Math sucessions

generadorSucesiones-v1.ipynb

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": {
      "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": []
  }
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