es\nOSCBzRMRERERSQUlhX2oUuH6pCWFviSuIiIiIiL9ThPN9IlofRIfCtdXSlzTSPWA/KS4+Ulx85Pi\n5ifFzU+Km59Up7CHkl6nMOn3FKqnUERERESk81SnMMXi9UmyWVi+PLmJVjjPzMqV6U4IVQ/IT4qb\nnxQ3PyluflLc/KS4+Ul1CmVSxfokpRKsXp3YwvBJT1xnguoB+Ulx85Pi5ifFzU+Km58UNz+pTqFU\n58H4zKQPcRURERERSQMlhf0q4VOQepCzioiIiIikgoaP9qu5c2FgwP0kcArSspz1H+MU1z3c6yaJ\niIiIiKSSksJ+VCrB0qUu4xoYgDVrEtcNl8vB0OA4GUYZspvJXXREYu99FBERERHpZ0oK+0RZfZJi\nkdLmV7F6YhmlidfCpk29a1gV2SysP/IKVppTWM9CsuO3prJYoeoB+Ulx85Pi5ifFzU+Km58UNz+p\nTmEPJblOYWn4HhYe82JGGGKIEdavfZDskvm9btZ0urFQRERERKSjVKcwxaL1SYqb5jMysAXjDDIy\nsAXFTQlMCEHFClE9IF8pbn5S3PykuPlJcfOT4uYn1SmUSdH6JLkcDM02ZDLud8LmmJlUKsHqYpZS\nLr3FClUPyE+Km58UNz8pbn5S3PykuPlJdQqlorADLsk1ADVyVEREREQkGZQU9qlsNtlJ1vSSFL8j\nm92h180SEREREUkdDR+VnlBJChERERGRZFBSKD2hkhQiIiIiIsmg4aN9wse6MtnFO5O99NipGwuT\nOiNOF/kYN1HcfKW4+Ulx85Pi5ifFzU+qU9hDSa5T6JVSKdkz4oiIiIiIeER1ClPM27oy2SwsT29J\nCm/jlnKKm58UNz8pbn5S3PykuPlJdQplUrw+SakEq1cnf+4WX9rZLaoH5CfFzU+Km58UNz8pbn5S\n3PykOoVSkS81AH1pp4iIiIhIP1NPYR8qqwE4ktxJPX1pp4iIiIhIP1NS2IdyOdfzlskke1JPX9op\nIiIiItLPNHy0D2Wzbihm0if19KWdIiIiIiL9TElhn4jXJ8lm/UiyfGlnt6gekJ8UNz8pbn5S3Pyk\nuPlJcfOT6hT2UKLrFEZr/4G64kREREREUqKVOoXqKewTGzduZN68eeVTemYyYAyMjWl6z4SajJt4\nRXHzk+LmJ8XNT4qbnxQ3P3Uibppopk9M1ieJTuk5Opr46T1Vp1D1gHykuPlJcfOT4uYnxc1Pipuf\nVKdQpgun9KzUU5iw6T1Vp1BEREREpPeUFPab+JSekNh7CivVKUxYE0VERERE+p6Swn4Un9IzoZlW\ntFMzgR2ZIiIiIiKpoKSwD0UnH01oPgioTqGIiIiIeMaXE+0mKSnsE2F9Et/u01OdQtUD8pHi5ifF\nzU+Km58UNz8pbnUk9ERbdQp7KKl1ClevhhUr3H16mQysXAnLl/e6VSIiIiIinvPkRLuVOoUqSdEn\nNm7cCEzdp5fJ6D49H4RxE78obn5S3PykuPlJcfOT4lZHQk+0OxE3JYV9IqxPEt6nt3JlYnq0pQbV\nA/KT4uYnxc1PipufFDc/KW51JPREW3UKpSLf7tPr0/t1RURERKTf+Hai3SAlhdJTCb1fV0REREQk\nNTR8VHqqUgF7ERERERGZOUoK+1mp5GZJKpV63ZKqEnq/roiIiIhIamj4aJ+YVp/Ek3GZaS9gr3pA\nflLc/KS4+Ulx85Pi5ifFzU+qU9hDSa1TOMmTOioiIiIiItI5qlOYYtPqk2hcphdUD8hPipufFDc/\nKW5+Utz8pLj5SXUKZdK0+iQJraMi5VQPyE+Km58UNz8pbn5S3PykuPlJdQqltj6toyIiIiIiIp2j\nnsI+5MGko2V8a6+IiIiISD9RT2Gf8WTS0Um+tVdEREREpN+op7DP+FYM3rf2ioiIiIj0GyWFfSKs\nT+LbpKO+tbfTVA/IT4qbnxQ3PyluflLc/KS4+Ul1CnsoyXUKS8P3ULxqE7mD55JdMr/XzamrVEpv\n8XoRERERkU5SncIUm6xPUiqRXfpalq9/E9mlr/Vi9pZsFpYvT2dCqHpAflLc/KS4+Ulx85Pi5ifF\nzU+qUyiTJuuT6CY9r6gekJ8UNz8pbn5S3PykuPlJcfNTJ+KmpLDfpP0mPRERERERaYpKUvSbbNbV\nddBNeiIiIiIi0gAlhf0om1UyKCIiIiIiDfF6+Kgx5oXGmK8bY/5sjPmLMeYbxpjtG3ztKmPM9caY\nTcYYa4x5X5ebKzWUSrB6tRfz4oiIiIiI9BVvk0JjzD8BNwAvA44ADgd2Bm40xjyzgVWcAGwBfLdr\njZxBPteVKQ3fw8J9RllxkmXhwnQlhj7HLc0UNz8pbn5S3PykuPlJcfNTqusUGmM+ApwJvNRa+0Dw\n2IuAXwHLrLVn1nn9gLV2whjzL8FrjrTWXtLo+ye5TqFXSiVW730tK8ZOZpxBMgOWlacZli/vdcNE\nRERERPyTtjqFBwE/ChNCAGvtQ8BtwDvrvdhaO9HFts04b+vKFIvkJm5giBEyjDKUGUvVhKnexi3l\nFDc/KW5+Utz8pLj5SXHzU9rrFL4c+J8Kj98L7DrDbem5sD6Jd/fm5XJkZ/+E9QP7s3JwJevP/WWq\n5shRPSA/KW5+Utz8pLj5SXHzk+LWoISdcHcibj7PPjoHeKLC438Cnj3DbUmEUgkWLnQ164eGXGWK\nxCdYQQmNbLFINpeD7Pxet0hEREREpDIvT7jr8zkpnHHGmCXAEoA5c+awYMH0obrXXnst8+bNY3h4\nmOHh4Rl7/r777uPd7z6XkZEPMT5u2Lx5gne/+4s873mXJKJ9DT1/1VXJbl8Xnr/vvvvK9qOktU/P\nV35+48aNifr86/nGnh8dHQVIbPv0fPXj24IFCxLbPj1f+Xkd3/x8Xse3+s+PfPrTHPv00wwCY08/\nzQXvfjf//tOfJvr41gifJ5r5A/Ata+0xsce/CLzHWjuvwfX0xUQzCxYs4Jxz7uzHCxd9bcGCBSRp\nP5LGKG5+Utz8pLj5SXHzk+LWgAT2FMbj1spEMz73FN6Lu68wblfgFzPclkQIRmJSLEIu1/P9U0RE\nRESkv/TpCbfPSeF3gIIxZidr7a8BjDE7Aq8HPtHDdvVEWJ8km/Vz3yyV+u6z1RDVA/KT4uYnxc1P\nipufFDc/KW4NStgJd9rrFD4T+BnwNHASYIGVwFbAK621fwuW2wF4EDjVWntq5PX7APOA7YBzgPOA\nIoC19uv13j9pw0d9lsBeeBERERERL6WqTqG19ilgP+B+4DLgCuAhYL8wIQwYIMP0v/XTwJW4hBDg\nQ8H/r+xis7vG57oyxaJLCMfH3e9isdctmjk+xy3NFDc/KW5+Utz8pLj5SXHzU9rrFGKtfcRae7C1\ndmtr7VbW2kXW2t/ElvmNtdZYa0+JPZ4LHp/2M5N/Q6f4XFcml3M9hJmM+52m4vU+xy3NFDc/KW5+\nUtz8pLj5SXHzU9rrFEqf6NP7dUVEREREvKCkUBIhYffrioiIiIikhtfDR0VERERERKQ9SgpFRERE\nRCQZSiVYvdr9lhmj4aN9wuu6MmktUojncUsxxc1PipufFDc/KW5+6nncVKesJamuU9hrqlPYIcGH\nv7T5VRQH9iN33nvILpnf61aJiIiIyExbvRpWrHB1yjIZWLkSli/vdau8k6o6hVLO27oyxSKlza9i\n4cT1rBg7mYXHvyxVowW8jVvKKW5+Utz8pLj5SXHzU8/jluY6ZW1IfZ1CmRLWJ/FuGHYuR3FgP0YY\nYpxBRsYHU1W8XvWA/KS4+Ulx85Pi5ifFzU89j1tYp2zlSg0dbcKM1Sk0xvy6xfU/bq3dq8XXSpO8\nHIadzZI7b0uGjreMjFuGZhtdFBIRERERmUGNTjTzLOA7Lax/7xZeIy0qFl1COD7ufheLHiSFQHbJ\nfNbPT+1cMyIiIiICnvZw9IdGk8JHrLVHNrtyY8zdzb5GWhcOww4/Rz71uKl4vYiIiEjK+drD0Qca\nTQpbTe6UFM6gcBi2etxERERExDs+93B4rqGk0Fp7VCsrb/V10rywPol63PzS83pA0hLFzU+Km58U\nNz8pbn7qedzUw9ES1SnsIdUpFBERERGRpFGdwhTreV2ZDvCunEYH9EPc0khx85Pi5ifFzU+Km58U\nNz/NSJ1CY8yLjTE3GmN+bYw50xjzjMhzt7fdAumInteVaVNp+B4W7jPKipMsCxemJzH0PW5ppbj5\nSXHzk+LmJ8WtTT26Uq64+akTcWukp/A84BvAe4B5wA+NMVsGz81quwUipRLFD13JyKhhfMIwstmm\nqoC9iIiIyKSwLMOKFaTqSrn0VCNJ4bbW2nOstXdZaw8HfgD8wBizFaAbEqV9xSK5iRsYYoQMowxl\nxjTZlIiIiKRTpbIMIl3WyOyjW0T/Y639tDFmHLge2LLyS0SakMuRnb2S9Zv3pziwH7lz30M2O7/X\nrRIRERGZeSrLID3QSFL4K2PMftbaG8IHrLWnGWMywKe61zRJjWD64WyxSDaXAyWEIiIi0s9Kpepl\nF1SWQXqgkaTwcCoMEw16DK/sfJOkFT2vK9OulBZY9D5uKaW4+Ulx85Pi5ifFrYbwnsGwJ3D9+sqJ\nYQ/Oi3oat1qJstSUqDqFxpiXALsCt1trH+3IShNMdQpFREREEi6Jicbq1W4SmfFxyGRg5UpYvrx8\nmVrtTuLf1K5GEmVp2IzVKTTGHB2UqDgp+P9BwP/gZin9pTHmda2sV1qnujJ+Utz8pLj5SXHzk+Lm\np0TELamzeIb3DGYyle8ZHB6GffaBk06a3u4u/009i1t0cp1//APWretNOzw1I3UKqzgcKABnBP9f\nDdwH7AmcBJzWdsukKf1QV6Y0fA+r31KkNHxPGyvpTV2fVvVD3NJIcfOT4uYnxc1PiYhbUmfxDO8Z\nXLlyeo9YqQQf+hCMjsLEBGzeXN7uLv9NPYtbLueSZABr4eKLvTmXS4JOxK2Rewor2dpa+0UAY8xu\nwC7AO621dwN3G2Pe33bLpGk+jyYoDd/DwmNezAi7MHT9COu5h+ySJiec0dADERERCXVzFs9GTrrq\nTSZT6XXFoksGQ5lMebv7dWbSbBaOOgrWrnVJ4diY2xY6j5sxrSaFUYcAjwPXRB4b7cB6pQl/+9t8\nr/Oh4lWbGGEXxhlkBEvxqk1km71nttLVM582goiIiHROt2bxbOQidKsXqnM5mD3b9RAODMC555a/\nrp9nJl28GC69tP8SXk+0mhT+3hizHHgIOBZYa62dADDGvKZTjZPG/fWve3qdD+V2f5Kh60cYwTLE\nKLmD57awklx/Xj0TERGR1nRjFs9GLkK3eqG6kaSvX2ds7+eE1wOtJoUfA64GXgzcC5wOYIxZg0sS\nV3ekddKwrba6iyee8DQfKpXInnMI680eFE2OXP7VZJcsan49+jIRERGRbgsvQm/eDMbA3AoXstu5\nUN2vSV8j0vy391hLSaG19pfAzsaYudbaTZGnPgOcBfyhE42Txn30o1nmz/c0HwqupmXtBrIDP4Zt\nVgItJIXQvS+TLt2wqTpOflLc/KS4+Ulx81Nfxy2bhTVr4PjjXU/g0qUwf35fDPPs67j1sRmtU2iM\neQNwm+1UYUPPJbZOoY+zzZRKrr2jozBrVvLGvmoCGxERkeTqxblPI7UG62mn3cPDcNVVcPDBoERO\nYlqpU9hMT+H1wN+NMdcB3wWus9Y+2cybSfds3LiReQ884G/yYkz57yTp4gQ2GzduZN68eR1Zl8wc\nxc1PipufFDc/zVjc6l24bSfxqvXaducxaOeC84knwhlBVbjrr3e/O5QY6vPmp07ErZk6hXOBo4Cn\ngBk5nUUAACAASURBVM8BjxtjbjLGfNwYs2tbrZC2HXDAAcmtx1NPseimHo5OQZwk9YrMtiERdZyk\naYqbnxQ3PylufpqxuNU692mn0Hu914ZDSBcudL9rlaWoVD+51XO2UgkKhfLHrrqqsdc2QJ83P3Ui\nbg0nhdbap62137HWHmOtfSHwWuAHwLuAnxtjHjTGnG2M2d8YM9R2y6R5XUxeuirS7lLmDax+5JDu\n1SutVdy+2nO1isyKiIjMtFrHsmaW6dZ7z6Ra5z7tXCyPvnbzZjjllPK/uVRy9xKuX+9+V9oew8Ow\nzz5w0knTE8tWz9mKRXcRPerggxv/uyR5+3BCtFynMCxUD5xmjJkHHBj8fA0YMMasB6621l7UkZZK\nfZ7e1By2u7TuVyy8+FBGLswwdGmN/KvVoSC1hmrUG8bR7gQ2Pt7rKSLSL/rpO7ibNfI68d61XttO\nDKq9PuyxC++viz7XzhDPXM4lbOPjrpj8D38It9wy9TfXu7WkVIIPfciNgAKXWEaXafWcLZeDZzwD\n/vEPd8tNPq97CpsR3YczGTjqKFcf0ffvhQ7oRPF6rLUbgUuAS4wxg8DewDuAZYCSwpnk61S+2SzF\ndc9nZMQwbmvcutfOAanWF3gj9w12Ixlt9PX9cjIjIjLT+m2ysG7WyIPax5xW19uJ42Cti7pLl7rn\nbrmlfBbQdi+WR+c5mJgo/5vrJZzFontNKJOZvky1c7ZaMfC1AyApovvw+DisXQuX1uqJSI+OJIVR\n1toxY8yR1trDgf/X6fVLnyqVyF20nCH7PUaYxdDgALlcZvpy7Rzoan2B1/ty71YyWk8nTmaUVIpI\nmnVxsrCeaKT3q9UesnrHnFbXG43BP/4B69Y1F4N169zrbIWrxvXiW+9iebVjZDjfQciY8r+5XnI2\nd65LBK11v889t3MJtK8dAEmQy8HgoNtfoPI+lVItJ4XGmH8B9gG2A+Jn7wvbaZQ0z/u6MsUi2fFb\nWc9CiuxL7oBtyGaXTV+ukeSt1tW1akNMwi/3deuqtq/uMJEWZiirG7d671tvSup+u0KekATX+89b\nSnU9bgnZP/tN23Frd5bIpGmkp6jV3qRGEqxqx9GYsrhFh2JaCxdf3PiQvVIJLrpo6j66gYHmLurW\nW3e1Y2R0vdWGGdbq6Vu6dKpcxXnnNT7Es8cXMVJxfIvekzkw0BffCx2Jm7W26R/gg8A4MFHlZ7yV\n9fr0s+eee1rpoA0brB0astZ9VK2dPds9Vm3ZVaumP79hg7VbbGFtJuN+N/v82rXWzppl7cDA9Odr\nvbbeemu1uZHnqq177dqp7QXu/3GrVrnXgvu9atX0ZXzRyHYW6RXtn8lW63u2H9+3Ve0eR2s59lhr\njWn+eLRqlTsuh8e6TKZyu1rZzvWOkb1Yr75LOiPcxmvXlv8+9tip2AwMWLv//n25jYE7bZO5Tas9\nhcuADwFXWms3xZ80xtzd4nqlRd7Xlclm3VW4tWvLS1M0c3Ws3tW1Ws+3c0N4G72IT3zvezz73e+u\nPcFNtfeNT0F91VXTr0Qm+Qp5s70qCRoC5v3nrV80uQ91NW4J2j/7TUfi1ovhdo1OCJOk3uV6PYxN\n7OfT4rZ4sbt3q9njUS7nenPC+/OsbX6IaK11Dw25Y74xbshnVKvrnTvXtdna6X9rIxPbtXPPYJv7\nVF8c38JtvHmz22+McbEYGHBDRweD9GdoyM0qm4TPXps6Erdms0iXfHJHnedf0cp6ffpJWk9h0trT\nkkZ73FrtsQufHxiwdnCwvGctfiVy1qzGrxzVWm+dNp3z/Oe33pO3bFl5T+GyZdXb160r1a2uu5Ur\noQm6etoXnzfftbA/TMatG5+JdvdP33qUZpC3n7dGeou69Z3Wrf2piTZXjFu9dlV7vtZInnYtW+bW\na0xn1l3rnMDa7o7g6cA+5e3nLSq6jeM/mYzrLeyz79t43JjBnsJvGmPmW2vvqfL8McAJLa5b0iqb\npbTmxxSv2kTu4Llks/OnL1PrKmW9+wLDeyGOP969funSqVnKcjmYPdtdVRoYqHxDeL3psCutt85V\n1bu22gqeeKK1nrxttim/+rXNNtPbG26Lbky33M79irUmDahGM65JVK9mQaymnf2z3+79FaeR2Sm7\n0bvczf2p3e/hWj1vtdq9ZIk7rnb6+79UgjPPnOqFjI8SakUY17CH6u67XU28sN3dHMHTTyMW2unx\njPYAx3sKh4bcORFM1a30dRt1WEtJobV2lTHms8aYFwMPAH+PLXIwSgqlSaUSLFw6331P3gLr51f4\nnDbyZRoOT6k0xfCmTe4LIj61dL0DXb2DbLX11mnvPVtu2foBNqxVVGndpZL7/8iI+//FF8ONN3b2\ni6+dk/LopAGDg40fFOudUChh7H9hnOfObX8WxE6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8EbxXpvc5NJhXHm30kcfM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\n5QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5ff3dce8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.tick_params(labelsize=16)\n",
"plt.plot(tVals, aVals, 'r.')\n",
"\n",
"plt.plot(tVals, acceleration(tVals), 'b.', lw=3)\n",
"\n",
"plt.grid(b=True, which='major', color='black', linestyle='--')\n",
"\n",
"plt.gcf().subplots_adjust(left=0.15)\n",
"plt.title('Rörelsemätning under hisstur uppåt - Acceleration\\n', fontdict = fontHeader)\n",
"plt.xlabel('Tid [s]', fontdict = fontAxis)\n",
"plt.ylabel('Acceleration [m/s$^2$]', fontdict = fontAxis)\n",
"\n",
"# Tweak spacing to prevent clipping of ylabel\n",
"plt.subplots_adjust(left=0.15)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Hastighetsgraf, positiv riktning uppåt\n",
"Genom att integrera den anpassade accelerationsfunktionen erhålls hur hastigheten varierar med tiden."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Ren7e2kjmMtIY9rTDwhUTXDaRxrDU9ud1qh7XbnRsY/HFvf32p/0amy3Fa3leLcarazG+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\nPb+LY3Wzr9r0qt/LunXj4+XLYf78nhxWU7BPT07mlpO55WR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2ewEb6p6EumZu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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5ff3c2de48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Beräknad medelhastighet: 0.4 m/s.\n"
]
}
],
"source": [
"plt.tick_params(labelsize=16)\n",
"plt.plot(tVals, vVals, 'b', lw = 3)\n",
"plt.grid(b=True, which='major', color='black', linestyle='--')\n",
"\n",
"plt.gcf().subplots_adjust(left=0.15)\n",
"plt.title('Rörelsemätning under hisstur uppåt - Hastighet\\n', fontdict = fontHeader)\n",
"plt.xlabel('Tid [s]', fontdict = fontAxis)\n",
"plt.ylabel('Hastighet [m/s]', fontdict = fontAxis)\n",
"\n",
"# Tweak spacing to prevent clipping of ylabel\n",
"plt.subplots_adjust(left=0.15)\n",
"\n",
"plt.show()\n",
"\n",
"print('Beräknad medelhastighet: {:.1f}'.format(averageVelocity), 'm/s.')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lägesgraf, höjd över bottenplan\n",
"Genom att integrera hastighetsfunktionen så erhålls en funktion som visar läget vid olika tidpunkter. Ur denna kan även medelhastighet och förflyttning (dvs höjden) som hissen undergått."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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XXsovHzgQbrjBRbfV+9htUpIkSU0hRrj4Ythgg9qJ20YbwVNPmbipdzJ5kyRJ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5ff3bfe1d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Beräknad förflyttning: 14.5 m.\n"
]
}
],
"source": [
"plt.tick_params(labelsize=16)\n",
"plt.plot(tVals, position, 'b', lw = 5)\n",
"plt.grid(b=True, which='major', color='black', linestyle='-')\n",
"\n",
"plt.gcf().subplots_adjust(left=0.15)\n",
"plt.title('Rörelsemätning under hisstur uppåt - Höjd\\n', fontdict = fontHeader)\n",
"plt.xlabel('Tid [s]', fontdict = fontAxis)\n",
"plt.ylabel('Höjd över bottenplan [m]', fontdict = fontAxis)\n",
"\n",
"# Tweak spacing to prevent clipping of ylabel\n",
"plt.subplots_adjust(left=0.15)\n",
"\n",
"plt.show()\n",
"\n",
"print('Beräknad förflyttning: {:.1f}'.format(displacement), 'm.')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Tryckvariationen\n",
"Tryckets variation med tidenräknas om till variationen över den faktiska förflyttningen. Det visade sig vara fruktlöst att använda samtliga värden värden då mätning gjordes 50 gånger per sekund. Här reduceras antalet värden till 1 av 100."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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mHjHbjWykRTMzM79rBDuF4YwHuCVJkjScXcex08y8EDhsiHFXUk4VHWab0WfZ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"text/plain": [
"<matplotlib.figure.Figure at 0x7f5ff3b87160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.tick_params(labelsize=16)\n",
"plt.plot(positionRed, pValsRed, 'rx', ms = 16)\n",
"#pylab.xlim(0, 15)\n",
"plt.grid(b=True, which='major', color='black', linestyle='--')\n",
"plt.gcf().subplots_adjust(left=0.15)\n",
"plt.title('Lufttrycksmätning under hisstur uppåt\\n', fontdict = fontHeader)\n",
"plt.xlabel('Höjd över bottenplan [m]', fontdict = fontAxis)\n",
"plt.ylabel('Tryck [kPa]', fontdict = fontAxis)\n",
"\n",
"# Tweak spacing to prevent clipping of ylabel\n",
"plt.subplots_adjust(left=0.15)\n",
"\n",
"plt.savefig(\"tryck.pdf\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Beräknade tryckförändringar i olika faser av hissfärden\n",
"Nedan syns hur tryckförändringen per höjdenhet varierar med accelerationen. Det är en konsekvens av luftens tröghet; den \"hinner inte med\" hissens acceleration."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"*BERÄKNADE TRYCKFÖRÄNDRINGAR PER HÖJDENHET UNDER UPPFÄRD*\n",
"\n",
"*Startfas (0.0 - 2.5 sekunder)*\n",
"h1: 0.00 m.\n",
"h2: 0.64 m.\n",
"Tryckförändring per höjdenhet: -0.37 Pa/m\n",
"r^2-värde: 0.46\n",
"Antal mätvärden: 124\n",
"\n",
"\n",
"*Mellanfas (5 - 27.0 sekunder)*\n",
"h1: 1.86 m.\n",
"h2: 12.77 m.\n",
"Tryckförändring per höjdenhet: -11.47 Pa/m\n",
"r^2-värde: 1.00\n",
"Antal mätvärden: 1099\n",
"\n",
"\n",
"*Slutfasfas (29.0 - 31.0 sekunder)*\n",
"h1: 13.77 m.\n",
"h2: 14.45 m.\n",
"Tryckförändring per höjdenhet: -17.17 Pa/m\n",
"r^2-värde: 0.83\n",
"Antal mätvärden: 100\n"
]
}
],
"source": [
"timeIntStart = timeSel(0, 2.5)\n",
"timeIntMid = timeSel (5, 27)\n",
"timeIntStop = timeSel(29, 31)\n",
"\n",
"posSelStart = position[timeIntStart[0]:timeIntStart[1]]\n",
"pressureSelStart = pVals[timeIntStart[0]:timeIntStart[1]]\n",
"\n",
"posSelMid = position[timeIntMid[0]:timeIntMid[1]]\n",
"pressureSelMid = pVals[timeIntMid[0]:timeIntMid[1]]\n",
"\n",
"posSelEnd = position[timeIntStop[0]:timeIntStop[1]]\n",
"pressureSelEnd = pVals[timeIntStop[0]:timeIntStop[1]] \n",
"\n",
"m1, b1, r1, p1, e1 = stats.linregress(posSelStart, pressureSelStart)\n",
"m2, b2, r2, p2, e2 = stats.linregress(posSelMid, pressureSelMid)\n",
"m3, b3, r3, p3, e3 = stats.linregress(posSelEnd, pressureSelEnd)\n",
"\n",
"print('*BERÄKNADE TRYCKFÖRÄNDRINGAR PER HÖJDENHET UNDER UPPFÄRD*\\n')\n",
"\n",
"print('*Startfas (0.0 - 2.5 sekunder)*')\n",
"print('h1: {:.2f}'.format(posSelStart[0]), 'm.')\n",
"print('h2: {:.2f}'.format(posSelStart[len(posSelStart) - 1]), 'm.')\n",
"print('Tryckförändring per höjdenhet: {:.2f}'.format(m1*1000), 'Pa/m')\n",
"print('r^2-värde: {:.2f}'.format(r1**2))\n",
"print('Antal mätvärden: {}'.format(timeIntStart[2]))\n",
"\n",
"print('\\n')\n",
"print('*Mellanfas (5 - 27.0 sekunder)*')\n",
"print('h1: {:.2f}'.format(posSelMid[0]), 'm.')\n",
"print('h2: {:.2f}'.format(posSelMid[len(posSelMid) - 1]), 'm.')\n",
"print('Tryckförändring per höjdenhet: {:.2f}'.format(m2*1000), 'Pa/m')\n",
"print('r^2-värde: {:.2f}'.format(r2**2))\n",
"print('Antal mätvärden: {}'.format(timeIntMid[2]))\n",
"\n",
"print('\\n')\n",
"print('*Slutfasfas (29.0 - 31.0 sekunder)*')\n",
"print('h1: {:.2f}'.format(posSelEnd[0]), 'm.')\n",
"print('h2: {:.2f}'.format(posSelEnd[len(posSelEnd) - 1]), 'm.')\n",
"print('Tryckförändring per höjdenhet: {:.2f}'.format(m3*1000), 'Pa/m')\n",
"print('r^2-värde: {:.2f}'.format(r3**2))\n",
"print('Antal mätvärden: {}'.format(timeIntStop[2]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Den linjära delen av tryckförändring\n",
"I diagrammet nedan visas den del av tryckförändringen som är linjär. Den visar sig hänga ihop med att hissen går i konstant hastighet."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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V+Sa63TVvfLfo9suKtotWCrfK2S5W4tIn5fDDYfp0OPbY7NiXX/pzEPv0gZ9/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rzrdK5a5WO8do1nF7Sff34aa3jeeUsz2PpzUWhmZmZmZuUZSGE4fTrsvjvv/dV/cetdK9A658sj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\nZmZmZmYN9v8B2JyL7olq200AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5ff3a94780>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Beräknad tryckförändring per meter: -11.5 Pa/m\n",
"r^2-värde: 1.00\n"
]
},
{
"data": {
"text/html": [
"<a target = blank href=\"https://www.smhi.se/kunskapsbanken/meteorologi/lufttryck-1.657\">SMHI:s värde: ca -12.5 Pa/m</a>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.tick_params(labelsize=16)\n",
"timeInt = timeSel(2.5, 30, 1)\n",
"timeTics = tValsRed[timeInt[0]:timeInt[1]]\n",
"positionTics = positionRed[timeInt[0]:timeInt[1]]\n",
"pressureMarks = pValsRed[timeInt[0]:timeInt[1]]\n",
"xi = np.arange(0, 15)\n",
"\n",
"m, b, r, p, e = stats.linregress(positionTics, pressureMarks)\n",
"line = m * xi + b\n",
"\n",
"plt.plot(positionTics, pressureMarks, 'rx', ms = 16)\n",
"plt.plot(line, linestyle = '-', color = 'b', linewidth = 3.0)\n",
"\n",
"#pylab.xlim(0, 15)\n",
"plt.grid(b=True, which='major', color='k', linestyle='--')\n",
"plt.gcf().subplots_adjust(left=0.15)\n",
"plt.title('Lufttrycksmätning under hisstur uppåt\\n', fontdict = fontHeader)\n",
"plt.xlabel('Höjd över bottenplan [m]', fontdict = fontAxis)\n",
"plt.ylabel('Tryck [kPa]', fontdict = fontAxis)\n",
"\n",
"# Tweak spacing to prevent clipping of ylabel\n",
"plt.subplots_adjust(left=0.15)\n",
"\n",
"plt.show()\n",
"\n",
"print('Beräknad tryckförändring per meter: {:.1f}'.format(m * 1000), 'Pa/m')\n",
"print('r^2-värde: {:.2f}'.format(r**2))\n",
"\n",
"display(HTML(\"\"\"<a target = blank href=\"https://www.smhi.se/kunskapsbanken/meteorologi/lufttryck-1.657\">SMHI:s värde: ca -12.5 Pa/m</a>\"\"\"))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"*Detta webbdokument är gjort med [Jupyter Notebook](http://jupyter.org), ett verktyg som integrerar kod, diagram, beräkningar, text och bild i ett och samma dokument.*"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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