law_exp.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import store\n",
    "from operator import itemgetter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Zipf's Law"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('the', 1160),\n",
       " ('to', 1149),\n",
       " ('gift', 1034),\n",
       " ('a', 933),\n",
       " ('and', 910),\n",
       " ('it', 908),\n",
       " ('i', 852),\n",
       " ('card', 756),\n",
       " ('for', 625),\n",
       " ('was', 542),\n",
       " ('this', 438),\n",
       " ('my', 416),\n",
       " ('of', 340),\n",
       " ('great', 324),\n",
       " ('love', 313),\n",
       " ('is', 281),\n",
       " ('on', 258),\n",
       " ('use', 257),\n",
       " ('you', 254),\n",
       " ('in', 251),\n",
       " ('they', 240),\n",
       " ('easi', 231),\n",
       " ('that', 227),\n",
       " ('amazon', 220),\n",
       " ('with', 214),\n",
       " ('not', 203),\n",
       " ('as', 187),\n",
       " ('so', 174),\n",
       " ('have', 171),\n",
       " ('veri', 161),\n",
       " ('get', 157),\n",
       " ('be', 145),\n",
       " ('work', 139),\n",
       " ('perfect', 135),\n",
       " ('give', 132),\n",
       " ('but', 131),\n",
       " ('she', 131),\n",
       " ('what', 130),\n",
       " ('way', 128),\n",
       " ('at', 127),\n",
       " ('purchas', 124),\n",
       " ('an', 123),\n",
       " ('time', 121),\n",
       " ('receiv', 117),\n",
       " ('can', 114),\n",
       " ('like', 112),\n",
       " ('no', 111),\n",
       " ('want', 106),\n",
       " ('are', 104),\n",
       " ('out', 102),\n",
       " ('had', 100),\n",
       " ('or', 99),\n",
       " ('buy', 99),\n",
       " ('would', 98),\n",
       " ('from', 96),\n",
       " ('when', 95),\n",
       " ('he', 95),\n",
       " ('good', 94),\n",
       " ('them', 93),\n",
       " ('her', 93),\n",
       " ('just', 92),\n",
       " ('send', 91),\n",
       " ('will', 91),\n",
       " ('recipi', 91),\n",
       " ('one', 90),\n",
       " ('got', 89),\n",
       " ('me', 89),\n",
       " ('email', 87),\n",
       " ('go', 86),\n",
       " ('we', 81),\n",
       " ('quick', 80),\n",
       " ('if', 79),\n",
       " ('who', 78),\n",
       " ('there', 77),\n",
       " ('were', 77),\n",
       " ('order', 77),\n",
       " ('do', 77),\n",
       " ('their', 74),\n",
       " ('friend', 73),\n",
       " ('these', 71),\n",
       " ('minut', 70),\n",
       " ('thank', 69),\n",
       " ('make', 67),\n",
       " ('sent', 66),\n",
       " ('arriv', 65),\n",
       " ('all', 63),\n",
       " ('could', 63),\n",
       " ('realli', 63),\n",
       " ('print', 62),\n",
       " ('christma', 62),\n",
       " ('facebook', 62),\n",
       " ('birthday', 61),\n",
       " ('fast', 61),\n",
       " ('abl', 61),\n",
       " ('your', 60),\n",
       " ('onli', 60),\n",
       " ('know', 58),\n",
       " ('alway', 58),\n",
       " ('nice', 57),\n",
       " ('day', 57),\n",
       " ('well', 56),\n",
       " ('bought', 54),\n",
       " ('happi', 53),\n",
       " ('need', 53),\n",
       " ('didnt', 53),\n",
       " ('more', 52),\n",
       " ('product', 52),\n",
       " ('person', 51),\n",
       " ('famili', 50),\n",
       " ('dont', 49),\n",
       " ('made', 49),\n",
       " ('how', 48),\n",
       " ('restaur', 48),\n",
       " ('up', 48),\n",
       " ('never', 48),\n",
       " ('about', 48),\n",
       " ('excel', 47),\n",
       " ('money', 47),\n",
       " ('again', 47),\n",
       " ('becaus', 47),\n",
       " ('item', 46),\n",
       " ('say', 46),\n",
       " ('deliv', 46),\n",
       " ('servic', 45),\n",
       " ('some', 45),\n",
       " ('appreci', 45),\n",
       " ('cant', 45),\n",
       " ('enjoy', 45),\n",
       " ('his', 45),\n",
       " ('last', 44),\n",
       " ('idea', 44),\n",
       " ('someon', 44),\n",
       " ('shop', 44),\n",
       " ('conveni', 43),\n",
       " ('much', 43),\n",
       " ('right', 43),\n",
       " ('even', 42),\n",
       " ('did', 42),\n",
       " ('food', 42),\n",
       " ('than', 41),\n",
       " ('has', 41),\n",
       " ('ani', 40),\n",
       " ('gave', 39),\n",
       " ('by', 39),\n",
       " ('other', 38),\n",
       " ('cute', 37),\n",
       " ('away', 37),\n",
       " ('daughter', 37),\n",
       " ('problem', 36),\n",
       " ('son', 36),\n",
       " ('live', 36),\n",
       " ('through', 35),\n",
       " ('deliveri', 35),\n",
       " ('peopl', 34),\n",
       " ('now', 33),\n",
       " ('expect', 32),\n",
       " ('sinc', 32),\n",
       " ('been', 32),\n",
       " ('year', 32),\n",
       " ('present', 32),\n",
       " ('went', 31),\n",
       " ('tri', 31),\n",
       " ('ship', 31),\n",
       " ('home', 30),\n",
       " ('store', 30),\n",
       " ('our', 30),\n",
       " ('sure', 30),\n",
       " ('see', 30),\n",
       " ('which', 29),\n",
       " ('am', 29),\n",
       " ('pleas', 29),\n",
       " ('anyon', 29),\n",
       " ('recommend', 29),\n",
       " ('place', 29),\n",
       " ('someth', 28),\n",
       " ('also', 28),\n",
       " ('im', 28),\n",
       " ('thing', 28),\n",
       " ('best', 27),\n",
       " ('5', 26),\n",
       " ('option', 26),\n",
       " ('think', 26),\n",
       " ('befor', 26),\n",
       " ('then', 26),\n",
       " ('price', 26),\n",
       " ('offer', 25),\n",
       " ('him', 25),\n",
       " ('box', 25),\n",
       " ('after', 24),\n",
       " ('custom', 24),\n",
       " ('first', 24),\n",
       " ('lot', 24),\n",
       " ('2', 24),\n",
       " ('via', 24),\n",
       " ('came', 24),\n",
       " ('better', 24),\n",
       " ('said', 24),\n",
       " ('too', 24),\n",
       " ('issu', 23),\n",
       " ('littl', 23),\n",
       " ('put', 23),\n",
       " ('choos', 23),\n",
       " ('call', 23),\n",
       " ('help', 23),\n",
       " ('find', 22),\n",
       " ('mail', 22),\n",
       " ('wait', 22),\n",
       " ('code', 22),\n",
       " ('exact', 22),\n",
       " ('awesom', 22),\n",
       " ('thought', 22),\n",
       " ('fun', 22),\n",
       " ('sister', 22),\n",
       " ('kid', 21),\n",
       " ('simpl', 21),\n",
       " ('fine', 21),\n",
       " ('onlin', 21),\n",
       " ('everyth', 21),\n",
       " ('post', 21),\n",
       " ('most', 21),\n",
       " ('back', 20),\n",
       " ('look', 20),\n",
       " ('still', 20),\n",
       " ('everyon', 20),\n",
       " ('immedi', 20),\n",
       " ('anyth', 20),\n",
       " ('wrong', 20),\n",
       " ('pick', 20),\n",
       " ('member', 19),\n",
       " ('pay', 19),\n",
       " ('review', 19),\n",
       " ('two', 19),\n",
       " ('within', 19),\n",
       " ('come', 19),\n",
       " ('own', 19),\n",
       " ('without', 19),\n",
       " ('couldnt', 19),\n",
       " ('especi', 19),\n",
       " ('valu', 19),\n",
       " ('both', 19),\n",
       " ('credit', 19),\n",
       " ('accept', 19),\n",
       " ('doe', 18),\n",
       " ('where', 18),\n",
       " ('us', 18),\n",
       " ('certif', 18),\n",
       " ('design', 18),\n",
       " ('book', 18),\n",
       " ('noth', 18),\n",
       " ('wonder', 18),\n",
       " ('over', 18),\n",
       " ('should', 18),\n",
       " ('account', 18),\n",
       " ('off', 18),\n",
       " ('such', 18),\n",
       " ('took', 18),\n",
       " ('mani', 18),\n",
       " ('surpris', 18),\n",
       " ('doesnt', 18),\n",
       " ('everi', 18),\n",
       " ('new', 17),\n",
       " ('free', 17),\n",
       " ('take', 17),\n",
       " ('10', 17),\n",
       " ('high', 17),\n",
       " ('check', 17),\n",
       " ('redeem', 17),\n",
       " ('star', 17),\n",
       " ('let', 16),\n",
       " ('differ', 16),\n",
       " ('read', 16),\n",
       " ('coupl', 16),\n",
       " ('super', 16),\n",
       " ('wife', 16),\n",
       " ('mom', 16),\n",
       " ('seem', 16),\n",
       " ('brother', 16),\n",
       " ('niec', 16),\n",
       " ('deal', 16),\n",
       " ('choic', 16),\n",
       " ('hard', 15),\n",
       " ('seller', 15),\n",
       " ('those', 15),\n",
       " ('wish', 15),\n",
       " ('messag', 15),\n",
       " ('ok', 15),\n",
       " ('same', 15),\n",
       " ('found', 15),\n",
       " ('grandson', 15),\n",
       " ('giftcard', 15),\n",
       " ('balanc', 15),\n",
       " ('anoth', 15),\n",
       " ('far', 15),\n",
       " ('movi', 15),\n",
       " ('number', 15),\n",
       " ('ticket', 15),\n",
       " ('cours', 14),\n",
       " ('kind', 14),\n",
       " ('few', 14),\n",
       " ('disappoint', 14),\n",
       " ('end', 14),\n",
       " ('myself', 14),\n",
       " ('egift', 14),\n",
       " ('spend', 14),\n",
       " ('amazoncom', 14),\n",
       " ('fact', 14),\n",
       " ('cash', 14),\n",
       " ('definit', 14),\n",
       " ('worth', 14),\n",
       " ('favorit', 14),\n",
       " ('open', 14),\n",
       " ('ecard', 14),\n",
       " ('here', 14),\n",
       " ('3', 14),\n",
       " ('eat', 14),\n",
       " ('avail', 13),\n",
       " ('activ', 13),\n",
       " ('packag', 13),\n",
       " ('whatev', 13),\n",
       " ('small', 13),\n",
       " ('process', 13),\n",
       " ('part', 13),\n",
       " ('pictur', 13),\n",
       " ('kindl', 13),\n",
       " ('instead', 13),\n",
       " ('told', 13),\n",
       " ('special', 13),\n",
       " ('while', 13),\n",
       " ('almost', 13),\n",
       " ('around', 13),\n",
       " ('save', 13),\n",
       " ('ever', 13),\n",
       " ('hour', 13),\n",
       " ('dollar', 13),\n",
       " ('discount', 12),\n",
       " ('except', 12),\n",
       " ('experi', 12),\n",
       " ('occas', 12),\n",
       " ('week', 12),\n",
       " ('actual', 12),\n",
       " ('futur', 12),\n",
       " ('keep', 12),\n",
       " ('thrill', 12),\n",
       " ('bad', 12),\n",
       " ('hassl', 12),\n",
       " ('address', 12),\n",
       " ('state', 12),\n",
       " ('50', 12),\n",
       " ('anim', 12),\n",
       " ('sever', 12),\n",
       " ('wast', 11),\n",
       " ('each', 11),\n",
       " ('direct', 11),\n",
       " ('select', 11),\n",
       " ('allow', 11),\n",
       " ('big', 11),\n",
       " ('holiday', 11),\n",
       " ('pretti', 11),\n",
       " ('easier', 11),\n",
       " ('nephew', 11),\n",
       " ('100', 11),\n",
       " ('done', 11),\n",
       " ('decid', 11),\n",
       " ('ive', 11),\n",
       " ('phone', 11),\n",
       " ('mother', 11),\n",
       " ('return', 11),\n",
       " ('paid', 11),\n",
       " ('law', 11),\n",
       " ('next', 11),\n",
       " ('local', 11),\n",
       " ('locat', 11),\n",
       " ('husband', 11),\n",
       " ('busi', 11),\n",
       " ('howev', 11),\n",
       " ('advertis', 10),\n",
       " ('show', 10),\n",
       " ('compani', 10),\n",
       " ('wouldnt', 10),\n",
       " ('down', 10),\n",
       " ('easili', 10),\n",
       " ('paper', 10),\n",
       " ('envelop', 10),\n",
       " ('case', 10),\n",
       " ('old', 10),\n",
       " ('describ', 10),\n",
       " ('instant', 10),\n",
       " ('relat', 10),\n",
       " ('reason', 10),\n",
       " ('area', 10),\n",
       " ('babi', 10),\n",
       " ('track', 10),\n",
       " ('charg', 10),\n",
       " ('parti', 10),\n",
       " ('wasnt', 10),\n",
       " ('qualiti', 10),\n",
       " ('els', 10),\n",
       " ('20', 10),\n",
       " ('enough', 10),\n",
       " ('later', 10),\n",
       " ('extrem', 9),\n",
       " ('25', 9),\n",
       " ('color', 9),\n",
       " ('into', 9),\n",
       " ('amount', 9),\n",
       " ('itself', 9),\n",
       " ('countri', 9),\n",
       " ('troubl', 9),\n",
       " ('shower', 9),\n",
       " ('given', 9),\n",
       " ('hand', 9),\n",
       " ('matter', 9),\n",
       " ('worri', 9),\n",
       " ('id', 9),\n",
       " ('fix', 9),\n",
       " ('whi', 9),\n",
       " ('contact', 9),\n",
       " ('cool', 9),\n",
       " ('granddaught', 9),\n",
       " ('father', 9),\n",
       " ('learn', 9),\n",
       " ('sale', 9),\n",
       " ('though', 9),\n",
       " ('note', 8),\n",
       " ('provid', 8),\n",
       " ('hit', 8),\n",
       " ('life', 8),\n",
       " ('rather', 8),\n",
       " ('electron', 8),\n",
       " ('delight', 8),\n",
       " ('set', 8),\n",
       " ('insid', 8),\n",
       " ('celebr', 8),\n",
       " ('date', 8),\n",
       " ('ask', 8),\n",
       " ('charm', 8),\n",
       " ('ill', 8),\n",
       " ('tell', 8),\n",
       " ('teen', 8),\n",
       " ('town', 8),\n",
       " ('trip', 8),\n",
       " ('greet', 8),\n",
       " ('spent', 8),\n",
       " ('notic', 8),\n",
       " ('whole', 8),\n",
       " ('fb', 8),\n",
       " ('yet', 8),\n",
       " ('chose', 8),\n",
       " ('travel', 8),\n",
       " ('parent', 8),\n",
       " ('cheesecak', 8),\n",
       " ('websit', 8),\n",
       " ('must', 8),\n",
       " ('fantast', 8),\n",
       " ('alreadi', 7),\n",
       " ('mine', 7),\n",
       " ('complet', 7),\n",
       " ('season', 7),\n",
       " ('prime', 7),\n",
       " ('regist', 7),\n",
       " ('leav', 7),\n",
       " ('unabl', 7),\n",
       " ('interest', 7),\n",
       " ('winner', 7),\n",
       " ('click', 7),\n",
       " ('win', 7),\n",
       " ('excelent', 7),\n",
       " ('excit', 7),\n",
       " ('carri', 7),\n",
       " ('30', 7),\n",
       " ('access', 7),\n",
       " ('user', 7),\n",
       " ('fit', 7),\n",
       " ('anniversari', 7),\n",
       " ('dad', 7),\n",
       " ('hope', 7),\n",
       " ('face', 7),\n",
       " ('varieti', 7),\n",
       " ('info', 7),\n",
       " ('method', 7),\n",
       " ('full', 7),\n",
       " ('request', 7),\n",
       " ('valid', 7),\n",
       " ('xmas', 7),\n",
       " ('turn', 7),\n",
       " ('gone', 7),\n",
       " ('absolut', 7),\n",
       " ('pizza', 7),\n",
       " ('funni', 7),\n",
       " ('visit', 7),\n",
       " ('long', 7),\n",
       " ('left', 7),\n",
       " ('entir', 7),\n",
       " ('theater', 7),\n",
       " ('may', 7),\n",
       " ('across', 7),\n",
       " ('starbuck', 7),\n",
       " ('onc', 7),\n",
       " ('cost', 7),\n",
       " ('extra', 7),\n",
       " ('toward', 7),\n",
       " ('video', 7),\n",
       " ('effici', 7),\n",
       " ('holder', 7),\n",
       " ('pin', 7),\n",
       " ('amaz', 7),\n",
       " ('music', 7),\n",
       " ('start', 7),\n",
       " ('wed', 7),\n",
       " ('movieticketscom', 7),\n",
       " ('mention', 6),\n",
       " ('refund', 6),\n",
       " ('until', 6),\n",
       " ('complain', 6),\n",
       " ('bonus', 6),\n",
       " ('mean', 6),\n",
       " ('quit', 6),\n",
       " ('touch', 6),\n",
       " ('dure', 6),\n",
       " ('teacher', 6),\n",
       " ('eas', 6),\n",
       " ('confirm', 6),\n",
       " ('tip', 6),\n",
       " ('often', 6),\n",
       " ('load', 6),\n",
       " ('children', 6),\n",
       " ('complaint', 6),\n",
       " ('correct', 6),\n",
       " ('attempt', 6),\n",
       " ('bewar', 6),\n",
       " ('import', 6),\n",
       " ('includ', 6),\n",
       " ('line', 6),\n",
       " ('cover', 6),\n",
       " ('size', 6),\n",
       " ('handi', 6),\n",
       " ('mile', 6),\n",
       " ('promot', 6),\n",
       " ('beauti', 6),\n",
       " ('simpli', 6),\n",
       " ('car', 6),\n",
       " ('intend', 6),\n",
       " ('enter', 6),\n",
       " ('whether', 6),\n",
       " ('reserv', 6),\n",
       " ('usual', 6),\n",
       " ('comput', 6),\n",
       " ('either', 6),\n",
       " ('scam', 6),\n",
       " ('add', 6),\n",
       " ('care', 6),\n",
       " ('play', 6),\n",
       " ('page', 6),\n",
       " ('wall', 6),\n",
       " ('postag', 6),\n",
       " ('cousin', 6),\n",
       " ('apochi', 6),\n",
       " ('mall', 5),\n",
       " ('buyer', 5),\n",
       " ('readi', 5),\n",
       " ('receipt', 5),\n",
       " ('prompt', 5),\n",
       " ('feel', 5),\n",
       " ('graphic', 5),\n",
       " ('satisfi', 5),\n",
       " ('young', 5),\n",
       " ('talk', 5),\n",
       " ('lost', 5),\n",
       " ('side', 5),\n",
       " ('payment', 5),\n",
       " ('isnt', 5),\n",
       " ('under', 5),\n",
       " ('rate', 5),\n",
       " ('meal', 5),\n",
       " ('connect', 5),\n",
       " ('printer', 5),\n",
       " ('smile', 5),\n",
       " ('button', 5),\n",
       " ('drop', 5),\n",
       " ('close', 5),\n",
       " ('bar', 5),\n",
       " ('burger', 5),\n",
       " ('vacat', 5),\n",
       " ('pack', 5),\n",
       " ('believ', 5),\n",
       " ('cancel', 5),\n",
       " ('purpos', 5),\n",
       " ('girl', 5),\n",
       " ('guy', 5),\n",
       " ('etc', 5),\n",
       " ('three', 5),\n",
       " ('final', 5),\n",
       " ('inform', 5),\n",
       " ('larg', 5),\n",
       " ('easiest', 5),\n",
       " ('world', 5),\n",
       " ('poor', 5),\n",
       " ('denomin', 5),\n",
       " ('bent', 5),\n",
       " ('bit', 5),\n",
       " ('thru', 5),\n",
       " ('hold', 5),\n",
       " ('follow', 5),\n",
       " ('room', 5),\n",
       " ('colleg', 5),\n",
       " ('e', 5),\n",
       " ('beat', 5),\n",
       " ('sell', 5),\n",
       " ('might', 5),\n",
       " ('transact', 5),\n",
       " ('spot', 5),\n",
       " ('clear', 5),\n",
       " ('descript', 5),\n",
       " ('voucher', 5),\n",
       " ('manag', 5),\n",
       " ('factori', 5),\n",
       " ('stuck', 5),\n",
       " ('dinner', 5),\n",
       " ('less', 5),\n",
       " ('month', 5),\n",
       " ('appear', 5),\n",
       " ('type', 5),\n",
       " ('hotel', 5),\n",
       " ('spa', 5),\n",
       " ('ten', 5),\n",
       " ('class', 5),\n",
       " ('limit', 5),\n",
       " ('laugh', 5),\n",
       " ('staff', 5),\n",
       " ('treat', 5),\n",
       " ('top', 5),\n",
       " ('arent', 4),\n",
       " ('fail', 4),\n",
       " ('list', 4),\n",
       " ('stop', 4),\n",
       " ('6', 4),\n",
       " ('second', 4),\n",
       " ('black', 4),\n",
       " ('possibl', 4),\n",
       " ('stock', 4),\n",
       " ('graduat', 4),\n",
       " ('grand', 4),\n",
       " ('market', 4),\n",
       " ('requir', 4),\n",
       " ('cheap', 4),\n",
       " ('replac', 4),\n",
       " ('result', 4),\n",
       " ('y', 4),\n",
       " ('rememb', 4),\n",
       " ('shes', 4),\n",
       " ('particip', 4),\n",
       " ('boy', 4),\n",
       " ('oversea', 4),\n",
       " ('serv', 4),\n",
       " ('difficult', 4),\n",
       " ('okay', 4),\n",
       " ('havent', 4),\n",
       " ('yes', 4),\n",
       " ('moment', 4),\n",
       " ('assist', 4),\n",
       " ('particular', 4),\n",
       " ('fabul', 4),\n",
       " ('salad', 4),\n",
       " ('shipment', 4),\n",
       " ('write', 4),\n",
       " ('manner', 4),\n",
       " ('seen', 4),\n",
       " ('today', 4),\n",
       " ('adult', 4),\n",
       " ('assum', 4),\n",
       " ('bill', 4),\n",
       " ('forev', 4),\n",
       " ('brought', 4),\n",
       " ('team', 4),\n",
       " ('gc', 4),\n",
       " ('share', 4),\n",
       " ('fee', 4),\n",
       " ('steak', 4),\n",
       " ('wing', 4),\n",
       " ('expir', 4),\n",
       " ('basic', 4),\n",
       " ('met', 4),\n",
       " ('tag', 4),\n",
       " ('stuff', 4),\n",
       " ('ador', 4),\n",
       " ('fulli', 4),\n",
       " ('appropri', 4),\n",
       " ('run', 4),\n",
       " ('behind', 4),\n",
       " ('plan', 4),\n",
       " ('earn', 4),\n",
       " ('error', 4),\n",
       " ('youll', 4),\n",
       " ('lazi', 4),\n",
       " ('real', 4),\n",
       " ('huge', 4),\n",
       " ('guess', 4),\n",
       " ('comfort', 4),\n",
       " ('hoop', 4),\n",
       " ('chicken', 4),\n",
       " ('fri', 4),\n",
       " ('usa', 4),\n",
       " ('honor', 4),\n",
       " ('due', 4),\n",
       " ('restrict', 4),\n",
       " ('handl', 4),\n",
       " ('happen', 4),\n",
       " ('consid', 4),\n",
       " ('sephora', 4),\n",
       " ('knew', 4),\n",
       " ('chili', 4),\n",
       " ('hous', 4),\n",
       " ('chanc', 4),\n",
       " ('chang', 4),\n",
       " ('hes', 4),\n",
       " ('normal', 4),\n",
       " ('individu', 4),\n",
       " ('contain', 4),\n",
       " ('math', 4),\n",
       " ('desir', 4),\n",
       " ('unless', 4),\n",
       " ('plastic', 4),\n",
       " ('event', 4),\n",
       " ('truli', 4),\n",
       " ('move', 4),\n",
       " ('concern', 4),\n",
       " ('attend', 4),\n",
       " ('saw', 4),\n",
       " ('anyway', 4),\n",
       " ('sold', 4),\n",
       " ('timelin', 4),\n",
       " ('lesson', 4),\n",
       " ('california', 4),\n",
       " ('profession', 4),\n",
       " ('tutor', 4),\n",
       " ('longer', 3),\n",
       " ('membership', 3),\n",
       " ('non', 3),\n",
       " ('upon', 3),\n",
       " ('ihop', 3),\n",
       " ('mind', 3),\n",
       " ('shade', 3),\n",
       " ('space', 3),\n",
       " ('white', 3),\n",
       " ('similar', 3),\n",
       " ('situat', 3),\n",
       " ('fair', 3),\n",
       " ('frequent', 3),\n",
       " ('although', 3),\n",
       " ('approach', 3),\n",
       " ('becom', 3),\n",
       " ('addit', 3),\n",
       " ('child', 3),\n",
       " ('proper', 3),\n",
       " ('grandkid', 3),\n",
       " ('es', 3),\n",
       " ('lo', 3),\n",
       " ('prize', 3),\n",
       " ('reader', 3),\n",
       " ('compliment', 3),\n",
       " ('avid', 3),\n",
       " ('plus', 3),\n",
       " ('solut', 3),\n",
       " ('lose', 3),\n",
       " ('app', 3),\n",
       " ('10000', 3),\n",
       " ('creat', 3),\n",
       " ('soninlaw', 3),\n",
       " ('liter', 3),\n",
       " ('cat', 3),\n",
       " ('4', 3),\n",
       " ('dec', 3),\n",
       " ('procrastin', 3),\n",
       " ('recent', 3),\n",
       " ('american', 3),\n",
       " ('fresh', 3),\n",
       " ('empti', 3),\n",
       " ('administr', 3),\n",
       " ('ladi', 3),\n",
       " ('school', 3),\n",
       " ('download', 3),\n",
       " ('smart', 3),\n",
       " ('probabl', 3),\n",
       " ('wrap', 3),\n",
       " ('doubl', 3),\n",
       " ('cloth', 3),\n",
       " ('groceri', 3),\n",
       " ('18', 3),\n",
       " ('rip', 3),\n",
       " ('tin', 3),\n",
       " ('job', 3),\n",
       " ('link', 3),\n",
       " ('pass', 3),\n",
       " ('photo', 3),\n",
       " ('teenag', 3),\n",
       " ('combin', 3),\n",
       " ('pleasant', 3),\n",
       " ('crowd', 3),\n",
       " ('origin', 3),\n",
       " ('claim', 3),\n",
       " ('hair', 3),\n",
       " ('confus', 3),\n",
       " ('fuss', 3),\n",
       " ('resend', 3),\n",
       " ('1000', 3),\n",
       " ('apart', 3),\n",
       " ('fell', 3),\n",
       " ('exceed', 3),\n",
       " ('attract', 3),\n",
       " ('man', 3),\n",
       " ('photographi', 3),\n",
       " ('generic', 3),\n",
       " ('piec', 3),\n",
       " ('separ', 3),\n",
       " ('earlier', 3),\n",
       " ('menu', 3),\n",
       " ('breath', 3),\n",
       " ('gotten', 3),\n",
       " ('glad', 3),\n",
       " ('unfortun', 3),\n",
       " ('ice', 3),\n",
       " ('gas', 3),\n",
       " ('station', 3),\n",
       " ('makeup', 3),\n",
       " ('front', 3),\n",
       " ('yoyo', 3),\n",
       " ('age', 3),\n",
       " ('mess', 3),\n",
       " ('welcom', 3),\n",
       " ('respons', 3),\n",
       " ('40', 3),\n",
       " ('buck', 3),\n",
       " ('drink', 3),\n",
       " ('late', 3),\n",
       " ('sound', 3),\n",
       " ('wow', 3),\n",
       " ('brand', 3),\n",
       " ('wa', 3),\n",
       " ('alert', 3),\n",
       " ('0', 3),\n",
       " ('twice', 3),\n",
       " ('point', 3),\n",
       " ('raley', 3),\n",
       " ('physic', 3),\n",
       " ('system', 3),\n",
       " ('half', 3),\n",
       " ('regular', 3),\n",
       " ('addict', 3),\n",
       " ('toy', 3),\n",
       " ('fire', 3),\n",
       " ('retail', 3),\n",
       " ('wrote', 3),\n",
       " ('ago', 3),\n",
       " ('soft', 3),\n",
       " ('stuffer', 3),\n",
       " ('ad', 3),\n",
       " ('ahead', 3),\n",
       " ('appet', 3),\n",
       " ('prior', 3),\n",
       " ('exist', 3),\n",
       " ('outsid', 3),\n",
       " ('stay', 3),\n",
       " ('worst', 3),\n",
       " ('coffe', 3),\n",
       " ('anywher', 3),\n",
       " ('figur', 3),\n",
       " ('watch', 3),\n",
       " ('expens', 3),\n",
       " ('fan', 3),\n",
       " ('mayb', 3),\n",
       " ('indic', 3),\n",
       " ('suppli', 3),\n",
       " ('serendip', 3),\n",
       " ('theme', 3),\n",
       " ('group', 3),\n",
       " ('benefit', 3),\n",
       " ('cert', 3),\n",
       " ('obvious', 3),\n",
       " ('ultim', 3),\n",
       " ('itun', 3),\n",
       " ('spas', 3),\n",
       " ('spoil', 3),\n",
       " ('comment', 3),\n",
       " ('word', 3),\n",
       " ('grandchild', 3),\n",
       " ('depot', 3),\n",
       " ('pocket', 3),\n",
       " ('tini', 3),\n",
       " ('filter', 3),\n",
       " ('jiffi', 3),\n",
       " ('lube', 3),\n",
       " ('oil', 3),\n",
       " ('wont', 3),\n",
       " ('near', 3),\n",
       " ('older', 3),\n",
       " ('coin', 3),\n",
       " ('rock', 3),\n",
       " ('main', 3),\n",
       " ('sick', 3),\n",
       " ('girlfriend', 3),\n",
       " ('instruct', 3),\n",
       " ('practic', 3),\n",
       " ('texa', 3),\n",
       " ('cruis', 3),\n",
       " ('fare', 3),\n",
       " ('5000', 3),\n",
       " ('site', 3),\n",
       " ('smooth', 3),\n",
       " ('feed', 3),\n",
       " ('game', 3),\n",
       " ('suggest', 3),\n",
       " ('atmospher', 3),\n",
       " ('tune', 3),\n",
       " ('hang', 3),\n",
       " ('ride', 3),\n",
       " ('third', 3),\n",
       " ('total', 3),\n",
       " ('test', 3),\n",
       " ('embarrass', 3),\n",
       " ('heart', 3),\n",
       " ('12', 3),\n",
       " ('lunch', 3),\n",
       " ('uniqu', 3),\n",
       " ('telemedicin', 3),\n",
       " ('incorrect', 2),\n",
       " ('join', 2),\n",
       " ('organ', 2),\n",
       " ('unavail', 2),\n",
       " ('appar', 2),\n",
       " ('past', 2),\n",
       " ('applic', 2),\n",
       " ('target', 2),\n",
       " ('preorder', 2),\n",
       " ('printabl', 2),\n",
       " ('hubbi', 2),\n",
       " ('campus', 2),\n",
       " ('standard', 2),\n",
       " ('yellow', 2),\n",
       " ('clean', 2),\n",
       " ('religi', 2),\n",
       " ('themselv', 2),\n",
       " ('vari', 2),\n",
       " ('resent', 2),\n",
       " ('caus', 2),\n",
       " ('per', 2),\n",
       " ('receip', 2),\n",
       " ('miss', 2),\n",
       " ('remind', 2),\n",
       " ('que', 2),\n",
       " ('todo', 2),\n",
       " ('contest', 2),\n",
       " ('lucki', 2),\n",
       " ('drawback', 2),\n",
       " ('dedic', 2),\n",
       " ('understand', 2),\n",
       " ('success', 2),\n",
       " ('16', 2),\n",
       " ('bake', 2),\n",
       " ('sorri', 2),\n",
       " ('neighbor', 2),\n",
       " ('volunt', 2),\n",
       " ('further', 2),\n",
       " ('pie', 2),\n",
       " ('santa', 2),\n",
       " ('featur', 2),\n",
       " ('wide', 2),\n",
       " ('eagl', 2),\n",
       " ('till', 2),\n",
       " ('peasi', 2),\n",
       " ('outstand', 2),\n",
       " ('inlaw', 2),\n",
       " ('annual', 2),\n",
       " ('obtain', 2),\n",
       " ('hack', 2),\n",
       " ('finish', 2),\n",
       " ('299', 2),\n",
       " ('associ', 2),\n",
       " ('earli', 2),\n",
       " ('schedul', 2),\n",
       " ('cowork', 2),\n",
       " ('cardsi', 2),\n",
       " ('kohl', 2),\n",
       " ('pharmaci', 2),\n",
       " ('polici', 2),\n",
       " ('sort', 2),\n",
       " ('yourself', 2),\n",
       " ('dissapoint', 2),\n",
       " ('trust', 2),\n",
       " ('tire', 2),\n",
       " ('realiz', 2),\n",
       " ('weekend', 2),\n",
       " ('inbox', 2),\n",
       " ('offic', 2),\n",
       " ('upload', 2),\n",
       " ('meet', 2),\n",
       " ('multipl', 2),\n",
       " ('s', 2),\n",
       " ('amc', 2),\n",
       " ('divers', 2),\n",
       " ('jumper', 2),\n",
       " ...]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "doc_field = 'reviewText'\n",
    "r_info = store.load_field_cache(doc_field)\n",
    "docs_tf = r_info['tf']\n",
    "word_cnt = {}\n",
    "\n",
    "for doc, terms in docs_tf.items():\n",
    "    for (term,tf) in terms:\n",
    "        if term not in word_cnt:\n",
    "            word_cnt[term] = 0\n",
    "        word_cnt[term] += tf\n",
    "\n",
    "z_law_data = list(sorted(word_cnt.items(),key=itemgetter(1), reverse=True))\n",
    "zlaw_x= []\n",
    "zlaw_y = []\n",
    "for index,pair in enumerate(z_law_data):\n",
    "    zlaw_x.append(index)\n",
    "    zlaw_y.append(pair[1])\n",
    "z_law_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZR2Nmlr1SLkk1AG9ExKsR8SrwBtDv/vaurYXf/AbWMJb2GMDs2cl057W1WUdmZpatUhLGbOD3ea/fScv6leZmGDkSBtAGQF0dTJsGq1dnHJiZWcZKSRiK2HNjQkS00w9nu21ogIEDoZ0BDKnZSWsrDBvmfgwzs1ISRrOkqyQNSh9XA809/WBJ75Z0t6T/lvSCpNMkjZC0WNLK9Hl43vHXSVol6UVJ5/b0c4sxcSL8j7N/xxP3/5aZM2H9+nJ+mplZ36Ao8m5mSYcC3wY+CgTwAHBNRGzs0QdLc4FHI+J2SQeRTGT4NyT9JDdJmgUMj4gvS5oI3AlMAg4HfgkcFRFtXX1GY2NjNDU19SQ8M7OqJGlJRDQW2ld0CyMiNkbE1Ig4NCJGRcTF+clC0nUlBDQMOBP4fvreOyLiTWAyMDc9bC5wYbo9GZgXEdsjYjWwiiR5lMWiRbD4y7+Ex/vl7O1mZj3Sm2t6X1TCsUcCm4B/k7RU0u2SDgZGRcQ6gPT50PT40cDreee3pGX7kDRDUpOkpk2bNpVcCYCvfQ3+4RsHwZ139uh8M7P+qDcThro/ZLeBwAeB2RFxIsmIq1klvnfBa2kRMSciGiOisb6+voSQOr65Z6s1M8vXmwmjlKldW4CWiHgyfX03SQLZIKkBIH3emHf82LzzxwBr9y/czknpfzxbrZnZbpm0MCJiPfC6pKPTorOBFcBCYHpaNp1khlzS8qmSBksaD0wAnuqVqDuL0S0MM7O99OZ9FD8p8fi/Au5IR0g1A58lSWDzJV0GvEbaLxIRyyXNJ0kqu4AruhshtT+S5TCcMMzM8nU7rFbSv9DF5aaIuKq3g+otPR1W+9JLoNXNTPjDIXD44WWIzMysMnU1rLaYFkbuN+7pwETgrvT1RSSLKfU7Rx0FHHVk1mGYmVWUYtf0RtKlwEciYmf6+jvAorJGl5GFC+F3P32EHzYdy12LRnhaEDMzSuv0PhwYmvf6kLSs3/nmN+H6uUfz2HPv5oZ+t2K5mVnPlNLpfROwVNKD6euzgK/2ekQZq62F1laAUQDMnp08hgyBbdsyDc3MLFNFtTAkDQBeBE4B7k0fp+UuV/Unzc0wapSnNzcz66ioFkZEtEv6ekScxp57I/qlhgaoqclNb76D1taDPL25mRml9WEskvQnkkqZAqRP2rkTDqvZxBMf+4qnNzczS5XSh/F54GCgTVJrWhYRMaz3w8rW0qUQ69oZM/5abn1P1tGYmVWGohNGRAzt/qj+YfRoYLSvQZmZ5StpahBJnyJZxwLgoYi4v/dDyt78+bDzFw8w7fzN8JnPZB2OmVlFKLoPQ9JNwNUk8zmtAK5Oy/qd22+HW+e9B+bNyzoUM7OKUUoL43zghIhoh91LrC6l63Us+i7hyQfNzPKUOr35u/O239WLcVQcT29uZra3UloYfw88Lekhkr+/zwSKXse7L9k9vbkXUDIz262UhPEJ4AfAZpK1Kr6cLoTUf7mFYWa2WykJ49+AM4BPAUcCyyQ9EhHfKktkGbrzToi3x8PIO7MOxcysYpRyH8avJD0MnAx8BJgJHAP0u4QxYgQwompuOzEzK0opw2ofAH4N/E+SiQhPjoj3lyuwLP37v8N3//Qh+P73sw7FzKxilDJK6llgB3AscBxwrKTaskSVsR//GL5zXwNnXXuy55EyM0sVnTAi4q8j4kxgCvA7kj6NN8sUV+bW7Kznsc3HegElM7NU0X0Ykq4EPgycBLxKMmLq0TLFlZk9CyiNALyAkplZTimjpGqBbwBLImJXmeLJXHMznHQSrF/XTjCAujqYMgVuuSXryMzMslXKKKmbyxlIpWhogEGDkju9RTvbtg3wAkpmZpQ+NUhVOPFE+MD7AyQmTvQCSmZmUOL05tVgTx9GkkuXL08etbXuwzCz6pZpC0NSjaSlku5PX4+QtFjSyvR5eN6x10laJelFSeeWK6bmZpg0CQbVtAFQVwfTpsHq1eX6RDOzviHrS1JXAy/kvZ4FPBARE4AH0tdImghMJbmz/DzgNkk15QiooSG5BLWzbQBDaKW1FfdhmJmRYcKQNIZkQsPb84onA3PT7bnAhXnl8yJie0SsBlYBk8oV244d8J7BW3hi5AXMnOk+DDMzyLYP45vAl4D8SZtGRcQ6gIhYJ+nQtHw08ETecS1p2T4kzQBmABxxxBE9Cuzkk6Hl8Tc5fsBz3Hprj97CzKzfyaSFIekCYGNELCn2lAJlBReriIg5EdEYEY319fU9jhEJdvXb203MzEqWVQvjdOBTks4HhgDDJP0HsEFSQ9q6aAA2pse3AGPzzh8DrC1XcAMGkCSMQYPK9RFmZn1OJi2MiLguIsZExDiSzuxfRcSfAQuB6elh04H70u2FwFRJgyWNByYAT5Urvp/+FJ7eMMadF2ZmeSrtPoybgPmSLiNZ1e8igIhYLmk+sALYBVwREW3ZhWlmVn0U/Xjd6sbGxmhqair5vO9+F15f/AJfq/37ZHEMM7MqIWlJRDQW2pf1fRgV6cEH4e6H6uE//gP6cUI1MyuFE0YBAwbA9rYBnMVDrF/jK19mZuCEUVBNDfxuWx2PcYYXUDIzSzlhdFBbm1yJ2rJ9CO3UMPt7A5GScjOzauaE0UFzM0yYALn7AmuHhCcfNDPDCWMfDQ1w9tmQu7l8W6s8+aCZGU4Y+6ithe98Z++y2bN9ScrMzAmjg+ZmOOUUyF2SqqnxJSkzM3DC2MeRR8KTT0LuklRbm7jjDhg/PtOwzMwy54TRQXMzHHww5FoYA2vaGTPGLQwzMyeMDhoa9rQmhrCN9nbxyU+609vMzAmjgG3bYFBN8H+5gFHDt/PKK1lHZGaWPSeMAi65BMaP3cmCYZ9lw+bBjBuXdURmZtnzbLUF1NZCa+u+5UOGJK0PM7P+yrPVlqi5GS6+GOrqktd1dXhorZlVPSeMAhYvhsce3sXWre1AsHUrvtvbzKqeE0YBK1fCa2tqGMpbAAwd6tVazczch1GA1Pm+fvzjMjNzH4aZme0/J4wCLr88t7WnOTFoEDzzTCbhmJlVBCeMAubMyW3tuTa1c2duUkIzs+rkhFHAa68l91zkGzzYw2rNrLoNzDqASnT44fuWbd+ezDPlTm8zq1ZuYRRwyy2d7/NCSmZWrZwwCsjd4Z10eu9pUvhubzOrZpkkDEljJT0o6QVJyyVdnZaPkLRY0sr0eXjeOddJWiXpRUnnljO+gw7a/ankd3x7ISUzq2ZZtTB2AV+IiA8ApwJXSJoIzAIeiIgJwAPpa9J9U4FjgPOA2yTVlCu4PQljX+7DMLNqlUnCiIh1EfF0ur0FeAEYDUwG5qaHzQUuTLcnA/MiYntErAZWAZPKFV8uYRwxdu9LUhMm4LUxzKxqZd6HIWkccCLwJDAqItZBklSAQ9PDRgOv553WkpYVer8ZkpokNW3atKlHMdXXw8knQ1t77nJUkjR27fIEhGZWvTJNGJIOAe4BromIt7s6tEBZwYtDETEnIhojorG+vr5HcX30o/Dcc7BmTe6jk49fvdqjpMysemWWMCQNIkkWd0TEgrR4g6SGdH8DsDEtbwHG5p0+Blhbzvhya2IMSH9CAwZ4lJSZVbesRkkJ+D7wQkR8I2/XQmB6uj0duC+vfKqkwZLGAxOAp8oV39NPw+jR8OMfQ3t7Utbe7lFSZlbdsrrT+3Tgz4HnJC1Ly/4GuAmYL+ky4DXgIoCIWC5pPrCCZITVFRHRVq7gtm/vfDSUR0mZWbXKJGFExGMU7pcAOLuTc24EbixbUHlyo6QaGmDduiAX6oQJ8MgjByICM7PKk/koqUqUSxjr1kF+Xlu5MkkiZmbVyAmjgFzCSJ5z16CCIUO8JoaZVS8njAKGDk1GRe3YAXtaGKK11WtimFn1csIo4PDDoaWl8L7WVt+LYWbVyQmjE131VbS2Hrg4zMwqhRNGARHw/vdnHYWZWWVxwihASkZIfeQjXR9jZlZNnDA6MXRo13d1dzUFuplZf+SE0YmhQ2HLls73JyOozMyqhxNGJ4YNg7e7mj/XzKzKOGF04pxz4NRTYenSzo9xP4aZVZOsJh+seDcWOWuV5AkJzaw6uIXRhYjk8a53dX2cWxpmVg2cMDrxox/BIYfAxo3w5ptZR2Nmlj0njE4cfDBs3Qpr03X9BnTzk3Irw8z6OyeMTrzvfcnzSy8lz21t3V+aWr++vDGZmWXJCaMTRx+dtCqWL99T1t2lKa+VYWb9mRNGJ4YMSVbYW7Zs7/LuLj1JyeMrXylbaGZmmXDC6MLll8P55+9d1t5e3Ll/93cwZowvU5lZ/+GE0YWrroKZM/ctnzKluPPXrEkuU/3qV70bl5lZFpwwuvHWW/Czn+1dtmBBx6QR7FnKdV9nn51cpho8GJ59thxRmpmVnxNGN268ET71qX37MhYsyL/DW+xZyrXzxLFjBxx//J5+Dgk+97nej9nMrBycMLoxaxaMHAkXXVS4P2LfaUFKuyFjzpy9E0ihx+c/3+Pwzcx6jRNGN0aMgHvvTfojGhvh/vv3TRK5KUT2HVbbO5NM/fM/d59UOnvcckuvhGBm5oRRjNNOg1//Orn7+/rr9ySM5ua9R02tXdsxmeS3NrKZofDaa3uebPrSY8AADy4wK7c+NVutpPOAbwE1wO0RcdOB+uwTT4Tnn09aGgMGwDvvwFFHJetmHHdcsj1hAnzsY0nS2Pd+jY4F0Ul5uRzozzuwIpLBBWaWuPlm+OIXe/c9+0wLQ1INcCvwcWAi8KeSJh7IGAYNgnHjcvHA7bfDZz4DO3cml62+9CV48MFk/4svdvdu+R3lhXQ98qp03X1efxKdPLrad6D2mx0Y117b++/Zl1oYk4BVEdEMIGkeMBlYkUUwdXVw6aXJI2fzZqipSbaHD0/6HjZvTpZ63bIlWcFv5kz4yEeKmaxwf3659+/WRPe6qnd3P5Ny7zc7cHK/Z3przZ6+lDBGA6/nvW4BTul4kKQZwAyAI4444sBElho+fM92fT1cc03nx3b3BU6ZAj/9aU8jOdCXuTp+bmeVK+d+/6I2K+Tmm3vvvfrMJSkK/0bY5zdHRMyJiMaIaKyvrz8AYZXHvffuGX1V6uPATYKoDo/Oyg/EfjMrpDf7MfpSC6MFGJv3egywNqNYKtraKvqpeB0SswOnLyWM/wImSBoPrAGmAhdnG5Jlzeupmx04fSZhRMQuSVcC/0kyrPYHEbG8m9PMzKyX9JmEARARPwN+1u2BZmbW6/pSp7eZmWXICcPMzIrihGFmZkVxwjAzs6Io+vG4REmbgFd7ePpI4Le9GE6lqpZ6QvXUtVrqCdVT1wNZz/dGRMG7nvt1wtgfkpoiojHrOMqtWuoJ1VPXaqknVE9dK6WeviRlZmZFccIwM7OiOGF0bk7WARwg1VJPqJ66Vks9oXrqWhH1dB+GmZkVxS0MMzMrihOGmZkVxQmjA0nnSXpR0ipJs7KOpzdIekXSc5KWSWpKy0ZIWixpZfo8PO/469L6vyjp3Owi75qkH0jaKOn5vLKS6yXppPTns0rSt6XKW2Wjk7p+VdKa9HtdJun8vH19sq6Sxkp6UNILkpZLujot71ffaxf1rOzvNCL8SB8k06a/DBwJHAQ8A0zMOq5eqNcrwMgOZf8EzEq3ZwH/mG5PTOs9GBif/jxqsq5DJ/U6E/gg8Pz+1At4CjiNZOm+nwMfz7puRdb1q8AXCxzbZ+sKNAAfTLeHAi+l9elX32sX9azo79QtjL1NAlZFRHNE7ADmAZMzjqlcJgNz0+25wIV55fMiYntErAZWkfxcKk5EPAK80aG4pHpJagCGRcTjkfzr+1HeORWjk7p2ps/WNSLWRcTT6fYW4AVgNP3se+2inp2piHo6YextNPB63usWuv4S+4oAFklaImlGWjYqItZB8j8vcGha3td/BqXWa3S63bG8r7hS0rPpJavcZZp+UVdJ44ATgSfpx99rh3pCBX+nThh7K3Ttrz+MOz49Ij4IfBy4QtKZXRzbX38GndWrL9d3NvAHwAnAOuDraXmfr6ukQ4B7gGsi4u2uDi1Q1mfqWqCeFf2dOmHsrQUYm/d6DLA2o1h6TUSsTZ83AveSXGLakDZnSZ83pof39Z9BqfVqSbc7lle8iNgQEW0R0Q58jz2XDvt0XSUNIvklekdELEiL+933Wqielf6dOmHs7b+ACZLGSzoImAoszDim/SLpYElDc9vAHwPPk9RrenrYdOC+dHshMFXSYEnjgQkknWp9RUn1Si9vbJF0ajq65JK8cypa7hdoagrJ9wp9uK5pXN8HXoiIb+Tt6lffa2f1rPjvNOvRApX2AM4nGbHwMnB91vH0Qn2OJBld8QywPFcn4D3AA8DK9HlE3jnXp/V/kQoaWVKgbneSNNt3kvyldVlP6gU0kvzDfBn4V9IZECrp0Uld/x14DniW5BdKQ1+vK3AGySWVZ4Fl6eP8/va9dlHPiv5OPTWImZkVxZekzMysKE4YZmZWFCcMMzMrihOGmZkVxQnDzMyK4oRhloF0VtIvZh2HWSmcMMzKTIn9+rcmaWBvxWPWU04YZr1A0uclPZ8+rpE0Ll3r4DbgaWCspOvTtQx+CRydd+4fSPpFOjnko5Len5b/UNI3JD0I/GM2NTPbw3+1mO0nSScBnwVOIZkM7kngYZKk8NmIuDw9ZirJrKQDSZLIkvQt5gAzI2KlpFOA24CPpvuOAs6JiLYDVR+zzjhhmO2/M4B7I+IdAEkLgA8Dr0bEE+kxH06P2ZoeszB9PgT4EPCTvIXSBue990+cLKxSOGGY7b/OlsR8p8PrQvPwDADejIgTinwPs8y4D8Ns/z0CXCipLp0ReArwaIFjpkiqTWcP/iRAJGsgrJZ0EezuID/+AMZuVjQnDLP9FMlSmz8kmQb+SeB2YHOBY+4imZX0HvZOKNOAyyTlZhTur8sCWx/n2WrNzKwobmGYmVlRnDDMzKwoThhmZlYUJwwzMyuKE4aZmRXFCcPMzIrihGFmZkX5/0BCgqciT3L2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "y_ = [zlaw_y[0]/(i+1 ) for i in range(zlaw_x[-1]+1)]\n",
    "l11 = plt.plot(zlaw_x, zlaw_y, 'r--', label='type1')\n",
    "l12 = plt.plot(zlaw_x, y_, 'b--', label='type3')\n",
    "plt.plot(zlaw_x, zlaw_y, 'b*', label='type2')\n",
    "plt.title(\"Zipf's law\")\n",
    "plt.xlabel('order')\n",
    "plt.ylabel('word_cnt')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "zlaw_x_limit = zlaw_x[:100]\n",
    "zlaw_y_limit = zlaw_y[:100]\n",
    "import math\n",
    "x_ = np.arange(100)\n",
    "y_ = [zlaw_y[0]/(i+1) for i in range(100)]\n",
    "\n",
    "l21 = plt.plot(zlaw_x_limit, zlaw_y_limit, 'r--', label='type1')\n",
    "plt.plot(zlaw_x_limit, zlaw_y_limit, 'b*', label='type2')\n",
    "l22 = plt.plot(x_, y_, 'g-', label='type3')\n",
    "plt.plot(x_, y_, 'g-')\n",
    "plt.title(\"Zipf's law\")\n",
    "plt.xlabel('order')\n",
    "plt.ylabel('word_cnt')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heap's Law"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "doc_fields = ['title', 'feature', 'description', 'summary', 'reviewText']\n",
    "h_law_data = {}\n",
    "\n",
    "for field in doc_fields:\n",
    "    total_cnt = 0\n",
    "    unique_cnt = 0\n",
    "    vocabulary = set()\n",
    "    info = store.load_field_cache(field)\n",
    "    docs_tf = info['tf']\n",
    "    for doc,terms in docs_tf.items():\n",
    "        for (term, tf) in terms:\n",
    "            total_cnt += tf\n",
    "            if term not in vocabulary:\n",
    "                vocabulary.add(term)\n",
    "                unique_cnt+=1\n",
    "    h_law_data[field] = {'total_cnt': total_cnt, 'unique_cnt': unique_cnt}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'title': {'total_cnt': 9695, 'unique_cnt': 1373},\n",
       " 'feature': {'total_cnt': 30734, 'unique_cnt': 2791},\n",
       " 'description': {'total_cnt': 58244, 'unique_cnt': 4291},\n",
       " 'summary': {'total_cnt': 5497, 'unique_cnt': 858},\n",
       " 'reviewText': {'total_cnt': 31550, 'unique_cnt': 2603}}"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h_law_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h_law_x = list(map(lambda x:math.log(x,10), [5497,9695,30734,31550,58244]))\n",
    "h_law_y = list(map(lambda x:math.log(x,10), [858,1373,2791,2603,4291]))\n",
    "\n",
    "\n",
    "l3 = plt.plot(h_law_x, h_law_y, 'r--', label='type1')\n",
    "plt.plot(h_law_x, h_law_y, 'b*', label='type2')\n",
    "plt.title(\"Heap's law\")\n",
    "plt.xlabel('total words')\n",
    "plt.ylabel('unique words')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.9.7 ('base')",
   "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": "3.9.7"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "ad2bdc8ecc057115af97d19610ffacc2b4e99fae6737bb82f5d7fb13d2f2c186"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}