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renexdev/generadorSucesiones-v1.ipynb

Created March 29, 2018 12:38
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generadorSucesiones-v1.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dr. René Cejas Bolecek, 2018\n",
"Matemática 1 del Profesorado y Licenciatura en Cs. Biológicas de la Universidad de Comahue Regional Bariloche, Argentina"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sucesiones teórico"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Suceción: i\n",
"valores de n: [2, 4, 6, 8, 10, 1, 3, 5, 7, 9]\n",
"valores de i (n): [20, 20, 20, 20, 20, 1, 9, 25, 49, 81]\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f6ada6f8748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from math import *\n",
"%matplotlib inline\n",
"\n",
"#Nmax de la sucesion\n",
"NMax = 10\n",
"#Change the label of the serie: a, b, etc\n",
"label = 'i'\n",
"\n",
"#Sucesiones\n",
"x = list(range(1,NMax+1))\n",
"y = np.zeros(NMax)\n",
"\n",
"if(label == 'a'):\n",
" y = list(x[i]**2 for i in range(len(x))) \n",
"if(label == 'b'):\n",
" y = list((-1)**i*x[i]**2 for i in range(len(x)))\n",
"if(label == 'c'):\n",
" y = list((2*x[i]-2)/(x[i]+1) for i in range(len(x)))\n",
"if(label == 'd'):\n",
" y = list(-2*x[i]+6 for i in range(len(x)))\n",
"if(label == 'e'):\n",
" y = list((-1)**x[i] for i in range(1,len(x)))\n",
"if(label == 'f'):\n",
" y = list((-0.5)**x[i] for i in range(len(x)))\n",
"if(label == 'g'):\n",
" y = list(sin(x[i]*pi/4.) for i in range(len(x)))\n",
"if(label == 'h'):\n",
" y = list(4+1/x[i] for i in range(len(x)))\n",
"if(label == 'i'):\n",
" xa = list( x[i] for i in range(len(x)) if(i%2==1))\n",
" xb = list( x[i] for i in range(len(x)) if(i%2==0))\n",
" yi_a = list( 20 for i in range(len(x)) if(i%2==1))\n",
" yi_b = list( x[i]**2 for i in range(len(x)) if(i%2==0))\n",
" x = xa+xb\n",
" y = yi_a+yi_b\n",
"\n",
"tags=['$n^2$','$(-1)^n\\,n^2$','$(2n-2)/(n+1)$','$-2n+6$','$(-1)^n$','$(-0.5)^n$','$\\sin(n*\\pi/4)$','$4+1/n$','20 si n par y $n^2 si n impar$']\n",
"print('Suceción:',label)\n",
"print('valores de n:',x)\n",
"print('valores de ',label,'(n): ',y)\n",
"\n",
"labelDic = {'a':0,'b':1,'c':2,'d':3,'e':4,'f':5,'g':6,'h':7,'i':8}\n",
"labelId = labelDic[label]\n",
"\n",
"plt.ylabel(tags[labelId])\n",
"plt.plot(x, y, 'o', markersize = 10)\n",
"plt.plot([0,NMax], [0,0], '-',color='k', lw =0.5)\n",
"\n",
"plt.ylim([0, max(y)+0.1*max(y)])\n",
"\n",
"plt.xlim(0, NMax)\n",
"\n",
"plt.xlabel('n')\n",
"plt.savefig(label+'_n.jpg')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Raw Cell Format",
"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": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Raw
gistfile1.txt
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dr. René Cejas Bolecek, 2018\n",
"Matemática 1 del Profesorado y Licenciatura en Cs. Biológicas de la Universidad de Comahue Regional Bariloche, Argentina"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sucesiones teórico"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Suceción: i\n",
"valores de n: [2, 4, 6, 8, 10, 1, 3, 5, 7, 9]\n",
"valores de i (n): [20, 20, 20, 20, 20, 1, 9, 25, 49, 81]\n"
]
},
{
"data": {
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H+Fvgt8oZlJmZVZesyeKKiLh8wP4OSc+XMyAzM6s+w5lI8JqTO5KuBtrKG5KZmVWbrDWL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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f6ada6f8748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from math import *\n",
"%matplotlib inline\n",
"\n",
"#Nmax de la sucesion\n",
"NMax = 10\n",
"#Change the label of the serie: a, b, etc\n",
"label = 'i'\n",
"\n",
"#Sucesiones\n",
"x = list(range(1,NMax+1))\n",
"y = np.zeros(NMax)\n",
"\n",
"if(label == 'a'):\n",
" y = list(x[i]**2 for i in range(len(x))) \n",
"if(label == 'b'):\n",
" y = list((-1)**i*x[i]**2 for i in range(len(x)))\n",
"if(label == 'c'):\n",
" y = list((2*x[i]-2)/(x[i]+1) for i in range(len(x)))\n",
"if(label == 'd'):\n",
" y = list(-2*x[i]+6 for i in range(len(x)))\n",
"if(label == 'e'):\n",
" y = list((-1)**x[i] for i in range(1,len(x)))\n",
"if(label == 'f'):\n",
" y = list((-0.5)**x[i] for i in range(len(x)))\n",
"if(label == 'g'):\n",
" y = list(sin(x[i]*pi/4.) for i in range(len(x)))\n",
"if(label == 'h'):\n",
" y = list(4+1/x[i] for i in range(len(x)))\n",
"if(label == 'i'):\n",
" xa = list( x[i] for i in range(len(x)) if(i%2==1))\n",
" xb = list( x[i] for i in range(len(x)) if(i%2==0))\n",
" yi_a = list( 20 for i in range(len(x)) if(i%2==1))\n",
" yi_b = list( x[i]**2 for i in range(len(x)) if(i%2==0))\n",
" x = xa+xb\n",
" y = yi_a+yi_b\n",
"\n",
"tags=['$n^2$','$(-1)^n\\,n^2$','$(2n-2)/(n+1)$','$-2n+6$','$(-1)^n$','$(-0.5)^n$','$\\sin(n*\\pi/4)$','$4+1/n$','20 si n par y $n^2 si n impar$']\n",
"print('Suceción:',label)\n",
"print('valores de n:',x)\n",
"print('valores de ',label,'(n): ',y)\n",
"\n",
"labelDic = {'a':0,'b':1,'c':2,'d':3,'e':4,'f':5,'g':6,'h':7,'i':8}\n",
"labelId = labelDic[label]\n",
"\n",
"plt.ylabel(tags[labelId])\n",
"plt.plot(x, y, 'o', markersize = 10)\n",
"plt.plot([0,NMax], [0,0], '-',color='k', lw =0.5)\n",
"\n",
"plt.ylim([0, max(y)+0.1*max(y)])\n",
"\n",
"plt.xlim(0, NMax)\n",
"\n",
"plt.xlabel('n')\n",
"plt.savefig(label+'_n.jpg')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Raw Cell Format",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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