lightning-talk-slides.ipynb

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   "source": [
    "%matplotlib inline"
   ]
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    "<style type=\"text/css\">\n",
    ".input_prompt, .input_area, .output_prompt {\n",
    "display:none !important;\n",
    "}\n",
    ".reveal h1, .reveal h2 {\n",
    "    font-family:\"League Gothic\"\n",
    "}\n",
    "</style>"
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   "source": [
    "# <center> Doing Math with Python </center>\n",
    "\n",
    "\n",
    "<center>\n",
    "\n",
    "\n",
    "<p> <b>Amit Saha</b>\n",
    "\n",
    "<p>May 30, PyCon US 2016\n",
    "\n",
    "<p>Portland, Oregon\n",
    "</center>"
   ]
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   "source": [
    "## About me\n",
    "\n",
    "- Software Engineer at [Freelancer.com](https://www.freelancer.com) HQ in Sydney, Australia\n",
    "\n",
    "- Author of \"Doing Math with Python\" (No Starch Press, 2015)\n",
    "\n",
    "- Writes for Linux Voice, Linux Journal, and others.\n",
    "\n",
    "- [Blog](http://echorand.me), [GitHub](http://github.com/amitsaha)\n",
    "\n",
    "\n",
    "#### Contact\n",
    "\n",
    "- [@echorand](http://twitter.com/echorand)\n",
    "\n",
    "- [Email](mailto:amitsaha.in@gmail.com)\n"
   ]
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   "source": [
    "### Book: Doing Math with Python\n",
    "\n",
    "*Use PYCONMATH code to get 30% off \"Doing Math with Python\" from [No Starch Press](https://www.nostarch.com/doingmathwithpython)*\n",
    "\n",
    "\n",
    "<img align=\"center\" src=\"images/dmwp-cover.png\" href=\"https://doingmathwithpython.github.io\"></img>\n",
    "\n",
    "\n",
    "(Valid from  May 26th - June 8th) \n",
    "\n",
    "Book Signing - May 31st - 2.00 PM - No Starch Press booth"
   ]
  },
  {
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   "source": [
    "### What?\n",
    "\n",
    "*Python can lead to a more enriching learning and teaching experience in the classroom* \n",
    "\n",
    "\n",
    "How? *Next slides*"
   ]
  },
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   "source": [
    "###  Tools (or, Giant shoulders we will stand on)\n",
    "\n",
    "<img align=\"center\" src=\"images/giant_shoulders_collage.jpg\"></img>\n",
    "\n",
    "\n",
    "*Python 3*, *SymPy*, *matplotlib*\n",
    "\n",
    "\n",
    "*Individual logos are copyright of the respective projects. [Source](http://www.orphancaremovement.org/standing-on-the-shoulder-of-giants/) of the \"giant shoulders\" image.\n"
   ]
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   "source": [
    "### Python - a scientific calculator\n",
    "\n",
    "\n",
    "\n",
    "Whose calculator looks like this?\n",
    "\n",
    "```python\n",
    ">>> (131 + 21.5 + 100.2 + 88.7 + 99.5 + 100.5 + 200.5)/4\n",
    "185.475\n",
    "```\n",
    "\n",
    "\n",
    "*Python 3 is my favorite calculator (not Python 2 because 1/2 = 0)*\n",
    "\n",
    "Beyond basic operations:\n"
   ]
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   "source": [
    "\n",
    "- `fabs()`, `abs()`, `sin()`, `cos()`, `gcd()`, `log()` and more (See [math](https://docs.python.org/3/library/math.html))\n",
    "\n",
    "- Descriptive statistics (See [statistics](https://docs.python.org/3/library/statistics.html#module-statistics))\n"
   ]
  },
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   "source": [
    "### Python - a scientific calculator\n",
    "\n",
    "- Develop your own functions: unit conversion, finding correlation, .., anything really\n",
    "\n",
    "- Use PYTHONSTARTUP to extend the battery of readily available mathematical functions\n",
    "\n",
    "```python\n",
    "$ PYTHONSTARTUP=~/work/dmwp/pycon-us-2016/startup_math.py idle3 -s\n",
    "```\n",
    "\n"
   ]
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   "source": [
    "\n",
    "### Unit conversion functions\n",
    "\n",
    "```python\n",
    "\n",
    ">>> unit_conversion()\n",
    "1. Kilometers to Miles\n",
    "2. Miles to Kilometers\n",
    "3. Kilograms to Pounds\n",
    "4. Pounds to Kilograms\n",
    "5. Celsius to Fahrenheit\n",
    "6. Fahrenheit to Celsius\n",
    "Which conversion would you like to do? 6\n",
    "Enter temperature in fahrenheit: 98\n",
    "Temperature in celsius: 36.66666666666667\n",
    ">>> \n",
    "\n",
    "```"
   ]
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   "source": [
    "### Finding linear correlation\n",
    "\n",
    "```python\n",
    ">>> \n",
    ">>> x = [1, 2, 3, 4]\n",
    ">>> y = [2, 4, 6.1, 7.9]\n",
    ">>> find_corr_x_y(x, y)\n",
    "0.9995411791453812\n",
    "\n",
    "```"
   ]
  },
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   "source": [
    "### Python - a really fancy calculator\n",
    "\n",
    "SymPy - a pure Python symbolic math library\n",
    "\n",
    "*from sympy import awesomeness*  - don't try that :)\n",
    "\n",
    "\n"
   ]
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fFUlF0qySEHrjDbc0PjtbOwtGItlnlWza5FojVau69sghjt2UYNOsklTQvr2b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\nCLwYM8wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1113f94a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create graphs from algebraic expressions\n",
    "\n",
    "from sympy import Symbol, plot\n",
    "x = Symbol('x')\n",
    "p = plot(2*x**2 + 2*x + 2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-1/2]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Solve equations\n",
    "\n",
    "from sympy import solve, Symbol\n",
    "x = Symbol('x')\n",
    "solve(2*x + 1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Limits\n",
    "\n",
    "from sympy import Symbol, Limit, sin\n",
    "x = Symbol('x')\n",
    "Limit(sin(x)/x, x, 0).doit()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAASUAAAAhCAYAAACfgb3VAAAABHNCSVQICAgIfAhkiAAAC7RJREFU\neJztnXuYF1UZxz9cVi6LLCQKi7DphhQXUbkmoJgKIQZiPvhA4iVA1x6eVMJLheFWhJahgpXxIAVd\nqdRKxIe0DBDNa6VgBKJugQohginELbY/vmeaM7Pzu8zvvrvn8zzz/GbOnJk5Z86cc973Pe85P8iM\nthle53A4HElpmUac04EzreMxwIlmfxgwC6gFHgfOzmXiUnAs8ABQZYX1AD5VwDQ4mgd9CdYBRxE5\nDfgR0MocnwBcbfY7ALdbcS8F9uM3WJkyKY04M1BDWA+cFDp3GXBylmlwOMIsBM4qdiKaO52BdUCF\nFXYr0NHsDwCOAh8xxx1RI3Fpls+tjRE3qlFqA3w1yzQ4HGGOAf4AdC9yOoqpnUC0hpJTWic5txC4\nE3jPCqsE/m32NyCR9nVz3NP8vmp+RwCnIGnrRaAc+CRwo3VNPjgIHBcKOxP4DPAy8GHgSeB3qEDP\nBV4DqoG1wBqgK5K4tiEpcSxwFdAb2GLumSx/FcAm4EDOc+coFoeALwH3A+OKlIYOwESTDpAAsBp9\nh29mcd9JwK/SiDcDmUguQd95QRkKPB0RviTJNT8GFpj9jsB0s38R8KzZXw50S/Hs2vSSCERLSgD3\n4KuclcDb+D3czcBXUEE+Y13TAvgL0Au98OnWuWuAMuB8c5wqfy1RQ+ZoevyG4jVKpaCdQOJ6lxMS\nSUq3AItixJ+GKv4t5vgQaqRAUsqvzf6Voeu6AjegBsFjJMHRvfeBbyR4biI+QPavt1Gr/k/gLXPu\nW+b3a8DfrGvqgc3A5cAKJBrXAOuBu5DY/IqJm07+OsVMc7YMBb4ItEO92XPAXPwedCJwE5Iil+B3\nIPmkDNkY69KIew7wEDAPve9iUIne031J4ixE5oFHY977HLLPX6lqJ3mnG7AHfdxh7o8IG4caJVBj\nclLo/IvAELNfQWpq04jjkUxS6mD2rwOej4hzN/DzUNiDyHjfC1WoUcA3ga2owWlFQxLl74qUqY+m\nLINrBgKP4TeEHZA98F8E389JwD7i94yZ0AqYA7RPM/4UVJ6L85ai9LiA5JJHC6TW941533zkrxja\nCeRZUoriGuCRBOfC0tPZ6EV0M9tE1JKPB76AEn4Yv6Jdl8bza2OkNdHLudfa7wnsIjgiNxlV5A34\nbhEtkb2oP3Ab6m08HkQF7TU66eRvcox82Cwh/gjmKtSQ2pyB3s+KUHgdhWmUZiJ1Iw69SG7nLBQP\nkNwXbylqcOOSy/xNQ1K/p2W0RcZ4gDuQ1BxFV9Tx3mFt60PHqfJWcPVtDDIER7EVNT47kGH4EWSN\nt6lAKlM1qrxzUGXdD/wi+yQDMkKPNPveS/2OOW6JVD6PbaixrEV2snpkzN4CzEYjijuQyvM5YCOS\n/iYCpyKJ8VHgKdRQrQO6pMjfsfjqYlzKiC8tjQKeAAYj6QhkH9uLbwcrJO1Qh/XdmNdtzUNaMuFJ\nYALwyyTnryK+WSFX+fNsWjejxqgbQRV5NHCt2a8gOFi1E99Q7lFLYTqqjKkDLkxwrhz4fJ6fPyXL\n6y8C+uUiIRGk66fy0SyesYz4vdAGNOoY9s/agdQ1mzry/wFOIN7oTBv0zkYiZ91iMxD4QZLzg1HH\nl47zMeQ2f8XWTqDAklI7NGT+RoL4+9CIVX8kUeSDsJ0nDp1Rz/FKqogZkkiCDLM5T89PxMeRdLbD\nCuuORPU1ad5jGOpwdqLvohMwn4Z5mYZGFrch6fJx4GOooq4Avg+ch4y6NhejyrMHVdIuSPWYiYyz\nC5CUvhxJIRejwYhKZFx+BvgE6hiHICn3T9b9WyEJYbUVNgiYil+JZqDBi05IRb7N5PUIcgvx2E7y\njq0O2e16oEGUVHm8LyJ/Xvw4eSymdgLJNRRoWAbpvP/XUIMdLoP/08vcoNgOYpkSZZxvbCwjN73Q\nfOC/wPBQeB0Ne8bxqPE53grrY+KeYYXVoJFNz7Z2innGYNRQTTDhDxKs1H2QemkzGeXV5oVQ2HFI\nIllF0EVjEQ1H9KbgD254absX3+ayDKnsw9Eo1VFU6QE+G7pXGb4/WhStUT0ZYYWlk8dw/iBeHvNF\nttqJfR+vDOK8f7DKICx+dja/e3OUyELzn2InoESoRlLP7UT7m9l0AH6IevNdVvgm4LfmnMdMJIV6\nNopXgXeA61Hv+LB1z4PWdQOQi4bdw68EdofS8kHoeLfZqgmqUxuRRG83opWh62chY2+9OS5HEszT\nSLq5C7+B2Eqw8W2P7yQcxRGkNXS2wtLJYzh/EC+P+SIb7cTGLoM47x+sMgirb21Rz7c/R4l0JGY5\nwRE+jyrkc3Qo4tx05IKQjDbAz9Ao3q1ppONC1Fv/PeLcZqQGDDLPfQf4UMTzwt/RLoIV9klUYbej\nhus5pOrNJj3+iv9xg/9uys2zykPnQa4ctj1tOH4l2EbQ5rUR+DQaHACpXdtTpGkvQck833ksdcJl\nEOf9g1UGYUnpCNILS2FYtqlzJTJ6hreH0ehK1LlUDRLIl+wxZPRMh2rzeyTi3GHz67kbzEP+OZ5q\nNhYNQ4cdMTcje4vHW8hmtQI5ES5CH2a6asPBFOc7ERxxBfiHtd8HmST+mOD691GD4jE4SVyPtvjv\nB/Kfx1InXAZx3j9YZRBulDzRK8rJsd5tGW+Fohbp7XOtsFROnG+b3xMiznlzCHea3wPm3lejeZEX\noJGqF0LXrSY4UjkAVboa5DdWhQywi5GklS17CNqTwpyHJA9bla229isIqlnnoukkyaggKAnkO4+l\nTrIySPX+wSqDcKP0lhUhTAu3ZbwVgqmoPL8eCh8ZEddmJVLXo9wYBiF1ZL05Ho58tm5AU1auJ1rt\nex5JSt6w9ECCzqTb0CjeUXIzHWc/wW+5HXIsPNUcj0aTsT2zREuC6sNp+PMgu6PO2e7pw5QjbcL2\nRct3Hksduwzivn+wyiDcKO2moSjrKH3ORtNmqoGfWNsKGg4ftyaonu9GXvzTkaHS42Q0PH0Fvmr3\nJnIYPA85bA5EvjJRDe89BOcC3kjQaNsDSXU7rbAyGpoOEoXZvyCnUc8Le5x5Xj/krlBNUD2agz93\nEZTXl1F9uJbUS98cjyTgcMOVKo9ReUkUHpXHUscrg7jvH/wyiGQtDYdIi8mf8f06mgPLiO8SsJvE\nqqMnOV2EbFL1SO1YS3AqxVnIQP49NJS7FL+n8+iS4FnbkQ9LmAnow5yKPsQFqFGbh/xbvAmlo5B0\nVY/E/CdC6T2EpLVK5GX9rgl/A19VPQZ/ZYYuaCTrTrOVo4GFxSZvo6009safdd+VoIE+EeNo6L+V\nLI9R+SvPII+ljlcGcd4/BMsgknnowywVxpP9apaNiWUUeLJjmlQhVW0M/sTktqgXnI16wt7FSVrB\nmYsabUeBGEq0naCxkE7FOIPS/fODgZSmyD4L+S0l4iXkVdwcWIumdzgKRAvkOBd3hne2dEXD2JPw\nPWHPR/4e3jpN45E/Qy1S6a5EaxmVm/P2QmwjTJy7kWhdg6Y+VOMWYcuE/sh4G/YQB0lPr6MybOqc\niKbzlGqn1uiJMrrVo3k4V5P/ybc2l6NhRW9Zzo7A75E+7jmprUS+IEPwp0pcghayegh/IbaOyMC2\nFOntXzbnhqMRgOYyIpJLNqKymIUM496E1PZoFGoocq5s6kxD35Vb6jhPJHKSXIoMc95SsoVgFQ1X\newR5mNscQcZvj3fx/8ygCk1gLCP1ypDH4IjL6xS2oyo1OiKpe1ixE9KUSbT0wmHki/LtAqblMBoW\nvMnsryGx01m4ofJ4DzlwHcB30x+N/oUCgv5XUdM4HI5kzEez+hvr3NBGQbL1YNYgv4HLC5MULkNT\nGNYiG9JLxPeEfRY5YdlrywxA84rAl5SyWYTN0TwZi+ytPy12Qpo6UWtO2zyFKng9wXVj8sEw5BfT\n0+xvQZM/a9Dcq03I2FqDRti2IzvGFWg29VbkO1KFnNb6oWkS60y809Eyp/uQRGargA5HMvqiv+i6\njsJOG3I4HA6Hw+FwOBwOh8PhcDgcDofD0dj4H+fyCaMNGMQpAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left(\\frac{\\left(2 x + 1\\right) \\cos{\\left (x \\right )}}{\\sin{\\left (x \\right )}} + 2 \\log{\\left (\\sin{\\left (x \\right )} \\right )}\\right) \\sin^{2 x + 1}{\\left (x \\right )}$$"
      ],
      "text/plain": [
       "⎛(2⋅x + 1)⋅cos(x)                ⎞    2⋅x + 1   \n",
       "⎜──────────────── + 2⋅log(sin(x))⎟⋅sin       (x)\n",
       "⎝     sin(x)                     ⎠              "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Derivative\n",
    "\n",
    "from sympy import Symbol, Derivative, sin, init_printing\n",
    "x = Symbol('x')\n",
    "init_printing()\n",
    "Derivative(sin(x)**(2*x+1), x).doit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAADQAAAAgCAYAAABdP1tmAAAABHNCSVQICAgIfAhkiAAAAzBJREFU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\nO/lIQVIcZphhhrkgzgGpUJkbjjeg3QAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\frac{2 x^{\\frac{3}{2}}}{3}$$"
      ],
      "text/plain": [
       "   3/2\n",
       "2⋅x   \n",
       "──────\n",
       "  3   "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Indefinite integral\n",
    "\n",
    "from sympy import Symbol, Integral, sqrt, sin, init_printing\n",
    "x = Symbol('x')\n",
    "init_printing()\n",
    "Integral(sqrt(x)).doit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAD8AAAAgCAYAAACl36CRAAAABHNCSVQICAgIfAhkiAAAAz1JREFU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\n",
      "text/latex": [
       "$$\\frac{4 \\sqrt{2}}{3}$$"
      ],
      "text/plain": [
       "4⋅√2\n",
       "────\n",
       " 3  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Definite integral\n",
    "\n",
    "from sympy import Symbol, Integral, sqrt\n",
    "x = Symbol('x')\n",
    "Integral(sqrt(x), (x, 0, 2)).doit()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<center><h1>Can we do more than write smart calculators?</h1></center>\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "\n",
    "### Python - Making other subjects more lively\n",
    "\n",
    "<img align=\"center\" src=\"images/collage1.png\"></img>\n",
    "\n",
    "\n",
    "- matplotlib\n",
    "\n",
    "- basemap\n",
    "\n",
    "- Interactive Jupyter Notebooks\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "\n",
    "#### Bringing Science to life\n",
    "\n",
    "*Animation of a Projectile motion* [(Python Source)](https://github.com/doingmathwithpython/pycon-us-2016/blob/master/py-files/projectile_animation.py)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": 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      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"400\"\n",
       "            height=\"300\"\n",
       "            src=\"https://www.youtube.com/embed/8uWRVh58KdQ\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x10450c9e8>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo(\"8uWRVh58KdQ\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "#### Exploring Fractals in Nature\n",
    "\n",
    "*Interactively drawing a Barnsley Fern* [(Notebook)](https://github.com/doingmathwithpython/pycon-us-2016/blob/master/notebooks/Interactive%20Barnsley%20Fern.ipynb)\n",
    "\n",
    "\n",
    "\n",
    "<img align=\"center\" src=\"images/fern.jpg\" width=\"400\" ></img>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "\n",
    "#### The world is your graph paper\n",
    "\n",
    "*Showing places on a digital map* [(Notebook)](https://github.com/doingmathwithpython/pycon-us-2016/blob/master/notebooks/Maps%20using%20Basemap%20-%20demo.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Great base for the future\n",
    "\n",
    "*Statistics and Graphing data* -> *Data Science*\n",
    "\n",
    "*Differential Calculus* -> *Machine learning*\n"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.1"
  },
  "widgets": {
   "state": {},
   "version": "1.0.0"
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 },
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}