index.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# pdpatch\n",
    "\n",
    "> New methods for pandas DataFrame and Series."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`pdpatch` adds methods to [pandas](https://pandas.pydata.org/)' `DataFrame` and `Series` for a faster data science pipeline. It also defines drop-in replacements for `seaborn` and `plotly.express` that automatically label axes with nicer titles. We use [nbdev](https://nbdev.fast.ai/) to build this project."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Install"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`pip install pdpatch`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How to use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pdpatch.all import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interactive Method `.less()`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Alt Text](less15_360.gif)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Automatically Rename snake_case columns in `plotly.express` and `seaborn`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from pdpatch.express import *\n",
    "df = pd.DataFrame({'time__s__': range(10), 'position__m__': [i**1.3 for i in range(10)], 'speed__m/s__': 10*[1]})\n",
    "#df = pd.DataFrame({'time__s__': range(10), 'position__m__': range(10)})\n",
    "px.scatter(df, x='time__s__', y='position__m__').show('png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IkiZOnKicnJyreTsAAIA2wioqtbW1uv/++/X+++8rOTlZknTx4kV997vf1bZt2zR8+PBIZgQAAFEqrLN+Fi1apLq6Ov35z3/WhQsXdOHCBR07dkw+n09FRUWRzggAAKJUWGtUXC6X3n33Xd10001txisqKjRr1ixdvHgxUvk6xRoVAAD6n578foe1R6W1tbXdKcmSFBsb2+6+PwAAAOEKq6jceuutWrx4sWpqakJjn3/+uZYuXaoZM2ZELBwAAIhuYRWVDRs2yOfzacyYMRo7dqzGjh2rzMxM+Xw+rV+/PtIZAQBAlArrrJ+MjAxVVlbq3Xff1aeffipJmjBhgmbOnBnRcAAAILpxwTcAANCneuWCb+vWrdMPfvADORwOrVu3rtNtOUUZAABEQrf3qGRmZurQoUNKSUlRZmbmld/QZtPJkycjFrAz7FEBAKD/6ZU9KqdOnerw3wAAAL0lrLN+Hn/8cdXX17cbb2ho0OOPP37VoQAAAKQwF9PGxMTob3/7m1JTU9uMf/nll0pNTVVLS0vEAnaGQz8AAPQ/vX5l2mAwKJvN1m786NGjGjZsWDhvCQAA0E6PrqMydOhQ2Ww22Ww2XXvttW3KSktLi/x+vx555JGIhwQAANGpR0Vl7dq1CgaDevDBB/Xzn/9cLpcrNGe32zVmzBhNmzYt4iEBAEB06lFRmT9/vqSvT1WePn16hzcmDFdpaamWL1+uxYsXa+3atRF7XwCR5a0PyOMPyNfYrCRnrNxD7HLF262OBWCA6nZR8fl8oQUvOTk5amhoUENDQ4fb9nRh68GDB/XrX/9a2dnZPXodgL5Vc7FBy8qqtLfaExrLz3KrtCBb6clOC5MBGKi6vZh26NChqq2tlSQlJydr6NCh7R6Xx3vC7/dr7ty5evbZZ3v8WgB9x1sfaFdSJKm82qOSsip56wMWJQMwkHV7j8p7770XOqNn9+7dEQtQWFioO++8UzNnztQTTzzR6bZNTU1qamoKPff5fBHLAaBzHn+gXUm5rLzaI48/wCEgABHX7aLyne98p8N/X41t27apsrJSBw8e7Nb2q1ev1s9//vOIfDaAnvE1Nnc6X9fFPACEI6zrqOzcuVP79u0LPX/mmWc0ZcoUff/739dXX33Vrfc4e/asFi9erK1bt8rhcHTrNcuXL5fX6w09zp49G058AGFIcnS+eD6xi3kACEdYReXHP/5x6LDLRx99pOLiYt1xxx06deqUiouLu/Uehw8fVm1traZOnarBgwdr8ODB2rNnj9atW6fBgwd3eHXbuLg4JSUltXkA6BvuBLvys9wdzuVnueVO4LAPgMjr0enJl506dUrXX3+9JKmsrEyzZ8/WqlWrVFlZqTvuuKNb7zFjxgx99NFHbcYWLlyo8ePHa9myZYqJiQknGoBe4oq3q7QgWyVlVSr/h7N+1hRksz4FQK8Iq6jY7fbQTQnfffdd/ed//qckadiwYd1e4JqYmKhJkya1GRsyZIhSUlLajQMwQ3qyU+vn5MjjD6iusVmJjli5E7iOCoDeE1ZR+ad/+icVFxcrLy9PFRUV2r59uyTp+PHjGjlyZEQDAjCLK55iAqDvhFVUNmzYoB/96Ef6/e9/r02bNulb3/qWJGnHjh3613/917DDvP/++2G/FgAADDy2YDAYtDpEuHpym2gAAGCGnvx+h7VHRfr6bsmvvfaaPvnkE0nSxIkTdffdd7MIFgAARExYReUvf/mL7rjjDn3++ee67rrrJH19MbaMjAy99dZbGjt2bERDAgCA6BTWdVSKioo0duxYnT17VpWVlaqsrNSZM2eUmZmpoqKiSGcEAABRKqw9Knv27NGBAwdC9/6RpJSUFJWWliovLy9i4QAAQHQLa49KXFyc6urq2o37/X7Z7Zy2CAAAIiOsonLXXXfpBz/4gf70pz8pGAwqGAzqwIEDeuSRR3T33XdHOiMAAIhSYRWVdevWaezYsZo2bZocDoccDofy8vI0btw4Pf3005HOCAAAolRYa1SSk5P1+uuv6y9/+Uvo9OQJEyZo3LhxEQ0HAACiW4+KSmtrq371q1/pjTfeUCAQ0IwZM/TYY4/J6XT2Vj4AABDFenToZ+XKlfrJT36ihIQEfetb39LTTz+twsLC3soGAACiXI+KygsvvKCNGzfq7bff1muvvaY//OEP2rp1q1pbW3srHwAAiGI9KipnzpzRHXfcEXo+c+ZM2Ww21dTURDwYAABAj4rK3//+dzkcjjZjsbGxam5ujmgoAAAAqYeLaYPBoBYsWKC4uLjQWGNjox555BENGTIkNPbKK69ELiEAAIhaPSoq8+fPbzf2wAMPRCwMAADAN/WoqDz33HO9lQMAAKCdsK5MCwAA0BcoKgAAwFgUFQAAYCyKCgAAMBZFBQAAGIuiAgAAjEVRAQAAxqKoAAAAY1FUAACAsXp0ZVoA4fPWB+TxB+RrbFaSM1buIXa54u1WxwIAo1FUgD5Qc7FBy8qqtLfaExrLz3KrtCBb6clOC5MBgNk49AP0Mm99oF1JkaTyao9KyqrkrQ9YlAwAzEdRAXqZxx9oV1IuK6/2yOOnqADAlVBUgF7ma2zudL6ui3kAiGYUFaCXJTliO51P7GIeAKIZRQXoZe4Eu/Kz3B3O5We55U7gzB8AuBKKCtDLXPF2lRZktysr+VlurSnI5hRlAOgEpycDfSA92an1c3Lk8QdU19isREes3AlcRwUAukJRAfqIK55iAgA9xaEfAABgLIoKAAAwFkUFAAAYi6ICAACMRVEBAADGoqgAAABjUVQAAICxKCoAAMBYFBUAAGAsigoAADAWRQUAABiLogIAAIxFUQEAAMaiqAAAAGNRVAAAgLEoKgAAwFgUFQAAYCyKCgAAMBZFBQAAGIuiAgAAjEVRAQAAxqKoAAAAY1FUAACAsSgqAADAWBQVAABgLIoKAAAwFkUFAAAYa7DVAYCueOsD8vgD8jU2K8kZK/cQu1zxdqtjAQD6gKVFZfXq1XrllVf06aefyul0avr06VqzZo2uu+46K2PBIDUXG7SsrEp7qz2hsfwst0oLspWe7LQwGQCgL1h66GfPnj0qLCzUgQMH9M4776i5uVmzZs3SpUuXrIwFQ3jrA+1KiiSVV3tUUlYlb33AomQAgL5i6R6VnTt3tnn+v//7v0pNTdXhw4eVn5/fbvumpiY1NTWFnvt8vl7PCOt4/IF2JeWy8mqPPP4Ah4AAYIAzajGt1+uVJA0bNqzD+dWrV8vlcoUeGRkZfRkPfczX2NzpfF0X8wCA/s+YotLa2qolS5YoLy9PkyZN6nCb5cuXy+v1hh5nz57t45ToS0mO2E7nE7uYBwD0f8ac9VNYWKhjx45p3759V9wmLi5OcXFxfZgKVnIn2JWf5VZ5B4d/8rPccidw2AcABjoj9qg8+uijevPNN7V7926NHDnS6jgwhCvertKCbOVnuduM52e5taYgm/UpABAFLN2jEgwGtWjRIr366qt6//33lZmZaWUcGCg92an1c3Lk8QdU19isREes3AlcRwUAooWlRaWwsFAvvfSSXn/9dSUmJurcuXOSJJfLJaeTa2Tga654igkARCtbMBgMWvbhNluH488995wWLFjQ5et9Pp9cLpe8Xq+SkpIinA4AAPSGnvx+W37oBwAA4EqMWEwLAADQEYoKAAAwFkUFAAAYi6ICAACMRVEBAADGoqgAAABjUVQAAICxKCoAAMBYFBUAAGAsigoAADAWRQUAABiLogIAAIxFUQEAAMaiqAAAAGNRVAAAgLEoKgAAwFgUFQAAYCyKCgAAMBZFBQAAGIuiAgAAjEVRAQAAxqKoAAAAY1FUAACAsSgqAADAWBQVAABgLIoKAAAw1mCrA6D3eOsD8vgD8jU2K8kZK/cQu1zxdqtjAQDQbRSVAarmYoOWlVVpb7UnNJaf5VZpQbbSk50WJgMAoPs49DMAeesD7UqKJJVXe1RSViVvfcCiZAAA9AxFZQDy+APtSspl5dUeefwUFQBA/0BRGYB8jc2dztd1MQ8AgCkoKgNQkiO20/nELuYBADAFRWUAcifYlZ/l7nAuP8stdwJn/gAA+geKygDkirertCC7XVnJz3JrTUE2pygDAPoNTk8eoNKTnVo/J0cef0B1jc1KdMTKncB1VAAA/QtFZQBzxVNMAAD9G4d+AACAsSgqAADAWBQVAABgLIoKAAAwFkUFAAAYi6ICAACMRVEBAADGoqgAAABjUVQAAICxKCoAAMBYFBUAAGAsigoAADAWRQUAABiLogIAAIxFUQEAAMaiqAAAAGNRVAAAgLEoKgAAwFgUFQAAYCyKCgAAMBZFBQAAGIuiAgAAjEVRAQAAxqKoAAAAY1FUAACAsSgqAADAWBQVAABgLCOKyjPPPKMxY8bI4XDolltuUUVFhaV5vPUBnaj168MzX+nEF3556wOW5gEAIFoNtjrA9u3bVVxcrM2bN+uWW27R2rVrddttt+mzzz5Tampqn+epudigZWVV2lvtCY3lZ7lVWpCt9GRnn+cBACCaWb5H5amnntLDDz+shQsX6vrrr9fmzZsVHx+v3/72t32exVsfaFdSJKm82qOSsir2rAAA0McsLSqBQECHDx/WzJkzQ2ODBg3SzJkztX///nbbNzU1yefztXlEkscfaFdSLiuv9sjjp6gAANCXLC0qHo9HLS0tSktLazOelpamc+fOtdt+9erVcrlcoUdGRkZE8/gamzudr+tiHgAARJblh356Yvny5fJ6vaHH2bNnI/r+SY7YTucTu5gHAACRZeliWrfbrZiYGJ0/f77N+Pnz53XNNde02z4uLk5xcXG9lyfBrvwst8o7OPyTn+WWO8Hea58NAADas3SPit1u14033qhdu3aFxlpbW7Vr1y5Nmzatz/O44u0qLchWfpa7zXh+lltrCrLliqeoAADQlyw/Pbm4uFjz589Xbm6ubr75Zq1du1aXLl3SwoULLcmTnuzU+jk58vgDqmtsVqIjVu4EOyUFAAALWF5Uvve97+mLL77QihUrdO7cOU2ZMkU7d+5st8C2L7niKSYAAJjAFgwGg1aHCJfP55PL5ZLX61VSUpLVcQAAQDf05Pe7X531AwAAogtFBQAAGIuiAgAAjEVRAQAAxqKoAAAAY1FUAACAsSgqAADAWBQVAABgLIoKAAAwluWX0L8aly+q6/P5LE4CAAC66/Lvdncujt+vi0pdXZ0kKSMjw+IkAACgp+rq6uRyuTrdpl/f66e1tVU1NTVKTEyUzWaL6Hv7fD5lZGTo7Nmz3EfIAHwfZuH7MAvfh3n4TjoXDAZVV1en9PR0DRrU+SqUfr1HZdCgQRo5cmSvfkZSUhL/JTMI34dZ+D7MwvdhHr6TK+tqT8plLKYFAADGoqgAAABjUVSuIC4uTo899pji4uKsjgLxfZiG78MsfB/m4TuJnH69mBYAAAxs7FEBAADGoqgAAABjUVQAAICxKCoAAMBYFJUOPPPMMxozZowcDoduueUWVVRUWB0paq1evVo33XSTEhMTlZqaqnvuuUefffaZ1bEgqbS0VDabTUuWLLE6SlT7/PPP9cADDyglJUVOp1OTJ0/WoUOHrI4VlVpaWvSzn/1MmZmZcjqdGjt2rH7xi1906342uDKKyj/Yvn27iouL9dhjj6myslI33HCDbrvtNtXW1lodLSrt2bNHhYWFOnDggN555x01Nzdr1qxZunTpktXRotrBgwf161//WtnZ2VZHiWpfffWV8vLyFBsbqx07dujjjz/Wk08+qaFDh1odLSqtWbNGmzZt0oYNG/TJJ59ozZo1+uUvf6n169dbHa1f4/Tkf3DLLbfopptu0oYNGyR9fT+hjIwMLVq0SCUlJRanwxdffKHU1FTt2bNH+fn5VseJSn6/X1OnTtXGjRv1xBNPaMqUKVq7dq3VsaJSSUmJPvjgA+3du9fqKJB01113KS0tTb/5zW9CYwUFBXI6nXrxxRctTNa/sUflGwKBgA4fPqyZM2eGxgYNGqSZM2dq//79FibDZV6vV5I0bNgwi5NEr8LCQt15551t/ncCa7zxxhvKzc3Vvffeq9TUVOXk5OjZZ5+1OlbUmj59unbt2qXjx49Lko4ePap9+/bp9ttvtzhZ/9avb0oYaR6PRy0tLUpLS2sznpaWpk8//dSiVListbVVS5YsUV5eniZNmmR1nKi0bds2VVZW6uDBg1ZHgaSTJ09q06ZNKi4u1k9+8hMdPHhQRUVFstvtmj9/vtXxok5JSYl8Pp/Gjx+vmJgYtbS0aOXKlZo7d67V0fo1igr6jcLCQh07dkz79u2zOkpUOnv2rBYvXqx33nlHDofD6jjQ1+U9NzdXq1atkiTl5OTo2LFj2rx5M0XFAr/73e+0detWvfTSS5o4caKOHDmiJUuWKD09ne/jKlBUvsHtdismJkbnz59vM37+/Hldc801FqWCJD366KN68803VV5erpEjR1odJyodPnxYtbW1mjp1amispaVF5eXl2rBhg5qamhQTE2NhwugzYsQIXX/99W3GJkyYoLKyMosSRbcf//jHKikp0f333y9Jmjx5sk6fPq3Vq1dTVK4Ca1S+wW6368Ybb9SuXbtCY62trdq1a5emTZtmYbLoFQwG9eijj+rVV1/Ve++9p8zMTKsjRa0ZM2boo48+0pEjR0KP3NxczZ07V0eOHKGkWCAvL6/d6frHjx/X6NGjLUoU3err6zVoUNuf1ZiYGLW2tlqUaGBgj8o/KC4u1vz585Wbm6ubb75Za9eu1aVLl7Rw4UKro0WlwsJCvfTSS3r99deVmJioc+fOSZJcLpecTqfF6aJLYmJiu7VBQ4YMUUpKCmuGLLJ06VJNnz5dq1at0n333aeKigpt2bJFW7ZssTpaVJo9e7ZWrlypUaNGaeLEifrwww/11FNP6cEHH7Q6Wv8WRDvr168Pjho1Kmi324M333xz8MCBA1ZHilqSOnw899xzVkdDMBj8zne+E1y8eLHVMaLaH/7wh+CkSZOCcXFxwfHjxwe3bNlidaSo5fP5gosXLw6OGjUq6HA4gt/+9reD//Vf/xVsamqyOlq/xnVUAACAsVijAgAAjEVRAQAAxqKoAAAAY1FUAACAsSgqAADAWBQVAABgLIoKAAAwFkUFAAAYi6ICIKIWLFige+65x7LPnzdvXuhuwl25//779eSTT/ZyIgBXgyvTAug2m83W6fxjjz2mpUuXKhgMKjk5uW9CfcPRo0d166236vTp00pISOhy+2PHjik/P1+nTp2Sy+Xqg4QAeoqiAqDbLt8UUpK2b9+uFStWtLl7b0JCQrcKQm956KGHNHjwYG3evLnbr7npppu0YMECFRYW9mIyAOHi0A+AbrvmmmtCD5fLJZvN1mYsISGh3aGff/7nf9aiRYu0ZMkSDR06VGlpaXr22WdDdyVPTEzUuHHjtGPHjjafdezYMd1+++1KSEhQWlqa5s2bJ4/Hc8VsLS0t+v3vf6/Zs2e3Gd+4caOysrLkcDiUlpam//iP/2gzP3v2bG3btu3q/8MB0CsoKgB63fPPPy+3262KigotWrRIP/zhD3Xvvfdq+vTpqqys1KxZszRv3jzV19dLki5evKhbb71VOTk5OnTokHbu3Knz58/rvvvuu+JnVFVVyev1Kjc3NzR26NAhFRUV6fHHH9dnn32mnTt3Kj8/v83rbr75ZlVUVKipqal3/ngAV4WiAqDX3XDDDfrpT3+qrKwsLV++XA6HQ263Ww8//LCysrK0YsUKffnll6qqqpIkbdiwQTk5OVq1apXGjx+vnJwc/fa3v9Xu3bt1/PjxDj/j9OnTiomJUWpqamjszJkzGjJkiO666y6NHj1aOTk5KioqavO69PR0BQKBNoe1AJiDogKg12VnZ4f+HRMTo5SUFE2ePDk0lpaWJkmqra2V9PWi2N27d4fWvCQkJGj8+PGSpBMnTnT4GQ0NDYqLi2uz4Pdf/uVfNHr0aH3729/WvHnztHXr1tBem8ucTqcktRsHYAaKCoBeFxsb2+a5zWZrM3a5XLS2tkqS/H6/Zs+erSNHjrR5VFdXtzt0c5nb7VZ9fb0CgUBoLDExUZWVlXr55Zc1YsQIrVixQjfccIMuXrwY2ubChQuSpOHDh0fkbwUQWRQVAMaZOnWq/vznP2vMmDEaN25cm8eQIUM6fM2UKVMkSR9//HGb8cGDB2vmzJn65S9/qaqqKv31r3/Ve++9F5o/duyYRo4cKbfb3Wt/D4DwUVQAGKewsFAXLlzQnDlzdPDgQZ04cUJvv/22Fi5cqJaWlg5fM3z4cE2dOlX79u0Ljb355ptat26djhw5otOnT+uFF15Qa2urrrvuutA2e/fu1axZs3r9bwIQHooKAOOkp6frgw8+UEtLi2bNmqXJkydryZIlSk5O1qBBV/6/rYceekhbt24NPU9OTtYrr7yiW2+9VRMmTNDmzZv18ssva+LEiZKkxsZGvfbaa3r44Yd7/W8CEB4u+AZgwGhoaNB1112n7du3a9q0aV1uv2nTJr366qv6v//7vz5IByAc7FEBMGA4nU698MILnV4Y7ptiY2O1fv36Xk4F4GqwRwUAABiLPSoAAMBYFBUAAGAsigoAADAWRQUAABiLogIAAIxFUQEAAMaiqAAAAGNRVAAAgLEoKgAAwFj/D9JBso3TqYq8AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pdpatch.seaborn import sns\n",
    "sns.scatterplot(data=df, x='time__s__', y='position__m__');"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add Altair-like Operation to plotly Figures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter(df,x='time__s__', y='time__s__') | px.scatter(df,x='time__s__', y=['position__m__', 'speed__m/s__'])\n",
    "fig.show('png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter(df,x='time__s__', y='time__s__') / px.scatter(df,x='time__s__', y=['position__m__', 'speed__m/s__'])\n",
    "fig.show('png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter(df,x='time__s__', y='time__s__') | px.scatter(df,x='time__s__', y=['position__m__', 'speed__m/s__'])\n",
    "(fig / fig).show('png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Shorter methods\n",
    "\n",
    "\n",
    "`df.rename(columns={'col_1': 'new_name'})`->`df.renamec('col_1', 'new_name')`\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'<table border=\"1\" class=\"dataframe\">\\n  <thead>\\n    <tr style=\"text-align: right;\">\\n      <th></th>\\n      <th>new_name</th>\\n      <th>col_2</th>\\n    </tr>\\n  </thead>\\n  <tbody>\\n    <tr>\\n      <th>0</th>\\n      <td>100</td>\\n      <td>a</td>\\n    </tr>\\n    <tr>\\n      <th>1</th>\\n      <td>101</td>\\n      <td>b</td>\\n    </tr>\\n    <tr>\\n      <th>2</th>\\n      <td>102</td>\\n      <td>c</td>\\n    </tr>\\n    <tr>\\n      <th>3</th>\\n      <td>103</td>\\n      <td>d</td>\\n    </tr>\\n    <tr>\\n      <th>4</th>\\n      <td>104</td>\\n      <td>e</td>\\n    </tr>\\n  </tbody>\\n</table>'"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = dummydf()\n",
    "df.renamec('col_1', 'new_name').to_html()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Functions as methods\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.len()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### New methods\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 104)"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.col_1.minmax"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Utility functions\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'<table border=\"1\" class=\"dataframe\">\\n  <thead>\\n    <tr style=\"text-align: right;\">\\n      <th></th>\\n      <th>col_1</th>\\n      <th>col_2</th>\\n    </tr>\\n  </thead>\\n  <tbody>\\n    <tr>\\n      <th>0</th>\\n      <td>100</td>\\n      <td>a</td>\\n    </tr>\\n    <tr>\\n      <th>1</th>\\n      <td>101</td>\\n      <td>b</td>\\n    </tr>\\n    <tr>\\n      <th>2</th>\\n      <td>102</td>\\n      <td>c</td>\\n    </tr>\\n    <tr>\\n      <th>3</th>\\n      <td>103</td>\\n      <td>d</td>\\n    </tr>\\n    <tr>\\n      <th>4</th>\\n      <td>104</td>\\n      <td>e</td>\\n    </tr>\\n  </tbody>\\n</table>'"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = dummydf()\n",
    "df.to_html()"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "python3",
   "language": "python",
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