{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "%display latex" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "reset('all')" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "(A, C1, C2, T, AT, a, b, c)" ] }, "execution_count": 69, "metadata": { }, "output_type": "execute_result" } ], "source": [ "var(\"A, C1, C2, T, AT, a, b, c\")" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 132, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "dados = pd.read_csv('tabela-1.csv')" ] }, { "cell_type": "code", "execution_count": 133, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "pontos = zip(dados.x,dados.y)\n" ] }, { "cell_type": "code", "execution_count": 134, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 134, "metadata": { }, "output_type": "execute_result" } ], "source": [ "point(pontos,color = \"red\", size=10,legend_label=\"pontos coletados\", gridlines=\"minor\", figsize=(6, 5))" ] }, { "cell_type": "code", "execution_count": 135, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "(3.12076695684937e-11)/A^5" ] }, "execution_count": 135, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/html": [ "" ], "text/plain": [ "117552.384000000/A^4" ] }, "execution_count": 135, "metadata": { }, "output_type": "execute_result" } ], "source": [ "C1 = 3.74177e-16\n", "C2 = 1.43878e-2\n", "AT = 1.200e3\n", "T = AT/A\n", "\n", "En = 5.669e-8*T^4\n", "E = C1/(A^5*(exp(C2/AT)-1))\n", "display(E, En)" ] }, { "cell_type": "code", "execution_count": 136, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-6.636970792632691e-17" ] }, "execution_count": 136, "metadata": { }, "output_type": "execute_result" } ], "source": [ "F = integrate(E, A)/En\n", "F" ] }, { "cell_type": "code", "execution_count": 137, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x |--> a*e^(-b*e^(-c*x))" ] }, "execution_count": 137, "metadata": { }, "output_type": "execute_result" } ], "source": [ "modelo_Gompertz(x) = a*exp(-b*exp(-c*x))\n", "modelo_Gompertz" ] }, { "cell_type": "code", "execution_count": 138, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "{c: 0.5405029914116612, b: 6.576375491807861, a: 0.9643475394289801}" ] }, "execution_count": 138, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# A opção solution_dict=True,utilizada para criar o dicionários das constantes, é opcional, mas caso não ocorra erro, coloque-a como true\n", "\n", "ajuste = find_fit(pontos, modelo_Gompertz,[0.7,0.5,0.5],solution_dict=true); \n", "\n", "ajuste" ] }, { "cell_type": "code", "execution_count": 139, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "0.9643475394289801*e^(-6.576375491807861*e^(-0.5405029914116612*x))" ] }, "execution_count": 139, "metadata": { }, "output_type": "execute_result" } ], "source": [ "modelo_Gompertz_ajustado(x) = modelo_Gompertz.subs(ajuste);\n", "\n", "modelo_Gompertz_ajustado(x)" ] }, { "cell_type": "code", "execution_count": 140, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", 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