MathWithSumpy_LOGARITHM_082918.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Just about any math equation !!!\n",
    "\n",
    "### For BASIC MATH: sympy library in Jupyter Notebook allows you to:\n",
    " \n",
    " - Solve\n",
    " - Simplify\n",
    " - Expand-Log\n",
    " - Factor\n",
    " - Collect\n",
    " - Evaluate\n",
    " - Create LaTeX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sympy import *\n",
    "init_printing()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x, y, z = symbols(\"x, y, z\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a, b,c,d = symbols ('a b c d')\n",
    "n = symbols('n', Integer=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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      "text/latex": [
       "$$\\log{\\left (x \\right )} - \\log{\\left (y \\right )}$$"
      ],
      "text/plain": [
       "log(x) - log(y)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "leeLogExpand1 = expand(log(x/y), force = True)\n",
    "leeLogExpand1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEUAAAAUBAMAAAApce1IAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
      "text/latex": [
       "$$2 \\log{\\left (x \\right )}$$"
      ],
      "text/plain": [
       "2⋅log(x)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "leeLogExpand2 = expand_log(log(x**2), force=True)\n",
    "leeLogExpand2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEcAAAAUBAMAAAAthD11AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nXrGFH6viaLFknA/hLJ2k25VuybO+3wSrVslY/6WfAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$n \\log{\\left (z \\right )}$$"
      ],
      "text/plain": [
       "n⋅log(z)"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "leeLogCombine = logcombine(n*log(z))\n",
    "leeLogCombine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEIAAAAVBAMAAAAA8SWUAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nrJ1nBVB/oUwsB3/4o1Hzjp+frAAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\log{\\left (z^{n} \\right )}$$"
      ],
      "text/plain": [
       "   ⎛ n⎞\n",
       "log⎝z ⎠"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "leeLogCombine = logcombine(n*log(z), force=True)\n",
    "leeLogCombine"
   ]
  }
 ],
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  "kernelspec": {
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