Familiarizing with NLTK- Basics of Statistics and Loops for Text Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a9f732e1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "*** Introductory Examples for the NLTK Book ***\n",
      "Loading text1, ..., text9 and sent1, ..., sent9\n",
      "Type the name of the text or sentence to view it.\n",
      "Type: 'texts()' or 'sents()' to list the materials.\n",
      "text1: Moby Dick by Herman Melville 1851\n",
      "text2: Sense and Sensibility by Jane Austen 1811\n",
      "text3: The Book of Genesis\n",
      "text4: Inaugural Address Corpus\n",
      "text5: Chat Corpus\n",
      "text6: Monty Python and the Holy Grail\n",
      "text7: Wall Street Journal\n",
      "text8: Personals Corpus\n",
      "text9: The Man Who Was Thursday by G . K . Chesterton 1908\n"
     ]
    }
   ],
   "source": [
    "from nltk.book import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0a45d4cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "frequencies = FreqDist(text4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "58e405ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FreqDist({'the': 9555, ',': 7275, 'of': 7169, 'and': 5226, '.': 5011, 'to': 4477, 'in': 2604, 'a': 2229, 'our': 2062, 'that': 1769, ...})"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "df0a777a",
   "metadata": {},
   "outputs": [],
   "source": [
    "keys = frequencies.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "995f37e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10025"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(list(keys))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "7739b800",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "327"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequencies['world']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7ab4b661",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Samples', ylabel='Counts'>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequencies.plot(10, cumulative=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "42493262",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Samples', ylabel='Cumulative Counts'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequencies.plot(10, cumulative=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "37d05d94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['notification',\n",
       " '14th',\n",
       " 'fondest',\n",
       " 'predilection',\n",
       " 'flattering',\n",
       " 'asylum',\n",
       " 'interruptions',\n",
       " 'awaken',\n",
       " 'distrustful',\n",
       " 'despondence',\n",
       " 'inheriting',\n",
       " 'endowments',\n",
       " 'unpracticed',\n",
       " 'aver',\n",
       " 'thence',\n",
       " 'consulted',\n",
       " 'disinclination',\n",
       " 'untried',\n",
       " 'cares',\n",
       " 'palliated',\n",
       " 'mislead',\n",
       " 'repaired',\n",
       " 'improper',\n",
       " 'omit',\n",
       " 'tendering',\n",
       " 'homage',\n",
       " 'adore',\n",
       " 'Invisible',\n",
       " 'conducts',\n",
       " 'token',\n",
       " 'pious',\n",
       " 'reflections',\n",
       " 'auspiciously',\n",
       " 'acquit',\n",
       " 'designates',\n",
       " 'congenial',\n",
       " 'actuate',\n",
       " 'rectitude',\n",
       " 'adorn',\n",
       " 'behold',\n",
       " 'misdirect',\n",
       " 'preeminence',\n",
       " 'indissoluble',\n",
       " 'disregards',\n",
       " 'fifth',\n",
       " 'juncture',\n",
       " 'inquietude',\n",
       " 'discernment',\n",
       " 'characteristic',\n",
       " 'impregnably',\n",
       " 'renounce',\n",
       " 'inapplicable',\n",
       " 'emoluments',\n",
       " 'indispensably',\n",
       " 'Parent',\n",
       " 'Race',\n",
       " 'supplication',\n",
       " 'deliberating',\n",
       " 'arrive',\n",
       " 'Previous',\n",
       " 'upbraidings',\n",
       " 'perceived',\n",
       " 'legislature',\n",
       " 'apprehensive',\n",
       " 'fleets',\n",
       " 'consisting',\n",
       " 'broke',\n",
       " 'pieces',\n",
       " 'rod',\n",
       " 'models',\n",
       " 'Batavian',\n",
       " 'particulars',\n",
       " 'courier',\n",
       " 'foreseen',\n",
       " 'Negligence',\n",
       " 'melancholy',\n",
       " 'languor',\n",
       " 'rivalries',\n",
       " 'conventions',\n",
       " 'Measures',\n",
       " 'disquisitions',\n",
       " 'issued',\n",
       " 'Employed',\n",
       " 'Irritated',\n",
       " 'literary',\n",
       " 'altercation',\n",
       " 'heated',\n",
       " 'animosity',\n",
       " 'Claiming',\n",
       " 'rejection',\n",
       " 'ordain',\n",
       " 'Returning',\n",
       " 'repeatedly',\n",
       " 'solidity',\n",
       " 'congregations',\n",
       " 'intelligences',\n",
       " 'Chamber',\n",
       " 'decoration',\n",
       " 'robes',\n",
       " 'diamonds',\n",
       " 'descends',\n",
       " 'accidents',\n",
       " 'antiquity',\n",
       " 'dissemination',\n",
       " 'justifiable',\n",
       " 'excusable',\n",
       " 'grandeur',\n",
       " 'innocence',\n",
       " 'infect',\n",
       " 'procured',\n",
       " 'artifice',\n",
       " 'solitary',\n",
       " 'flattery',\n",
       " 'menaces',\n",
       " 'venality',\n",
       " 'merited',\n",
       " 'praises',\n",
       " 'delicious',\n",
       " 'recollection',\n",
       " 'rampart',\n",
       " 'northern',\n",
       " 'unessential',\n",
       " 'denominations',\n",
       " 'academies',\n",
       " 'propagating',\n",
       " 'sophistry',\n",
       " 'pestilence',\n",
       " 'meliorate',\n",
       " 'inclining',\n",
       " 'applauded',\n",
       " 'residence',\n",
       " 'investigate',\n",
       " 'colorable',\n",
       " 'complaint',\n",
       " 'reparation',\n",
       " 'hazarded',\n",
       " 'engraven',\n",
       " 'comply',\n",
       " 'strenuous',\n",
       " 'Patron',\n",
       " 'Fountain',\n",
       " 'Protector',\n",
       " 'Friends',\n",
       " 'presentiments',\n",
       " 'traversing',\n",
       " 'Utterly',\n",
       " 'gentlemen',\n",
       " 'steer',\n",
       " 'vessel',\n",
       " 'embarked',\n",
       " 'dreary',\n",
       " 'bled',\n",
       " 'despotic',\n",
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       " 'precluded',\n",
       " 'requiring',\n",
       " 'resemble',\n",
       " 'fleet',\n",
       " 'Greece',\n",
       " 'subsequently',\n",
       " 'mainly',\n",
       " 'attributed',\n",
       " 'owing',\n",
       " 'Cantons',\n",
       " 'discrepancy',\n",
       " 'permanency',\n",
       " 'Content',\n",
       " 'clothes',\n",
       " 'harbingers',\n",
       " 'copartnership',\n",
       " 'allied',\n",
       " 'intangible',\n",
       " 'alienation',\n",
       " 'imprudent',\n",
       " 'disparage',\n",
       " 'proverbial',\n",
       " 'Unpleasant',\n",
       " 'jurisdictions',\n",
       " 'ruling',\n",
       " 'enthusiast',\n",
       " 'Utopian',\n",
       " 'scheming',\n",
       " 'politician',\n",
       " 'demagogue',\n",
       " 'balm',\n",
       " 'historians',\n",
       " 'attributing',\n",
       " 'writings',\n",
       " 'warped',\n",
       " 'unwillingness',\n",
       " 'whence',\n",
       " 'trick',\n",
       " 'warning',\n",
       " 'Cromwell',\n",
       " 'Bolivar',\n",
       " 'Christs',\n",
       " 'Savior',\n",
       " 'disciples',\n",
       " 'distinguishing',\n",
       " 'detect',\n",
       " 'counterfeit',\n",
       " 'employs',\n",
       " 'vindictive',\n",
       " 'excision',\n",
       " 'excrescence',\n",
       " 'fastened',\n",
       " 'restores',\n",
       " 'fails',\n",
       " 'subsists',\n",
       " 'pretension',\n",
       " ...]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequencies.hapaxes()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "e772a75c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4255"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(frequencies.hapaxes())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ccbe6464",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "United States; fellow citizens; years ago; four years; Federal\n",
      "Government; General Government; American people; Vice President; God\n",
      "bless; Chief Justice; one another; fellow Americans; Old World;\n",
      "Almighty God; Fellow citizens; Chief Magistrate; every citizen; Indian\n",
      "tribes; public debt; foreign nations\n"
     ]
    }
   ],
   "source": [
    "text4.collocations()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b87b6fd7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['antiphilosophists',\n",
       " 'misrepresentation',\n",
       " 'instrumentalities',\n",
       " 'contradistinction']"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T = set(text4)\n",
    "words = [n for n in T if len(n) > 16]\n",
    "words"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c3b6805b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['instrumentalities']"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[n for n in set(text4) if len(n) > 16 and frequencies[n] >= 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a6bab91b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['instrumentalities']"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sorted([w for w in set(text4) if len(w) > 16 and frequencies[w] >= 5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "2fd44965",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<generator object bigrams at 0x000002C7320FBAE0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bigrams(['quick','data','science','class','good'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "8c1896f0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "United States; fellow citizens; years ago; four years; Federal\n",
      "Government; General Government; American people; Vice President; God\n",
      "bless; Chief Justice; one another; fellow Americans; Old World;\n",
      "Almighty God; Fellow citizens; Chief Magistrate; every citizen; Indian\n",
      "tribes; public debt; foreign nations\n"
     ]
    }
   ],
   "source": [
    "text4.collocations()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "f1e72e0f",
   "metadata": {},
   "outputs": [],
   "source": [
    "reps= FreqDist([len(w) for w in text4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "3a2e249f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_items([(6, 11069), (1, 17410), (8, 7474), (2, 28300), (3, 29826), (5, 13565), (15, 79), (12, 1436), (4, 19238), (7, 10322), (9, 5798), (11, 2482), (10, 4812), (13, 626), (14, 403), (17, 10), (16, 51)])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reps.items()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "ce5ecd80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reps.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "c38ea4fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.07239324791858784"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reps.freq(6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "7e148890",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "152901"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reps.N()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "602e3b42",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "152901"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequencies.N()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "92af9c1d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    3     2     4     1     5     6     7     8     9    10    11    12    13    14    15    16    17 \n",
      "29826 28300 19238 17410 13565 11069 10322  7474  5798  4812  2482  1436   626   403    79    51    10 \n"
     ]
    }
   ],
   "source": [
    "reps.tabulate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "67419c6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Stock-index',\n",
       " 'index-arbitrage',\n",
       " 'index-fund',\n",
       " 'index-options',\n",
       " 'index-related',\n",
       " 'stock-index']"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sorted([w for w in set(text7) if '-' in w and 'index' in w])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "0e5655cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FreqDist({'the': 9555, ',': 7275, 'of': 7169, 'and': 5226, '.': 5011, 'to': 4477, 'in': 2604, 'a': 2229, 'our': 2062, 'that': 1769, ...})"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "freq = FreqDist(text4)\n",
    "freq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "8d9b13e7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              the                 ,                of               and                 .                to                in                 a               our              that                be                is                we               for                by                it              have             which               not              will                as              with                 I               are               all              this             their               The               has            people                 ;               its                or                We              from                on               but                us              been               can                my                no                an               who              must                so                It              upon                --              they        Government            States              them                at             world             great               may            should              more             those           country             shall                 -             every                 '               was               any             other        government               one             peace               own              than            nation                do                 s          citizens               new           America              only             power             these                In            public              time             would               now               you      Constitution                me              such                if           nations              free               And           freedom              when             there             under               his              most            United          American               war               But                 :               Our              made              what                 \"              good              make               men             years              were              life             Union            spirit          national               law              well            fellow            rights             never           without               had              into              laws          Congress            before              work                To              just             right              best              duty                 ?              hope              This              each           justice              your         interests           liberty           against              know           through               God           because              much         political              They                If              both             among           foreign           history               man              long            powers              many               out             first            future            policy               day        principles              part         President           between              some             whole              same            duties              ever           support          progress             human             faith            common             today            within               too            system               far               For        confidence              over           purpose            Nation               way           service             There           present               let         Americans         necessary              less             still              come                he          together            better         ourselves          strength            always             force             party           believe              need              high      institutions          interest               Let             equal            itself            office              here                .\"            others               nor            things              land             could        themselves             means              then              home             place             again             might            secure        prosperity              give                up              find           another             where            action               old             whose             given                am              full            change              like                 A              even               yet    responsibility         democracy             order         important              take          security            proper             found             stand           Federal               see             being    administration           subject           respect             honor             cause         Executive              self              seek            called             These             State           revenue              true             trust             ought         character          question          children          commerce              very         principle           century          business              oath            toward              done         influence            course            become            cannot              meet           citizen        protection              also              love              past         authority              live              help             while            strong          Republic           greater             civil              With               use               act    constitutional             sense               did        individual           promise         happiness                No           economy             union              That             times           however           general         resources            beyond             trade        countrymen          continue             since          domestic           defense             lives           opinion             state           whether           control              does              hand          purposes                go            effort         condition             alone       opportunity           success       governments        experience         relations          maintain          preserve               ask               end                My          economic             hands            regard               say              look            wisdom              fear             labor              last               her              once             about               two             heart           nothing              care              When              form           parties             moral            moment             taken        importance               ago            either            desire               him             bring                As           affairs     circumstances          exercise         therefore           welfare        generation              task              mind          measures             local           thought         knowledge           mankind             until           protect             earth          greatest               aid         blessings              call            danger              body              fair              whom       legislation            having            period          increase              face            making          millions           forward              race         essential          possible             favor           example            safety             hopes             share               His          occasion           highest            passed           efforts            reason              hold      civilization             words           peoples            little             large          judgment           require             after        throughout            effect           courage            limits         countries         questions          faithful               All      independence           society           friends           certain            object            wealth              view            pledge             unity        sufficient         executive           further              rule         necessity                So             carry             money            nature           objects           destiny            solemn           promote       obligations         existence         different          military        population               few        instrument            myself            united         attention        patriotism             truth           produce            result              year             speak              fail         community        conditions              back           members          problems             women       independent               how            degree         permanent                He            single          industry            expect              lead           already         education             sound              four             clear              From            placed              wise              wish           conduct              fact       generations          powerful              arms         discharge             While           dignity             small               set                Mr            tariff     international        industrial       established            sacred          personal            abroad              seen           portion            social              want           advance          property            extent           dangers          extended             South                              none                By     consideration               due            remain             light          presence             happy            hearts              feel             often             reach         religious            enough    Administration             ready         territory              turn           ability            defend              away              days       citizenship            ideals          Almighty             Chief              What          election        determined          constant          position          opinions             think          peaceful              left                At              keep           several           fathers          devotion            growth        enterprise               put            rather         beginning  responsibilities         honorable             views              thus           equally          endeavor           provide              mere          humanity         preserved              down            longer           feeling        expression              vast           measure              came           demands         sacrifice         practical              cost             serve              Such           private            honest      preservation           harmony           perfect           secured            demand       legislative             needs          complete       differences       sovereignty              case         patriotic           prevent              evil        obligation           popular               Now          material            merely            across     distinguished            return             parts            number          whatever             doubt              bear       intercourse              safe        conscience            mutual               pay            family          equality              debt          capacity             known            forces       cooperation           slavery           created            accept          remember        Washington             build            Fellow                On             voice       communities          required            during      expenditures             leave             forms         integrity        difference       individuals            credit         something            formed     determination       destruction           Justice       improvement        understand           General             wrong             terms            afford           settled             Under             basis            treaty              acts              rest           neither           methods             story          conflict              join         effective         protected       enlightened           science           seeking              said             vital          officers           matters             point           resolve            almost              real           granted                ,\"          currency                 t            chosen               You            deeply        experiment          benefits          struggle          requires             early              soon           ancient          majority        increasing           himself        friendship          provided            though              firm        prosperous              deep     understanding            events        strengthen            around              path           clearly            reform            belief           failure              show             bless           special           poverty             young            values            health             rules        revolution            crisis              side           perhaps               add           express             value             lands            choice              open         encourage               age              rich      difficulties     encouragement           concern        especially              wars               War         direction            follow              able             fully           attempt            manner             class          practice          adequate          taxation             Those         difficult            living           destroy            needed              lies         challenge             Earth             Today              hard        leadership            vision               era           journey             Great              seem            virtue         provision            indeed         neighbors        conviction            chance          friendly          internal          consider            energy           supreme             enter            person             taxes              soil          reserved           results         continued          generous               May       development            causes             Their           capital       responsible         continent             forth          sections             lines             waste         committed            former           execute         functions             birth           limited            depend             least          adoption         operation        legitimate             pride            govern             enjoy           schools            Europe         sentiment           restore         immediate             doing            extend             short           counsel            source           benefit        everywhere            wisely       departments            burden              sure          National              Some           brought             claim           burdens            except          subjects          products           greatly            simple               Yet               One           achieve        settlement              Vice             dream         centuries                 (          official      satisfaction         advantage      intelligence         establish          suffrage           enemies        prescribed           various           earnest         sometimes        reasonable             blood           distant           instead         amendment           remains        maintained           passion          peculiar       maintenance          precious            direct           liberal            assume              pass            branch             price           perform            recent            permit           enforce            nearly               tax             World         standards           realize            dreams           changes              weak              born       enforcement            strive            higher        challenges                 ¡        sentiments             bound         gratitude        department          expected        republican        considered          concerns              felt              idea            appear          violence          religion             above             issue              lost          declared            places             false             offer          existing             proud             armed       predecessor      strengthened           carried            proved        respective     establishment             exist              held             makes      organization          Treasury        productive            modern        commercial           section               off            prayer           forever            create           meaning             renew           balance          policies          families             event                 )      consequences           station             Every             seems      accomplished            exists            entire       advancement        Providence              half             ocean      manufactures         dangerous           pursued            genius         situation           elected           serious              ours       agriculture           founded           engaged       authorities          guidance             unite            answer         decisions             trial           obvious         increased             minds             drawn           cherish      jurisdiction             sides             naval              term             shown        production             North           willing       practicable       maintaining        advantages         sustained      construction              save            strict         privilege        constantly       performance           lasting            reduce            surely        faithfully              ways             rests              move             bonds            voices             built          grateful           command           rewards            justly             avoid       continuance              name           natural            pursue             fixed             close        everything           devoted           offices            useful            larger       foundations        discussion        heretofore               led          profound               How            second         suffering         connected            twenty            became             coast         supported               000             alike            suffer           belongs            relief           receive          wherever           leading           leaders              eyes        privileges           learned     controversies              used             homes          stronger              hour               met          building          decision         liberties             along        particular          separate              fire          instance   representatives               Nor          branches             cases           adopted           pledged         greatness           contest        successful             thing       limitations             press          entitled            ground            taking          believed          scarcely            likely              fate           persons              mean           written            friend          intended            sought         generally             plans              next            member            battle          followed        Revolution              Here              late            remedy          invasion           depends      predecessors        impossible            unless          realized               New       aspirations         sectional             learn          promises       forbearance       Confederacy              flag        cheerfully              gave          republic            failed           abiding        democratic              mine            matter          European             based       fundamental          partisan        industries         celebrate           program             thank            helped              role           weapons              jobs        difficulty          advanced            humble         recommend        consistent          feelings           talents             adopt        prejudices          promoted            actual      tranquillity         certainly             arise          prepared         universal              loss       contributed       Legislature             added            abuses         expressed        preserving       disposition           sincere              ages           declare           possess             globe            endure            appeal          reliance              road             legal            amount              paid           surplus         injustice            narrow            weight           enjoyed      interference        provisions           observe          sympathy           imposed         thousands             fight             crime            injury              Navy           markets         stability          observed        depression           knowing           session          language       expenditure           looking             heard            mighty         prejudice          directly          relation        dedication             field           changed        aggression        understood             grant        employment       Territories            coming              bold                Is               why           assured           Nations             began              army           growing             comes             child           succeed             ideal            threat          enduring          politics              soul             tasks           tyranny              dark             begin            Senate          received             proof            enable          employed            assure           consent     opportunities         execution              zeal         formation      combinations           adapted            native         according         exercised             glory             ideas         elections               lot          services            wishes            points           exalted     consciousness           beloved          contrary         competent              gone             steps             creed               try         cultivate           favored         cherished              word           process          directed             guide          enforced              mass         civilized       fulfillment           renewed           officer           victory       intelligent        recognized           sources           sustain           blessed              bind              kind       application          strictly          respects               sea            attack           numbers              city             slave         efficient          founders           divided         recognize          supposed             ample             evils            worthy           opposed          revenues         assurance           careful         financial              Each       restoration             truly          solution           problem           triumph           reached           welcome              play                ¡¦              hear             error         obedience             Being          councils              step         assembled        foundation           finally          ordinary           pursuit            whilst          blessing          enlarged        Magistrate          ceremony            armies              ties              plan           effects            cities             noble          anything           anxiety          admitted       institution          energies         destinies            decent          weakness          elements           reflect            divide              kept         alliances             vigor           militia            heroes            errors       inseparable           thereby              arts      acknowledged            shores            habits         ignorance           keeping          servants           correct             gives           proceed       enterprises         surrender            behalf          standing                Of                 !           calling     extraordinary        beneficent        efficiency          afforded        inevitable           climate            market            raised        accomplish             break              Many         emergency       necessities        additional           prayers               Its        opposition         permitted          accepted           bearing             cease               Old             Since            theory       constituted         divisions            strife           existed          guaranty         diversity          tendency       appointment        concession            humbly         statesmen             broad          judicial         interfere         Jefferson            master            reject          entirely              poor               bad            allies             seeks              lift            profit             Texas         expansion            stands         forgotten              deny              anew            courts          agencies       achievement           turning        commitment          tomorrow              goal          recovery             Thank              dare         instances           motives             judge            surest            Heaven            latter            safely           arduous          produced              pray        punishment            claims            resist         temporary          examples              ones           partial               saw              read          proposed         posterity           deserve               Can       information          virtuous              vote              ends              mode           classes               lay            utmost              seas            forget       contemplate         sovereign           violate         agitation    representative         faculties             shape         despotism           relieve             leads         favorable        administer             acted        calculated           witness               ill       unnecessary             begun             final             works         extension        discipline       inhabitants          physical          honestly          goodness     participation        sacrifices             enemy        threatened           British             rapid            marked          original              test             wants      agricultural             asked         affecting            choose              easy          involved         organized          sanction           comfort              near           happily         intrusted     indispensable          division        respecting       distinction           suggest         violation            perils          governed              five          covenant            sphere         possessed        adjustment        compromise          occurred       necessarily            submit             borne             raise           hostile        protecting          ultimate              bill               run           largely              gold               she           propose           selfish            invoke          tribunal             three         structure              stop       proposition       confidently           mission             stood           working            behind            shared          Southern              Then              else           hundred              toil            method       arbitration             negro         employees        activities              rise          heritage        interstate         tolerance           borders          historic           Senator           nuclear               don               yes             House           retreat         conscious           fervent            forced         expedient          entering          selected          prospect            ardent            guided           derived           lessons          properly             brief           honored        resolution            middle         determine        concerning              fall            length      constitution       entertained         promoting            candid           actions             daily           improve         otherwise             avail            spread              wide       productions            shrink           charged          minority          suffered           abandon          standard               sum             sword          absolute         republics           expense             debts          assigned          bestowed           current           fulfill             apply          effected            rivers             aided      apprehension             limit             teach        discretion             tried         witnessed           verdict            served             prove          definite            gather            fallen          attained       anticipated            reward           address           reality           element             title          carrying             chief             brave           Through      administered           discord         enjoyment    considerations         disregard          thousand    fortifications            easily            agents          promptly        facilities          fidelity           imposes           appears          suitable          steadily           dispute           Pacific              urge             amity         perpetual          sacredly            labors           disease    accountability        management      inauguration        limitation            lesson           becomes          watching          soldiers         reference          patriots         adherence            onward            motive      Presidential        accordance          hitherto         concerned       surrendered          thoughts          speaking         expressly        amendments              told             spoke      Independence            denied          ambition            taught            record          speedily             plain             grown          treaties         diplomacy          everyone        remembered             moved         Territory        imperative         railroads            truths              navy             grave            wholly            seemed       encouraging              Your          securing              gift         promotion             races           Freedom            ballot       recognition      extravagance           islands           deficit             solve       realization             count           reforms             going         factories           renewal             group             ahead             third             night              heal            define           Speaker          Together          incident              dear            supply            charge            agency              laid              pure           inspire           eternal         submitted             urged   recommendations         reverence            benign            divine         entertain            insure            debate   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     abstaining      unauthorized          overstep            wields        enumerated             casts              sect             shade       usurpations          dispense           caprice        oppressing        Minorities           arrests   reconsideration        infraction          flocking           Beneath              sway             Freed              Mind            tasked          devoting            Genius         conceives             sects          atrocity           imitate               Has           despots             surer              Does             abode          swarming           shudder       religiously           ruinous        disastrous         misguided          indulged        agitations         attaining           pervert        Melancholy           amounts           coffers              1812         judicious             Happy      incautiously          perceive              levy            forbid      discriminate    agriculturists     impoverishing           toiling            coarse          cheerful           dispose             merge        exceptions           chances            genial           Orleans      southwestern            tracts          cemented          sparsely         bordering      unrestricted      obstructions           annexed           forming             valid      reannexation            Oregon    unquestionable            eighty       Alleghanies           hearers     adventurously          ascended          Missouri       headsprings           beholds      conventional      stipulations           jeopard        studiously          skillful          artisans      remunerating          culpable        defaulting           shrinks       Confidently      supplicating           Elected        weightiest          loftiest        surrounded        diligently             defer       ambassadors            Chosen         doctrines       admonitions           exhaust         appealing           onerous     prerequisites          bestowal         harmonize             loves           assuage      promulgation        lightening        complexity           Whether       progression          Carolina      presumptuous         springing           paradox     intrinsically    Inconsiderable     comprehension         pervading            wasted          delusive      speculations     circumscribed         fearfully       illuminated        hitherward              wane           cheered          radiance             tones         pronounce         animating      Preeminently           reposes     uncomplaining        prosecuted         evidences        intellects       accumulated         unfounded         threefold           densely         populated             skirt        suggestive         disguised          grasping            beckon          Purposes     significantly              blot          dishonor           replete         comprised        unexplored           pertain            ensign         unabashed           princes        tyrannical           panoply         gallantry       unobtrusive             waved             folds             float     appropriately          trustful       expectation            doomed           Offices         occupancy       importunate            ratify       resentments        selections         admitting            Higher        prevention        peculation           confine      perpetuation         showering          recurred      misconstrued           dearest          entwined         dignifies            adorns           radiant         illumines            luster            dimmed          overtake         traversed      sectionalism  uncharitableness         heartfelt          feverish            morbid         interpose        resistance              1850          abstract         fanatical        durability              rash              Wise           reunite         fragments             green            slopes        Monticello              tomb       exhortation            smiled         Convinced           richest              ably         faithfull         legislate         therefrom         residents        inhabitant            fairer       Territorial           extinct          diverted      intermission          prolific         alienated         estranged         Political       exasperated            graver              omen          Reasoned        descending      calculations              bare        Annihilate          terrific           portray        peacefully              Next             taint           decayed           usurped          treasury       extravagant          produces       speculators           jobbers         ingenuity        contriving        expedients        wrongfully         suspected           suffers            afloat          seacoast            defray        benefiting             sinks         remainder          cardinal             hardy            exiles         construed                 i           unhappy           adduced            strain          plainest       implication        California       transported           invader         instantly           Central          isolated           forbear            vanish           nearest    satisfactorily             blend            Acting          Hitherto           discuss      Apprehension         addresses         nominated          recanted          Resolved          denounce        delivering          escaping        reclaiming          lawgiver            unkept     unsubstantial        immunities                \"?          construe     hypercritical           specify        unrepealed           seventy           fifteen        formidably        Perpetuity          Continue            unmade           rescind        Descending       Association              1774          plighted              1778         ordaining          resolves        ordinances   insurrectionary             Doing          locality        irritating     impracticable            withal             mails          repelled          audacity      affirmations         negations      specifically         foresight          document              Must           refuses           Plainly           rejects         Unanimity         obviously         erroneous         overruled        litigation          resigned               dry         partially        Physically        impassable              wall           husband              wife          divorced           Suppose          amending      propositions       irrevocable        wickedness             folly               hot         sensitive           framing       precipitate      Intelligence          forsaken            assail             loath            mystic            chords       battlefield             swell         appearing           absorbs         engrosses        prediction          ventured            eighth         localized           somehow              rend          restrict        astounding           invokes          wringing               Woe           ascribe            Fondly          bondsman        unrequited              sunk              drop            malice             widow            orphan       reservation       untrammeled         agitating       interposing              Laws            debtor        stipulated        repudiator          farthing      retrenchment       feasibility        Ultimately          abeyance       contracting           payable         prostrate           rebuilt           resumes            wonted          assessed         disbursed            design       jeopardized         occupants         cementing         recovered     republicanism           guiding        contiguous           travels              fare     rehabilitated             cheap            routes      remuneration          producer   reestablishment        aborigines              Wars         expensive           weakest           lenient       consciences        promotions          released           respite            firing              Fort            Sumter      acquaintance        revengeful         candidacy              1868           slander       vindication           animate         Following          adopting        calamitous         Difficult        deplorable      perplexities           submits           Resting    superstructure              fade         barbarism         fellowmen          sweeping          assailed           afflict            merits          arrested         Universal      supplemented            truest         declaring       prescribing       prostration         September              1873      irredeemable       fluctuation       convertible   noninterference             Grant        submitting         unhappily           attends           espouse          counting            waited       conclusions          unerring      unsuccessful          amicably           hushing          Senators        constraint             piety         overlooks            glance         Perpetual         colonists      overestimate             stead              1780          Sacredly          autonomy         enfeebled          deplored     disfranchised         peasantry          obstacle     unquestioning        gentleness            laying        allegation        uneducated       allegations        palliation               Bad        sanctities         persisted           Suicide          strangle             lurks             hides         fountains         corrupted        remediless           figures       dangerously            savory           educate            oracle        overthrown    reconciliation      anticipating       Enterprises           grander          Fruitful         Confusion        variations           driving             metal             Grave            holder         refunding   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cruelty          unspoken      misinterpret             sixth           sitting              30th       centennials          suitably         contrasts       undauntedly         stretched         teachings           fringed            Dakota              1790         Baltimore            argued          eastward              1880        Cincinnati            stride              robe        directions             sweet        reenforced         divergent        shipmaster      manufacturer         disclosed           relaxed             shops         Petitions        imposition            afield     energetically         equipping         Societies         domestics             dress            inured            walked           fabrics      Pennsylvania           mineral      southeastern            ranges             tardy          smelting              mill         hillsides              Mill           funeral              pile      proclamation        eliminated          planting    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purification          limiting        Legitimate        superseded         cheapness      conspiracies            phases         unnatural           Loyalty         manliness       consistency     considerately          cupidity           retards           decreed     unremittingly    vindictiveness     rectification           lifting         treasured         underlies    misconceptions       familiarity       perversions         reinstate      discrediting            abject           Anxiety         constrain       insuperable          exacting      impressively          commands          attacked        impatience      restlessness             Fully          appalled           forsake      commandments         entailing          idleness      disturbances       circulating           premium       contraction         displaced             wiser         outgrowth         cordially            concur          training       bimetallism            parity          severest       outstanding         creditors        pensioners          Suitably         hindrance           suffice             lasts           outlays           accrued             Loans              bulk          needless         additions            latest         utterance           plainer          stopping             drain              nigh         justifies     discretionary          granting          severity           toilers        languished         producers          lessened          decrease       troublesome         energetic      immeasurably          Equality         consoling        unmolested            dearer         Lynchings        emphasizes          Immunity             undue           tightly        Illiteracy           Reforms       perfunctory           happens         shielding     administrated        progressed          rapidity       Commendable        upbuilding           consort           accords         insisting       Arbitration         employers             ninth              1886           Commons              1893        invitation      respectfully           thereon     overestimated         convening          postpone             freer          distract      preconceived            Monday      obliteration        distracted            marred      felicitation       affiliation      antagonistic              High               4th       constrained                41            avenue              1896       unfulfilled        determines           Honesty         Intrusted      appreciating            attach          reunited      Sectionalism          Existing        Magnifying          Distrust             theme              Dark          pictures            gloomy           becloud              Hope            maketh          prophets         defenders   obstructionists        intrenched       deteriorate             abate            tropic              suns            estate      disheartened          consoled        undergoing      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Relief            owning            Bureau      Corporations        Interstate        Commission          December         certainty         combining   differentiating      artificially       formulating          interval         clinching          revising         equitably         similarly         schedules          proposal            revise             halts          disturbs           mailing             prime               Due              1907         graduated           cutting           laissez             faire       supervising       reclamation          proceeds         deepening              Ohio         officered     expeditionary      completeness      insufficient           adjunct           reduces        improvised          messages       conservator           entails             Hague          Tribunal         idealists            intact            verbal           Spanish              bona              fide       naturalized           sojourn           Asiatic       amalgamated       prohibitory           clauses         outbursts        foreigners              puts     pusillanimous        elasticity               dew             evoke          dogmatic          studying    investigations           experts       undoubtedly            postal             repay             sales           cottons          steamers              Root        noteworthy         tentative              mail           ridding       importation     revolutionize  transcontinental             bulky       merchandise              rail        consulting             Gatun               dam             locks             newly           Colonel          Goethals              rear           pushing       progressing          unabated             sugar           tobacco         upholding          redounds       Northerners       sympathized        specifying      Encountering             acute         appointee          outweigh        Personally           awakens         benefited        franchises         sincerest        abolishing      contributory          therefor             limbs        Additional          outgoing           insofar              limb           Another            notice        recommends       formulation          unlikely          assemble         uppermost             creep          latterly           dropped         disguises             stuff           insight           aspects           Nowhere           rectify        fortuitous          accident              fine          corroded       inexcusable        squandered          conserve         worthless          scorning        shamefully          prodigal         admirably           snuffed         overtaxed        pitilessly            groans         undertone        scrutinize           debased          decadent           cleanse        reconsider            purify          humanize         weakening  sentimentalizing             crude         heartless         unfeeling            levers            scales          itemized     particularity             items              cuts          violates            facile     concentrating       restricting           strings         restricts        conserving      watercourses       undeveloped       unreclaimed          untended      disappearing        unregarded             heaps        organizers           politic            singly              cope            weaken            damage          Sanitary         powerless            undone            shines        hearthfire         partisans           shallow        excursions           whither             motto         debauched      heartstrings        reconciled           brother         spokesmen      interpreters         rectified             dares           grosser          centered      irresistibly         composite      cosmopolitan             quick       transcended       intolerable       provincials              bred           sternly            parcel            forged             blaze            purged            errant            humors          audience        delegation            beware            noting        ruggedness         withstood          breathes         clarified        atmosphere          mingling            senses         ambiguity           effaced           baptism             rivet         glorified           scoffed          recorded    noninvolvement         Confident         jealously         entangled          contacts           builded     misunderstand       misconstrue           outlaws         associate       approximate       disarmament          crushing        suggesting         mediation           thereto       translating   supergovernment         aloofness         appraisal       impassioned         reversion       questioning  internationality         supersede        referendum          initiate            seemly       probability            comity           Mankind          comities          intimacy           notably            galaxy          wreckage        embittered           travail        devastated         desolated            gaping          delirium        unbalanced       unspeakable           beating           riveted            convey          comrades    Reconstruction           revenge           prowess             unify        assignment             penny             inure             chest        inherently       impregnable   disorganization           swollen             flout          sedition          pitiable        slackerism              Envy         engenders         aftermath       measureless           wastage      Discouraging       repudiation              sane        reassuring            Herein             flows         lifeblood    interdependent              jars           clogged            Prices          receding         readjusts     compensations            evenly         mutuality             cycle           Peoples          Industry         lightened       sympathetic          omission       mindfulness           squared        intuitions           hungers          reverent    unpreparedness           insists       overturning            unfurl         revisions      reformations        evolutions         thirsting          fountain            luring           fallacy       Opportunity           bidding           cargoes           bottoms           reliant         Believing            reflex            Wealth          inimical       friendliest          blotches         illumined            befits            cradle         childhood            rocked            blight         disorders     industrialism           Service            Golden              Rule         autocracy             surge       reassurance        mindedness           implore              Holy              Writ            plight       manifesting   conscientiously        rearranged            firmer       continually        essentials          bearings         firmament        accurately          detached          confines        reasserted       intervening             slope          withdrew     unrecompensed           tensely     distinctively           desires           slogans         adjective       substantive         pacifists       militarists     configuration          comports         intensely             modem       competitive        comparison          Removing            accrue              keen           rivalry          hysteria         fomenting          slipping           seizing            musket       conferences      participants            factor        negotiated       inessential            barter       sophistries       subterfuges          actively   comprehensively           signify            handed        implicated         responded              sums    rehabilitation           formula       Undoubtedly     clarification           studies         outlawing        aggressive       adjustments        Conditions         brotherly         Parchment        detachment       contentious           Mindful              trim     fundamentally           bigoted             label         coherence            wanted         clearness       computation           monthly        carelessly         prudently       injuriously          soundest           wartime         legalized           larceny         ministers            assess          arriving            hamper         extremely            absurd           envious            owners          squander       dissipation       restrictive         plentiful           earners        recovering               ver          reviving           cereals         enshrined    administrators         barbarian        exhibiting        displaying          savagery          treading      collaborator         signified       destination    overwhelmingly       inquisition    contemplations            patron          obedient        solicitous            earner         attentive         intuitive          desiring            empire             lures         cherishes          PROGRESS            survey          virility            Calvin          Coolidge       safeguarded           FAILURE            SYSTEM          CRIMINAL           JUSTICE            malign             Crime        Confidence        decreasing         impotence       reestablish    simplification         attorneys            refuge    technicalities        subterfuge          thwarted            Reform             Rigid       expeditious          defeated     entanglements        delinquent     inefficiently              sore       ENFORCEMENT        EIGHTEENTH         AMENDMENT        concurrent        patronized             awake           coequal          stamping          outlawry        condemning           crumble          NATIONAL     INVESTIGATION          RELATION                TO          BUSINESS       COOPERATION                BY       cooperating        regularity         manifests         EDUCATION      universality        instructed           wrecked           refresh         selective            PUBLIC            HEALTH          diseases       eradication        infinitely             WORLD             PEACE           accepts       interlocked             haunt       Superficial         observers         engrossed          negation        broadening        extinction      renunciation              sets              pave    misinterpreted          advisory        subsidiary        membership            League         increases      availability         unbounded       hospitality      inheritances           emotion            chairs          shameful        confession      unworthiness            mature           mingled             PARTY  RESPONSIBILITIES         platforms           SPECIAL           SESSION          CONGRESS             OTHER          MANDATES              FROM          ELECTION          tangible    determinations          embedded       touchstones          fruition         catalogue       definitions     individuality         lessening               Ill            faults        CONCLUSION      degeneration            impels          nameless       unreasoning       unjustified         paralyzes            Values          shrunken       curtailment          withered          optimist           locusts          Compared            Plenty          doorstep         Primarily      stubbornness      incompetence         abdicated         Practices      unscrupulous          indicted             Faced           lending          Stripped              lure      exhortations         tearfully           seekers             seats         Happiness            thrill               mad        ministered       Recognition           falsity          likeness           callous             Small       Restoration            ethics        recruiting          treating        reorganize   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Tarry          Vitality           Courage            Mental             gains           Advance              goad            Dulled          reappear          symptoms          portents             tests       persistence            fourth              1933        translated           incomes              pall             hangs           labeled            polite    productiveness              clad         nourished          proposes       superfluous    Overwhelmingly          trustees       uncorrupted           cancers      reconsecrate          suddenly    individualists              weld        happenings          inaction             Lives             score       unexplained           surging            ebbing        decisively          function          Prophets          downfall              dire           enlists          infinite       invigorated            rested       understands         narrowing               hit            mostly         permeated             Magna            Charta      irresistible           tongues         Mayflower           Compact           Address          longings            sprang           stature           clarity        undeserved            clothe          instruct            inform       constricted          perished         unnoticed                48          counties             towns          prophecy              1941         smothered            strove         valiantly      triumphantly         faintness      schoolmaster           Peabody        untroubled            Things          smoothly          downward              1945         ostriches              dogs            manger           Emerson             stout         anguished            brutal         frightful           adheres          purports            Misled           chattel         Communist       hostilities            Almost                16        invigorate         forefront         defeatism            losing          Hundreds         emphasize       unfaltering          Economic             Third           Charter              pact               Rio                de           Janeiro         equipment            embark    underdeveloped         primitive          handicap               pre        techniques      imponderable             store           needing          clothing        mechanical              pool          welcomed       specialized        Guarantees          investor          envisage           Greater        vitalizing            Slowly           weaving        propaganda            Events         Steadfast          uttering        beseeching              Thou               Thy            midway            massed            Masses         bloodiest           Thrones           toppled           empires         recurring           Seeking               Iwo              Jima           beseech              scan               wit        pilgrimage           nearing           closing    preoccupations         absorbing         surpasses         brightest          sharpest            Oceans          colossal           Disease         imperiled             amass            sweats           Science             erase         deathless           ledgers            lathes              corn        profitably             draft       legislators           asserts             warns               god             tutor            defies          slightly      philosophies           strikes          churches             magic            pitted         lightness            grower             Burma             wheat              Iowa          shepherd             Italy       mountaineer             Andes              dies              Indo            Malaya          solitude         surpluses           applies         intensity        truculence         spasmodic          helpless            stanch         Abhorring              balk             deter           preying         logically             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undoing              odds          replaced         foolishly            riding             tiger              huts        Communists           casting        subversion          outpaced         invective              writ           planned        accidental      overburdened            racing             stays        belaboring         formulate           terrors               tap            Isaiah              undo         beachhead            graves           trumpet         embattled       tribulation              glow           reminds           secrets         uprooting          Covenant        frightened         Conceived        unattended        vigilantly             tower      surroundings          prideful          Terrific           spilled             stuck        passengers               dot        companions        incredible        capitalist            worker             clerk       countryside            learns            candle         brightens            reopen          rekindle              scar            Belief        changeless         battalion              ants           probing             tears          harshest        Underneath            clamor           awaited         uncrossed            desert         unclimbed          sleeping          unplowed          Farewell           winding         sorrowful          November              1963           Dirksen          Humphrey          fleeting            Forces        converging        peacemaker          mastered           strides           broadly      passionately            Delano           ravaged           gripped         surveying            ragged           raucous         Greatness         trappings              fans         bombastic          postures        persuading           anguish         enhancing              pres          urgently            asleep         headlines         newspaper           journal         cathedral       uninspiring          exciting            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     ]
    }
   ],
   "source": [
    "freq.tabulate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "14cdf60d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9312"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(set([word.upper() for word in text4]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c403e244",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10025"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(set([word for word in text4]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cd95cbf9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
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