Module_01_Lab_01_Features.ipynb

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      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
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        "<a href=\"https://colab.research.google.com/github/Harsha-070/FMML_IIITH/blob/main/Module_01_Lab_01_Features.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "A6I1yI79fbLD"
      },
      "source": [
        "# Extracting features from data\n",
        "\n",
        "FMML Module 1, Lab 1<br>\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
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      "source": [
        "! pip install wikipedia\n",
        "\n",
        "import wikipedia\n",
        "import nltk\n",
        "from nltk.util import ngrams\n",
        "from collections import Counter\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import re\n",
        "import unicodedata\n",
        "import plotly.express as px\n",
        "import pandas as pd"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: wikipedia in /usr/local/lib/python3.10/dist-packages (1.4.0)\n",
            "Requirement already satisfied: beautifulsoup4 in /usr/local/lib/python3.10/dist-packages (from wikipedia) (4.11.2)\n",
            "Requirement already satisfied: requests<3.0.0,>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from wikipedia) (2.31.0)\n",
            "Requirement already satisfied: charset-normalizer<4,>=2 in /usr/local/lib/python3.10/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (3.2.0)\n",
            "Requirement already satisfied: idna<4,>=2.5 in /usr/local/lib/python3.10/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (3.4)\n",
            "Requirement already satisfied: urllib3<3,>=1.21.1 in /usr/local/lib/python3.10/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (2.0.4)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.10/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (2023.7.22)\n",
            "Requirement already satisfied: soupsieve>1.2 in /usr/local/lib/python3.10/dist-packages (from beautifulsoup4->wikipedia) (2.5)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m6hGhIGiy4GP"
      },
      "source": [
        "# Part 1: Features of text\n",
        "How do we apply machine learning on text? We can't directly use the text as input to our algorithms. We need to convert them to features. In this notebook, we will explore a simple way of converting text to features.\n",
        "\n",
        "Let us download a few documents off Wikipedia."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lpUmCoEr2R3J"
      },
      "source": [
        "topic1 = 'Giraffe'\n",
        "topic2 = 'Elephant'\n",
        "\n",
        "wikipedia.set_lang('en')\n",
        "\n",
        "eng1 = wikipedia.page(topic1).content\n",
        "eng2 = wikipedia.page(topic2).content\n",
        "\n",
        "wikipedia.set_lang('fr')\n",
        "\n",
        "fr1 = wikipedia.page(topic1).content\n",
        "fr2 = wikipedia.page(topic2).content"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Cj7RlhMiO5kd"
      },
      "source": [
        "This is what the text looks like:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GW0G-t912UXZ",
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          "base_uri": "https://localhost:8080/",
          "height": 140
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        "outputId": "909ee1e3-2f43-4eb9-bc8b-d0d1f40eaa6a"
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      "source": [
        "fr2"
      ],
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            "text/plain": [
              "'Les éléphants sont des mammifères proboscidiens de la famille des Éléphantidés. Ils correspondent aujourd\\'hui à trois espèces réparties en deux genres distincts. L\\'éléphant de savane d\\'Afrique et l\\'éléphant de forêt d\\'Afrique, autrefois regroupés sous la même espèce d\\'« éléphant d\\'Afrique », appartiennent au genre Loxodonta, tandis que l\\'éléphant d\\'Asie, anciennement appelé « éléphant indien », appartient au genre Elephas. Ils se différencient par certaines caractéristiques anatomiques, les éléphants d\\'Asie étant en général plus petits avec des oreilles plus petites, ou encore une différence du bout de la trompe. Ces espèces survivantes font localement l\\'objet de programmes ou de projets de réintroduction et de protection.\\nLe mot français « éléphant » vient du mot latin elephantus qui tire son origine du grec ἐλέφας / eléphas, « ivoire » ou « éléphant ».\\nL\\'éléphant apparait dans de nombreuses cultures. Il est symbole de sagesse dans la culture asiatique, connu pour sa mémoire et son intelligence, qui est comparée à celle des cétacés et hominidés. Aristote avait dit que l\\'éléphant est « la bête qui dépasse toutes les autres par l\\'intelligence et l\\'esprit ».\\n\\n\\n== Description ==\\n\\nL\\'éléphant d\\'Afrique, qui peut atteindre 7 tonnes, est le plus gros animal terrestre actuel, mais il est loin derrière la Baleine bleue (Balaenoptera musculus) qui peut peser jusqu\\'à 200 tonnes et dépasser 30 mètres de long.\\n\\n\\n=== Squelette et muscles ===\\n\\nLe squelette de l\\'éléphant présente des caractéristiques dictées par la masse qu\\'il doit soutenir : il représente environ 16,5 % de la masse totale de l\\'animal, cela signifie que pour un éléphant de 7 tonnes, le squelette pèse 1,155 tonne. Les os de l\\'éléphant sont spongieux. Sa cage thoracique, formée de vingt côtes, est arrimée le long de l\\'épine dorsale.\\n\\nL\\'éléphant possède deux genoux à ses membres postérieurs, qui sont constitués d\\'un fémur, d\\'une rotule et de l\\'association tibia-fibula. Les membres antérieurs, quant à eux, comprennent une scapula, un humérus, et l\\'association radius-ulna.\\nL\\'éléphant marche sur le bout des doigts,. Les orteils sont insérés dans le pied, il y en a entre 2 et 5, on en voit seulement les ongles. Cependant on peut voir entre trois et cinq ongles en fonction des pieds. Les pieds antérieurs ont une forme arrondie, alors que les pieds postérieurs ont une forme ovale. Les pieds sont composés de tissus adipeux qui agissent comme des amortisseurs.\\nContrairement à la plupart des mammifères, il est impossible pour un éléphant de sauter, pour des raisons d\\'ordre biomécanique : il lui faut toujours un pied sur le sol. Cependant il peut courir à une vitesse maximale de 20 km/h (un éléphant ayant été chronométré à 24 km/h dans le cadre d\\'une étude scientifique).\\nMême si on emploie le terme « courir » pour un éléphant, il est à noter que le terme est inapproprié. Il serait plus logique de dire qu’il « marche vite ». En effet, il ne change pas son allure (sa façon de se déplacer) lorsqu’il accélère.\\nUn éléphant d\\'Afrique mâle adulte mesure 3,50 mètres au garrot et pèse 5 à 6 tonnes, une femelle adulte mesure 3 mètres de haut au garrot pour une masse de 4 tonnes environ. À la naissance, l\\'éléphant pèse environ 120 kg. Un éléphant vit en moyenne 60 ans. Le plus grand éléphant connu a été signalé en Angola en 1974 : il s’agissait d’un mâle de 12 tonnes mesurant 4,20 m au garrot, soit un mètre de plus que la moyenne des éléphants africains.\\nDes éléphants nains, de la taille d\\'un grand cochon, ont également peuplé les îles méditerranéennes au cours de la Préhistoire, ; certains sont signalés en Crète jusqu\\'en 5000 av. J.-C., voire jusqu’en 3000 av. J.-C.,.\\n\\n\\n=== Trompe ===\\nLa principale caractéristique des éléphants est leur trompe appelée proboscis. Il s\\'agit d\\'un organe nasal (avec une fonction de respiration et de perception des odeurs) allongé qui découle de la fusion de la lèvre supérieure et du nez. La trompe est un organe souple et préhensile leur servant à porter l\\'eau et la nourriture à leur bouche, à tirer ou transporter des objets et à pousser des cris.\\nLa trompe comporte entre 100 000 et 150 000 muscles ; elle est dépourvue d\\'os et pèse plus de 100 kg.\\n« La trompe se compose de deux longs tuyaux cylindriques, partant de l’ouverture antérieure des fosses nasales. Ces tubes se rétrécissent à la région de l’inter mâchoire, ce qui empêche l’eau pompée par la trompe de pénétrer dans la cavité nasale ; ils offrent ensuite une dilatation, puis se resserrent de nouveau à l’endroit où ils s’ouvrent dans les narines osseuses, et où ils sont couverts par un cartilage nasal ovale. (…) Les tubes sont entourés d’une multitude de faisceaux musculaires, les uns longitudinaux, les autres rayonnant vers la peau et servant à comprimer les premiers. Quelques-uns enfin, mais en moins grand nombre sont circulaires. Cependant il faut distinguer de ces muscles, propres à la trompe, ceux qui servent à mouvoir l’organe en entier. Ces derniers sont comparables aux muscles de la queue. On les distingue en élévateurs et abaisseurs supérieurs et latéraux, qui naissent du front, des os propres du nez et des cartilages, tant de l’os maxillaire supérieur que de l’intermaxillaire ».\\nLe bout de la trompe d\\'un éléphant d\\'Afrique est en forme d\\'amande, alors que celle d\\'un éléphant d\\'Asie est en forme de poire. L\\'excroissance à son extrémité a une fonction analogue à un doigt, leur permettant de décortiquer une cacahuète. Les éléphants ne boivent pas directement par leur trompe. L\\'effort nécessaire pour se pencher jusqu\\'au sol afin de boire l\\'eau par la bouche étant trop important et l\\'opération étant même impossible lorsque l\\'eau se trouve au-dessous du niveau du sol, ils boivent en remplissant leur trompe avec de l\\'eau qu\\'ils aspirent et gardent momentanément avant de la verser ensuite, par gravité, dans leur bouche.\\nL\\'allongement du museau des proboscidiens anciens à l\\'origine de l\\'éléphant serait lié à la croissance continue des incisives (les défenses) et leur augmentation de taille : herbivores concurrencés par les ruminants et les équidés, leur adaptation trophique se traduit alors par un régime de plantes plus fibreuses peu nutritives et une augmentation de taille corrélative, les proboscidiens fourrageant pendant des heures à la recherche aussi bien de végétaux au sol que de feuilles d\\'arbres.\\n\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\t\\t\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\t\\t\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\n\\n=== Denture et défenses ===\\nL’éléphant a au cours de sa vie 26 dents : 2 incisives donnant les défenses et successivement 3 prémolaires et 3 molaires par demi mâchoire.\\nLa distinction des prémolaires et des molaires se justifie uniquement quand elles sont présentes en même temps sur la même mâchoire. Mais pour les éléphants modernes ce n’est généralement pas le cas (une ou deux dents fonctionnelles sont présentes en même temps) alors que pour les éléphants les plus primitifs, les fortes dents de lait molarisées sont suivies de molaires permanentes.\\n\\n\\n==== Défenses ====\\n\\nLes défenses sont formées par une extension des secondes incisives supérieures. Elles servent d’outil, d’arme de défense et d’attribut sexuel.\\nLes éléphanteaux développent de petites défenses décidues de 5 cm de long. Elles sont remplacées par des défenses permanentes vers l’âge de 6 à 12 mois. Les mâles et les femelles d’éléphant d‘Afrique portent des défenses alors que seuls les mâles des éléphants d’Asie en ont (ces variations ne sont pas indiquées dans la formule dentaire). Elles croissent toute leur vie d’environ 17 cm par an.\\nUne défense nouvellement développée a un capuchon en émail lisse qui finit par s\\'estomper. La dentine est connue sous le nom d\\'ivoire ; sa section transversale se compose de motifs de lignes entrecroisées qui créent des zones en forme de losange. Une grande partie des défenses est visible de l\\'extérieur ; le reste est enserré dans un logement du crâne. Au moins un tiers de la défense contient la pulpe et certains nerfs s\\'étendent jusqu\\'à la pointe. Il serait donc difficile de l\\'enlever sans nuire à l\\'animal. Une fois retiré, l\\'ivoire commence à se dessécher et à se fissurer s\\'il n\\'est pas conservé au frais et à l\\'humidité.\\nL\\'éléphant se sert de ses défenses à plusieurs fins. Il les utilise pour creuser dans l\\'eau, le sel ou parmi les racines; écorcer ou marquer les arbres ; déplacer des arbres et des branches pour dégager un chemin. Lors des combats, elles servent pour attaquer, se défendre, protéger le corps.\\nComme les humains, qui sont généralement droitiers ou gauchers, les éléphants ont généralement une différenciation des défenses droite et gauche. La défense dominante, appelée défense principale, est généralement plus usée et plus courte, avec une pointe plus arrondie. Pour les éléphants d\\'Afrique, les défenses sont présentes chez les mâles et les femelles, et ont à peu près la même longueur pour les deux sexes, atteignant jusqu\\'à 3 m, mais celles des mâles ont tendance à être plus épaisses. Autrefois, les défenses d\\'éléphant pesant 100 kg et plus n\\'étaient pas rares, mais on n\\'en voit plus guère aujourd\\'hui dépassant 50 kg.\\nChez les espèces asiatiques, seuls les mâles ont de grandes défenses. Les femelles asiatiques ont de très petites défenses, voire aucune. Il existe des mâles dépourvus de défenses, particulièrement communs au Sri Lanka. Les mâles asiatiques peuvent avoir des défenses aussi longues que celles des africains, mais elles sont généralement plus minces et plus légères : les plus grandes enregistrées mesuraient 3,02 m de long et pesaient 39 kg. La chasse à l\\'ivoire d\\'éléphant en Afrique et en Asie a conduit à une sélection naturelle pour des défenses plus courtes, ou absentes,.\\n\\n\\n==== Dentition ====\\nLes éléphants ont une croissance continue toute leur vie c’est pourquoi ils ont besoin d’avoir une zone de broyage dentaire des aliments qui croît aussi progressivement. Ceci peut se faire parce qu’ils produisent successivement six dents sur chaque côté des mâchoires (supérieures et inférieures) M1, puis M2..., puis M6 qui sont de plus en plus grosses. À chaque instant, il n’y qu’une ou deux dents (sur chaque demie mâchoire) qui soient en usage.\\nLes éléphants actuels ont un mode de substitution des dents très singulier: alors que les dents de la plupart des mammifères sont remplacées verticalement sur place (une dent de lait est remplacée par une dent définitive poussant en dessous), pour les éléphants modernes les molaires et prémolaires (dites dents jugales Mi, dents de la joue) suivent un déplacement horizontal vers l’avant, comme si elles dérivaient sur un « tapis roulant »,.\\n\\nLes dents M1, puis M2... puis M6 apparaissent successivement, avec une seule ou deux en service en même temps (soit Mi soit Mi et Mi+1 qui est en tain d’émerger), à chaque fois d’une taille plus grande que la précédente (Mi+1 > Mi). La nouvelle dent se développe dans un sac alvéolaire à l\\'arrière de la mâchoire et avance progressivement afin de repousser l’ancienne dent usée qui finit par se disloquer à l’avant de la mâchoire. Comme leur taille augmente, la mâchoire croît en même temps et la capacité de broyage des végétaux augmente.\\nAvec seulement quatre molaires dans la gueule, les éléphants peuvent mastiquer les quelque 200 kilos de végétaux dont il se nourrissent quotidiennement. Chaque dent est formée d’un empilement de lamelles d’émail remplies de dentine qui sont maintenues ensemble avec du cément. Chaque molaire successive Mi est plus grande que la précédente Mi-1 et contient un nombre égale ou supérieur de lamelles. Au fur et à mesure que Mi avance, elle monte hors de son alvéole et subie une usure lors de la mastication, les lamelles et les crêtes d’émail, de cément et de dentine s’érodent progressivement à des vitesses différentes\\nDes observations pertinentes avaient été déjà faites dès le milieu du XIXe siècle par Corse et de Blainville, « les éléphants (…) ont six paires de dents à chacune des mâchoires. Ces dents augmentent de volume depuis la première jusqu’à la dernière ou sixième, et le nombre de leurs lamelles (…) est aussi de plus en plus considérable. ». « Les dents se présentent deux par deux de chaque côté de l’une et de l’autre mâchoire ».\\nDiverses méthodes ont été développées pour identifier chacune des molaires. Dans les années 1960, Laws\\n et Sikes ont publié indépendamment deux études sur l’évaluation du vieillissement. Les deux techniques s’accordent à considérer que les critères d’évaluation des molaires doivent être basées sur la largeur et la longueur de la molaire complète et le nombre de lamelles présentes.\\nLa première molaire M1 de chaque demie mâchoire tombe lorsque l\\'éléphant a deux ou trois ans. Les deuxièmes molaires M2 tombent entre quatre et six ans. La troisième série tombe entre 9 et 15 ans et la quatrième série dure jusqu\\'à 18-28 ans. La cinquième série de dents tombe vers les 40 ans. La sixième (et généralement le dernière) M6 doit durer le reste de la vie de l’éléphant.\\n\\n\\n=== Peau ===\\nLa peau de l\\'éléphant est d\\'une épaisseur d\\'environ 2 cm. Cette peau est fragile du fait de la présence de plis où viennent se loger des parasites. Il n\\'y a pratiquement pas de poils, et il n\\'y a ni glande sudoripare, ni glande sébacée. De ce fait, leur peau est sèche, c\\'est pour cela qu\\'elle doit être souvent humectée à l\\'aide d\\'eau projetée par la trompe ou couverte de poussière ou de boue également projetée par leur trompe.\\nLa couleur de la peau est grisâtre ; cependant sa couleur apparente est liée au sol sur lequel évolue l\\'éléphant. Elle peut aussi être due aux bains de boues.\\nLa faible densité des poils (quelques centaines par mètre carré, chaque poil mesurant en moyenne 2 centimètres de longueur et 0,5 mm de diamètre) agit non plus comme une fourrure mais participe — à hauteur de 23 % — avec d\\'autres mécanismes de thermorégulation (battement des oreilles, bains, pulvérisation d\\'eau avec leurs trompes, respiration percutanée) à la thermolyse du mammifère, les poils agissant comme des ailettes qui augmentent la surface d\\'échange et donc les transferts thermiques.\\n\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\t\\t\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\t\\t\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\n\\n=== Oreille ===\\nLes oreilles de l\\'éléphant lui permettent de réguler sa température corporelle, grâce à une vascularisation très importante. Lorsqu\\'il mange des fruits fermentés ayant un degré d\\'alcool d\\'environ 7°, l\\'éléphant remue violemment ses oreilles, de même pour sa queue et sa trompe. Elles sont généralement plus petites chez l\\'éléphant d\\'Asie.\\n\\n\\n=== Cerveau ===\\nLe cerveau de l\\'éléphant, situé à l\\'arrière de son crâne, pèse entre 4 et 6 kg, ce qui est déjà considérable. Si l\\'on compare la taille du cerveau de l\\'éléphant à sa masse corporelle, il est alors le mammifère ayant le plus petit cerveau, alors que la souris possède le plus grand.\\n\\n\\n== Biologie et comportement ==\\n\\n\\n=== Reproduction ===\\n\\n\\n==== Maturité sexuelle ====\\nSi les fonctions reproductrices des éléphants mâles se mettent en place vers l\\'âge de 10-15 ans, ils commencent à se reproduire vers l\\'âge de 30 ans quand ils sont suffisamment imposants pour pouvoir se battre avec d\\'autres mâles pour conquérir les femelles.\\nLes fonctions reproductrices de l\\'éléphant femelle apparaissent de 9 ans jusqu\\'à 15 ans.\\nDans l\\'organisation matriarcale des éléphants, les mâles sont connus pour leur tempérament indépendant et ont tendance à vivre en solitaire, forgeant parfois une alliance provisoire avec un autre individu ou intégrant une bande de manière informelle. Tandis que les femelles entretiennent des liens familiaux étroits et solides.\\n\\n\\n==== Comportement sexuel ====\\n\\nLes mâles en rut, dont le taux sanguin de testostérone peut s\\'accroître cinquante fois, agitent les oreilles et secouent la tête, leur pénis devient vert. Il en dégouline une urine fortement odorante. Cela est dû à la libération d\\'un musc d’une phéromone, la frontaline, sécrétée sous deux formes chirales. Ces deux énantiomères (deux formes : (+)-frontaline et (-)-frontaline) ne sont pas sécrétés en mêmes proportions. Chez les jeunes mâles, la forme (+) domine. Au fur et à mesure de la maturité et de la période de rut, les deux isomères forment un racémique, qui attire les femelles en phase folliculaire et en œstrus. La frontaline est libérée par la glande temporale chez l’éléphant en période de rut, la sécrétion débute peu de temps avant la puberté, à l’âge de 15 ans. Cependant le rut ne se produit qu\\'à partir de 25 ans et ne durera que quelques jours. Puis vers 31-35 ans, celui-ci dure plusieurs semaines. Vers 36-40 ans, il dure de 1 à 2 mois. Pour finir, après 40 ans, le rut s’étend sur une période de 2 à 4 mois. La quantité de phéromones émises augmente avec l’âge de l’éléphant ainsi qu’en milieu de rut. La concentration et la proportion d’énantiomères de la frontaline constituent pour les animaux qui seront attentifs au message une source d’information sur l’âge et le stade du musth de l\\'éléphant qui émet. Une concentration de frontaline, en racémique, sera le synonyme d\\'un mâle mature ayant un statut social important.\\n\\n\\n==== Accouplement ====\\nUne fois que la femelle et le mâle sont ensemble, l\\'accouplement peut commencer. L\\'éléphant mâle étant très lourd, la copulation est très rapide. En général, elle dure entre 20 et 30 secondes. La période de copulations dure environ trois jours.\\nLa jeune femelle est effrayée lors de sa première période de chaleur, le mâle peut la poursuivre. Pour avertir la femelle qu\\'il va la saillir, le mâle pose sa trompe sur son dos ; la femelle s\\'immobilise alors.\\nLes mâles passent dans les troupeaux de femelles lors de leur rut pour sentir les vulves des femelles.\\n\\n\\n==== Gestation et mise bas ====\\nLa gestation d\\'une éléphante est la plus longue de tous les mammifères terrestres. Elle dure de 20 à 22 mois. La durée d\\'allaitement est comprise entre 36 et 48 mois. Les mises bas s\\'espacent d\\'environ 2 ans et demi à 5 ans. La gestation est plus longue pour un éléphanteau mâle que pour un éléphanteau femelle.\\nUne éléphante peut être en gestation jusqu\\'à l\\'âge de cinquante ans. Dans la plupart des cas, un seul éléphant est porté ; les cas de gémellité sont très rares.\\n\\n\\n=== Vie sociale ===\\nLes éléphants vivent dans une société matriarcale. Cette structure matriarcale existe depuis plus de sept millions d\\'années, des empreintes d\\'une harde d\\'éléphants de cette époque ayant été découvertes sur une surface de 5 hectares sur le site de Mleisa 1 dans les Émirats arabes unis, faisant de cette piste de mammifères fossile la plus vieille de ce type et probablement la plus longue piste préservée dans le monde. Les troupeaux sont composés d\\'une dizaine d\\'éléphantes et de jeunes éléphanteaux, après la maturité sexuelle les mâles quittent le groupe. Ils errent jusqu\\'à ce qu\\'ils fassent alliance avec d\\'autres jeunes mâles.\\nUne étude, menée dans un zoo, montre que l\\'éléphant aime les fruits fermentés à un degré d\\'alcool de 7°. Lorsque l\\'éléphant est saoul, il perd de sa sociabilité (alors que sobre il est très sociable). Lorsqu\\'il est ivre, il reste à l\\'écart du troupeau. Un chercheur américain défendait l\\'idée que les animaux s\\'enivrent ou se droguent, volontairement, pour oublier les tourments de leur existence. Pour le prouver, il a fait vivre durant un mois des éléphants d\\'une réserve californienne sur un territoire plus restreint qu\\'à leur accoutumée. La surpopulation due au petit espace a angoissé les animaux qui, du coup, ont bu trois fois plus que d\\'habitude. Ils sont devenus si agressifs qu\\'il a été dangereux de les approcher.\\n\\n\\n=== Communication ===\\nLe cri de l\\'éléphant est le barrissement. De récentes études scientifiques ont montré que les éléphants, comme de nombreux animaux, sont sensibles aux infrasons. L\\'utilité de l\\'audition de ces infrasons reste cependant mystérieuse. Il semble qu\\'ils soient capables de communiquer entre eux par les ondes acoustiques de surface transmises par le sol.\\n\\n\\n=== Sommeil ===\\nLes éléphants peuvent dormir debout ou couchés. Le fait de se coucher indique qu\\'ils sont parfaitement détendus.\\n\\n\\n=== Alimentation ===\\nL\\'éléphant est herbivore, il mange une grande variété d\\'éléments végétaux : herbes, plantes, feuilles, fruits, racines et tubercules, écorces et même du bois. Il apprécie par exemple le bois tendre et gorgé de sève du baobab.\\nLes besoins alimentaires de l\\'éléphant sont importants, surtout qualitativement. En fonction de son environnement, il consacre une grande partie de son temps à la recherche de nourriture (16 à 20 heures par jour), se déplaçant sur de longues distances et sélectionnant les aliments les plus riches. Il peut se dresser sur ses pattes arrière pour attraper avec sa trompe les rameaux les plus tendres jusqu\\'à cinq ou six mètres de hauteur.\\nQuotidiennement, il faut à l\\'éléphant entre 150 et 180 kilogrammes de nourriture en saison sèche, et entre 200 et 260 kilogrammes en saison des pluies. Ces quantités varient aussi en fonction des espèces et des milieux fréquentés.\\nUn éléphant adulte boit jusqu\\'à 140 L d\\'eau par jour. Il aspire dans sa trompe jusqu\\'à dix litres à la fois, puis se les verse dans la bouche. Il peut rester trois ou quatre jours sans boire. Il peut se servir de sa trompe pour reprendre de l\\'eau dans son estomac et s\\'en servir pour se rafraîchir la peau. Sa peau très épaisse est l\\'objet de soins constants : outre les aspersions, les baignades et les roulades dans la boue, le poudrage à la poussière est bienvenu pour protéger l\\'épiderme des insectes et du soleil.\\nMalgré la quarantaine de mètres d\\'intestin qu\\'il possède, sa digestion est peu efficace. Elle dure environ 12 heures après les 16 à 20 heures où il a cherché à se nourrir, 40 à 60 % de la nourriture n\\'étant pas digérée. Si son alimentation n\\'est pas suffisamment riche, son tonus, son humeur et sa santé en général sont rapidement affectés.\\nLe comportement alimentaire a en général un impact important sur le milieu. Le bilan de ces conséquences varie en fonction des espèces (Afrique, Asie), de la saison, du biotope et de la densité de la population. Ainsi, l\\'éléphant peut être considéré comme destructeur d\\'arbres en particulier dans la savane, alors qu\\'il participe ailleurs très activement à la régénération en limite des zones forestières. Certaines espèces d\\'arbres sont dépendantes de l\\'éléphant pour leur extension : celui-ci, friand de leurs fruits, en dissémine les graines avec l\\'excellent terreau que constitue son crottin, capable de contenir jusqu\\'à 35 % de graines.\\n\\n\\n=== Intelligence ===\\n\\nEn l’état actuel des connaissances, l’éléphant est, avec l\\'humain, le dauphin, le corbeau et certaines espèces de grands singes, l\\'une des rares espèces animales à réussir le test du miroir de Gallup : lorsqu’on marque d’une tache le front d’un éléphant en un point qu’il ne peut voir directement et qu’on lui présente un miroir, il passe sa trompe sur la tache ; démontrant ainsi qu’il a reconnu son image et donc qu’il a conscience de lui-même,,.\\nLes éléphants peuvent utiliser des outils de défense, telles des pierres saisies avec leur trompe et qu\\'ils lancent sur leurs ennemis. Ils peuvent également se toiletter en se grattant avec des branches ou des baguettes des parties de corps qu\\'ils ne peuvent atteindre avec leur trompe. Ils présentent ainsi un exemple d’utilisation d\\'outil par un animal.\\nLors d\\'une expérimentation de Preston Foerder, un éléphant (d\\'Asie, Elephas maximus) s\\'est montré capable d\\'un éclair de compréhension (insight). Il est allé chercher un cube pour monter dessus et atteindre de la nourriture,.\\n\\n\\n=== Perception ===\\nLes éléphants sont réputés pour leur capacité à anticiper l\\'arrivée des intempéries. il semblerait qu\\'ils soient capables d\\'entendre les sons provoqués par le déplacement des nuages.\\n\\n\\n== Systématique ==\\n\\n\\n=== Taxonomie ===\\n\\nL’éléphant d\\'Asie et l’éléphant d’Afrique ont longtemps été considérés comme les deux seules espèces représentant la famille des Éléphantidés à l’époque moderne. Depuis, de récentes études génétiques ont permis de distinguer deux sous-espèces africaines distinctes : Loxodonta africana africana (« éléphant de la savane ») et Loxodonta africana cyclotis (« éléphant des forêts »).\\nLes espèces d\\'Éléphantidés vivant à l’heure actuelle sont donc :\\n\\n\\n=== Histoire évolutive ===\\n\\nL’extinction Crétacé-Tertiaire est suivie d\\'une diversification très rapide des ongulés africains, notamment l\\'ordre des Proboscidiens dont les plus anciennes espèces découvertes à ce jour sont Eritherium azzouzorum et Phosphatherium escuilliei, datant de la fin du Paléocène il y a 60 millions d\\'années. Sans trompe mais avec une première incisive agrandie (rappelant la naissance d\\'une défense) et des orbites oculaires en position antérieure, ces premiers proboscidiens sont petits et graciles, ont un corps bas sur pattes et un mode de vie semi-aquatique, à l\\'instar de Moeritherium.\\nAprès un déclin à l\\'oligocène, les proboscidiens connaissent une diversification avec l\\'apparition des Deinotheriidae et des Mammutidae. La seconde radiation évolutive voit l\\'émergence au début du Miocène des Gomphotheriidae qui sont à l\\'origine des Elephantidae et des Stegodontidae, familles qui correspondent à la troisième radiation évolutive au miocène supérieur.\\nLes Proboscidiens présents sur le continent américain, tels Mammut americanum ou Haplomastodon, se sont éteints il y a une dizaine de milliers d\\'années.\\n\\n\\n== L\\'éléphant et l\\'homme ==\\n\\n\\n=== Menaces de disparition ===\\n\\n\\n==== Chasse et braconnage ====\\nDurant des millénaires, l\\'homme chassa l\\'éléphant pour sa consommation et pour le commerce de l\\'ivoire tiré des défenses. Durant l\\'Antiquité, les éléphants de Nubie furent utilisés dans les armées des Carthaginois. Au XVe siècle av. J.-C., il y avait encore des éléphants sur les bords de l\\'Euphrate, où le pharaon Thoutmôsis Ier chassait l\\'éléphant.\\nLa population des éléphants africains et asiatiques a été décimée, passant de plusieurs millions d\\'individus au début des années 1970 à quelques centaines de milliers 30 ans plus tard. Si bien qu\\'en 1989, la CITES interdit le commerce de l\\'ivoire. Les éléphants sont désormais considérés comme des espèces protégées et la chasse aux éléphants est très réglementée.\\nLe braconnage s\\'intensifie malheureusement chaque année. En 2011, entre 25 000 et 30 000 éléphants ont été abattus sauvagement afin de récupérer leurs défenses et alimenter les commerces illégaux notamment en provenance d\\'Asie.\\nL\\'éléphant a peu de prédateurs naturels, c\\'est-à-dire d\\'autres espèces que l\\'Homme. De grands fauves tels que le lion ou le tigre du Bengale (dans le cas de l\\'éléphant d\\'Asie) peuvent exercer une prédation sur les individus jeunes ou faibles ; il est cependant peu probable que ces animaux attaquent un adulte, au vu du danger qu\\'il peut représenter.\\nSelon l’Union internationale pour la conservation de la nature (UICN), la population des éléphants d’Afrique a sensiblement diminué au cours des années 2010 : le continent compte en 2019 environ 415 000 spécimens, soit 111 000 de moins que lors de la précédente décennie.\\n\\n\\n==== L\\'éléphant des forêts africaines menacé d\\'extinction d\\'ici 2025 ====\\nAu terme de la conférence organisée à Bangkok du 3 au 14 mars 2013, par la CITES, à laquelle 178 pays ont participé, l\\'état d\\'esprit était au pessimisme concernant la protection des éléphants « victimes dans leurs pays d\\'origine d\\'un braconnage sans précédent et d\\'un commerce effréné en Asie ». Nombre d\\'ONG concernées par cette action pensent que « la communauté internationale a échoué à protéger les éléphants ». Depuis 2007 le trafic d\\'ivoire a doublé et plus que triplé par rapport à 1998. Le nombre d\\'éléphants africains, selon les enquêtes présentées à la conférence, est compris entre 420 000 et 650 000. 25 000 ont été tués en 2011 et probablement 30 000 en 2012. Publiée en mars 2013 dans la revue PLoS One, une autre étude révèle que 62 % des éléphants des forêts ont été abattus durant ces dix dernières années. Si ce rythme perdure, ils pourraient disparaitre d\\'Afrique centrale d\\'ici 2025. Les spécialistes affirment qu\\'à terme, si le braconnage ne cesse pas, tous les éléphants du continent seront menacés d\\'extinction.\\n\\nÀ Gembloux Agro-Bio Tech - Université de Liège en Belgique, plusieurs chercheurs avaient déjà fait le même constat pour la population des éléphants de l\\'Afrique de l\\'Ouest. En 40 ans, leur nombre a diminué de moitié.\\nL\\'ONG Save the Elephants estime que le commerce illégal de l\\'ivoire à Hong Kong menace la survie des éléphants, étant donné que le marché de l\\'ivoire en Chine et en Asie du Sud-Est passe en grande partie par Hong Kong.\\n\\n\\n=== Perte d\\'habitat ===\\nL\\'augmentation des risques de conflits d\\'intérêts pour l\\'habitat avec des populations humaines menace la survie de l\\'éléphant. Ce conflit tue 150 éléphants et un peu plus de 100 personnes par an au Sri Lanka. Contrairement à son cousin d\\'Afrique, l\\'éléphant d\\'Asie, possède de petites défenses. La disparition de celui-ci est principalement attribuée à la perte de son habitat. De grands morceaux de forêt disparaissent, ce qui touche profondément leur écosystème. Les arbres contribuent à l\\'ancrage du sol et l\\'absorption des eaux de ruissellement. La déforestation entraine des inondations et une érosion massive. Lorsque la forêt est réduite, les éléphants deviennent une partie du problème, car ils détruisent rapidement la végétation de la zone où ils vivent et éliminent toutes les ressources en nourriture.\\n\\n\\n=== Parcs nationaux ===\\nLa première réserve officielle, Parc national Kruger, est peut-être la plus connue des réserves et celle ayant obtenu le plus grand succès. Cependant, de nombreux problèmes sont apparus depuis sa création. Les clôtures de la réserve ont coupé de nombreux animaux de leur alimentation en hiver ou de leurs zones de reproduction au printemps. Certains animaux sont morts, alors que d\\'autres comme les éléphants ont démoli les clôtures, entraînant des ravages dans les champs voisins. Lorsque les éléphants sont limités à un petit territoire, les dégâts infligés au paysage peuvent être énormes.\\nDe ce fait, certaines réserves, comme le Parc national Kruger, de l\\'avis de certains gestionnaires de faune sauvage, ont souffert de la surpopulation des éléphants, au détriment d\\'autres espèces de la faune dans la réserve. Le 25 février 2008, l\\'Afrique du Sud a annoncé que l\\'abattage pour contrôler le nombre d\\'éléphants, arrêté depuis 1994, reprendrait. Les défenseurs des droits des animaux ont menacé d\\'un appel au boycott par les touristes et à d\\'autres formes d\\'oppositions.\\n\\n\\n=== Utilisation par l\\'Homme ===\\nLes éléphants en captivité (en) sont utilisés ou exhibés dans les cirques, ménageries (tel Abul-Abbas, l\\'éléphant blanc de Charlemagne et Hanno, celui du pape Léon X) et zoos (tel le célèbre Jumbo). On ne peut pas parler à leur égard de domestication car le cycle de vie de l\\'éléphant est trop long pour que cela soit économiquement rentable par rapport à une capture d\\'individus sauvages, la phase précédant la maturité sexuelle de l\\'animal durant plus de 10 ans.\\n\\nUtilisé comme animal de trait par les humains, ainsi que lors de batailles en tant qu\\'éléphant de guerre, l\\'éléphant a occupé de nombreuses fonctions, notamment celle d\\'exécuteur lors d\\'exécutions par éléphant. En 1914-1918, des éléphants de cirque ont en Europe par exemple servi à débarder le bois en forêt (de Mormal, dans le Nord de la France), ou encore à labourer, ou à tirer des wagons dans les usines de munitions.\\nL\\'éléphant peut également être dressé par anéantissement.\\nLe conducteur d\\'un éléphant est appelé cornac ou mahout.\\n\\n\\n=== Expression ===\\n“avoir une mémoire d’éléphant” veut dire que l’on a une très bonne mémoire\\n\\n\\n=== Produits dérivés ===\\n\\nÀ l\\'origine, les éléphants étaient chassés par les hommes pour leur viande.\\nCertaines parties, comme les pieds d\\'éléphants, ou des animaux entiers étaient naturalisés. Les poils et les défenses d\\'ivoire, bien sûr, étaient aussi utilisés. On s\\'en servait pour fabriquer des objets de décoration et en bijouterie, ou bien ils étaient destinés, ainsi que les dents et les ossements, à des cabinets de curiosité ou des museums.\\nL\\'ivoire a longtemps fait l\\'objet d\\'un commerce important qui subsiste encore parfois sous forme de trafic illégal malgré le statut de protection dont bénéficient les éléphants survivants.\\n\\n\\n=== Culture ===\\n\\n\\n==== Symbolique ====\\nDans la symbolique occidentale comme orientale, l\\'éléphant est associé à la mémoire, la sagesse, la longévité, la prospérité, la bienveillance, le père. Pour beaucoup de peuples africains, l\\'éléphant tient le rôle du père, du chef des animaux, du roi.\\n\\n\\n===== Orient =====\\nL\\'éléphant apparaît dans la panthéon hindouiste et bouddhiste à partir du troisième millénaire avant Jésus-Christ, époque de sa domestication.\\nDans la religion hindoue, Ganesh est un dieu à tête d’éléphant ; il est le dieu de la Sagesse et le patron des étudiants. Les rares éléphants blancs sont les plus sacrés en Inde, et les éléphants domestiqués et décorés aux couleurs des dieux bénissent les fidèles de leur trompe dans certains temples.\\nEn Inde, l’éléphant évoque la force, la puissance, l\\'orage (forme ronde et grise des nuages de pluie), et il est sacré. Chaque dieu hindou chevauche un animal : Indra, dieu des Orages et de la Bataille, et Agni, dieu du Feu, se déplacent à dos d’éléphant.\\nAu Laos, passer sous la trompe d\\'un éléphant permet d\\'acquérir ses attributs : force, longévité, fertilité et caractère sacré. Chaque année à l\\'occasion du Nouvel An bouddhique, les cornacs laotiens organisent un baci ou soukhouan, cérémonie de rappel des âmes, pour leur éléphant.\\n\\n\\n===== Islam =====\\nDans le Coran, la 105e sourate (la 19e dans l’ordre chronologique) s\\'intitule Al-Fîl (l’Éléphant). Elle comprend cinq versets révélés à la Mecque et doit son nom à l’expression « ashâb al-fîl » (les gens de l’éléphant) présente dans le tout premier verset. Cette expression désigne les Abyssins, qui occupaient le Yémen voisin, voulaient évangéliser l’Arabie tout entière, notamment en attaquant la Kaaba, à La Mecque. En raison des entraves qu’ils mettaient au pèlerinage, le « ministre du calendrier » dans le gouvernement mecquois se vengea en profanant l’église de Sana\\'a. C’est alors que le gouverneur abyssin fit venir un éléphant de taille gigantesque appelé Mahmoud et dirigea une expédition sur La Mecque.\\n\\n\\n===== Occident =====\\nDans la symbolique chrétienne, l\\'éléphant symbolise le baptême : la femelle met bas dans l\\'eau d\\'un étang à côté duquel le mâle monte la garde pour écarter le dragon, symbole de l\\'esprit du mal.[réf. nécessaire]Dans la symbolique chrétienne, il représente aussi la chasteté (de tempérament frigide, il ne peut engendrer qu\\'après avoir absorbé, en guise d\\'aphrodisiaque, une racine de mandragore), la constance, la maîtrise de soi, la bénignité des princes (il n\\'a pas de fiel), la tempérance, la circonspection et la prudence.[réf. nécessaire]En France, on dit de quelqu\\'un qui a une bonne mémoire qu\\'il a « une mémoire d\\'éléphant » ; effectivement, l\\'éléphant a une excellente mémoire pour se rappeler ses congénères ou retrouver les pistes qu\\'il emprunte chaque année pour chercher sa nourriture. Sa mémoire visuelle lui permet également de se rappeler très longtemps les visages humains[source insuffisante].\\nL\\'éléphant représente les quatre piliers du monde : il porte le monde sur son dos.\\nL\\'éléphant est le symbole de la ville de Catane, en Italie, depuis le Moyen Âge (mais le lien remonte peut-être à l\\'Antiquité). La Fontaine de l\\'éléphant s\\'y dresse sur la place de la cathédrale.\\n\\n\\n===== Afrique =====\\nL\\'éléphant est l\\'emblème de la Côte d\\'Ivoire.\\nL\\'éléphant est symbole de royauté, de puissance et de sagesse et ce en général pour les peuples de tout le continent africain.\\nSon image est utilisée dans les cérémonies et danses, pour la fabrication des masques ou encore de mobiliers, d\\'objets rituels, dans beaucoup de tribus notamment chez les Bamileke de l\\'ouest du Cameroun ou encore chez les Gurusi du Burkina Faso.\\nHors tribus, l\\'éléphant est un symbole important au même titre que le lion et son image est présente au quotidien dans le monde africain.\\n\\n\\n===== Politique =====\\nEn politique, l\\'image de l\\'éléphant a pu être utilisé dans différents pays pour caractériser des courants politiques ou des politiciens : ainsi, l\\'emblème du Parti républicain américain est un éléphant, et certains des membres les plus influents du Parti socialiste français sont surnommés les « éléphants ».\\n\\n\\n===== Art =====\\n\\nDes représentations picturales de l\\'éléphant sont retrouvées en Occident dès le XIIe siècle comme dans le quartier historique de Montferrand sur la « Maison de l\\'Éléphant » (12 rue Kléber).\\nL\\'ivoire des défenses de l\\'éléphant a longtemps servi à la réalisation d\\'œuvres d\\'art. Les œuvres en or et ivoire sont qualifiées de chryséléphantines — chrusos, or en grec. Ce nom a été déformé en olifant, pour désigner une corne (instrument de musique) en ivoire.\\n\\n\\n===== Sport =====\\nEn sport, certaines équipes nationales portent des surnoms à l\\'image de l\\'éléphant :\\n\\nLa Côte d\\'Ivoire : Les éléphants\\nLa Guinée : Le Sily national (L\\'éléphant national)\\nLa Thaïlande : Les éléphants de guerre\\n\\n\\n==== Fiction ====\\n\\nLes éléphants ont inspiré de nombreux artistes. La liste ci-après est loin d\\'être exhaustive.\\n\\nCinéma :\\nLes Racines du ciel (The Roots of Heaven) de John Huston (1958), tiré du roman de Romain Gary.\\nTusk d\\'Alejandro Jodorowsky (1980).\\nChasseur blanc, cœur noir (White Hunter Black Heart) de Clint Eastwood (1990, inspiré par John Huston, chasseur d\\'éléphant sur le tournage de the African Queen en 1950).\\nSunny et l\\'éléphant de Frédéric Lepage, 2008.\\nDe l\\'eau pour les éléphants de Francis Lawrence, 2011, tiré du roman de Sara Gruen.\\nElephant Boy de Robert J. Flaherty en 1937\\nGrimsby : Agent trop spécial de Louis Leterrier (2016), Norman \"Nobby\" Butcher (Sacha Baron Cohen) se cache dans le vagin d\\'une éléphante.\\nDocumentaire\\nL\\'Homme et l’Éléphant de Vijay Singh.\\nDessins animés :\\nDumbo.\\nWinnie l\\'ourson et l\\'Éfélant\\nBabar\\nLittérature :\\nLes Racines du ciel de Romain Gary, Prix Goncourt en 1956.\\nLes Annales du disque-monde de Terry Pratchett (le disque-monde est soutenu par quatre éléphants géants).\\nL\\'Éléphant et le Singe de Jupiter de Jean de La Fontaine.\\nLe Voyage de l\\'éléphant de José Saramago\\nLittérature jeunesse :\\nHistoires comme ça de Rudyard Kipling (L\\'Enfant d\\'éléphant)\\nPoo Lorn l\\'éléphant de Reginald Campbell\\nLe Livre de la jungle de Rudyard Kipling (personnages de Hathi et de Kala Nag).\\nBabar de Laurent de Brunhoff\\nUn éléphant ça compte énormément de Helme Heine\\nLe Mystère de l\\'éléphant bleu de Enid Blyton\\nLa Maison éléphant de Henriette Bichonnier\\n Elmer, l\\'éléphant bariolé de David McKee\\nPomelo, l\\'éléphant rose, texte de Ramona Bádescu, illustrations de Benjamin Chaud : une quinzaine de titres, depuis 2002. Plusieurs de ces titres font partie de la « Bibliothèque jeunesse idéale » du Centre national de la littérature pour la jeunesse (BnF).\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\t\\t\\n\\t\\t\\t\\n\\t\\t\\t\\n\\t\\t\\n\\n\\n== Notes ==\\n\\n\\n== Références ==\\n\\n\\n== Annexes ==\\n\\n\\n=== Bibliographie ===\\nElephants: Majestic Creatures of the Wild, Checkmark Books, 2000 (ISBN 978-0-87596-143-9, OCLC 475147472)\\n\\n\\n=== Articles connexes ===\\nBouse d\\'éléphant\\nIntelligence animale\\nÉléphant de guerre\\nHanno\\nListe d\\'éléphants de fiction\\nOrdre de l’Éléphant\\nMammouphant\\nBraconnage\\nÉléphant rose\\nSamuel Lockhart\\n\\n\\n=== Références taxonomiques ===\\n(en) Référence Mammal Species of the World (3e  éd., 2005) : Elephas maximus  \\n(fr+en) Référence ITIS : genre Loxodonta Cuvier, 1825\\n(en) Référence Animal Diversity Web : Elephas maximus\\n(en) Référence UICN : espèce Elephas maximus Linnaeus, 1758\\n(en) Référence NCBI : genre Loxodonta (taxons inclus)\\n(en) Référence Fonds documentaire ARKive : Loxodonta africana  \\n(en) Référence Fonds documentaire ARKive : Elephas maximus  \\n\\n\\n=== Liens externes ===\\n\\nAnalyse des instruments internationaux de lutte contre le trafic et le braconnage des espèces menacées en Afrique centrale : le cas de l\\'éléphant et du gorille\\n« Physiologie de l\\'éléphant », sur elephants.free.fr\\nUn dossier sur l\\'éléphant chez Futura-Sciences\\n« Chang Nam : La légende des éléphants nains aquatiques en Thaïlande », sur magiedubouddha.com\\n Portail des mammifères'"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            }
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          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EZkmNJ7XO9xX"
      },
      "source": [
        "We need to clean this up a bit. Let us remove all the special characters and keep only 26 letters and space. Note that this will remove accented characters in French also. We are also removing all the numbers and spaces. So this is not an ideal solution."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "e5yf5P9pPI4t"
      },
      "source": [
        "def cleanup(text):\n",
        "  text = text.lower()  # make it lowercase\n",
        "  text = re.sub('[^a-z]+', '', text) # only keep characters\n",
        "  return text"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qrOjC32fRuTK"
      },
      "source": [
        "eng1 = cleanup(eng1)\n",
        "eng2 = cleanup(eng2)\n",
        "fr1 = cleanup(fr1)\n",
        "fr2 = cleanup(fr2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rIdqvL2G-LqL",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "ea4970d4-8307-4a83-adfb-61b751a1a0ec"
      },
      "source": [
        "print(eng1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "thegiraffeisalargeafricanhoofedmammalbelongingtothegenusgiraffaitisthetallestlivingterrestrialanimalandthelargestruminantonearthtraditionallygiraffeswerethoughttobeonespeciesgiraffacamelopardaliswithninesubspeciesmostrecentlyresearchersproposeddividingthemintouptoeightextantspeciesduetonewresearchintotheirmitochondrialandnucleardnaaswellasmorphologicalmeasurementssevenotherextinctspeciesofgiraffaareknownfromthefossilrecordthegiraffeschiefdistinguishingcharacteristicsareitsextremelylongneckandlegsitshornlikeossiconesanditsspottedcoatpatternsitisclassifiedunderthefamilygiraffidaealongwithitsclosestextantrelativetheokapiitsscatteredrangeextendsfromchadinthenorthtosouthafricainthesouthandfromnigerinthewesttosomaliaintheeastgiraffesusuallyinhabitsavannahsandwoodlandstheirfoodsourceisleavesfruitsandflowersofwoodyplantsprimarilyacaciaspecieswhichtheybrowseatheightsmostotherherbivorescannotreachlionsleopardsspottedhyenasandafricanwilddogsmaypreyupongiraffesgiraffesliveinherdsofrelatedfemalesandtheiroffspringorbachelorherdsofunrelatedadultmalesbutaregregariousandmaygatherinlargeaggregationsmalesestablishsocialhierarchiesthroughneckingcombatboutswheretheneckisusedasaweapondominantmalesgainmatingaccesstofemaleswhichbearsoleresponsibilityforrearingtheyoungthegiraffehasintriguedvariousancientandmodernculturesforitspeculiarappearanceandhasoftenbeenfeaturedinpaintingsbooksandcartoonsitisclassifiedbytheinternationalunionforconservationofnatureiucnasvulnerabletoextinctionandhasbeenextirpatedfrommanypartsofitsformerrangegiraffesarestillfoundinnumerousnationalparksandgamereservesbutestimatesasofindicatethereareapproximatelymembersofgiraffainthewildmorethanwerekeptinzoosinetymologythenamegiraffehasitsearliestknownoriginsinthearabicwordzarfahultimatelyfrompersianzurnpacompoundofzurnflutezurnaandpleginearlymodernenglishthespellingsjarrafandziraphwereusedprobablydirectlyfromthearabicandinmiddleenglishjarrafandziraphgerfauntztheitalianformgiraffaaroseinthesthemodernenglishformdevelopedaroundfromthefrenchgirafecamelopardisanarchaicenglishnameforthegiraffeitderivesfromtheancientgreekkamloprdalisfromkmloscamelandprdalisleopardreferringtoitscamellikeshapeandleopardlikecolourationtaxonomyevolutionthegiraffeisoneofonlytwolivinggeneraofthefamilygiraffidaeintheorderartiodactylatheotherbeingtheokapitheyareruminantsofthecladepecoraalongwithantilocapridaepronghornscervidaedeerbovidaecattleantelopegoatsandsheepandmoschidaemuskdeeragenomestudycladogrambelowfindsthatgiraffidaeareasistertaxontoantilocapridaewithanestimatedsplitofovermillionyearsagothefamilygiraffidaewasoncemuchmoreextensivewithoverfossilgeneradescribedtheelongationoftheneckappearstohavestartedearlyinthegiraffelineagecomparisonsbetweengiraffesandtheirancientrelativessuggestvertebraeclosetotheskulllengthenedearlierfollowedbylengtheningofvertebraefurtherdownoneearlygiraffidancestorwascanthumeryxwhichhasbeendatedvariouslytohavelivedmyamyaormyaandwhosedepositshavebeenfoundinlibyathisanimalresembledanantelopeandhadamediumsizedlightlybuiltbodygiraffokeryxappearedmyaontheindiansubcontinentandresembledanokapiorasmallgiraffeandhadalongerneckandsimilarossiconesgiraffokeryxmayhavesharedacladewithmoremassivelybuiltgiraffidslikesivatheriumandbramatheriumgiraffidslikepalaeotragusshansitheriumandsamotheriumappearedmyaandlivedthroughoutafricaandeurasiatheseanimalshadbroaderskullswithreducedfrontalcavitiespaleotragusresembledtheokapiandmayhavebeenitsancestorothersfindthattheokapilineagedivergedearlierbeforegiraffokeryxsamotheriumwasaparticularlyimportanttransitionalfossilinthegiraffelineageasthelengthandstructureofitscervicalvertebraewerebetweenthoseofamoderngiraffeandanokapianditsneckposturewaslikelysimilartotheformersbohliniawhichfirstappearedinsoutheasterneuropeandlivedmyawaslikelyadirectancestorofthegiraffebohliniacloselyresembledmoderngiraffeshavingalongneckandlegsandsimilarossiconesanddentitionbohliniacolonisedchinaandnorthernindiaandproducedthegiraffawhicharoundmyareachedafricaclimatechangesledtotheextinctionoftheasiangiraffeswhiletheafricangiraffessurvivedandradiatedintonewspecieslivinggiraffesappeartohavearisenaroundmyaineasternafricaduringthepleistocenesomebiologistssuggestthemoderngiraffesdescendedfromgjumaeothersfindggracilisamorelikelycandidategjumaewaslargerandmorerobustwhileggraciliswassmallerandmoreslenderthechangesfromextensiveforeststomoreopenhabitatswhichbeganmyaarebelievedtobethemaindriverfortheevolutionofgiraffesduringthistimetropicalplantsdisappearedandwerereplacedbyaridcplantsandadrysavannahemergedacrosseasternandnorthernafricaandwesternindiasomeresearchershavehypothesisedthatthisnewhabitatcoupledwithadifferentdietincludingacaciaspeciesmayhaveexposedgiraffeancestorstotoxinsthatcausedhighermutationratesandahigherrateofevolutionthecoatpatternsofmoderngiraffesmayalsohavecoincidedwiththesehabitatchangesasiangiraffesarehypothesisedtohavehadmoreokapilikecolourationsthegiraffegenomeisaroundbillionbasepairsinlengthcomparedtothebillionbasepairsoftheokapioftheproteinsingiraffeandokapigenesareidenticalthedivergenceofgiraffeandokapilineagesdatestoaroundmyaasmallgroupofregulatorygenesinthegiraffeappeartoberesponsiblefortheanimalsheightandassociatedcirculatoryadaptationsspeciesandsubspeciestheinternationalunionforconservationofnatureiucncurrentlyrecognisesonlyonespeciesofgiraffewithninesubspeciescarllinnaeusoriginallyclassifiedlivinggiraffesasonespeciesinhegaveitthebinomialnamecervuscamelopardalismathurinjacquesbrissoncoinedthegenericnamegiraffainduringthesvarioustaxonomieswithtwoorthreespecieswereproposedastudyonthegeneticsofgiraffesusingmitochondrialdnasuggestedatleastsixlineagescouldberecognisedasspeciesastudyusingdetailedanalysesofthemorphologyofgiraffesandapplicationofthephylogeneticspeciesconceptdescribedeightspeciesoflivinggiraffesastudyalsoconcludedthatlivinggiraffesconsistofmultiplespeciestheresearcherssuggestedtheexistenceoffourspecieswhichhavenotexchangedgeneticinformationbetweeneachotherfortomillionyearsastudyshowedthatdependingonthemethodchosendifferenttaxonomichypothesesrecognizingfromtwotosixspeciescanbeconsideredforthegenusgiraffathatstudyalsofoundthatmultispeciescoalescentmethodscanleadtotaxonomicoversplittingasthosemethodsdelimitgeographicstructuresratherthanspeciesthethreespecieshypothesiswhichrecognisesgcamelopardalisggiraffaandgtippelskirchiishighlysupportedbyphylogeneticanalysesandalsocorroboratedbymostpopulationgeneticandmultispeciescoalescentanalysesawholegenomesequencingstudysuggeststheexistenceoffourdistinctspeciesandsevensubspeciesthecladogrambelowshowsthephylogeneticrelationshipbetweenthefourproposedspeciesandsevensubspeciesbasedonthegenomeanalysisnotetheeightlineagescorrespondtoeightofthetraditionalsubspeciesintheonespecieshypothesistherothschildgiraffeissubsumedintogcamelopardaliscamelopardalisthefollowingtablecomparesthedifferenthypothesesforgiraffespeciesthedescriptioncolumnshowsthetraditionalninesubspeciesintheonespecieshypothesisthefirstextinctspeciestobedescribedwasgiraffasivalensisfalconerandcautleyareevaluationofavertebrathatwasinitiallydescribedasafossilofthelivinggiraffewhiletaxonomicopinionmaybelackingonsomenamestheextinctspeciesthathavebeenpublishedincludegiraffagracilisgiraffajumaegiraffapomeligiraffapriscillagiraffapunjabiensisgiraffapygmaeagiraffasivalensisgiraffastilleicharacteristicsfullygrowngiraffesstandmfttallwithmalestallerthanfemalestheaverageweightiskglbforanadultmaleandkglbforanadultfemaledespiteitslongneckandlegsitsbodyisrelativelyshorttheskinismostlygrayortanandcanreachathicknessofmminthecminlongtailendsinalongdarktuftofhairandisusedasadefenseagainstinsectsthecoathasdarkblotchesorpatcheswhichcanbeorangechestnutbrownornearlyblacksurroundedbylighthairusuallywhiteorcreamcolouredmalegiraffesbecomedarkerastheygrowoldthecoatpatternhasbeenclaimedtoserveascamouflageinthelightandshadepatternsofsavannahwoodlandswhenstandingamongtreesandbushestheyarehardtoseeatevenafewmetresdistancehoweveradultgiraffesmoveabouttogainthebestviewofanapproachingpredatorrelyingontheirsizeandabilitytodefendthemselvesratherthanoncamouflagewhichmaybemoreimportantforcalveseachgiraffehasauniquecoatpatterncalvesinheritsomecoatpatterntraitsfromtheirmothersandvariationinsomespottraitsiscorrelatedwithcalfsurvivaltheskinundertheblotchesmayregulatetheanimalsbodytemperaturebeingsitesforcomplexbloodvesselsystemsandlargesweatglandsthefurmaygivetheanimalchemicaldefenseasitsparasiterepellentsgiveitacharacteristicscentatleastmainaromaticchemicalsareinthefuralthoughindoleandmethylindoleareresponsibleformostofthesmellbecausemaleshaveastrongerodourthanfemalesitmayalsohaveasexualfunctionheadbothsexeshaveprominenthornlikestructurescalledossiconeswhichcanreachcmintheyareformedfromossifiedcartilagecoveredinskinandfusedtotheskullattheparietalbonesbeingvascularisedtheossiconesmayhavearoleinthermoregulationandareusedincombatbetweenmalesappearanceisareliableguidetothesexorageofagiraffetheossiconesoffemalesandyoungarethinanddisplaytuftsofhairontopwhereasthoseofadultmalestendtobebaldandknobbedontopalumpwhichismoreprominentinmalesemergesinthemiddleoftheskullmalesdevelopcalciumdepositsthatformbumpsontheirskullsastheyagemultiplesinuseslightenagiraffesskullhoweverasmalesagetheirskullsbecomeheavierandmoreclublikehelpingthembecomemoredominantincombattheoccipitalcondylesatthebottomoftheskullallowtheanimaltotipitsheadoverdegreesandgrabfoodonthebranchesdirectlyabovethemwiththetonguewitheyeslocatedonthesidesoftheheadthegiraffehasabroadvisualfieldfromitsgreatheightcomparedtootherungulatesgiraffevisionismorebinocularandtheeyesarelargerwithagreaterretinalsurfaceareagiraffesmayseeincolourandtheirsensesofhearingandsmellaresharptheearsaremovableandthenostrilsareslitshapedpossiblytowithstandblowingsandthegiraffestongueisaboutcminlongitisblackperhapstoprotectagainstsunburnandcangraspfoliageanddelicatelypickoffleavestheupperlipisflexibleandhairytoprotectagainstsharppricklestheupperjawhasahardpalateinsteadoffrontteeththemolarsandpremolarsarewidewithlowcrownsonthesurfaceneckthegiraffehasanextremelyelongatedneckwhichcanbeuptomftininlengthalongtheneckisamanemadeofshorterecthairsthenecktypicallyrestsatanangleofdegreesthoughjuvenilesareclosertodegreesthelongneckresultsfromadisproportionatelengtheningofthecervicalvertebraenotfromtheadditionofmorevertebraeeachcervicalvertebraisovercminlongtheycomprisepercentofthelengthofthegiraffesvertebralcolumncomparedwiththepercenttypicalofsimilarlargeungulatesincludingthegiraffesclosestlivingrelativetheokapithiselongationlargelytakesplaceafterbirthperhapsbecausegiraffemotherswouldhaveadifficulttimegivingbirthtoyoungwiththesameneckproportionsasadultsthegiraffesheadandneckareheldupbylargemusclesandanuchalligamentwhichareanchoredbylongthoracicvertebraespinesgivingthemahumpthegiraffesneckvertebraehaveballandsocketjointsthepointofarticulationbetweenthecervicalandthoracicvertebraeofgiraffesisshiftedtoliebetweenthefirstandsecondthoracicvertebraetandtunlikeinmostotherruminantswherethearticulationisbetweentheseventhcervicalvertebracandtthisallowsctocontributedirectlytoincreasednecklengthandhasgivenrisetothesuggestionthattisactuallycandthatgiraffeshaveaddedanextracervicalvertebrahoweverthispropositionisnotgenerallyacceptedasthasothermorphologicalfeaturessuchasanarticulatingribdeemeddiagnosticofthoracicvertebraeandbecauseexceptionstothemammalianlimitofsevencervicalvertebraearegenerallycharacterisedbyincreasedneurologicalanomaliesandmaladiesthereareseveralhypothesesregardingtheevolutionaryoriginandmaintenanceofelongationingiraffeneckscharlesdarwinoriginallysuggestedthecompetingbrowsershypothesiswhichhasbeenchallengedonlyrecentlyitsuggeststhatcompetitivepressurefromsmallerbrowserslikekudusteenbokandimpalaencouragedtheelongationoftheneckasitenabledgiraffestoreachfoodthatcompetitorscouldnotthisadvantageisrealasgiraffescananddofeeduptomfthighwhileevenquitelargecompetitorssuchaskuducanfeeduptoonlyaboutmftinhighthereisalsoresearchsuggestingthatbrowsingcompetitionisintenseatlowerlevelsandgiraffesfeedmoreefficientlygainingmoreleafbiomasswitheachmouthfulhighinthecanopyhoweverscientistsdisagreeaboutjusthowmuchtimegiraffesspendfeedingatlevelsbeyondthereachofotherbrowsersandastudyfoundthatadultgiraffeswithlongernecksactuallysufferedhighermortalityratesunderdroughtconditionsthantheirshorterneckedcounterpartsthisstudysuggeststhatmaintainingalongerneckrequiresmorenutrientswhichputslongerneckedgiraffesatriskduringafoodshortageanothertheorythesexualselectionhypothesisproposesthelongnecksevolvedasasecondarysexualcharacteristicgivingmalesanadvantageinneckingcontestsseebelowtoestablishdominanceandobtainaccesstosexuallyreceptivefemalesinsupportofthistheorynecksarelongerandheavierformalesthanfemalesofthesameageandmalesdonotemployotherformsofcombathoweveroneobjectionisitfailstoexplainwhyfemalegiraffesalsohavelongnecksithasalsobeenproposedthattheneckservestogivetheanimalgreatervigilancelegslocomotionandpostureagiraffesfrontandbacklegsareaboutthesamelengththeradiusandulnaofthefrontlegsarearticulatedbythecarpuswhichwhilestructurallyequivalenttothehumanwristfunctionsasakneeitappearsthatasuspensoryligamentallowsthelankylegstosupporttheanimalsgreatweightthehoovesoflargemalegiraffesreachcmcmininindiameterthefetlockofthelegislowtothegroundallowingthehooftobettersupporttheanimalsweightgiraffeslackdewclawsandinterdigitalglandswhilethepelvisisrelativelyshorttheiliumhasstretchedoutcrestsagiraffehasonlytwogaitswalkingandgallopingwalkingisdonebymovingthelegsononesideofthebodythendoingthesameontheothersidewhengallopingthehindlegsmovearoundthefrontlegsbeforethelattermoveforwardandthetailwillcurlupthemovementsoftheheadandneckprovidebalanceandcontrolmomentumwhilegallopingthegiraffecanreachasprintspeedofuptokmhmphandcansustainkmhmphforseveralkilometresgiraffeswouldprobablynotbecompetentswimmersastheirlonglegswouldbehighlycumbersomeinthewateralthoughtheymightbeabletofloatwhenswimmingthethoraxwouldbeweigheddownbythefrontlegsmakingitdifficultfortheanimaltomoveitsneckandlegsinharmonyorkeepitsheadabovethewaterssurfaceagirafferestsbylyingwithitsbodyontopofitsfoldedlegstoliedowntheanimalkneelsonitsfrontlegsandthenlowerstherestofitsbodytogetbackupitfirstgetsonitsfrontkneesandpositionsitsbacksideontopofitshindlegsitthenpullsupthebacksideupwardsandthefrontlegsstandstraightupagainateachstagetheanimalswingsitsheadforbalanceifthegiraffewantstoreachdowntodrinkiteitherspreadsitsfrontlegsorbendsitskneesstudiesincaptivityfoundthegiraffesleepsintermittentlyaroundhoursperdaymostlyatnightitusuallysleepslyingdownhoweverstandingsleepshavebeenrecordedparticularlyinolderindividualsintermittentshortdeepsleepphaseswhilelyingarecharacterisedbythegiraffebendingitsneckbackwardsandrestingitsheadonthehiporthighapositionbelievedtoindicateparadoxicalsleepinternalsystemsinmammalstheleftrecurrentlaryngealnerveislongerthantherightinthegiraffeitisovercminlongerthesenervesarelongerinthegiraffethaninanyotherlivinganimaltheleftnerveisovermftinlongeachnervecellinthispathbeginsinthebrainstemandpassesdowntheneckalongthevagusnervethenbranchesoffintotherecurrentlaryngealnervewhichpassesbackupthenecktothelarynxthusthesenervecellshavealengthofnearlymftinthelargestgiraffesdespiteitslongneckandlargeskullthebrainofthegiraffeistypicalforanungulateevaporativeheatlossinthenasalpassageskeepthegiraffesbraincooltheshapeoftheskeletongivesthegiraffeasmalllungvolumerelativetoitsmassitslongneckgivesitalargeamountofdeadspaceinspiteofitsnarrowwindpipethegiraffealsohasahightidalvolumesothebalanceofdeadspaceandtidalvolumeismuchthesameasothermammalstheanimalcanstillprovideenoughoxygenforitstissuesanditcanincreaseitsrespiratoryrateandoxygendiffusionwhenrunningthegiraffescirculatorysystemhasseveraladaptationstocompensateforitsgreatheightitskglbandcmftheartmustgenerateapproximatelydoublethebloodpressurerequiredforahumantomaintainbloodflowtothebrainassuchthewalloftheheartcanbeasthickascmingiraffeshaverelativelyhighheartratesfortheirsizeatbeatsperminutewhentheanimallowersitsheadthebloodrushesdownfairlyunopposedandaretemirabileintheupperneckwithitslargecrosssectionalareapreventsexcessbloodflowtothebrainwhenitraisesagainthebloodvesselsconstrictandpushbloodintothebrainsotheanimaldoesnotfaintthejugularveinscontainseveralmostcommonlysevenvalvestopreventbloodflowingbackintotheheadfromtheinferiorvenacavaandrightatriumwhiletheheadisloweredconverselythebloodvesselsinthelowerlegsareundergreatpressurebecauseoftheweightoffluidpressingdownonthemtosolvethisproblemtheskinofthelowerlegsisthickandtightpreventingtoomuchbloodfrompouringintothemgiraffeshaveoesophagealmusclesthatarestrongenoughtoallowregurgitationoffoodfromthestomachuptheneckandintothemouthforruminationtheyhavefourchamberedstomachswhichareadaptedtotheirspecializeddiettheintestinesofanadultgiraffemeasuremorethanmftinlengthandhavearelativelysmallratioofsmalltolargeintestinethegiraffehasasmallcompactliverinfetusestheremaybeasmallgallbladderthatvanishesbeforebirthbehaviourandecologyhabitatandfeedinggiraffesusuallyinhabitsavannahsandopenwoodlandstheypreferareasdominatedbyacacieaecommiphoracombretumandterminaliatreeoverbrachystegiawhicharemoredenselyspacedtheangolangiraffecanbefoundindesertenvironmentsgiraffesbrowseonthetwigsoftreespreferringthoseofthesubfamilyacacieaeandthegeneracommiphoraandterminaliawhichareimportantsourcesofcalciumandproteintosustainthegiraffesgrowthratetheyalsofeedonshrubsgrassandfruitagiraffeeatsaroundkglbofplantmatterdailywhenstressedgiraffesmaychewonlargebranchesstrippingthemofbarkgiraffesarealsorecordedtochewoldbonesduringthewetseasonfoodisabundantandgiraffesaremorespreadoutwhileduringthedryseasontheygatheraroundtheremainingevergreentreesandbushesmotherstendtofeedinopenareaspresumablytomakeiteasiertodetectpredatorsalthoughthismayreducetheirfeedingefficiencyasaruminantthegiraffefirstchewsitsfoodthenswallowsitforprocessingandthenvisiblypassesthehalfdigestedcuduptheneckandbackintothemouthtochewagainthegirafferequireslessfoodthanmanyotherherbivoresbecausethefoliageiteatshasmoreconcentratednutrientsandithasamoreefficientdigestivesystemtheanimalsfaecescomeintheformofsmallpelletswhenithasaccesstowateragiraffewillgonomorethanthreedayswithoutdrinkinggiraffeshaveagreateffectonthetreesthattheyfeedondelayingthegrowthofyoungtreesforsomeyearsandgivingwaistlinestotootalltreesfeedingisatitshighestduringthefirstandlasthoursofdaytimebetweenthesehoursgiraffesmostlystandandruminateruminationisthedominantactivityduringthenightwhenitismostlydonelyingdownsociallifegiraffesareusuallyfoundingroupsthatvaryinsizeandcompositionaccordingtoecologicalanthropogenictemporalandsocialfactorstraditionallythecompositionofthesegroupshadbeendescribedasopenandeverchangingforresearchpurposesagrouphasbeendefinedasacollectionofindividualsthatarelessthanakilometreapartandmovinginthesamegeneraldirectionmorerecentstudieshavefoundthatgiraffeshavelonglastingsocialgroupsorcliquesbasedonkinshipsexorotherfactorsandthesegroupsregularlyassociatewithothergroupsinlargercommunitiesorsubcommunitieswithinafissionfusionsocietyproximitytohumanscandisruptsocialarrangementsmasaigiraffesintanzaniasortthemselvesintodifferentsubpopulationsofadultfemaleswithoverlappingrangeseachofwhichdifferinreproductiveratesandcalfmortalitydispersalismalebiasedandcanincludespatialandorsocialdispersaladultfemalesubpopulationsareconnectedbymalesintosupercommunitiesofaroundanimalsthenumberofgiraffesinagroupcanrangefromoneuptoindividualsgiraffegroupstendtobesexsegregatedalthoughmixedsexgroupsmadeofadultfemalesandyoungmalesalsooccurfemalegroupsmaybematrilineallyrelatedgenerallyfemalesaremoreselectivethanmalesinwhotheyassociatewithregardingindividualsofthesamesexparticularlystablegiraffegroupsarethosemadeofmothersandtheiryoungwhichcanlastweeksormonthsyoungmalesalsoformgroupsandwillengageinplayfightshoweverastheygetoldermalesbecomemoresolitarybutmayalsoassociateinpairsorwithfemalegroupsgiraffesarenotterritorialbuttheyhavehomerangesthatvaryaccordingtorainfallandproximitytohumansettlementsmalegiraffesoccasionallyroamfarfromareasthattheynormallyfrequentearlybiologistssuggestedgiraffesweremuteandunabletocreateenoughairflowtovibratetheirvocalfoldstothecontrarytheyhavebeenrecordedtocommunicateusingsnortssneezescoughssnoreshissesburstsmoansgruntsgrowlsandflutelikesoundsduringcourtshipmalesemitloudcoughsfemalescalltheiryoungbybellowingcalveswillemitbleatsmooingandmewingsoundssnortingandhissingisassociatedwithvigilanceduringnighttimegiraffesappeartohumtoeachotherthereissomeevidencethatgiraffesusehelmholtzresonancetocreateinfrasoundtheyalsocommunicatewithbodylanguagedominantmalesdisplaytoothermaleswithanerectpostureholdingthechinandheadupwhilewalkingstifflyanddisplayingtheirsidethelessdominantshowsubmissivenessbydroppingtheheadandearsloweringthechinandfleeingreproductionandparentalcarereproductioningiraffesisbroadlypolygamousafewoldermalesmatewiththefertilefemalesfemalescanreproducethroughouttheyearandexperienceoestruscyclingapproximatelyeverydaysfemalegiraffesinoestrousaredispersedoverspaceandtimesoreproductiveadultmalesadoptastrategyofroamingamongfemalegroupstoseekmatingopportunitieswithperiodichormoneinducedruttingbehaviourapproximatelyeverytwoweeksmalespreferyoungadultfemalesoverjuvenilesandolderadultsmalegiraffesassessfemalefertilitybytastingthefemalesurinetodetectoestrusinamultistepprocessknownastheflehmenresponseonceanoestrousfemaleisdetectedthemalewillattempttocourtherwhencourtingdominantmaleswillkeepsubordinateonesatbayacourtingmalemaylickafemalestaillayhisheadandneckonherbodyornudgeherwithhisossiconesduringcopulationthemalestandsonhishindlegswithhisheadheldupandhisfrontlegsrestingonthefemalessidesgiraffegestationlastsdaysafterwhichasinglecalfisnormallybornalthoughtwinsoccuronrareoccasionsthemothergivesbirthstandingupthecalfemergesheadandfrontlegsfirsthavingbrokenthroughthefetalmembranesandfallstothegroundseveringtheumbilicalcordanewborngiraffeismfttallwithinafewhoursofbirththecalfcanrunaroundandisalmostindistinguishablefromaoneweekoldhoweverforthefirstonetothreeweeksitspendsmostofitstimehidingitscoatpatternprovidingcamouflagetheossiconeswhichhavelainflatinthewombraiseupinafewdaysmotherswithcalveswillgatherinnurseryherdsmovingorbrowsingtogethermothersinsuchagroupmaysometimesleavetheircalveswithonefemalewhiletheyforageanddrinkelsewherethisisknownasacalvingpoolcalvesareatriskofpredationandamothergiraffewillstandoverthemandkickatanapproachingpredatorfemaleswatchingcalvingpoolswillonlyalerttheirownyoungiftheydetectadisturbancealthoughtheotherswilltakenoticeandfollowallosuckingwhereacalfwillsuckleafemaleotherthanitsmotherhasbeenrecordedinbothwildandcaptivegiraffescalvesfirstruminateatfourtosixmonthsandstopnursingatsixtoeightmonthsyoungmaynotreachindependenceuntiltheyaremonthsoldfemalesbecomesexuallymaturewhentheyarefouryearsoldwhilemalesbecomematureatfourorfiveyearsspermatogenesisinmalegiraffesbeginsatthreetofouryearsofagemalesmustwaituntiltheyareatleastsevenyearsoldtogaintheopportunitytomateneckingmalegiraffesusetheirnecksasweaponsincombatabehaviourknownasneckingneckingisusedtoestablishdominanceandmalesthatwinneckingboutshavegreaterreproductivesuccessthisbehaviouroccursatloworhighintensityinlowintensityneckingthecombatantsrubandleanoneachotherthemalethatcankeepitselfmoreuprightwinstheboutinhighintensityneckingthecombatantswillspreadtheirfrontlegsandswingtheirnecksateachotherattemptingtolandblowswiththeirossiconesthecontestantswilltrytododgeeachothersblowsandthenpreparetocounterthepowerofablowdependsontheweightoftheskullandthearcoftheswinganeckingduelcanlastmorethanhalfanhourdependingonhowwellmatchedthecombatantsarealthoughmostfightsdonotleadtoseriousinjurytherehavebeenrecordsofbrokenjawsbrokennecksandevendeathsafteraduelitiscommonfortwomalegiraffestocaressandcourteachothersuchinteractionsbetweenmaleshavebeenfoundtobemorefrequentthanheterosexualcouplinginonestudyuptopercentofobservedmountingincidentstookplacebetweenmalestheproportionofsamesexactivitiesvariedfromtopercentonlyonepercentofsamesexmountingincidentsoccurredbetweenfemalesmortalityandhealthgiraffeshavehighadultsurvivalprobabilityandanunusuallylonglifespancomparedtootherruminantsuptoyearsadultfemalesurvivalissignificantlycorrelatedwiththenumberofsocialassociationsbecauseoftheirsizeeyesightandpowerfulkicksadultgiraffesaremostlysafefrompredationwithlionsbeingtheironlymajorthreatscalvesaremuchmorevulnerablethanadultsandarealsopreyedonbyleopardsspottedhyenasandwilddogsaquartertoahalfofgiraffecalvesreachadulthoodcalfsurvivalvariesaccordingtotheseasonofbirthwithcalvesbornduringthedryseasonhavinghighersurvivalratesthelocalseasonalpresenceoflargeherdsofmigratorywildebeestsandzebrasreducespredationpressureongiraffecalvesandincreasestheirsurvivalprobabilityinturnithasbeensuggestedthatotherungulatesmaybenefitfromassociatingwithgiraffesastheirheightallowsthemtospotpredatorsfromfurtherawayzebraswerefoundtoassesspredationriskbywatchinggiraffesandspendlesstimelookingaroundwhengiraffesarepresentsomeparasitesfeedongiraffestheyareoftenhostsforticksespeciallyintheareaaroundthegenitalswhichhavethinnerskinthanotherareastickspeciesthatcommonlyfeedongiraffesarethoseofgenerahyalommaamblyommaandrhipicephalusgiraffesmayrelyonredbilledandyellowbilledoxpeckerstocleanthemofticksandalertthemtodangergiraffeshostnumerousspeciesofinternalparasitesandaresusceptibletovariousdiseasestheywerevictimsofthenoweradicatedviralillnessrinderpestgiraffescanalsosufferfromaskindisorderwhichcomesintheformofwrinkleslesionsorrawfissuresasmuchasofgiraffeshavesymptomsofthediseaseinruahanationalparkbutitdidnotcausemortalityintarangireandislessprevalentinareaswithfertilesoilshumanrelationsculturalsignificancewithitslankybuildandspottedcoatthegiraffehasbeenasourceoffascinationthroughouthumanhistoryanditsimageiswidespreadincultureithasrepresentedflexibilityfarsightednessfemininityfragilitypassivitygracebeautyandthecontinentofafricaitselfgiraffesweredepictedinartthroughouttheafricancontinentincludingthatofthekiffiansegyptiansandkushitesthekiffianswereresponsibleforalifesizerockengravingoftwogiraffesdatedyearsagothathasbeencalledtheworldslargestrockartpetroglyphhowthegiraffegotitsheighthasbeenthesubjectofvariousafricanfolktalesthetugenpeopleofmodernkenyausedthegiraffetodepicttheirgodmdatheegyptiansgavethegiraffeitsownhieroglyphsrinoldegyptianandmmyinlaterperiodsgiraffeshaveapresenceinmodernwesternculturesalvadordaldepictedthemwithburningmanesinsomeofhissurrealistpaintingsdaliconsideredthegiraffetobeamasculinesymbolandaflaminggiraffewasmeanttobeamasculinecosmicapocalypticmonsterseveralchildrensbooksfeaturethegiraffeincludingdavidaufersthegiraffewhowasafraidofheightsgilesandreaesgiraffescantdanceandroalddahlsthegiraffeandthepellyandmegiraffeshaveappearedinanimatedfilmsasminorcharactersindisneysthelionkinganddumboandinmoreprominentrolesinthewildandthemadagascarfilmssophiethegiraffehasbeenapopularteethersinceanotherfamousfictionalgiraffeisthetoysrusmascotgeoffreythegiraffethegiraffehasalsobeenusedforsomescientificexperimentsanddiscoveriesscientistshaveusedthepropertiesofgiraffeskinasamodelforastronautandfighterpilotsuitsbecausethepeopleintheseprofessionsareindangerofpassingoutifbloodrushestotheirlegscomputerscientistshavemodeledthecoatpatternsofseveralsubspeciesusingreactiondiffusionmechanismstheconstellationofcamelopardalisintroducedintheseventeenthcenturydepictsagiraffethetswanapeopleofbotswanatraditionallyseetheconstellationcruxastwogiraffesacruxandmimosaformingamaleandgacruxanddeltacrucisformingthefemalecaptivitytheegyptianswereamongtheearliestpeopletokeepgiraffesincaptivityandshippedthemaroundthemediterraneanthegiraffewasamongthemanyanimalscollectedanddisplayedbytheromansthefirstoneinromewasbroughtinbyjuliuscaesarinbcwiththefallofthewesternromanempirethehousingofgiraffesineuropedeclinedduringthemiddleagesgiraffeswereknowntoeuropeansthroughcontactwiththearabswhoreveredthegiraffeforitspeculiarappearanceindividualcaptivegiraffesweregivencelebritystatusthroughouthistoryinagiraffefrommalindiwastakentochinabyexplorerzhengheandplacedinamingdynastyzootheanimalwasasourceoffascinationforthechinesepeoplewhoassociateditwiththemythicalqilinthemedicigiraffewasagiraffepresentedtolorenzodemediciinitcausedagreatstironitsarrivalinflorencezarafaanotherfamousgiraffewasbroughtfromegypttoparisintheearlythcenturyasagiftforcharlesxoffranceasensationthegiraffewasthesubjectofnumerousmemorabiliaorgiraffanaliagiraffeshavebecomepopularattractionsinmodernzoosthoughkeepingthemhealthyisdifficultastheyrequirevastareasandneedtoeatlargeamountsofbrowsecaptivegiraffesinnorthamericaandeuropeappeartohaveahighermortalityratethaninthewildthemostcommoncausesbeingpoorhusbandrynutritionandmanagementgiraffesinzoosdisplaystereotypicalbehavioursparticularlythelickingofinanimateobjectsandpacingzookeepersmayoffervariousactivitiestostimulategiraffesincludingtrainingthemtotakefoodfromvisitorsstablesforgiraffesarebuiltparticularlyhightoaccommodatetheirheightexploitationgiraffeswereprobablycommontargetsforhuntersthroughoutafricadifferentpartsoftheirbodieswereusedfordifferentpurposestheirmeatwasusedforfoodthetailhairsservedasflyswattersbraceletsnecklacesandthreadsshieldssandalsanddrumsweremadeusingtheskinandthestringsofmusicalinstrumentswerefromthetendonsinbugandathesmokeofburninggiraffeskinwastraditionallyusedtotreatnosebleedsthehumrpeopleofkordofanconsumethedrinkummnyolokhwhichispreparedfromtheliverandbonemarrowofgiraffesrichardrudgleyhypothesisedthatummnyolokhmightcontaindmtthedrinkissaidtocausehallucinationsofgiraffesbelievedtobethegiraffesghostsbythehumrconservationstatusingiraffeswereassessedasvulnerablefromaconservationperspectivebytheiucninitwasestimatedthereweregiraffesinthewildthisdeclinedtooverinestimatesasofindicatethereareapproximatelymembersofgiraffainthewildthemasaiandreticulatedsubspeciesareendangeredandtherothschildsubspeciesisnearthreatenedthenubiansubspeciesiscriticallyendangeredtheprimarycausesforgiraffepopulationdeclinesarehabitatlossanddirectkillingforbushmeatmarketsgiraffeshavebeenextirpatedfrommuchoftheirhistoricrangeincludingeritreaguineamauritaniaandsenegaltheymayalsohavedisappearedfromangolamaliandnigeriabuthavebeenintroducedtorwandaandeswatiniasofthereweremorethanincaptivityatspeciesregisteredzooshabitatdestructionhashurtthegiraffeinthesaheltheneedforfirewoodandgrazingroomforlivestockhasledtodeforestationnormallygiraffescancoexistwithlivestocksincetheyavoiddirectcompetitionbyfeedingabovetheminseveredroughtsinnorthernkenyaledtoincreasedtensionsoverlandandthekillingofwildlifebyherderswithgiraffepopulationsbeingparticularlyhitprotectedareaslikenationalparksprovideimportanthabitatandantipoachingprotectiontogiraffepopulationscommunitybasedconservationeffortsoutsidenationalparksarealsoeffectiveatprotectinggiraffesandtheirhabitatsprivategamereserveshavecontributedtothepreservationofgiraffepopulationsineasternandsouthernafricathegiraffeisaprotectedspeciesinmostofitsrangeitisthenationalanimaloftanzaniaandisprotectedbylawandunauthorisedkillingcanresultinimprisonmenttheunbackedconventionofmigratoryspeciesselectedgiraffesforprotectioniningiraffeswerelistedunderappendixiioftheconventiononinternationaltradeinendangeredspeciesciteswhichmeansinternationaltradeincludinginpartsderivativesisregulatedtranslocationsaresometimesusedtoaugmentorreestablishdiminishedorextirpatedpopulationsbuttheseactivitiesareriskyanddifficulttoundertakeusingthebestpracticesofextensivepreandposttranslocationstudiesandensuringaviablefoundingpopulationaerialsurveyisthemostcommonmethodofmonitoringgiraffepopulationtrendsinthevastroadlesstractsofafricanlandscapesbutaerialmethodsareknowntoundercountgiraffesgroundbasedsurveymethodsaremoreaccurateandcanbeusedinconjunctionwithaerialsurveystomakeaccurateestimatesofpopulationsizesandtrendsseealsofaunaofafricagiraffecentregiraffemanorhotelinnairobiwithgiraffesreferencesexternallinksofficialwebsiteofthegiraffeconservationfoundation\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jXFTWwd0rk63"
      },
      "source": [
        "Now let us calculate the frequency of the character n-grams. N-grams are groups of characters of size n. A unigram is a single character and a bigram is a group of two characters and so on.\n",
        "\n",
        "Let us count the frequency of each character in a text and plot it in a histogram."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g3Lz3YUjN0L5"
      },
      "source": [
        "# convert a tuple of characters to a string\n",
        "def tuple2string(tup):\n",
        "  st = ''\n",
        "  for ii in tup:\n",
        "    st = st + ii\n",
        "  return st\n",
        "\n",
        "# convert a tuple of tuples to a list of strings\n",
        "def key2string(keys):\n",
        "  return [tuple2string(i) for i in keys]\n",
        "\n",
        "# plot the histogram\n",
        "def plothistogram(ngram):\n",
        "  keys = key2string(ngram.keys())\n",
        "  values = list(ngram.values())\n",
        "\n",
        "  # sort the keys in alphabetic order\n",
        "  combined = zip(keys, values)\n",
        "  zipped_sorted = sorted(combined, key=lambda x: x[0])\n",
        "  keys, values = map(list, zip(*zipped_sorted))\n",
        "  plt.bar(keys, values)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zHD62zbZcwAB"
      },
      "source": [
        "Let us compare the histograms of English pages and French pages. Can you spot a difference?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LKcGRgH6b0KP",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 887
        },
        "outputId": "c68ffc3e-a96d-40fe-eba5-047de0dd8209"
      },
      "source": [
        "unigram_eng1 = Counter(ngrams(eng1,1))\n",
        "plothistogram(unigram_eng1)\n",
        "plt.title('English 1')\n",
        "plt.show()\n",
        "unigram_eng2 = Counter(ngrams(eng2,1))\n",
        "plothistogram(unigram_eng2)\n",
        "plt.title('English 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fDM_UhCL2QLt",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 887
        },
        "outputId": "09bea465-03ca-44d7-d559-9de930c806f7"
      },
      "source": [
        "unigram_fr1 = Counter(ngrams(fr1,1))\n",
        "plothistogram(unigram_eng1)\n",
        "plt.title('French 1')\n",
        "plt.show()\n",
        "unigram_fr2 = Counter(ngrams(fr2,1))\n",
        "plothistogram(unigram_fr2)\n",
        "plt.title('French 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kxgrdZLKdkAB"
      },
      "source": [
        "We can see that the unigrams for French and English are very similar. So this is not a good feature if we want to distinguish between English and French. Let us look at bigrams."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OmRCxItx2T9W",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "e1b2562e-88e3-4fd3-e03c-602bef504b72"
      },
      "source": [
        "bigram_eng1 = Counter(ngrams(eng1,2)) # bigrams\n",
        "plothistogram(bigram_eng1)\n",
        "plt.title('English 1')\n",
        "plt.show()\n",
        "\n",
        "bigram_eng2 = Counter(ngrams(eng2,2))\n",
        "plothistogram(bigram_eng2)\n",
        "plt.title('English 2')\n",
        "plt.show()\n",
        "\n",
        "bigram_fr1 = Counter(ngrams(fr1,2))\n",
        "plothistogram(bigram_eng1)\n",
        "plt.title('French 1')\n",
        "plt.show()\n",
        "\n",
        "bigram_fr2 = Counter(ngrams(fr2,2))\n",
        "plothistogram(bigram_fr2)\n",
        "plt.title('French 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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XXXfddbrjjju0Y8cObdmyRVOmTNHYsWOVnJwsSRo3bpwiIyM1ceJE5eTkaM2aNfrDH/6g6dOnB2zFAQCAuep9D8zHH3+sn/70p/Zjb6gYP368VqxYoXvvvVenT5/WpEmTdPLkSV155ZVav369WrRoYT9n1apVmjJliq655ho5nU6NGTNGixcvtqd7PB698847mjx5snr37q3WrVtr9uzZPt8VAwAAmi+HZVlWsItoCIWFhfJ4PCooKJDb7Q5qLR1nvKkDjwwLag0A0NRxrm0a6vr6zW8hAQAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGCfgAebs2bN64IEH1KlTJ0VFRenCCy/UQw89JMuy7DaWZWn27Nlq27atoqKilJGRoS+//NJnPsePH1dmZqbcbrdiY2M1ceJEFRUVBbpcAABgoIAHmEcffVTPPvusnnnmGe3du1ePPvqoFi5cqKefftpus3DhQi1evFjLli3T9u3bFR0draFDh+rMmTN2m8zMTOXk5GjDhg1at26dNm/erEmTJgW6XAAAYKDwQM9w69atGjlypIYNGyZJ6tixo1555RXt2LFD0o9XXxYtWqRZs2Zp5MiRkqSXX35ZiYmJeuONNzR27Fjt3btX69ev186dO9WnTx9J0tNPP60bbrhBjz/+uJKTk6sst7i4WMXFxfbjwsLCQK8aAAAIEQG/AnPFFVdo48aN+sc//iFJ+vvf/66PPvpI119/vSRp//79ys3NVUZGhv0cj8ej/v37KysrS5KUlZWl2NhYO7xIUkZGhpxOp7Zv3+53uQsWLJDH47GHlJSUQK8aAAAIEQG/AjNjxgwVFhaqS5cuCgsL09mzZzV//nxlZmZKknJzcyVJiYmJPs9LTEy0p+Xm5qpNmza+hYaHKz4+3m5T2cyZMzV9+nT7cWFhISEGAIAmKuAB5n/+53+0atUqrV69Wt27d9fu3bs1bdo0JScna/z48YFenM3lcsnlcjXY/AEAQOgIeIC55557NGPGDI0dO1aS1LNnTx08eFALFizQ+PHjlZSUJEnKy8tT27Zt7efl5eUpLS1NkpSUlKT8/Hyf+ZaVlen48eP28wEAQPMV8Htgvv/+ezmdvrMNCwtTeXm5JKlTp05KSkrSxo0b7emFhYXavn270tPTJUnp6ek6efKksrOz7TabNm1SeXm5+vfvH+iSAQCAYQJ+BWbEiBGaP3++OnTooO7du2vXrl168skndfvtt0uSHA6Hpk2bpnnz5qlz587q1KmTHnjgASUnJ2vUqFGSpK5du+q6667THXfcoWXLlqm0tFRTpkzR2LFj/X4CCQAANC8BDzBPP/20HnjgAf32t79Vfn6+kpOT9etf/1qzZ8+229x77706ffq0Jk2apJMnT+rKK6/U+vXr1aJFC7vNqlWrNGXKFF1zzTVyOp0aM2aMFi9eHOhyAQCAgRxWxa/IbUIKCwvl8XhUUFAgt9sd1Fo6znhTBx4ZFtQaAKCp41zbNNT19ZvfQgIAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgYJSOM94MdgkAgBBAgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGBiHG3kBAAQYAABgHAIMAKAKrnQi1BFgAACAcQgwAADAOAQYoJFxaR4Azh8BBgAAGKdBAsyRI0d0yy23KCEhQVFRUerZs6c+/vhje7plWZo9e7batm2rqKgoZWRk6Msvv/SZx/Hjx5WZmSm3263Y2FhNnDhRRUVFDVEuAAAwTMADzIkTJzRw4EBFRETorbfe0ueff64nnnhCcXFxdpuFCxdq8eLFWrZsmbZv367o6GgNHTpUZ86csdtkZmYqJydHGzZs0Lp167R582ZNmjQp0OUCAAADhQd6ho8++qhSUlL00ksv2eM6depk/9+yLC1atEizZs3SyJEjJUkvv/yyEhMT9cYbb2js2LHau3ev1q9fr507d6pPnz6SpKefflo33HCDHn/8cSUnJ1dZbnFxsYqLi+3HhYWFgV41AAAQIgJ+BeYvf/mL+vTpo1/+8pdq06aNLrvsMj333HP29P379ys3N1cZGRn2OI/Ho/79+ysrK0uSlJWVpdjYWDu8SFJGRoacTqe2b9/ud7kLFiyQx+Oxh5SUlECvGgAACBEBDzBff/21nn32WXXu3Flvv/22fvOb3+h3v/udVq5cKUnKzc2VJCUmJvo8LzEx0Z6Wm5urNm3a+EwPDw9XfHy83aaymTNnqqCgwB4OHz4c6FUD0ED4ZBaA+gr4W0jl5eXq06ePHn74YUnSZZddps8++0zLli3T+PHjA704m8vlksvlarD5AwCA0BHwKzBt27ZVt27dfMZ17dpVhw4dkiQlJSVJkvLy8nza5OXl2dOSkpKUn5/vM72srEzHjx+32wAAgOYr4AFm4MCB2rdvn8+4f/zjH0pNTZX04w29SUlJ2rhxoz29sLBQ27dvV3p6uiQpPT1dJ0+eVHZ2tt1m06ZNKi8vV//+/QNdMgAAMEzA30K6++67dcUVV+jhhx/WjTfeqB07dmj58uVavny5JMnhcGjatGmaN2+eOnfurE6dOumBBx5QcnKyRo0aJenHKzbXXXed7rjjDi1btkylpaWaMmWKxo4d6/cTSAAAoHkJ+BWYvn37au3atXrllVfUo0cPPfTQQ1q0aJEyMzPtNvfee6/uuusuTZo0SX379lVRUZHWr1+vFi1a2G1WrVqlLl266JprrtENN9ygK6+80g5BANAYuLkYCF0BvwIjScOHD9fw4cOrne5wODR37lzNnTu32jbx8fFavXp1Q5QHAAAMx28hAQAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYNDoOs54M9glAAAMR4ABAADGIcA0IK40AADQMAgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAkCfqUaAIDzQ4ABADQZ/IHYfBBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGCcBg8wjzzyiBwOh6ZNm2aPO3PmjCZPnqyEhATFxMRozJgxysvL83neoUOHNGzYMLVs2VJt2rTRPffco7KysoYuFwAAGKBBA8zOnTv1xz/+UZdeeqnP+Lvvvlt//etf9dprr+mDDz7Q0aNHNXr0aHv62bNnNWzYMJWUlGjr1q1auXKlVqxYodmzZzdkuQAAwBANFmCKioqUmZmp5557TnFxcfb4goICvfDCC3ryySd19dVXq3fv3nrppZe0detWbdu2TZL0zjvv6PPPP9ef/vQnpaWl6frrr9dDDz2kJUuWqKSkxO/yiouLVVhY6DMAAICmqcECzOTJkzVs2DBlZGT4jM/OzlZpaanP+C5duqhDhw7KysqSJGVlZalnz55KTEy02wwdOlSFhYXKycnxu7wFCxbI4/HYQ0pKSgOsFYDmquOMN4NdAoAKGiTAvPrqq/rkk0+0YMGCKtNyc3MVGRmp2NhYn/GJiYnKzc2121QML97p3mn+zJw5UwUFBfZw+PDhAKwJACDUES6bp/BAz/Dw4cOaOnWqNmzYoBYtWgR69tVyuVxyuVyNtjwAABA8Ab8Ck52drfz8fF1++eUKDw9XeHi4PvjgAy1evFjh4eFKTExUSUmJTp486fO8vLw8JSUlSZKSkpKqfCrJ+9jbBgCaE64yAL4CHmCuueYa7dmzR7t377aHPn36KDMz0/5/RESENm7caD9n3759OnTokNLT0yVJ6enp2rNnj/Lz8+02GzZskNvtVrdu3QJdMgzAyRsAUFHA30Jq1aqVevTo4TMuOjpaCQkJ9viJEydq+vTpio+Pl9vt1l133aX09HQNGDBAknTttdeqW7duuvXWW7Vw4ULl5uZq1qxZmjx5Mm8TAQCAwAeYunjqqafkdDo1ZswYFRcXa+jQoVq6dKk9PSwsTOvWrdNvfvMbpaenKzo6WuPHj9fcuXODUS4AAAgxjRJg3n//fZ/HLVq00JIlS7RkyZJqn5Oamqq//e1vDVwZAAAwEb+FBAAAjEOAAQAAxiHAAAAaDJ8gREMhwAAAAOMQYAAAgHEIMAAAwDgEGABAs8J9OU0DAQYAABiHAAMAAIxDgAEANAreukEgEWAAAIBxCDAAjMdf9kDzQ4ABAADGIcAAAADjEGCAZoy3XhBM7H84HwQYAABgHAIMAAAwDgEGAJog3p5BU0eAAQAAxiHAAAAA4xBgAACAcQgwMBLv7wNA80aAAYAaNJew3FzWE00HAQYAABiHAAMAAIxDgAEAnBPedkIwEWAAIIgIAcC5IcAAzVQwXzh50QZwvggwAADAOAQYADAMV7AAAgwAADAQAQYAABiHAAMAAIxDgAEQkrjPA0BNCDCoE15MgOaL4x+hiAADAAgZhCXUFQEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwA1APfUwKEBgIMAMAohEhIDRBgFixYoL59+6pVq1Zq06aNRo0apX379vm0OXPmjCZPnqyEhATFxMRozJgxysvL82lz6NAhDRs2TC1btlSbNm10zz33qKysLNDlAiGFEzNgHo7b4Ah4gPnggw80efJkbdu2TRs2bFBpaamuvfZanT592m5z9913669//atee+01ffDBBzp69KhGjx5tTz979qyGDRumkpISbd26VStXrtSKFSs0e/bsQJeLIOPAB+qHY+b8BKL/2AahITzQM1y/fr3P4xUrVqhNmzbKzs7WoEGDVFBQoBdeeEGrV6/W1VdfLUl66aWX1LVrV23btk0DBgzQO++8o88//1zvvvuuEhMTlZaWpoceekj33Xef5syZo8jIyECXDQAADNLg98AUFBRIkuLj4yVJ2dnZKi0tVUZGht2mS5cu6tChg7KysiRJWVlZ6tmzpxITE+02Q4cOVWFhoXJycvwup7i4WIWFhT4DahaKf0WEYk1AfTXX/bi5rjeCo0EDTHl5uaZNm6aBAweqR48ekqTc3FxFRkYqNjbWp21iYqJyc3PtNhXDi3e6d5o/CxYskMfjsYeUlJQArw0AAAgVDRpgJk+erM8++0yvvvpqQy5GkjRz5kwVFBTYw+HDhxt8mQAAIDgCfg+M15QpU7Ru3Tpt3rxZ7du3t8cnJSWppKREJ0+e9LkKk5eXp6SkJLvNjh07fObn/ZSSt01lLpdLLpcrwGsBAABCUcCvwFiWpSlTpmjt2rXatGmTOnXq5DO9d+/eioiI0MaNG+1x+/bt06FDh5Seni5JSk9P1549e5Sfn2+32bBhg9xut7p16xbokgEAgGECfgVm8uTJWr16tf785z+rVatW9j0rHo9HUVFR8ng8mjhxoqZPn674+Hi53W7dddddSk9P14ABAyRJ1157rbp166Zbb71VCxcuVG5urmbNmqXJkydzlQUAAAT+Csyzzz6rgoICDRkyRG3btrWHNWvW2G2eeuopDR8+XGPGjNGgQYOUlJSk119/3Z4eFhamdevWKSwsTOnp6brlllt02223ae7cuYEuN6RxRz8AU3C+QmML+BUYy7JqbdOiRQstWbJES5YsqbZNamqq/va3vwWyNAAA0ETwW0gAAMA4BBgAAGAcAgwAo3HvBUzG/nvuCDAAAMA4BJjzQHJuntjuQOPheEN1CDBAE+fvBYAXBQCmI8AACHkELoQq9s3gIcA0cRxcAICmiAADAOepsf5Q4A8S4N8IMM0EJz6geeBYR3NBgAEAAMYhwAQRfykBAHBuCDAACNNodMHe54K9fJw/AgxCHiea6tW1b+hDAE0NAaaB8cJhFrZX08M2bTrYlqiIAAModE+MoVoXgPPH8X1+CDBoUjghAEDzQIABgGaEkI+mggADAACMQ4A5Tyb9NWNSrQACy6Tj36RavepTs4nrF4oIMLBxUAHm4vgNHWyLxkGAAYAQxwsiUBUBxlCheELzV1Nd6gzEuoRifwAIbZw3zEaACRAOBPgTyP2CfQwmYD9FYyHAAOchFE/WoVgTAAQaAQYAABiHANOI+MsYAJonzv+BR4ABAADGIcAAAADjEGBCBJcXgeajuRzvzWU9Q1lT3gYEGPgI5s7elA80AKGLnwEwEwGmCTH5wGqM2k3un1BEfzZvbH/6INgIMOeIHTd0sC1CQ7C3w7kuP9h116a6+ky9Whrq/Q1zEGBQLU40aAzsZ6Gl44w32SYwAgEGQIPjBbHpYFsiVBBgmhlOPo2Dfm5Y9C8AAowhOGEDOF+cR+qmKfRTU1iH2hBgUCvvgcCNezAZ++C/0RdoCggwOG+cDNFcmbzvm1y7CejfhkeAQY0HGgehWdheDaO59qvp681V47oxdV0JMIYL9o5XefnBrgdAaDL53GBy7ZU1pXUhwAABEqxvE25KJ6SmqCmF/FD7yv26LIOrMHVj4roSYNAsmXiwNnW1bRO2WcMLVB+zrdAYCDDnoCn9RXUumtv6BkND9XFT2naBWJfGnEddAlpT2j41CVSfNTWhuL6hWJMXASZIAvHR5LrMP5SE2uXnhtCcXoSao7rc8H4u2z/Y+0ywl38+TK4d54cA0wQ05gHclE8W9X0Bqm9fBOPKXbC2V13u1Ql22GvK/W+qUP4jx4RtWdMPf9b1R0FNWE+vkA4wS5YsUceOHdWiRQv1799fO3bsCHZJdWbSTgD/Km7DxjzIG/rGxGAvrz64LwbNUSDflqzP40DV1VhCNsCsWbNG06dP14MPPqhPPvlEvXr10tChQ5Wfnx/s0oIm1Haeikz8azbU+jNU7gs437c3A31fSahtp/PRENu4KfVPXTT0W3Sm9Wewr2QGU8gGmCeffFJ33HGHJkyYoG7dumnZsmVq2bKlXnzxxWCXVisTU21DnhSCsX6VD+pg3PBZ09sooXzVo7Zl1/WvuIaov7HCGxAo53qsh9q+GGr1SFJ4sAvwp6SkRNnZ2Zo5c6Y9zul0KiMjQ1lZWX6fU1xcrOLiYvtxQUGBJKmwsDDg9ZUXf+93vHdZ/qZ3uPs1u011z+9w92v67L+H+iyn8jwrPq44L+//vfOoON27bH91+qunpvWo2Ka2fvA3j4r9UN0y6tLG33R/61tT/9W0DO+8Kk+v3JfnUqe/aTU9v+I2rTy+umUUFhaqx4Nv+10nf+tQXZ2V9xXv/yvvz9Xt33Xt75pq8NemrseQv3orjq9pPc+lTn/HZHU113ffq66OiutXeTt451F5X6ithurqqWkfDvT5onL/1WcZ1e3//uZRW39Xtx3rci6o3Hf+jiF/dVReb+nHbVhx367p+PZ3vjiXvvC2qbzelY+xQPMu37KsmhtaIejIkSOWJGvr1q0+4++55x6rX79+fp/z4IMPWpIYGBgYGBgYmsBw+PDhGrNCSF6BORczZ87U9OnT7cfl5eU6fvy4EhIS5HA4ArqswsJCpaSkBHSeAACY5vDhw3K73QGdp2VZOnXqlJKTk2tsF5IBpnXr1goLC1NeXp7P+Ly8PCUlJfl9jsvlksvl8hkXGxvbUCUCANDsud3ugAcYSfJ4PLW2CcmbeCMjI9W7d29t3LjRHldeXq6NGzcqPT09iJUBAIBQEJJXYCRp+vTpGj9+vPr06aN+/fpp0aJFOn36tCZMmBDs0gAAQJCFbIC56aab9O2332r27NnKzc1VWlqa1q9fr8TExGCXJpfLpfvvv19nzpzRtm3blJ6errCwsCrtysrKapxelzbnO92UZZhSZ1NZhil1NpVlmFInfdH0ltGQdYaHh1e5daMxOSyrts8pAQAAhJaQvAcGAACgJgQYAABgHAIMAAAwDgEGAAAYhwBzHg4cOCCHw6Hdu3dXGXfJJZfI4XDYwwMPPGC3jY2N1WWXXabY2FjFxMRo2rRpGjJkiFwuly677DK1aNFC4eHhCgsLs6d37NhRTqfTZ56RkZFatGhRvWqdP3++/fyf/OQnVeqXpCFDhqh9+/Y+9cTGxtqPhwwZ4lOHd4iJiZHb7daiRYsUGxsrh8OhiIgIe/3at2+vadOmSZLef/99ORwOnTx50mfZ3vEOh8NnfZ9//vkq7S3L0h133KHIyEi/9dRliI6OrjIuPDzc/n/lvunYsWOVPk9NTVVkZKRatGghh8OhhIQEtW/fXuHh4YqNjVX79u3tweVy2dvUu/yK27m6OkeMGOHTh7GxsXI6nRo8eLC978TExNjLrfhcj8cjt9utqKgoxcTEyOl06oILLrDn1759e3Xr1k0dOnRQhw4d1Lp1a7tfnE6nPX9vndHR0YqKirLrCAsLU3x8vDwej8++GR0drQsvvLDKPuXdTy666KIa6x44cKA6duyoqKgohYWFKSwszN7/vPuRP3XZt8LCwuz/V27n5XA49MYbb/gd73A47O3t8Xi0aNGiatufa4217f914d1fO3bsqPj4ePv/1Z03Kq9DxXq8+8S5rO+vfvUrjRo1qsq4Ll26KCoqSg6HQ1FRUUpLS/PbtjJ//RfIvqtu3XJzc6v0R219MGfOHKWlpfmMW7Fihc8XrXof/+53v7Nr9/fpnsrz8j5evny53G63HA6HvW39LXfOnDlKSUmxj1XvseWvbW1WrFihli1bBvULYwkwDSQqKsr+/5o1a3TzzTf7bWdZlv7whz+oqKio1nl6PzDWunVr9e7dWy1atKjSpqaTkyT7YJs3b57WrFnjt82ZM2d05MiR2n9IS1JMTIwkKSIiosZvTty2bVud1rGi5cuXS5L27t2rTp06VZm+fv16vfjiiyotLZXT6ZTT6bs7jx8/3ucjf9HR0fb/77rrLiUmJur77//9Y2bXXXednE6nzp49q9///vc6fPiwevToUWudRUVFKisr09SpU5WcnKwpU6b4rdfr+++/165du2qdb1xcnP7zP//Tfvz6669ry5Yteuihh1RQUCCPx6Prr79er7/+unbs2KHt27dry5Yt9jaJjo7WhAkTtG3bNsXGxmr69Onavn273n//fW3ZskWvv/66LMvS7bffrnfeeUcffvihPvzwQ3Xp0sU+wcXFxUmSEhISFB5e/bcunD171ucH4BISEqptW1xc7NPvXuXl5fb/IyIiajyhvvjii3UO7/5kZ2dr5cqVVcZXFyz8efLJJyVJTzzxhCZNmlRtu/q80FdU2/5fn1qlH79by1+dtZ0zvDZv3iwpcOtbUFCgffv2KT09XUlJSbryyit9vrzUq2L4jY+PV+vWrfXLX/5SkjRo0CA7YF9//fX2cyIjIyVJt956q913cXFxPn9QXXDBBfUONk899ZQk6ZZbbtEXX3xRp/X/r//6L7/r5c/KlSsVERGhuXPn+ryGSD8GhkceeaTKc8rLyzVlyhQ9+OCD+uyzzzRp0iTNmTNHy5Ytq9K2uLhY33zzjQYOHKjWrVurU6dOysnJqbGm6sLNTTfd5LeexkSAaSDdunWz/3/xxRerZcuWAZu396/W2pSUlFQZ9+2330qSLrroIl1wwQW1zqO2EOMNCN6/SurCX13+eH82Iikpye93E/zzn/+0Q4nb7ZbH41F4eLh99apPnz72XyXSv0Olw+HQ4sWLdfbsWUk/vlhK0rBhw+wQ1rdvX7Vp06bGF22vsrIyOZ1OtW3bVhEREYqLi6v2+xjqw/tXnld8fLxSU1PVqlUru+6IiAjFx8erV69e6t69u1JTU2VZlsLCwhQZGalLL71UXbt2ta+6dO/eXYMGDdLFF1+s+Ph4+/lt2rRRamqqUlNTFR4ebofByv9Wp2L48F7hqE1N+5b36l1t6rovVdaxY0d16NCh1nbefcQf7++0tG7duk7Hd2lpad0LVO37v5dlWSorK6t1fjExMdXWWVZW5vMHRklJiUpKSnT69Gl7nPc7uDwej729K65TUVGRjh8/bo+vrS5v4E1JSVFERISio6NrDL714T3mvVc4a1PXPvznP/8pSWrfvn2tv4fn7ZuYmJg6r1dhYaEiIiJqnXfF462kpESlpaUaPXq0unfvXuO+WFBQIEnq3LmzfY7o0qVLnWqrfKxFRUU1yE8I1Mt5/Gh0k/fWW29Z3bp1s5xOZ9B/lZOBgYGBgSEUB4fDYYWFhVmPP/64ZVmW9eGHH1qRkZHW6dOnG/Q1OmS/iTcUnD59WjfccIPS09N17NgxZWVl6bvvvpNlWXI4HLIsyycJA6YKDw+v01+gQFMUGRl5zlfzmouIiAifK24VH3vve7v//vuVkJCgI0eOqG/fvgF958Efvom3Hr777rsa33Yx/SBITk7W0aNHG2VZ3gAYSE6ns8pbGdUtoyGWb7LExMQqv/4eSJW3TWNje9escv/Ut78a8tzXu3dvZWdn24+9b1Gea+COiorSDz/84DPO4/HYb6/A//ZPSEjQsWPH7Mfebe5tO3z4cBUXF+vIkSNKTk5Wv379NH/+/Aatk3tgavDll19q+PDhatmypRwOR633jATiAK7tXoOG9POf/7zRltUQLyaV51nTMhr7xayu9wc1Bn+11HSvRyCkpaUFtQ9CIbyE0j5QWX2OHX+892UFmsPh8Akv0o+1nev+6v2EUmX+bipvzizLqtJPFcOL9O/XO+++0qNHD/3www/6xz/+oa1bt2rIkCENXicBpgYjRozQe++9p/LyckVGRtbppkKTtW/fPtgl1Nmll15aZVxtJ91ghsNAvHg15AvgsWPHGqx/HA6H/vWvf9mfDAmGUAgPoRCiKgtUvwTipnV/quuzQPdlfW+wbg5q6uPK54oXXnhBo0ePVk5OjizLUmlpqa644oqGLjF0f4062I4dO6Z9+/Y1+nKDeZl9z549QVt2ffXp00effvppvZ5TsW/DwsIa/KpDdcs+Vw35AmhZVoPN37Is5eXlhUSIgK9QDFUNybIsuVwun09XwT9/+4b3XrnK57Mbb7xRLVu21A8//KCYmBh169bN5xOUDYUAU424uDjFx8erqKjIvlm3MV/wgqG674UJRS+++OJ5Pd/7se+KB2lzuZE1GC9awb7Zvbm9UDe2ym8vhLL6fhkg/q268+Odd96pn/3sZ/bH7wcPHtwo9fAWUjWcTqfWrFmjpKQklZaWNvnwguoPTgA1M+n8GOww3RS9+uqrmj17toYPH67y8vJGuf9FIsDUKCMjQwcPHrQvr5/L8NJLL0mS1q1bp/3790uSdu3aVeNz9u/fL6fTqezs7GrbDBgwQPfff79SU1P11FNP+W1TXl6uCy+8UE888USNy6qpprrUcvjwYUnSuHHjZFlWtTVVHF+X2izL0tSpUyX9eEP1e++9J0k6ceKET5vK4zdv3qyIiAjl5uZWmV9RUZEiIiLUu3dvlZeXa/DgwZo6darfZRcVFfl8UdO4cePkdrvtb0D2PpZ+vHpT8ZuR+/fvr6+//lqS7K+dj4qK0vPPP1/n7fPRRx9Jkr766itJ0tq1a6u0OXXqlNxut/7v//6vxm3z7rvv1rhdLrvsMvuL7GJiYpSWlqaWLVuqY8eO9d7nz549q4svvlizZs3S+PHjNXLkyHrPoy5112c/9zfMmzdPrVu39rtPVRxq2p+822j+/PmyLKva7VRxfG3brLb9/84775TH41F0dLTatWvnM3jXp0ePHho8eLAiIyPldDqVlpamAQMGSPrxE2cV+7PiMVBbX86bN09Op1PPPfdctetb8Xis67qePXtWcXFxat++vSzLqna/qTz+9ttv14gRI+rcd+dz7qhu21e3zasb5s6dq549e9b7mKg4vPzyy0pISFBxcbGuvvpqud1uRUREVPnZkksvvVRXX321z2PvF23GxMQoLi5OLVu2VFxcnP0Wr/c5d911lyzL0oMPPqhevXrVWH9ZWZkOHjyoP//5z7IsS0OHDq32dTWQeAspwF5++WX95Cc/Ubt27ZSVlaW7775bDodDvXr1qvUv/NLSUh07dkyzZs3SgAEDdPnll1dpU1xcrD179ignJ0e/+93vqp3Xt99+q1dffVW5ubmaMGFCvdejplo2bdqkoqIi9ezZUwcPHtTUqVPlcDh03XXX1WneNdW2dOlS9e3bVwkJCXr77be1bNkyuVwupaSk6Jtvvqlxvt6vyZ4zZ45++ctfKjExUbt27dIXX3yhfv366dixY5oxY4bKysqUkZFR5fm7du3S+vXr9fnnn+v48ePau3evz9fjf/TRRz6P161bZz8uKyvz2b75+fm66KKLJMk+wFu2bKmRI0dW2wdr165VTEyMOnfurK+++kpTp07VwIED7d8Tqqi8vFzfffednnjiCcXGxtqfIKu4bf71r3/p3nvvVceOHTVo0CC/fVZWVqbi4mJ99dVXdp0lJSX65ptv9MMPP+jiiy+usc8l6eDBg3rnnXc0ePBgFRcX65lnntH+/fs1btw4Pfroo7U+/1zq9qrPfl5x39qyZYsee+wxjRgxQn/605/8ti8uLta3337rsz9V3EafffaZJk+eLEn66U9/Wus6lpeXKz8/v8o2q67G+uz/3vBRWFgop9Op8PBwnTx50r7acPr0aX399ddq1aqV358gkfz3ZcV6Nm3apIcffljl5eXq3r17rev77bff6vnnn/e7rhX3mTNnzmjBggU6efKk3+PSn4KCAu3Zs0erV6/WX/7yl/PqO8n/uaOy6o7PLVu21KnmoqIiHThwQM8884zmzZtXp+dU9v333+tf//qXHnnkEd12221as2aNNm3aZE+vvJ4/+9nP9OSTT9phs7i4WCdOnLDrkap+PPrnP/+5Hn74YS1dujTg9QechYB69NFHrdTUVMvlcllut9tq2bKlNX/+fMuyLGv//v2WJGvXrl1+n/vee+9ZkqyLL77Y+vTTT/22Wbt2rdWqVSsrMzPTKikpsVJTU62nnnqqSjtJVuvWra1Vq1bVWG91NdVUy/r1663u3btbUVFRlsfjscLDw61Ro0ZZJSUllmVZ1dbkHV9TbdOmTbPatm1ruVwuKzo62vJ4PNbLL7/sU9OJEyf81rpkyRLL6XRal19+ufXNN99YlmVZn3zyiXX55Zdb0dHRVqtWrSyn02ldddVV1vHjxy3LsqzBgwdbU6dOtdt26dIl4N9S6XQ6rQEDBvj0o78+WLlypdW5c2fL5XJZ7dq1s8aPH2999913dvu1a9dW2W7t27e33n33Xb/bpk2bNtaoUaOsAwcOVLtddu3a5VNreHi4FRYWZtf39ddfV9lGlR06dMi64oorLLfbbbVq1cpKT0+3PvjgA8uyLGv8+PHWyJEja51Hfev2qut+blm++1bnzp2tuXPnWu+++67ffcqyLOull16qsj9V3EYej8dyuVzWnXfe6VNPxe1Ucfwf//hHv9usuhqr2//vvPNOy+PxWNHR0Va7du2sdu3aWXFxcZYkKyIiwoqIiLDS0tKsnj172ts1LCzMSkhIsCZMmFClP73HgL++rFhP69atraioKPt4qW59vXXWtK4V95mYmBjL4XBYPXv2tLd5dfuNd/zgwYOtqKgoa9q0afXqu/qcOyqr7visbpv7qz0yMtK68cYbrbKyslrb+/Pggw9a4eHh1tVXX2116NDBcjgc1Z53oqKifKZXbuvvG+YdDofldrutxx57zGeZvXr1Ckj9gcYX2QEAAONwDwwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYJz/B8Pu+04dCbgyAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "O-egsHMIg5Rp"
      },
      "source": [
        "Another way to visualize bigrams is to use a 2-dimensional graph."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3EaPJgtaVxZM"
      },
      "source": [
        "def plotbihistogram(ngram):\n",
        "  freq = np.zeros((26,26))\n",
        "  for ii in range(26):\n",
        "    for jj in range(26):\n",
        "      freq[ii,jj] = ngram[(chr(ord('a')+ii), chr(ord('a')+jj))]\n",
        "  plt.imshow(freq, cmap = 'jet')\n",
        "  return freq"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "M7jq3AwnVzQT",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 843
        },
        "outputId": "8a29bfba-81e7-4cdc-8392-4e6a212986c2"
      },
      "source": [
        "bieng1 = plotbihistogram(bigram_eng1)\n",
        "plt.show()\n",
        "bieng2 = plotbihistogram(bigram_eng2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UXPTOj67WsPT",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 843
        },
        "outputId": "ff96aef0-e1af-4ce1-d8bf-3a98a25567c9"
      },
      "source": [
        "bifr1 = plotbihistogram(bigram_fr1)\n",
        "plt.show()\n",
        "bifr2 = plotbihistogram(bigram_fr2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rGOEHcyGokD0"
      },
      "source": [
        "Let us look at the top 10 ngrams for each text."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dk2TkzTno8vb"
      },
      "source": [
        "from IPython.core.debugger import set_trace\n",
        "\n",
        "def ind2tup(ind):\n",
        "  ind = int(ind)\n",
        "  i = int(ind/26)\n",
        "  j = int(ind%26)\n",
        "  return (chr(ord('a')+i), chr(ord('a')+j))\n",
        "\n",
        "def ShowTopN(bifreq, n=10):\n",
        "  f = bifreq.flatten()\n",
        "  arg = np.argsort(-f)\n",
        "  for ii in range(n):\n",
        "    print(f'{ind2tup(arg[ii])} : {f[arg[ii]]}')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_HeWNh_q0QZ1",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "550c2e36-e46c-46e7-f5ea-b310e0b9283c"
      },
      "source": [
        "print('\\nEnglish 1:')\n",
        "ShowTopN(bieng1)\n",
        "print('\\nEnglish 2:')\n",
        "ShowTopN(bieng2)\n",
        "print('\\nFrench 1:')\n",
        "ShowTopN(bifr1)\n",
        "print('\\nFrench 2:')\n",
        "ShowTopN(bifr2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "English 1:\n",
            "('t', 'h') : 842.0\n",
            "('h', 'e') : 697.0\n",
            "('e', 's') : 665.0\n",
            "('i', 'n') : 594.0\n",
            "('a', 'n') : 538.0\n",
            "('e', 'r') : 478.0\n",
            "('r', 'e') : 454.0\n",
            "('r', 'a') : 441.0\n",
            "('a', 'l') : 404.0\n",
            "('n', 'd') : 393.0\n",
            "\n",
            "English 2:\n",
            "('t', 'h') : 1236.0\n",
            "('a', 'n') : 1123.0\n",
            "('h', 'e') : 981.0\n",
            "('i', 'n') : 863.0\n",
            "('n', 't') : 664.0\n",
            "('e', 'r') : 653.0\n",
            "('e', 's') : 637.0\n",
            "('r', 'e') : 629.0\n",
            "('h', 'a') : 618.0\n",
            "('l', 'e') : 597.0\n",
            "\n",
            "French 1:\n",
            "('e', 's') : 737.0\n",
            "('l', 'e') : 438.0\n",
            "('e', 'n') : 409.0\n",
            "('d', 'e') : 390.0\n",
            "('o', 'n') : 349.0\n",
            "('n', 't') : 329.0\n",
            "('r', 'e') : 317.0\n",
            "('e', 'l') : 308.0\n",
            "('l', 'a') : 254.0\n",
            "('s', 'e') : 254.0\n",
            "\n",
            "French 2:\n",
            "('e', 's') : 1075.0\n",
            "('n', 't') : 820.0\n",
            "('e', 'n') : 678.0\n",
            "('d', 'e') : 675.0\n",
            "('l', 'e') : 635.0\n",
            "('a', 'n') : 566.0\n",
            "('o', 'n') : 492.0\n",
            "('r', 'e') : 486.0\n",
            "('e', 'l') : 451.0\n",
            "('s', 'e') : 407.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6kDovOP4l98z"
      },
      "source": [
        "We observe that the bigrams are similar across different topics but different across languages. Thus, the bigram frequency is a good feature for distinguishing languages, but not for distinguishing topics.\n",
        "\n",
        "Thus, we were able to convert a many-dimensional input (the text) to 26 dimesions (unigrams) or 26*26 dimensions (bigrams).\n",
        "\n",
        "\n",
        "A few ways to explore:\n",
        "1. Try with different languages.\n",
        "2. The topics we used are quite similar, wikipedia articles of 'elephant' and 'giraffe'. What happens if we use very different topics? What if we use text from another source than Wikipedia?\n",
        "3. How can we use and visualize trigrams and higher n-grams?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2ZJfjIHk-oHV"
      },
      "source": [
        "# Part 2: Written numbers\n",
        "\n",
        "We will use a subset of the MNIST dataset. Each input character is represented in a 28*28 array. Let us see if we can extract some simple features from these images which can help us distinguish between the digits.\n",
        "\n",
        "Load the dataset:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yNsLJSr6wGY0"
      },
      "source": [
        "from keras.datasets import mnist\n",
        "\n",
        "#loading the dataset\n",
        "(train_X, train_y), (test_X, test_y) = mnist.load_data()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jVNr144WAUZO"
      },
      "source": [
        "Extract a subset of the data for our experiment:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "P3MN8ddxAASZ"
      },
      "source": [
        "no1 = train_X[train_y==1,:,:]\n",
        "no0 = train_X[train_y==0,:,:]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ePXCs0qyCLpc"
      },
      "source": [
        "Let us visualize a few images here:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BQeyZSh-Arpc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "outputId": "613c51a0-1739-4e9a-cbd2-4e456551ce6a"
      },
      "source": [
        "for ii in range(5):\n",
        "  plt.subplot(1, 5, ii+1)\n",
        "  plt.imshow(no1[ii,:,:])\n",
        "plt.show()\n",
        "for ii in range(5):\n",
        "  plt.subplot(1, 5, ii+1)\n",
        "  plt.imshow(no0[ii,:,:])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 5 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 5 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1g-Tg7EKDz96"
      },
      "source": [
        "suNow, let us start with a simple feature: the sum of all pixels and see how good this feature is."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "I8SztDk7CyZc"
      },
      "source": [
        "sum1 = np.sum(no1>0, (1,2)) # threshold before adding up\n",
        "sum0 = np.sum(no0>0, (1,2))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8oW3XCOCE7Zv"
      },
      "source": [
        "Let us visualize how good this feature is: (X-axis is mean, y-axis is the digit)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "i8PIe8o_DPpU",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "outputId": "40f2f82b-f504-4da8-9b65-33692b391d6b"
      },
      "source": [
        "plt.hist(sum1, alpha=0.7);\n",
        "plt.hist(sum0, alpha=0.7);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7_hToEepFtl2"
      },
      "source": [
        "We can already see that this feature separates the two classes quite well.\n",
        "\n",
        "Let us look at another, more complicated feature. We will count the number black pixels that are surrounded on four sides by non-black pixels, or \"hole pixels\"."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HwEnlm6RFFej"
      },
      "source": [
        "def cumArray(img):\n",
        "  img2 = img.copy()\n",
        "  for ii in range(1, img2.shape[1]):\n",
        "    img2[ii,:] = img2[ii,:] + img2[ii-1,:]  # for every row, add up all the rows above it.\n",
        "  img2 = img2>0\n",
        "  return img2\n",
        "\n",
        "def getHolePixels(img):\n",
        "  im1 = cumArray(img)\n",
        "  im2 = np.rot90(cumArray(np.rot90(img)), 3) # rotate and cumulate it again for differnt direction\n",
        "  im3 = np.rot90(cumArray(np.rot90(img, 2)), 2)\n",
        "  im4 = np.rot90(cumArray(np.rot90(img, 3)), 1)\n",
        "  hull =  im1 & im2 & im3 & im4 # this will create a binary image with all the holes filled in.\n",
        "  hole = hull & ~ (img>0) # remove the original digit to leave behind the holes\n",
        "  return hole"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iw3HjgnupUEI"
      },
      "source": [
        "Visualize a few:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "H0sjr23NYEFe",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 557
        },
        "outputId": "0171904f-735f-4306-fb62-46e14116bef9"
      },
      "source": [
        "imgs = [no1[456,:,:],  no0[456,:,:]]\n",
        "for img in imgs:\n",
        "  plt.subplot(1,2,1)\n",
        "  plt.imshow(getHolePixels(img))\n",
        "  plt.subplot(1,2,2)\n",
        "  plt.imshow(img)\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vS-4erNXtxMi"
      },
      "source": [
        "Now let us plot the number of hole pixels and see how this feature behaves"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Dpm1dRgsety8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "outputId": "0cfe813e-8d44-41d0-a86b-7cbd8087a318"
      },
      "source": [
        "hole1 = np.array([getHolePixels(i).sum() for i in no1])\n",
        "hole0 = np.array([getHolePixels(i).sum() for i in no0])\n",
        "\n",
        "plt.hist(hole1, alpha=0.7);\n",
        "plt.hist(hole0, alpha=0.7);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8UjCBHpJ31yq"
      },
      "source": [
        "This feature works even better to distinguish between one and zero.\n",
        "\n",
        "\n",
        "Now let us try the number of pixels in the 'hull' or the number with the holes filled in:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vPtJ8eqolAOf"
      },
      "source": [
        "def getHullPixels(img):\n",
        "  im1 = cumArray(img)\n",
        "  im2 = np.rot90(cumArray(np.rot90(img)), 3) # rotate and cumulate it again for differnt direction\n",
        "  im3 = np.rot90(cumArray(np.rot90(img, 2)), 2)\n",
        "  im4 = np.rot90(cumArray(np.rot90(img, 3)), 1)\n",
        "  hull =  im1 & im2 & im3 & im4 # this will create a binary image with all the holes filled in.\n",
        "  return hull"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W3fOgyYjmJ48",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 557
        },
        "outputId": "470d0e4b-a9a5-44f6-b699-01656cc4c6a0"
      },
      "source": [
        "imgs = [no1[456,:,:],  no0[456,:,:]]\n",
        "for img in imgs:\n",
        "  plt.subplot(1,2,1)\n",
        "  plt.imshow(getHullPixels(img))\n",
        "  plt.subplot(1,2,2)\n",
        "  plt.imshow(img)\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "M5rHal_HRWnE"
      },
      "source": [
        "Plotting the number of hull pixels versus the digit:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WTLzYZLTRQ_p",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "outputId": "fbfbd91a-7e5a-466d-e346-c5faabbc6cb4"
      },
      "source": [
        "hull1 = np.array([getHullPixels(i).sum() for i in no1])\n",
        "hull0 = np.array([getHullPixels(i).sum() for i in no0])\n",
        "\n",
        "plt.hist(hull1, alpha=0.7);\n",
        "plt.hist(hull0, alpha=0.7);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OSzH26ElXNri"
      },
      "source": [
        "Let us try one more feature, where we look at the number of boundary pixels in each image."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "h-2czBypXMwT"
      },
      "source": [
        "def minus(a, b):\n",
        "  return a & ~ b\n",
        "\n",
        "def getBoundaryPixels(img):\n",
        "  img = img.copy()>0  # binarize the image\n",
        "  rshift = np.roll(img, 1, 1)\n",
        "  lshift = np.roll(img, -1 ,1)\n",
        "  ushift = np.roll(img, -1, 0)\n",
        "  dshift = np.roll(img, 1, 0)\n",
        "  boundary = minus(img, rshift) | minus(img, lshift) | minus(img, ushift) | minus(img, dshift)\n",
        "  return boundary"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "u-V688jFerXh",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 557
        },
        "outputId": "a1460e3b-a6c8-4559-f90f-e5ddb1ce2604"
      },
      "source": [
        "imgs = [no1[456,:,:],  no0[456,:,:]]\n",
        "for img in imgs:\n",
        "  plt.subplot(1,2,1)\n",
        "  plt.imshow(getBoundaryPixels(img))\n",
        "  plt.subplot(1,2,2)\n",
        "  plt.imshow(img)\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kSsxsbCNXcNh",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "outputId": "423c16bd-caf9-4376-b5ab-8ccc2469e2f5"
      },
      "source": [
        "bound1 = np.array([getBoundaryPixels(i).sum() for i in no1])\n",
        "bound0= np.array([getBoundaryPixels(i).sum() for i in no0])\n",
        "\n",
        "plt.hist(bound1, alpha=0.7);\n",
        "plt.hist(bound0, alpha=0.7);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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vj8cjSfJ4PNq0aVPI+drepXTomO++c6m+vl5Op1Px8fHfOy+HwyGHw9HeywEAAAY64c+BaW1tVVNTk0aMGKEePXqorKzMPlZdXa2amhp5vV5Jktfr1ebNm9XQ0GCPKS0tldPpVFpamj3m0HO0jWk7BwAAQLvuwMyYMUPjxo3TwIEDtXv3bi1evFhr167V6tWr5XK5lJubq8LCQvXr109Op1N33XWXvF6vRo8eLUkaO3as0tLSNGnSJM2ZM0d+v18zZ85UXl6effdk8uTJeuqppzRt2jTdeuutWrNmjZYuXaqSkpKOv3oAAGCkdgVMQ0ODbrrpJu3cuVMul0vDhg3T6tWr9atf/UqSNHfuXEVHRysrK0tNTU3KyMjQM888Yz8+JiZGK1as0J133imv16vevXsrJydHDzzwgD0mNTVVJSUlKigo0Lx58zRgwAC98MILysjI6KBLBgAApjvhz4GJVHwOzMnF58AAAE6Gk/45MAAAAOFCwAAAAOMQMAAAwDgEDAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADjEDAAAMA4BAwAADAOAQMAAIxDwAAAAOMQMAAAwDgEDAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADjEDAAAMA4BAwAADAOAQMAAIxDwAAAAOMQMAAAwDgEDAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADjEDAAAMA4BAwAADAOAQMAAIxDwAAAAOMQMAAAwDix4Z4AAHQZi68P9wwOd8OScM8AOCm4AwMAAIxDwAAAAOMQMAAAwDgEDAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADjEDAAAMA4BAwAADBOuwJm9uzZuuCCC9S3b18lJSXpmmuuUXV1dciY/fv3Ky8vT4mJierTp4+ysrJUX18fMqampkaZmZnq1auXkpKSNHXqVB04cCBkzNq1azV8+HA5HA4NGjRIxcXFx3eFAACgy2lXwJSXlysvL0/vvfeeSktL1dLSorFjx2rv3r32mIKCAi1fvlzLli1TeXm56urqNH78ePv4wYMHlZmZqebmZm3YsEEvv/yyiouLNWvWLHvMjh07lJmZqTFjxqiqqkr5+fm67bbbtHr16g64ZAAAYLooy7Ks433wV199paSkJJWXl+uSSy5RIBDQaaedpsWLF+u6666TJH366acaMmSIfD6fRo8erZUrV+qKK65QXV2d3G63JKmoqEjTp0/XV199pbi4OE2fPl0lJSXasmWL/VwTJkxQY2OjVq1adUxzCwaDcrlcCgQCcjqdx3uJESu3uCKsz7/w5gvC+vxARFp8fbhncLgbloR7BkC7HOv37xN6DUwgEJAk9evXT5JUWVmplpYWpaen22MGDx6sgQMHyufzSZJ8Pp+GDh1qx4skZWRkKBgMauvWrfaYQ8/RNqbtHEfS1NSkYDAYsgEAgK7puAOmtbVV+fn5uvDCC3XOOedIkvx+v+Li4pSQkBAy1u12y+/322MOjZe2423HjjYmGAxq3759R5zP7Nmz5XK57C0lJeV4Lw0AAES44w6YvLw8bdmyRa+++mpHzue4zZgxQ4FAwN5qa2vDPSUAAHCSxB7Pg6ZMmaIVK1Zo3bp1GjBggL3f4/GoublZjY2NIXdh6uvr5fF47DGbNm0KOV/bu5QOHfPddy7V19fL6XQqPj7+iHNyOBxyOBzHczkAAMAw7boDY1mWpkyZotdff11r1qxRampqyPERI0aoR48eKisrs/dVV1erpqZGXq9XkuT1erV582Y1NDTYY0pLS+V0OpWWlmaPOfQcbWPazgEAALq3dt2BycvL0+LFi/Xmm2+qb9++9mtWXC6X4uPj5XK5lJubq8LCQvXr109Op1N33XWXvF6vRo8eLUkaO3as0tLSNGnSJM2ZM0d+v18zZ85UXl6efQdl8uTJeuqppzRt2jTdeuutWrNmjZYuXaqSkpIOvnwAAGCidt2BWbBggQKBgH75y1+qf//+9rZkyf9/m97cuXN1xRVXKCsrS5dccok8Ho9ee+01+3hMTIxWrFihmJgYeb1e3Xjjjbrpppv0wAMP2GNSU1NVUlKi0tJSnXvuuXrsscf0wgsvKCMjowMuGQAAmO6EPgcmkvE5MCcXnwMDHAGfAwOcsE75HBgAAIBwIGAAAIBxCBgAAGAcAgYAABiHgAEAAMYhYAAAgHEIGAAAYBwCBgAAGIeAAQAAxiFgAACAcQgYAABgHAIGAAAYh4ABAADGIWAAAIBxCBgAAGAcAgYAABiHgAEAAMYhYAAAgHEIGAAAYBwCBgAAGIeAAQAAxiFgAACAcQgYAABgHAIGAAAYh4ABAADGIWAAAIBxCBgAAGAcAgYAABiHgAEAAMYhYAAAgHEIGAAAYBwCBgAAGIeAAQAAxiFgAACAcQgYAABgnNhwTwAAcBItvj7cMziyG5aEewYwHHdgAACAcbgDA8A8kXpXAUCn4Q4MAAAwDgEDAACMQ8AAAADjEDAAAMA4BAwAADAOAQMAAIxDwAAAAOMQMAAAwDgEDAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACM0+6AWbduna688kolJycrKipKb7zxRshxy7I0a9Ys9e/fX/Hx8UpPT9f27dtDxuzatUvZ2dlyOp1KSEhQbm6u9uzZEzLm448/1sUXX6yePXsqJSVFc+bMaf/VAQCALqndAbN3716de+65evrpp494fM6cOZo/f76Kioq0ceNG9e7dWxkZGdq/f789Jjs7W1u3blVpaalWrFihdevW6Y477rCPB4NBjR07VqeffroqKyv16KOP6r777tNzzz13HJcIAAC6mtj2PmDcuHEaN27cEY9ZlqUnnnhCM2fO1NVXXy1J+tvf/ia326033nhDEyZM0CeffKJVq1apoqJCI0eOlCQ9+eST+vWvf62//vWvSk5O1qJFi9Tc3KwXX3xRcXFxOvvss1VVVaXHH388JHQAAED31KGvgdmxY4f8fr/S09PtfS6XS6NGjZLP55Mk+Xw+JSQk2PEiSenp6YqOjtbGjRvtMZdcconi4uLsMRkZGaqurtY333xzxOduampSMBgM2QAAQNfUoQHj9/slSW63O2S/2+22j/n9fiUlJYUcj42NVb9+/ULGHOkchz7Hd82ePVsul8veUlJSTvyCAABAROoy70KaMWOGAoGAvdXW1oZ7SgAA4CTp0IDxeDySpPr6+pD99fX19jGPx6OGhoaQ4wcOHNCuXbtCxhzpHIc+x3c5HA45nc6QDQAAdE0dGjCpqanyeDwqKyuz9wWDQW3cuFFer1eS5PV61djYqMrKSnvMmjVr1NraqlGjRtlj1q1bp5aWFntMaWmpzjrrLJ1yyikdOWUAAGCgdgfMnj17VFVVpaqqKkn/98Ldqqoq1dTUKCoqSvn5+frzn/+st956S5s3b9ZNN92k5ORkXXPNNZKkIUOG6PLLL9ftt9+uTZs26R//+IemTJmiCRMmKDk5WZJ0ww03KC4uTrm5udq6dauWLFmiefPmqbCwsMMuHAAAmKvdb6N+//33NWbMGPvrtqjIyclRcXGxpk2bpr179+qOO+5QY2OjLrroIq1atUo9e/a0H7No0SJNmTJFl112maKjo5WVlaX58+fbx10ul95++23l5eVpxIgROvXUUzVr1izeQg0AACRJUZZlWeGexMkQDAblcrkUCAS65Othcosrwvr8C2++IKzPj25u8fXhngFO1A1Lwj0DRKhj/f7dZd6FBAAAug8CBgAAGIeAAQAAxiFgAACAcQgYAABgHAIGAAAYh4ABAADGafcH2QFS+D+HRuKzaACgO+MODAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADjEDAAAMA4BAwAADAOAQMAAIxDwAAAAOMQMAAAwDgEDAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADjEDAAAMA4seGeAIAItvj6cM8AAI6IOzAAAMA4BAwAADAOAQMAAIxDwAAAAOPwIl4AQOeL1BeI37Ak3DPAMeIODAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADjEDAAAMA4BAwAADAOAQMAAIxDwAAAAOMQMAAAwDgEDAAAMA6/jfo45BZXhHsKAAB0a9yBAQAAxiFgAACAcfgREowV7h/lLbz5go472eLrO+5cANANcAcGAAAYJ6ID5umnn9aPf/xj9ezZU6NGjdKmTZvCPSUAABABIvZHSEuWLFFhYaGKioo0atQoPfHEE8rIyFB1dbWSkpLCPT2gQ3+EdVd943E97ryUhA6bAwBF7o9zb1gS7hlEnIgNmMcff1y33367brnlFklSUVGRSkpK9OKLL+qee+4J8+yAyFBV2xjW5yegAIRLRAZMc3OzKisrNWPGDHtfdHS00tPT5fP5jviYpqYmNTU12V8HAgFJUjAY7Pj57dvT4efsiv6n4c/hnoIxTP03av32/4Z7Chr2I1e4pwCcfCfhe1mkavu+bVnWUcdFZMD897//1cGDB+V2u0P2u91uffrpp0d8zOzZs3X//fcftj8lJeWkzBE/7JVwTwAAuorbXw/3DDrd7t275XJ9//+gRGTAHI8ZM2aosLDQ/rq1tVW7du1SYmKioqKiwjizjhUMBpWSkqLa2lo5nc5wTwdHwBpFPtYosrE+ke9krpFlWdq9e7eSk5OPOi4iA+bUU09VTEyM6uvrQ/bX19fL4/Ec8TEOh0MOhyNkX0JCwsmaYtg5nU7+w45wrFHkY40iG+sT+U7WGh3tzkubiHwbdVxcnEaMGKGysjJ7X2trq8rKyuT1esM4MwAAEAki8g6MJBUWFionJ0cjR47Uz372Mz3xxBPau3ev/a4kAADQfUVswFx//fX66quvNGvWLPn9fp133nlatWrVYS/s7W4cDof+93//97AflyFysEaRjzWKbKxP5IuENYqyfuh9SgAAABEmIl8DAwAAcDQEDAAAMA4BAwAAjEPAAAAA4xAwBnj44YcVFRWl/Px8e9/+/fuVl5enxMRE9enTR1lZWYd98B9Ori+//FI33nijEhMTFR8fr6FDh+r999+3j1uWpVmzZql///6Kj49Xenq6tm/fHsYZdy8HDx7Uvffeq9TUVMXHx+snP/mJHnzwwZDfr8Iada5169bpyiuvVHJysqKiovTGG2+EHD+W9di1a5eys7PldDqVkJCg3Nxc7dlj6m8TizxHW6OWlhZNnz5dQ4cOVe/evZWcnKybbrpJdXV1IeforDUiYCJcRUWFnn32WQ0bNixkf0FBgZYvX65ly5apvLxcdXV1Gj9+fJhm2f188803uvDCC9WjRw+tXLlS27Zt02OPPaZTTjnFHjNnzhzNnz9fRUVF2rhxo3r37q2MjAzt378/jDPvPh555BEtWLBATz31lD755BM98sgjmjNnjp588kl7DGvUufbu3atzzz1XTz/99BGPH8t6ZGdna+vWrSotLdWKFSu0bt063XHHHZ11CV3e0dbo22+/1QcffKB7771XH3zwgV577TVVV1frqquuChnXaWtkIWLt3r3bOvPMM63S0lLrF7/4hXX33XdblmVZjY2NVo8ePaxly5bZYz/55BNLkuXz+cI02+5l+vTp1kUXXfS9x1tbWy2Px2M9+uij9r7GxkbL4XBYf//73ztjit1eZmamdeutt4bsGz9+vJWdnW1ZFmsUbpKs119/3f76WNZj27ZtliSroqLCHrNy5UorKirK+vLLLztt7t3Fd9foSDZt2mRJsr744gvLsjp3jbgDE8Hy8vKUmZmp9PT0kP2VlZVqaWkJ2T948GANHDhQPp+vs6fZLb311lsaOXKkfvOb3ygpKUnnn3++nn/+efv4jh075Pf7Q9bI5XJp1KhRrFEn+fnPf66ysjJ99tlnkqSPPvpI69ev17hx4ySxRpHmWNbD5/MpISFBI0eOtMekp6crOjpaGzdu7PQ5QwoEAoqKirJ/92BnrlHEfhJvd/fqq6/qgw8+UEVFxWHH/H6/4uLiDvtllW63W36/v5Nm2L19/vnnWrBggQoLC/XHP/5RFRUV+v3vf6+4uDjl5OTY6/DdT45mjTrPPffco2AwqMGDBysmJkYHDx7UQw89pOzsbElijSLMsayH3+9XUlJSyPHY2Fj169ePNQuD/fv3a/r06Zo4caL9Cx07c40ImAhUW1uru+++W6WlperZs2e4p4MjaG1t1ciRI/WXv/xFknT++edry5YtKioqUk5OTphnB0launSpFi1apMWLF+vss89WVVWV8vPzlZyczBoBJ6ilpUW//e1vZVmWFixYEJY58COkCFRZWamGhgYNHz5csbGxio2NVXl5uebPn6/Y2Fi53W41NzersbEx5HH19fXyeDzhmXQ3079/f6WlpYXsGzJkiGpqaiTJXofvvjOMNeo8U6dO1T333KMJEyZo6NChmjRpkgoKCjR79mxJrFGkOZb18Hg8amhoCDl+4MAB7dq1izXrRG3x8sUXX6i0tNS++yJ17hoRMBHosssu0+bNm1VVVWVvI0eOVHZ2tv3nHj16qKyszH5MdXW1ampq5PV6wzjz7uPCCy9UdXV1yL7PPvtMp59+uiQpNTVVHo8nZI2CwaA2btzIGnWSb7/9VtHRoX/FxcTEqLW1VRJrFGmOZT28Xq8aGxtVWVlpj1mzZo1aW1s1atSoTp9zd9QWL9u3b9c777yjxMTEkOOdukYd+pJgnDSHvgvJsixr8uTJ1sCBA601a9ZY77//vuX1ei2v1xu+CXYzmzZtsmJjY62HHnrI2r59u7Vo0SKrV69e1iuvvGKPefjhh62EhATrzTfftD7++GPr6quvtlJTU619+/aFcebdR05OjvWjH/3IWrFihbVjxw7rtddes0499VRr2rRp9hjWqHPt3r3b+vDDD60PP/zQkmQ9/vjj1ocffmi/g+VY1uPyyy+3zj//fGvjxo3W+vXrrTPPPNOaOHFiuC6pyznaGjU3N1tXXXWVNWDAAKuqqsrauXOnvTU1Ndnn6Kw1ImAM8d2A2bdvn/W73/3OOuWUU6xevXpZ1157rbVz587wTbAbWr58uXXOOedYDofDGjx4sPXcc8+FHG9tbbXuvfdey+12Ww6Hw7rsssus6urqMM22+wkGg9bdd99tDRw40OrZs6d1xhlnWH/6059C/qJljTrXu+++a0k6bMvJybEs69jW4+uvv7YmTpxo9enTx3I6ndYtt9xi7d69OwxX0zUdbY127NhxxGOSrHfffdc+R2etUZRlHfKxlAAAAAbgNTAAAMA4BAwAADAOAQMAAIxDwAAAAOMQMAAAwDgEDAAAMA4BAwAAjEPAAAAA4xAwAADAOAQMAAAwDgEDAACMQ8AAAADj/D9rke/jnxflIgAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WuP04Ao_R0Yz"
      },
      "source": [
        "What will happen if we plot two features together?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kl7xWg-WRkAy",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "0ddc728e-a627-4ac5-e2df-2e1910c75bf4"
      },
      "source": [
        "# Sum and hull\n",
        "plt.scatter(sum0, hull0, alpha=0.1)\n",
        "plt.scatter(sum1, hull1, alpha=0.1)\n",
        "plt.xlabel('Sum')\n",
        "plt.ylabel('Hull')\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "# Sum and hole\n",
        "plt.scatter(sum0, hole0, alpha=0.1)\n",
        "plt.scatter(sum1, hole1, alpha=0.1)\n",
        "plt.xlabel('Sum');\n",
        "plt.ylabel('Hole');\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "# Hole and boundary\n",
        "plt.scatter(bound0, hole0, alpha=0.1)\n",
        "plt.scatter(bound1, hole1, alpha=0.1)\n",
        "plt.xlabel('Boundary');\n",
        "plt.ylabel('Hole');\n",
        "plt.legend(['0','1'])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0JYLmKNFSIT-"
      },
      "source": [
        "Now let us try plotting 3 features together."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lOKEHIXFaWp_",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "outputId": "4fce3718-166e-49c9-c1af-9ee10282fff2"
      },
      "source": [
        "cl1 = ['class 1']*len(sum1)\n",
        "cl0 = ['class 0']*len(sum0)\n",
        "df = pd.DataFrame(list(zip(np.concatenate((hole0, hole0)), np.concatenate((sum1,sum0)),\n",
        "                           np.concatenate((bound1,bound0)), np.concatenate((cl1, cl0)))),\n",
        "               columns =['Hole', 'Sum', 'Boundary', 'Class'])\n",
        "df.head()\n",
        "fig = px.scatter_3d(df, x='Hole', y='Sum', z='Boundary', color='Class', opacity=0.1)\n",
        "fig.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
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        "Feel free to explore the above graph with your mouse.\n",
        "\n",
        "\n",
        "We have seen that we extracted four features from a 28*28 dimensional image.\n",
        "\n",
        "\n",
        "Some questions to explore:\n",
        "1. Which is the best combination of features?\n",
        "2. How would you test or visualize four or more features?\n",
        "3. Can you come up with your own features?\n",
        "4. Will these features work for different classes other than 0 and 1?\n",
        "5. What will happen if we take more that two classes at a time?"
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