{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Praktikumi nimi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tudengi Nimi \n", "Kuupäev \n", "jne" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# laadime vajalikud töövahendid\n", "# see lahter tuleb alati esimesena käivitada töölehe avamisel\n", "import numpy as np\n", "from numpy import sqrt, exp, log, sin, cos, tan, polyfit\n", "from scipy.optimize import curve_fit\n", "import pandas as pd\n", "pd.set_option('display.max_rows', 20)\n", "from matplotlib.pyplot import *\n", "from matplotlib import rcParams\n", "rcParams['figure.dpi'] = 100\n", "rcParams['lines.markersize'] = 4\n", "rcParams['font.size'] = 12\n", "rcParams['axes.prop_cycle'] = cycler('color', 'brgmyk')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Eksperimendi kirjeldus" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Siia võiks midagi kirjutada ..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](katse.jpg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Katseandmed" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Avades andmefaili tekstiredaktoriga, näeme et esimesed 7 rida andmeid ei sisalda, kümnenderaldaja on koma, andmetulpasid on 4 tükki ja need on eraldatud tabulatsioonisümboliga. Selliste andmete lugemiseks sobib `pandas.read_table` (veidi lihtsamaid andmeid võiks lugeda ka funktsiooniga `numpy.loadtxt`).\n", "\n", "(Mistahes funktsiooni kohta lisainfo saamiseks guugelda vastavaid märksõnu, näiteks `pandas read_table`.)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tT1T2T3
10.022.122.022.9
20.522.122.023.0
31.022.222.023.1
41.522.322.123.2
52.022.322.123.2
62.522.422.223.3
73.022.422.323.4
83.522.522.423.5
94.022.622.523.5
104.522.622.623.6
...............
472235.572.746.866.6
473236.072.846.866.6
474236.572.946.866.7
475237.073.046.866.7
476237.573.246.966.8
477238.073.346.966.8
478238.573.447.066.9
479239.073.547.066.9
480239.573.547.167.0
481240.073.747.167.1
\n", "

481 rows × 4 columns

\n", "
" ], "text/plain": [ " t T1 T2 T3\n", "1 0.0 22.1 22.0 22.9\n", "2 0.5 22.1 22.0 23.0\n", "3 1.0 22.2 22.0 23.1\n", "4 1.5 22.3 22.1 23.2\n", "5 2.0 22.3 22.1 23.2\n", "6 2.5 22.4 22.2 23.3\n", "7 3.0 22.4 22.3 23.4\n", "8 3.5 22.5 22.4 23.5\n", "9 4.0 22.6 22.5 23.5\n", "10 4.5 22.6 22.6 23.6\n", ".. ... ... ... ...\n", "472 235.5 72.7 46.8 66.6\n", "473 236.0 72.8 46.8 66.6\n", "474 236.5 72.9 46.8 66.7\n", "475 237.0 73.0 46.8 66.7\n", "476 237.5 73.2 46.9 66.8\n", "477 238.0 73.3 46.9 66.8\n", "478 238.5 73.4 47.0 66.9\n", "479 239.0 73.5 47.0 66.9\n", "480 239.5 73.5 47.1 67.0\n", "481 240.0 73.7 47.1 67.1\n", "\n", "[481 rows x 4 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tabel = pd.read_table('katse.txt', skiprows=7, decimal=',', sep='\\t',\n", " usecols=(0, 1, 2, 3),\n", " names=('t', 'T1', 'T2', 'T3'))\n", "tabel.index += 1 # muidu algavad reanumbrid 0-st\n", "tabel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tulemuseks on `pandas.DataFrame` objekt, mille atribuut `values` annab kõik arvandmed kahemõõtmelise NumPy massiivina (`ndarray`)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(481, 4)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tabel.values.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Edasiseks andmetöötluseks eraldame veeruvektorid. Algses massiivis andmed on ridadekaupa. Et saada veergudekaupa, tuleb massiiv transponeerida:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "481" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t, T1, T2, T3 = tabel.values.transpose()\n", "len(t) # andmevektori pikkus peab olema sama mis enne oli ridade arv" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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P59lnn2XIkCHMmDHjqpaDIUOG2L/XWtO+fXtCQ0MJCAhg1apV9O7dm1q1alGnTh0A7rzz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\n0qqX2H9+PwD31buP2d1n08S/iYNLJsq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TKfR8qKf3AlJKeUSqEhJjzB1AqUSbKhtjkhYi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(t, T1, label='katse #1')\n", "plot(t, T2, label='katse #2')\n", "plot(t, T3, label='katse #3')\n", "xlabel('aeg (s)')\n", "ylabel('temperatuur (°C)')\n", "title('katsetulemused')\n", "legend()\n", "grid()\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arvutused" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tähistame kasuliku kuumutusvõimsuse $N$, vee massi $m$ ja erisoojuse $c$, toatemperatuuri $T_0$ ja loeme soojuskadude võimsuse võrdeliseks temperatuuride vahega (võrdetegur $k$), siis $$N\\,dt=mc\\,dT+k(T-T_0)\\,dt.\\qquad (1)$$ Madalatel temperatuuridel soojuskaod on võrdlemisi väikesed, nii et viimase liikme võib ära jätta ja temperatuur kasvab lineaarselt: $T(t)\\approx T_0+a t$, kus $a=N/(mc)$. Sobitades sirge läbi andmete algusosa, saame leida $a$. Valime teatud arvu punkte andmeseeria algusest:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "29.5" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 60 # mitu punkti algusest võtta\n", "t[n-1] # millisele maksimaalsele ajahetkele see vastab ?\n", " # vajadusel korrigeerime n väärtust" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Edasisteks arvutusteks valime välja ühe andmeseeria, näiteks `T1`." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "T = T1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sirge on 1. järku polünoom, ja suvalise polünoomi sobitab läbi katsepunktide `numpy.polyfit`. Alam-massiivi saame välja eraldada viilutamise (*slicing*) teel, näiteks `t[0:n]` tagastab ajavektorist esimesed `n` elementi." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tõus = 0.3479 °C/s\n", "algtemp. = 21.29 °C\n" ] } ], "source": [ "t_algus, T_algus = t[0:n], T[0:n]\n", "\n", "a, T0 = polyfit(t_algus, T_algus, 1)\n", "print('tõus = %.4g °C/s' % a)\n", "print('algtemp. = %.4g °C' % T0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Võrdleme lähendussirget andmepunktidega. Aritmeetilisi tehteid jm matemaatilisi operatsioone saab teostada tervete NumPy massiividega (st need operatsioonid on vektoriseeritud)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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FCRPck5DRo3OfiJRC69bBrbdC06bw/fdQowbMmZPwRbETlroqiUhUhDPo2Rg4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\nuXN3/SmGZlCaOLGQNm32zB7UDumnNqgcytsOaqcMNnQozJv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F+MEL0QY4Fxf7R+QAZ1BP\ngohIqr3+uu9xGFWjJ412/OTX2enZM91hiYiUSX2ilUhpKziHti2541keXuaThiF0odUPL0NWdpnn\njjbAWYOcRURSa/t2eOQROIPZ3BoY4TeOHAm1qu9i2CJSfShxqCQiBzM7F7Gth8P16ctxLz0AwEAe\n5h4bzNLvszTAWUSkihg6FFYtDzA653bMOejQAZI877qISKLoVqVKovQVnB1XzeuOzfOTifRkAAPp\nCQ6KC/e8BUkDnEVEKp/8fBgwAO7nWY4r/C80bAjPPFP2gSIilYQShxSZOhXuvhsGD4ZWrXZ/ft55\nJa/gnJNVzODiznRiJAD32AsMct12njd0C1LnzrtmRhIRkcpnwADYd8NS+lo/v/71c8/tsVCniEhl\npluVUiDyNqTi4tLXWAgNcF4wr5C/FXekEyMpxvgLL++WNIBuQRIRqQpWrIChQxwj6EQtt91/YnTj\njekOS0QkJupxSIHI25AGDix7jYVcdvA613EFb1FINjcyljftWppGrLsAugVJRKSyGzsWrgi8Thvy\ncDVrYiNGqJtYRKocJQ5JUNptSFlZ8Pjjpa+xUIttvMXlXMgHFFCDq/gn/+Zi0LoLIiJVjnPw71fy\neZd7AbDeveGYY9IclYhI7JQ4JFjkbUn9++/qXQCfIGzduvvz8DUWsrb8SpN721Nv/kcU1azN8ufe\npc8ZrekTLK/eBRGRqmX+fLj1m+7sz1qKfns82d27pzskEZG4aIxDDKZNM7p0acG0abu6lyPXWYi8\nLSl0G1Jpdq6xcMQvnNS9NfXmfwT16pGdN5lj7mqtdRdERKqw/wz8iL/wdwCyX3oRatRIc0QiIvFJ\ne+JgZi3N7O9mttjMtpjZSjN718xOCSuTbWb3mdkkM1thZlvN7Gsze8LM9k5FnM5Br15ZrFhRn169\nsvZcZyE46Dl0WxJEvw0pmuJi2PrDGlyLFjBnDuy7L0yfDmefnfyKiYhI0mz9pYAL3r0DgOUX3AFn\nnZXmiERE4lcZblXqBDQEBgFfAY2A+4FPzex859x0oDbQF3gDeBlYBzQDegHtzexU59y2ZAY5ZQrM\nn+/zrPnzsyLWWdhz0DPseRsS+DUWfvnF5wahdRZy16zkuK6tyFq02G/My4MTT0xmdUREJAUWXDWQ\ns4qWsCb7QA76xxPpDkdEpEIqQ+LQ2Tm3JnyDmU0CvgV6AtOBbcCRzrn1YcVmmNly4F/A5cCryQrQ\nuVBPgqOoyMjOdvTq5W9Xihz0HDk7UpnrLHz/PVxxnv/auLG/5+nYY5NVFRERSRH39WJOmzoQgP/d\nNogWjVLSQS4ikjRpTxwik4bgts1m9hXQOPi8CFgfWQ74LPi1cfIiDB+34N/5FxUZ8+btXiZy0HP4\n9tA6C3sMal6yxE+7tHIlNGkC06bB4YcnowoiIpJKxcX8cvUd7MsOJmVfyNlPX5nuiEREKiztiUM0\nZtYAfyvS9DKKtgx+/V8Z56sJhL9trwcQCAQIBAKl/gDn4JFHssnKMoqLw7sMXOjsYT/HcdxxjtGj\ni3brXWjUyPc87PajvviCnAsvxNauxf32txROmgQHHRRRSKIJtVlZbSfJozaoHMrbDmqn1Cv+22j2\n/XImW6jDZzcNo+1eWrNBRKq+Spk4AMOAusCAkgqY2SHAE8A84P0yztcDds5outOUKVOoU6dOqQcG\nAlksXdqa4uJakRHsUdY546efCvjxxzxyc3fdr/TTT7Bo0a5y+3zzDWf064dt2cKGo45ido8e7Fiw\nABYsKKMaEi4vLy/dIWQ8tUHlUFY7bI3WHSrJs2YNgXu7UxN4vGZ/7n3qiHRHJCKSEJUucTCzR4Hr\nga7OufkllNkXmIh/9361c66MeYsYCDwX9rwesKJNmzbUr1+/zJiaNYN16wIEAoXMmTOH008/nfx8\n/6sLDXAOadQom0MPbVviuWzmTLL798e2bKH4j3+k7r//TasGDcqMQXYJBALk5eXRunVrcnNz0x1O\nRlIbVA7lbYdNmzalMCopuvteam75hc85mfq9u7HffumOSEQkMSpV4mBmffAzJT3inBtaQpl9gDzg\nEKClc+67ss7rnCsACsLOAUBubm653vQcdZR/BAKwbt1G/vCHnPjeLE2aBJdeCtu3Q8uWZL37Lll7\n7RX7eQQof/tJ8qgNKoey2kFtlEKTJ5P95usUkUXv/Ucx7r5K9TIrIlIhaV/HISSYNPQF+jrnHi+h\nzD7AVOBIoLVzblG0cpXS+PFw0UU+aWjXDiZMACUNIiLVx9atbOnQCYAhdOX650+ldu00xyQikkCV\nInEws974pOEx51y/EsqEkoajgDbOuaozIODVV+Gqq3yXxVVX+SSiVuSYCRERqcp+ubc/dVd/z48c\nypouj3LddemOSEQksdLeh2pm9wP9gUnABDM7I3y/c+5TM6sNTAZOBu4BciLKrXXOLU1VzDF58UXo\n1MlPz9SxI7z88q6lpUVEpHpYtIj6Lz0DwNOHD+OxAfXSHJCISOKlPXEA2ge/tg0+IhlwAHBa8Pmg\nKGX+AXRMeGQV9dxzcP/9/vsuXWDQID8vq4iIVB9FRWy76XZquyLGcxmdJ19EOebdEBGpctKeODjn\nzi1HmR+INv9pZeUcPPoo9AnOAPvww35Z6ahLR4uISJU2ciS1v5jDJuox/tzBXPabdAckIpIcaU8c\nqh3n4MEH4RnfZc2AAdCzZ3pjEhGR5Fi5kuKHe5AF9GAgl3U9JN0RiYgkjRKHRCou9rckjRjhnz//\nPNxzT3pjEhGR5Ln7brI2/8qnnM78U+9k6KXpDkhEJHmUOCRKYSHccguMHetvSRo1Cm69Nd1RiYhI\nsvz73zB+PAFyuJ1RvPBktu5IFZFqTYlDIuzYAdddB2+95WdMGjMGzcMnIlKNbd7se5iBZ7mf7cf8\njhYt0hyTiEiSKXGoqG3b4PLL4YMPoEYNePNNuOSSdEclIiLJ1Ls3/Pgjy7KPpH/RX3nsTs1/ISLV\nnxKHivj1V78a9IwZULs2vPMOtGmT7qhERCSZ5s+HwYMBuL1oBHs1qsNdd6U5JhGRFNCiAvH65Ref\nJMyYAfXqweTJShpERKq7wkK47TYoLubDA69lCudz3XVQq1a6AxMRST71OMRj7Vr4859h4ULYZx+f\nNJx2WtnHiYhI1TZ4MCxYQGCvvbnm5+fJzYWuXdMdlIhIaihxiFGt9evJadkSliyB/feHvDz43e/S\nHZaIiCTbsmW43r0x4N7A06zhALrdBU2apDswEZHUUOIQi++/p3nPntjq1XDooTBtGhx7bLqjEhGR\nZHOOtVd3ptHWrczkbIYX3EKTJn6MtIhIptAYh/JasoSc886j7urVuCZNYNYsJQ0iIhngxx9hVJtx\nNJozgR3k0jX3Rfr0zWLuXGjYMN3RiYikjnocyqtmTQB+PfRQak2bRu7hh6c5IBERSaZAIIs77shm\n/OgNfM3dAPzr6B7841+/5aST0hyciEgaKHEoryOOoHDKFD6eO5dWBx+c7mhERCSJHn44i+HDL2D7\n9iyG04OD+JmNBxzLdYt6YLXTHZ2ISHroVqVYHH00Oxo0SHcUIiKSZKtXG9u353Be7U/oxEgAGvzf\ni1htzbsqIplLPQ4iIiIRevQo4sTfzOC+17rCEuDmm+Hcc9MdlohIWqnHQUREJMKxx0L7JX8nd8lX\nsN9+8PTT6Q5JRCTtlDiIiIhE+vZbfvPPf/rvn39e0yeJiKDEQUREZHfOkd2lC9mBAMWtWsH116c7\nIhGRSkGJg4iISDgzijt3ZvPBB1M0ZAiYpTsiEZFKQYmDiIikhJm1NLO/m9liM9tiZivN7F0zOyVK\n2WZmNtXMNpvZBjMbb2ZHpSpW174904YOhSZNUvUjRUQqPSUOIiKSKp2AI4BBwIVAN2B/4FMzaxkq\nZGbHATOAGsBVwC3AscAsM2uUsmiz9BIpIhJO07GKiEiqdHbOrQnfYGaTgG+BnsD04Ob+QAHQzjm3\nKVhuPvD/gAeAh1IWsYiI7KSPU0REJCUik4bgts3AV0BjADPLAdoBb4WShmC5ZcCHwKWpiVZERCIp\ncRARkbQxswZAM+B/wU1NgNrAoijFFwFHm5mWbxYRSYOMvlVp06ZNZRcKEwgE2Lp1K5s2bSI3NzdJ\nUUlZ1A7ppzaoHMrbDrFe61JsGFAXGBB8HlowIT9K2XzAgH2An6KdzMxqAjXDNtUDyM/PJxAIlDuo\n0O92/fr1GfE3nmn1hcyrs+pbvYXqm58f7dKZOJmaONQDaNy4cbrjEBFJpXpApckizOxR4Hqgq3Nu\nfsRuV8qhpe3rAfSJ3HjkkUfGHqCISNWVlOt9piYOq4BDgV9jPK4esCLOYyVx1A7ppzaoHGJph3r4\na1+lYGZ9gF7AI865oWG71ge/RluqeV980rChlFMPBJ6LclysH8Nl2t94ptUXMq/Oqm/1Fl5fSNL1\nPiMTB+ecA1bGepztWgTo1/BBe5Jaaof0UxtUDjG2Q6Vpp2DS0Bfo65x7PGL3UmAbcGKUQ08EvnXO\nbS/p3M65AvyMTOFirnum/Y1nWn0h8+qs+lZvqaqvBkeLiEjKmFlvfNLwmHOuX+R+51wh8B5wmZnV\nCzvuMKAFMD5FoYqISISM7HEQEZHUM7P78Ws0TAImmNkZ4fudc58Gv+0DzAXeN7MngFrB49YBz6Yu\nYhERCafEITYFQD/27AaX1FI7pJ/aoHKoau3QPvi1bfARyQCcc4vN7FzgSWAcUIhfHO4B59zaFMQJ\nVe93W1GZVl/IvDqrvtVbSupr/nZ/ERERERGRkmmMg4iIiIiIlEmJg4iIiIiIlEmJg4iIiIiIlEmJ\nQzmY2V5m9oKZrTKz7Wa20MyuSXdc1ZWZ1TOzp8xsipmtNTNnZn1LKNvMzKaa2WYz22Bm483sqBSH\nXO2YWUsz+7uZLTazLWa20szeNbNTopRVGySJmZ1kZhPMbLmZbTOzfDObbWY3RCmrdkiA6nq9N7Nz\ng9fSaI8zIsq2Cv6dbTWzdWb2ipntn67Yy5Ks1wwz6xq8BhaY2fdm1sfMcpNamXIqb52DbRetzRdH\nKZsbrOMPwTovNrOuKalQKZL1elRZ27e89U1X2ypxKJ/xQAf8aPUL8NMEvmFm16U1quqrIXA7UBN4\np6RCZnYcMAOoAVwF3AIcC8wys0bJD7Na6wQcAQwCLgS6AfsDn5pZy1AhtUHS7Q38CPTEt8NNwA/A\nWDPrFSqkdkio6n697wn8MeLx39BOM/sT8AGwGrgY/7/fCphmZjVTHm35JPw1w8wewV//xgPnA8Px\nv7thiQ8/LuWqc9A29mzzq6OUGw70wNfxfOBtYJCZ9UxQzPFK+OtRJW/fctU3KPVt65zTo5RHsNEc\ncG3E9in41aez0x1jdXvgp2QMzfi1X/D33zdKuX8Ca4H6YdsOB3YAT6a7HlX5AewfZdtewM/AVLVB\n2tvnU2C52iHhv9dqe70Hzg3W7Yoyyn0G/A/ICdt2ZvDYTumuRwkxJ/Q1A/+mfBvwYsTxPYFioGkV\nqvMrwOZynO/4YN16RGwfBWwF9k1jXRP6elTZ2zeG+qalbdXjULZLgc3AvyK2jwYOBk5PeUTVnAsq\nrYyZ5QDtgLdc2NLqzrllwIf4dpM4OefWRNm2GfgKaAxqgzRbh1/bQO2QWBl9vTezQ4DTgLHOr+AN\ngHPuP8A3VNK/pSS8ZrTFLzo4OuI0o/Fv2C9JRNwVUZ46x+gSfN2i1bk20dddSYkkvB5V6vYtT31j\nlNC2VeJQthOAr8MvokGLwvZL6jXB/8EvirJvEXC0mdVKbUjVm5k1AJrhP40EtUHKmFmWmeWYWSMz\nuwvf1fxkcLfaIXEy4Xo/zMwKzWyTmU02s+Zh+0L1K+lvqSrXP5b/k1A9vwwv5Jz7CZ+0V7XfQ20z\n+9nMisxshZkNNbN9I8qcAKx1zv0csb1S/u1X8PWoyrVvlPqGpLxttXJ02RoC30XZnh+2X1Iv9HvP\nj7IvH59d7wP8lLKIqr9hQF1gQPC52iB1hgN3BL/fAdztnHsx+FztkDjV+Xq/EX/P9AxgPXA00B2Y\nYWZ/ds5Npuy/papc/1j+TxoCBc65LSWUrUq/hy+Cj9A4lj8B9wLnmdlpwU+ywddpj9+Nc26Lme2g\n8tW5Iq9HVbF9I+sLaWpbJQ7lU1p3oJbeTi+1TQqY2aPA9UBX59z8iN1qg+R7HHgZP0CuPTDUzOo6\n554JK6N2SIxq+Xt0zi0AFoRtmmVmb+M/dX0KmBxevKTTJCm8VCpv+1aLvwPn3PMRm/LMbAEwDrgN\nCN9fJeqcoNejKlFXKLm+6Wpb3apUtvVEz8ZCXUHRsltJvvXBryW1jQM2pC6c6svM+gC9gEecc0PD\ndqkNUsQ5t9w5N885N9E51wk/qG1gcKYQtUPiZNT13jm3AXgf+J2Z1absv6WqXP9Y/k/WA7XMrE4J\nZavy7wH8jDpbgPBpeKP+7ZtZXfwsRZWizgl6Paoy7VtKfUuS9LZV4lC2L4HfBgfehDsx+PW/SDos\nxc+KcGKUfScC3zrntqc2pOoneNHqi5+t4/GI3WqD9PkM32N8FGqHRMrE670Fvzp21a+kv6WqXP9Y\n/k++DNu+k5kdiJ/BqCr/HkIMP9NOyJdAo2Adw1Wav/0Evh5VifYto76lHkoS21aJQ9nexk+DdXnE\n9g7AKmBOyiMSgoMX3wMuM7N6oe1mdhjQAj83s1SAmfXGX7Qec871i9yvNkirFvgXhu/UDgmVUdd7\nM9sHPxPNQufcdufcSnxSeoOZZYeVOwP4DVX4bynG/5NJwHagY8RpOuITrLLWTajsrgDq4Kd1DnkX\nX7cOEWU74t+QT0pJZCVI8OtRpW/fsupbiqS3rcY4lME594GZ5QEjzKw+8C1wLX76qhucc0VpDbCa\nMrML8AOBQheApmZ2RfD7ic65rUAf/OJM75vZE/jp1frjZ0V4NsUhVytmdj/+dzkJmGARK8s650IX\nJbVBEpnZKGAT/s3cavynYVfiF/h52jm3NlhU7ZAA1fl6b2avA8uBefi/i2OA+4ED2P0N1ENAHvAv\nMxuOH1fzBP5TycjpHCuNRL5mOOfyzewx4FEzy8ev43Ea/o3cy865r1JQpTKVVWegEfA68H/4v2WH\nH0B7D352npdD53LO/c/M/gb0M7Mi/O+pDX6RuV7OubTdvpPo16PK3r7lqa+ZHU662jaWRR8y9YH/\nBGoQfjR+AX4U+zXpjqs6P/Cr47oSHkeElTsFmIq/p28j/hPDJumOv6o/8DOvlPT7dxFl1QbJa4eb\ngZn4RY0CwC/BtrkhSlm1Q2J+59Xyeg88jB8cvQG/Bsga/Kewp0Up2xqYjf80cj3wD6IsSlWZHsl4\nzQDuBpYE/w6W4d9Y5qa7ruWtM34WofHA9/iFvgrw63E8CTSIcr7cYB2XBcsuwQ/ITXc9k/J6VFnb\ntzz1TWfbhlYdFBERERERKZHGOIiIiIiISJmUOIiIiIiISJmUOIiIiIiISJmUOIiIiIiISJmUOIiI\niIiISJmUOIiIiIiISJmUOIiIiIiISJmUOIiIiIiISJmUOIhUQmZ2tpkVBJeVL+8x+5jZBjO7JJmx\niYhIYumaL1WFVo4WqWTMzIB5wGznXJcYj+0D3AAc75zbkYz4REQkcXTNl6pEPQ4ilU9boBkwJI5j\nRwJHAFckMiAREUkaXfOlylDiIBnNzI42s9Fm9v/MbKuZrTSz98zsxChl65vZM2b2vZntCJZ9wczq\nRpTb28z+Zmb5ZrbZzCaY2VFm5sysbznC6gTMdc4tiThvSzObYWbrzWybmS03s7fMrE6ojHNuNZAH\n3BnXL0REpBrTNV+kYnLSHYBImh0MrAceBtYC+wIdgDlmdnLoQh68UH8EHAo8DiwCjgf6AyeaWSvn\nnDOzLOA94FSgL/A58EdgUnmCMbMaQCsiPnkysyOACcAs4BZgA3AI/pOqGsDWsOIzgIFmtrdzbkO5\nfxMiItWfrvkiFaDEQTKac24mMDP03Myy8Rfr/wF3APcFd90N/A443Tk3L7htmpmtBMbhL+YfBL82\nBzo550YGy+WZ2Q5gYDlCOgmojX/xCXcKUAvo7pz7Imz761HO8Tm+N/EMyvniJSKSCXTNF6kY3aok\nGc3Mcsysp5l9FbzQFwI7gGOA34YVbQf8F1gYPCbHzHKAyYADzg2W+1Pw6z8jftQb5Qzp4ODXNRHb\nFwbjGmVmHczsqFLOETr2kHL+TBGRjKBrvkjFKHGQTPcc8CjwDtAeOB04DfgC/ylQyAH4T58CEY9f\nAQP2C5ZrCBQ65/Ijfs7qcsYT+pnbwzc655biu7PXAMOApWa21My6RTlH6NjaUfaJiGQyXfNFKkC3\nKkmmuwEY45zrGb7RzPbD31Masg7Yhr/XNJp1wa/rgRwz2zfiheTAcsYTOs++kTucc7OAWcGu9VOB\nrsALZrbaOfd/YUVDx66LPIeISIbTNV+kAtTjIJnOAQXhG8zsz+zZ5fs+0ARY75ybF+XxQ7DcR8Gv\nV0ccf0054/k6+LVJiQE7V+ScmwN0Dm5qFlEk1KX9VTl/pohIptA1X6QC1OMgme59oKOZLcbPmnEK\n0B1YEVHuBeByYKaZPR8smwUcBrQBng1e2CcBnwDPmll9YD5+ho2bgucpLi0Y59wKM/sOP8htcGi7\nmd0JtMQP4luOHzQX+iRsasRpzsB/CvZlOeovIpJJdM0XqQAlDpLpuuHvW+0B7IWfneIy4LHwQs65\nLWZ2Nn4Kv9uBI/Hd2MvxF/EfguWKzaw98GywbA38i8oNwKfs3hVekteALmZW0zkX+mRsIf7Fqh++\nC3wzfuDeRc65KaEDgyuQXgS87rQsvIhIJF3zRSrA9Hcmknxmdh3+xeEs59x/yih7MPA9cJNz7s0Y\nf855wBTgeOfc4njjFRGR+OmaL9WVEgeRBDOza/H3y36J76Y+A98VvsA596fSjg07x5PABcBJzrlS\nu7ojjvsQ+NY5d1vMgYuISMx0zZdMoluVRBLvV/zAuF5AXeAn4JXg8/J6DL8y6CHAj+U5wMz2wQ/U\nGx7DzxERkYrRNV8yhnocRERERESkTJqOVUREREREyqTEQUREREREyqTEQUREREREyqTEQURERERE\nyqTEQUREREREyqTEQUREREREyqTEQUREREREyqTEQUREREREyvT/AThx5o/8bRIyAAAAAElFTkSu\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "figure(figsize=(9,4))\n", "subplot(121) # kaks graafikut ühes reas, tegeleme 1. graafikuga\n", "T_sirge = T0 + a * t_algus # lähendussirge, samadel aja väärtustel\n", "plot(t_algus, T_algus, '^')\n", "plot(t_algus, T_sirge, '-')\n", "xlabel('aeg (s)')\n", "ylabel('temperatuur (°C)')\n", "grid()\n", "T_sirge = T0 + a * t # lähendussirge võrdluses terve kõveraga\n", "subplot(122) # tegeleme 2. graafikuga\n", "plot(t, T)\n", "plot(t, T_sirge)\n", "ylim(20, 75)\n", "xlabel('aeg (s)')\n", "grid()\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seosest (1) saame diferentsiaalvõrrandi $\\dot T+b(T-T_0)-a=0$, kus $b=k/(mc)$. Võrrandi lahend on $$T(t)=T_0+\\frac{a}{b}\\left(1-e^{-bt}\\right).$$ Katsetame erinevate $b$ väärtustega, kas tulemus sarnaneb eksperimentaalse kõveraga:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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80HV2pDrnHJgwAa6+bD/FX3seWk6F3bvdyZgYt8Hd3Xdr2a7keVlKSIwxDYHJ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\nbvhL4pG/bevY5vnAO8m+Pof4pd487c9aivklXuUxHviAOEH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = 0.005\n", "T_mudel = T0 + (a/b)*(1-exp(-b*t))\n", "\n", "plot(t, T, label='katse')\n", "plot(t, T_mudel, label='mudel')\n", "xlabel('aeg (s)')\n", "ylabel('temperatuur (°C)')\n", "legend()\n", "grid()\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Optimeerime kõiki parameetreid:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "T0 = 22.45 °C\n", "a = 0.2944 °C/s\n", "b = 0.002888 1/s\n" ] } ], "source": [ "mudel = lambda t, T0, a, b: T0 + (a/b)*(1-exp(-b*t))\n", "(T0, a, b), _ = curve_fit(mudel, t, T, (21, 0.35, 0.005))\n", "print('T0 = %.4g °C' % T0)\n", "print('a = %.4g °C/s' % a)\n", "print('b = %.4g 1/s' % b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Võrdleme eksperimendiga:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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frTURERGEhYVRrFgxu+zLI+wn8vQV/h0wnXJbPqISxl5HZyo0p8Rnb+PZ9Akn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\n3Xdhl12iDlFEROqwyAsSYGvgO2AA0A04C5gLPGl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+G5J6Bes6yd1/TLGtiPC/+V+Dzt3q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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_mudel = mudel(t, T0, a, b)\n", "\n", "plot(t, T, label='katse')\n", "plot(t, T_mudel, label='mudel (optimeeritud)')\n", "xlabel('aeg (s)')\n", "ylabel('temperatuur (°C)')\n", "legend()\n", "grid()\n", "show()" ] } ], "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": "3.6.3" }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": false, "skip_h1_title": true, "toc_cell": false, "toc_position": {}, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }