[Hands_On_Tutorial] Plagiarism Detection of Essays.ipynb

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    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {
        "id": "isllxsdAGskt"
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      "source": [
        "# A Hands-on Tutorial on **string2string**\n",
        "\n",
        "## Detecting Plagiarism in Essays with string2string Algorithms: A Step-by-Step Tutorial\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tGp0V2ISujpt"
      },
      "source": [
        "Welcome to the first tutorial in a series of hands-on tutorials on using the **string2string** library. \n",
        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      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {
        "id": "LXGOtoxRGskx"
      },
      "source": [
        "In this tutorial, we will guide you on how to use the **string2string** library for detecting plagiarism in documents. In particular, we will demonstrate how various natural-language processing  (NLP) techniques can be utilized to analyze a synthetic corpus of English-language essays that has been specifically generated for this exercise (using OpenAI's ChatGPT and Curie models). Our primary focus will be on measuring the degree of both semantic and lexical similarity between each document within the corpus using different methods, such as longest common substring and cosine similarity. Through this tutorial, we aim to provide you a comprehensive understanding of how NLP techniques can be effectively employed for plagiarism detection in documents.\n",
        "\n",
        "Without any further ado, let's get started!"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pyTyov4juwqC"
      },
      "source": [
        "## Getting Started"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "76n-TNs1vNZU"
      },
      "source": [
        "First and foremost, let's use `pip install` to install the string2string library."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "291d4KrfGskx"
      },
      "outputs": [],
      "source": [
        "%%capture\n",
        "!pip install string2string\n",
        "!pip install scikit-learn\n",
        "!pip install networkx"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yEJIyGyqvrht"
      },
      "source": [
        "We also need to import necessary libraries and dependencies."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "TB4iQKYAvxhN"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/Users/machine/opt/anaconda3/envs/string2string/lib/python3.9/site-packages/tqdm/auto.py:22: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
            "  from .autonotebook import tqdm as notebook_tqdm\n"
          ]
        }
      ],
      "source": [
        "# For data processing\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "from collections import Counter\n",
        "\n",
        "# To compute longest common subsequence, longest common substring, and cosine similarity\n",
        "from string2string.alignment import LongestCommonSubsequence, LongestCommonSubstring\n",
        "from string2string.similarity import CosineSimilarity\n",
        "\n",
        "# To perform semantic search via Faiss\n",
        "from string2string.search import FaissSearch\n",
        "\n",
        "# To load HUPD\n",
        "from datasets import load_dataset\n",
        "\n",
        "# To perform dimensionality reduction\n",
        "from sklearn.manifold import TSNE\n",
        "\n",
        "# For visualization purposes (we will use both matplotlib and plotly)\n",
        "%matplotlib inline\n",
        "import matplotlib.pyplot as plt\n",
        "from string2string.misc.plotting_functions import plot_corpus_embeds_with_plotly\n",
        "\n",
        "# A few additional imports\n",
        "from tqdm import tqdm"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Loading the Plagiarism Detection Corpus\n",
        "We will be using the small subset of the Plagiarism Detection Corpus (PDC).\n",
        "* This particular subset consists of 400 essays written by two of OpenAI's language models, namely ChatGPT and Curie.\n",
        "* Each essay within this subset is written in response to a specific prompt, and all prompts are related to either Jane Austen or William Shakespeare's works."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Get the PDC dataset from data/Plagiarism_Detection_Corpus.csv\n",
        "df = pd.read_csv('data/Plagiarism_Detection_Corpus.csv')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
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              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>The Theme of Wealth and Its Impact on Relation...</td>\n",
              "      <td>Title: The Theme of Wealth and Its Impact on R...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>506</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>The Use of Satire in \"Northanger Abbey\"</td>\n",
              "      <td>Title: The Use of Satire in \"Northanger Abbey\"...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>607</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>The Theme of Love and Self-Discovery in \"Persu...</td>\n",
              "      <td>Title: The Theme of Love and Self-Discovery in...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>540</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                                               Title  \\\n",
              "0  Social Class and Marriage in \"Pride and Prejud...   \n",
              "1  The Role of Women in 18th Century England as D...   \n",
              "2  The Theme of Wealth and Its Impact on Relation...   \n",
              "3            The Use of Satire in \"Northanger Abbey\"   \n",
              "4  The Theme of Love and Self-Discovery in \"Persu...   \n",
              "\n",
              "                                                Text        Topic  \\\n",
              "0  Title: Social Class and Marriage in \"Pride and...  Jane Austen   \n",
              "1  Title: The Role of Women in 18th Century Engla...  Jane Austen   \n",
              "2  Title: The Theme of Wealth and Its Impact on R...  Jane Austen   \n",
              "3  Title: The Use of Satire in \"Northanger Abbey\"...  Jane Austen   \n",
              "4  Title: The Theme of Love and Self-Discovery in...  Jane Austen   \n",
              "\n",
              "                    Author  Length  \n",
              "0  ChatGPT (GPT-3.5 Turbo)     574  \n",
              "1  ChatGPT (GPT-3.5 Turbo)     520  \n",
              "2  ChatGPT (GPT-3.5 Turbo)     506  \n",
              "3  ChatGPT (GPT-3.5 Turbo)     607  \n",
              "4  ChatGPT (GPT-3.5 Turbo)     540  "
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Print the first 5 rows of the dataset\n",
        "df.head()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Initialize the similarity classes\n",
        "lcsubseq = LongestCommonSubsequence()\n",
        "lcsubstr = LongestCommonSubstring()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Initialize a tokenizer (we will use the default tokenizer)\n",
        "from string2string.misc.default_tokenizer import Tokenizer\n",
        "tokenizer = Tokenizer(word_delimiter=' ')"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "This is not an efficient way to compute the similarity between all the essays, as we have to iterate over the entire dataset.\n",
        "* We can, however, use parallel processing to speed up the entire computation. Let us see how we can do that! "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "# As before, we are only interested in the upper triangular matrix\n",
        "lcsubstr_matrix = np.zeros((len(df), len(df)))\n",
        "lcsubseq_matrix = np.zeros((len(df), len(df)))\n",
        "\n",
        "# Let us get all the essay pairs in the upper triangular matrix\n",
        "essay_pairs = []\n",
        "for i in range(len(df)):\n",
        "    essay1 = tokenizer.tokenize(df.iloc[i]['Text'])\n",
        "    for j in range(i + 1, len(df)):\n",
        "        essay2 = tokenizer.tokenize(df.iloc[j]['Text'])\n",
        "        essay_pairs.append((essay1, essay2))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "100%|██████████| 79800/79800 [12:42<00:00, 104.66it/s]\n",
            "100%|██████████| 79800/79800 [32:31<00:00, 40.90it/s]  \n"
          ]
        }
      ],
      "source": [
        "# Compute the similarity values for all the essay pairs\n",
        "lcsubstr_results = lcsubstr.compute_multiple_pairs(essay_pairs, num_workers=8, method='joblib')\n",
        "lcsubseq_results = lcsubseq.compute_multiple_pairs(essay_pairs, num_workers=8, method='joblib')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "# lcsubstr_results is a 1-D list of (value, alignment) tuples.. We need to convert it to a 2-D matrix efficiently and store it in lcsubstr_matrix\n",
        "# We can do this by using the np.triu_indices function\n",
        "indices = np.triu_indices(len(df), k=1)\n",
        "lcsubstr_matrix[indices] = [x[0] for x in lcsubstr_results]\n",
        "lcsubstr_matrix = lcsubstr_matrix + lcsubstr_matrix.T\n",
        "\n",
        "# Similarly, we can do the same for lcsubseq_matrix\n",
        "indices = np.triu_indices(len(df), k=1)\n",
        "lcsubseq_matrix[indices] = [x[0] for x in lcsubseq_results]\n",
        "lcsubseq_matrix = lcsubseq_matrix + lcsubseq_matrix.T"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "# For each essay, let us report the top 5 most similar essays, according to LCSubsequence and LCSubstring, and then add them to the dataset\n",
        "top_k = 5\n",
        "\n",
        "topk_lcsubseq_indices = np.argsort(lcsubseq_matrix, axis=1)[:, -top_k:]\n",
        "topk_lcsubstr_indices = np.argsort(lcsubstr_matrix, axis=1)[:, -top_k:]\n",
        "\n",
        "# Add the top-k indices to the dataset\n",
        "df['TopK-LCSubseq-Indices'] = topk_lcsubseq_indices.tolist()\n",
        "df['TopK-LCSubstr-Indices'] = topk_lcsubstr_indices.tolist()\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Title</th>\n",
              "      <th>Text</th>\n",
              "      <th>Topic</th>\n",
              "      <th>Author</th>\n",
              "      <th>Length</th>\n",
              "      <th>TopK-LCSubseq-Indices</th>\n",
              "      <th>TopK-LCSubstr-Indices</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>Social Class and Marriage in \"Pride and Prejud...</td>\n",
              "      <td>Title: Social Class and Marriage in \"Pride and...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>574</td>\n",
              "      <td>[391, 50, 305, 27, 42]</td>\n",
              "      <td>[52, 36, 19, 65, 27]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>The Role of Women in 18th Century England as D...</td>\n",
              "      <td>Title: The Role of Women in 18th Century Engla...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>520</td>\n",
              "      <td>[305, 93, 337, 42, 51]</td>\n",
              "      <td>[0, 42, 75, 51, 301]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>The Theme of Wealth and Its Impact on Relation...</td>\n",
              "      <td>Title: The Theme of Wealth and Its Impact on R...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>506</td>\n",
              "      <td>[213, 93, 25, 0, 22]</td>\n",
              "      <td>[272, 240, 38, 302, 52]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>The Use of Satire in \"Northanger Abbey\"</td>\n",
              "      <td>Title: The Use of Satire in \"Northanger Abbey\"...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>607</td>\n",
              "      <td>[72, 337, 93, 22, 87]</td>\n",
              "      <td>[9, 200, 53, 303, 46]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>The Theme of Love and Self-Discovery in \"Persu...</td>\n",
              "      <td>Title: The Theme of Love and Self-Discovery in...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>540</td>\n",
              "      <td>[12, 179, 33, 22, 25]</td>\n",
              "      <td>[287, 333, 304, 240, 54]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>395</th>\n",
              "      <td>The Representation of Friendship in Shakespear...</td>\n",
              "      <td>Title: The Representation of Friendship in Sha...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>90</td>\n",
              "      <td>[167, 117, 145, 185, 195]</td>\n",
              "      <td>[377, 385, 185, 195, 145]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>396</th>\n",
              "      <td>The Use of Repetition in Shakespeare's Plays: ...</td>\n",
              "      <td>Title: The Use of Repetition in Shakespeare's ...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>335</td>\n",
              "      <td>[389, 213, 196, 391, 146]</td>\n",
              "      <td>[204, 124, 357, 196, 146]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>397</th>\n",
              "      <td>The Significance of Names in Shakespeare's Wor...</td>\n",
              "      <td>Title: The Significance of Names in Shakespear...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>272</td>\n",
              "      <td>[370, 337, 213, 197, 391]</td>\n",
              "      <td>[179, 129, 351, 147, 197]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>398</th>\n",
              "      <td>The Representation of Masculinity in Shakespea...</td>\n",
              "      <td>Title: The Representation of Masculinity in Sh...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>338</td>\n",
              "      <td>[174, 305, 159, 187, 198]</td>\n",
              "      <td>[391, 141, 191, 148, 198]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>399</th>\n",
              "      <td>The Use of Mirrors and Reflections in Shakespe...</td>\n",
              "      <td>Title: The Use of Mirrors and Reflections in S...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>409</td>\n",
              "      <td>[166, 391, 185, 149, 199]</td>\n",
              "      <td>[108, 142, 388, 149, 199]</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>400 rows × 7 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "                                                 Title  \\\n",
              "0    Social Class and Marriage in \"Pride and Prejud...   \n",
              "1    The Role of Women in 18th Century England as D...   \n",
              "2    The Theme of Wealth and Its Impact on Relation...   \n",
              "3              The Use of Satire in \"Northanger Abbey\"   \n",
              "4    The Theme of Love and Self-Discovery in \"Persu...   \n",
              "..                                                 ...   \n",
              "395  The Representation of Friendship in Shakespear...   \n",
              "396  The Use of Repetition in Shakespeare's Plays: ...   \n",
              "397  The Significance of Names in Shakespeare's Wor...   \n",
              "398  The Representation of Masculinity in Shakespea...   \n",
              "399  The Use of Mirrors and Reflections in Shakespe...   \n",
              "\n",
              "                                                  Text                Topic  \\\n",
              "0    Title: Social Class and Marriage in \"Pride and...          Jane Austen   \n",
              "1    Title: The Role of Women in 18th Century Engla...          Jane Austen   \n",
              "2    Title: The Theme of Wealth and Its Impact on R...          Jane Austen   \n",
              "3    Title: The Use of Satire in \"Northanger Abbey\"...          Jane Austen   \n",
              "4    Title: The Theme of Love and Self-Discovery in...          Jane Austen   \n",
              "..                                                 ...                  ...   \n",
              "395  Title: The Representation of Friendship in Sha...  William Shakespeare   \n",
              "396  Title: The Use of Repetition in Shakespeare's ...  William Shakespeare   \n",
              "397  Title: The Significance of Names in Shakespear...  William Shakespeare   \n",
              "398  Title: The Representation of Masculinity in Sh...  William Shakespeare   \n",
              "399  Title: The Use of Mirrors and Reflections in S...  William Shakespeare   \n",
              "\n",
              "                      Author  Length      TopK-LCSubseq-Indices  \\\n",
              "0    ChatGPT (GPT-3.5 Turbo)     574     [391, 50, 305, 27, 42]   \n",
              "1    ChatGPT (GPT-3.5 Turbo)     520     [305, 93, 337, 42, 51]   \n",
              "2    ChatGPT (GPT-3.5 Turbo)     506       [213, 93, 25, 0, 22]   \n",
              "3    ChatGPT (GPT-3.5 Turbo)     607      [72, 337, 93, 22, 87]   \n",
              "4    ChatGPT (GPT-3.5 Turbo)     540      [12, 179, 33, 22, 25]   \n",
              "..                       ...     ...                        ...   \n",
              "395           Text Curie 001      90  [167, 117, 145, 185, 195]   \n",
              "396           Text Curie 001     335  [389, 213, 196, 391, 146]   \n",
              "397           Text Curie 001     272  [370, 337, 213, 197, 391]   \n",
              "398           Text Curie 001     338  [174, 305, 159, 187, 198]   \n",
              "399           Text Curie 001     409  [166, 391, 185, 149, 199]   \n",
              "\n",
              "         TopK-LCSubstr-Indices  \n",
              "0         [52, 36, 19, 65, 27]  \n",
              "1         [0, 42, 75, 51, 301]  \n",
              "2      [272, 240, 38, 302, 52]  \n",
              "3        [9, 200, 53, 303, 46]  \n",
              "4     [287, 333, 304, 240, 54]  \n",
              "..                         ...  \n",
              "395  [377, 385, 185, 195, 145]  \n",
              "396  [204, 124, 357, 196, 146]  \n",
              "397  [179, 129, 351, 147, 197]  \n",
              "398  [391, 141, 191, 148, 198]  \n",
              "399  [108, 142, 388, 149, 199]  \n",
              "\n",
              "[400 rows x 7 columns]"
            ]
          },
          "execution_count": 12,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "df"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Let us compute the rate/score of similarity for each top-k most similar essay\n",
        "all_rates_lcsubseq = []\n",
        "all_rates_lcsubstr = []\n",
        "\n",
        "# Iterate over the dataset and write the rate of similarity for each topK essay\n",
        "for i in range(len(df)):\n",
        "    # Get the top-k most similar essays for each essay\n",
        "    topk_lcsubseq = df.iloc[i]['TopK-LCSubseq-Indices']\n",
        "    topk_lcsubstr = df.iloc[i]['TopK-LCSubstr-Indices']\n",
        "\n",
        "    # Get the text of the essay i\n",
        "    essay = df.iloc[i]['Text']\n",
        "    length = df.iloc[i]['Length']\n",
        "\n",
        "    # For each top-k most similar essay j, compute the similarity (LCS(i,j) / len(i)) and store it in the dataset\n",
        "    rate_lcsubseq = []\n",
        "    rate_lcsubstr = []\n",
        "    for j in topk_lcsubseq:\n",
        "        rate = lcsubseq_matrix[i, j].item() / length\n",
        "        rate = round(rate, 4)\n",
        "        rate_lcsubseq.append(rate)\n",
        "    for j in topk_lcsubstr:\n",
        "        rate = lcsubstr_matrix[i, j].item() / length\n",
        "        rate = round(rate, 4)\n",
        "        rate_lcsubstr.append(rate)\n",
        "\n",
        "    all_rates_lcsubseq.append(rate_lcsubseq)\n",
        "    all_rates_lcsubstr.append(rate_lcsubstr)\n",
        "\n",
        "# Add the rates to the dataset\n",
        "df['TopK-LCSubseq-Scores'] = all_rates_lcsubseq\n",
        "df['TopK-LCSubstr-Scores'] = all_rates_lcsubstr"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Essay #136 \"The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth\" (word count: 421) is similar to:\n",
            "  - Essay #186 (\"The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth\", WC: 560, LCSubseq-Sim-Rate:0.5487)\n",
            "\n",
            "Essay #334 \"The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"\" (word count: 114) is similar to:\n",
            "  - Essay #190 (\"The Significance of Race in Shakespeare's Works: An Exploration of Othello and Titus Andronicus\", WC: 616, LCSubseq-Sim-Rate:0.4737)\n",
            "  - Essay #45 (\"The Role of Money and Inheritance in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Mansfield Park\"\", WC: 488, LCSubseq-Sim-Rate:0.4912)\n",
            "  - Essay #39 (\"The Role of Education in Jane Austen's Novels: A Comparative Study of \"Pride and Prejudice\" and \"Emma\"\", WC: 558, LCSubseq-Sim-Rate:0.5)\n",
            "  - Essay #84 (\"The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"\", WC: 552, LCSubseq-Sim-Rate:0.5439)\n",
            "  - Essay #34 (\"The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"\", WC: 535, LCSubseq-Sim-Rate:0.5614)\n",
            "\n",
            "Essay #356 \"The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra\" (word count: 75) is similar to:\n",
            "  - Essay #183 (\"The Significance of Dreams and Visions in Shakespeare's Works: An Exploration of a Midsummer Night's Dream and Julius Caesar\", WC: 597, LCSubseq-Sim-Rate:0.44)\n",
            "  - Essay #163 (\"The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest\", WC: 562, LCSubseq-Sim-Rate:0.4533)\n",
            "  - Essay #117 (\"The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra\", WC: 422, LCSubseq-Sim-Rate:0.4533)\n",
            "  - Essay #106 (\"The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra\", WC: 488, LCSubseq-Sim-Rate:0.5333)\n",
            "  - Essay #156 (\"The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra\", WC: 575, LCSubseq-Sim-Rate:0.5733)\n",
            "\n",
            "Essay #364 \"The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.\" (word count: 95) is similar to:\n",
            "  - Essay #172 (\"The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream\", WC: 598, LCSubseq-Sim-Rate:0.5053)\n",
            "  - Essay #188 (\"The Representation of Kingship in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth\", WC: 658, LCSubseq-Sim-Rate:0.5158)\n",
            "  - Essay #199 (\"The Use of Mirrors and Reflections in Shakespeare's Tragedies: A Comparative Study of Macbeth and King Lear.\", WC: 680, LCSubseq-Sim-Rate:0.5263)\n",
            "  - Essay #185 (\"The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors\", WC: 722, LCSubseq-Sim-Rate:0.5368)\n",
            "  - Essay #114 (\"The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.\", WC: 465, LCSubseq-Sim-Rate:0.5684)\n",
            "\n",
            "Essay #372 \"The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream\" (word count: 133) is similar to:\n",
            "  - Essay #122 (\"The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream\", WC: 517, LCSubseq-Sim-Rate:0.4887)\n",
            "  - Essay #172 (\"The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream\", WC: 598, LCSubseq-Sim-Rate:0.5038)\n",
            "\n",
            "Essay #393 \"The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream\" (word count: 120) is similar to:\n",
            "  - Essay #176 (\"The Significance of Imagery in Shakespeare's Plays: An Examination of Macbeth and Romeo and Juliet\", WC: 687, LCSubseq-Sim-Rate:0.4167)\n",
            "  - Essay #122 (\"The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream\", WC: 517, LCSubseq-Sim-Rate:0.425)\n",
            "  - Essay #175 (\"The Role of Nature in Shakespeare's Plays: An Analysis of King Lear and the Tempest\", WC: 473, LCSubseq-Sim-Rate:0.4333)\n",
            "  - Essay #143 (\"The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream\", WC: 423, LCSubseq-Sim-Rate:0.4833)\n",
            "  - Essay #193 (\"The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream\", WC: 544, LCSubseq-Sim-Rate:0.5333)\n",
            "\n",
            "Essay #395 \"The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona\" (word count: 90) is similar to:\n",
            "  - Essay #167 (\"The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra\", WC: 390, LCSubseq-Sim-Rate:0.4778)\n",
            "  - Essay #117 (\"The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra\", WC: 422, LCSubseq-Sim-Rate:0.4778)\n",
            "  - Essay #145 (\"The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona\", WC: 436, LCSubseq-Sim-Rate:0.4889)\n",
            "  - Essay #185 (\"The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors\", WC: 722, LCSubseq-Sim-Rate:0.5)\n",
            "  - Essay #195 (\"The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona\", WC: 449, LCSubseq-Sim-Rate:0.6111)\n",
            "\n"
          ]
        }
      ],
      "source": [
        "# Now iterate over the dataset and print all essay titles which have a Rate-LCSubse >= 0.4\n",
        "for i in range(len(df)):\n",
        "    rate_lcsubseq = df.iloc[i]['TopK-LCSubseq-Scores']\n",
        "    rate_lcsubstr = df.iloc[i]['TopK-LCSubstr-Scores']\n",
        "    \n",
        "    # If the rate is greater than 0.5, print the essay title\n",
        "    if any([x > 0.5 for x in rate_lcsubseq]):\n",
        "        title = df.iloc[i]['Title']\n",
        "        word_count = df.iloc[i]['Length']\n",
        "        print(f'Essay #{i} \"{title}\" (word count: {word_count}) is similar to:')\n",
        "        for j in range(len(rate_lcsubseq)):\n",
        "            if rate_lcsubseq[j] >= .4:\n",
        "                essay2_title = df.iloc[df.iloc[i][\"TopK-LCSubseq-Indices\"][j]]['Title']\n",
        "                essay2_word_count = df.iloc[df.iloc[i][\"TopK-LCSubseq-Indices\"][j]]['Length']\n",
        "                print(f'  - Essay #{df.iloc[i][\"TopK-LCSubseq-Indices\"][j]} (\"{essay2_title}\", WC: {essay2_word_count}, LCSubseq-Sim-Rate:{rate_lcsubseq[j]})')\n",
        "                # print(f'  - Essay #{df.iloc[i][\"TopK-LCSubseq\"][j]} (\"{essay2_title}\", WC: {essay2_word_count}, LCSubseq-Sim-Rate:{rate_lcsubseq[j]})')\n",
        "        print()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gl6riMtPL4Rm"
      },
      "source": [
        "## Initializing Faiss Semantic Search Tool"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {
        "id": "ppiuVJj6MAnm"
      },
      "source": [
        "We will use the pre-trained Facebook OPT-125M model from Hugging Face."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yQoMwHL6-0Ix",
        "outputId": "dd7f7277-0ba3-4ea3-c7fa-7691cf868f21"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "Some weights of the model checkpoint at facebook/opt-125m were not used when initializing OPTModel: ['lm_head.weight']\n",
            "- This IS expected if you are initializing OPTModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
            "- This IS NOT expected if you are initializing OPTModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
          ]
        }
      ],
      "source": [
        "# Let's download OPT-125M from Facebook using HuggingFace's transformers library\n",
        "model_name = 'facebook/opt-125m'\n",
        "faiss_search = FaissSearch(model_name_or_path = model_name)"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {
        "id": "AFofgjkpMJkH"
      },
      "source": [
        "We have created an instance of our **Faiss Semantic Search** model, with OPT-125M as our language model. \n",
        "\n",
        "* We are now ready to initialize the corpus with the Plagiarism Detection dataset."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 156,
          "referenced_widgets": [
            "d4fbf14a27284aa58acaefae8296150c",
            "bbc90b4e07e6430ba08aca225d65e5bb",
            "b88c61467c634193b4c23b9e1e09750d",
            "0d53f11e5a8a4adca9a48ec8fcd8f317",
            "08f1f42d82374edfa18d75780ca46d2f",
            "8e239c984c634b918aee5951de82db97",
            "28de6f2606d74fd2aba52da1056f6280",
            "4323eb9b5ff54c3caee2f07925100f65",
            "84abc7e38cc8482fba9b90c25683f4f4",
            "9b38e5be4c8747e3ac4c61bff9f9a307",
            "534fafbfc9d044d8aa9d226b24813542",
            "8bcaf537604a47919d3d15bb393639e4",
            "52202db02dd64fbfb624ba5ad3df4aab",
            "0a40ffbfb1984effa14dda9efbaad3ac",
            "070b7f2f79414e5e8126a68c85d38ebc",
            "90037e4b67804659afb38fadaaa00240",
            "ae881a3c1a644bf6a62426ec09f59596",
            "31e3d86251b74f11ac6e0dcd8d7b2665",
            "9f1a930c103a495ea62de7ef6c836b6e",
            "d4a0e69469214fe28d952c1e13a56fa3",
            "44607ea61e524ad0b993ed70e9c63bbf",
            "c2c89f735e6447d9a94ca745e60205fc"
          ]
        },
        "id": "Vrbw2oa6_5SB",
        "outputId": "975ce641-84eb-42de-cecb-86e2d42fa944"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "100%|██████████| 400/400 [05:11<00:00,  1.29ex/s]\n"
          ]
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Adding FAISS index...\n"
          ]
        },
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "100%|██████████| 1/1 [00:00<00:00, 570.42it/s]\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "Dataset({\n",
              "    features: ['Title', 'Text', 'Topic', 'Author', 'Length', 'TopK-LCSubseq-Indices', 'TopK-LCSubstr-Indices', 'TopK-LCSubseq-Scores', 'TopK-LCSubstr-Scores', 'embeddings'],\n",
              "    num_rows: 400\n",
              "})"
            ]
          },
          "execution_count": 16,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Let's initialize and process the corpus\n",
        "faiss_search.initialize_corpus(\n",
        "    corpus=df,\n",
        "    section='Text', \n",
        "    embedding_type='mean_pooling',\n",
        "    batch_size=16,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "id": "b09vtw4G_5XW"
      },
      "outputs": [],
      "source": [
        "# Let's get the embeddings, titles, and labels\n",
        "embeddings = np.array(faiss_search.dataset['embeddings']).squeeze()\n",
        "titles = faiss_search.dataset['Title']\n",
        "topics = faiss_search.dataset['Topic']"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "id": "p-f6BKWDD_oh"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "(400, 768)\n"
          ]
        }
      ],
      "source": [
        "# Let's print the shape of the patent_embeddings\n",
        "print(embeddings.shape) # (number of essays, embedding dimension)"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Dimensionality Reduction with t-SNE"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The original average-token embeddings of essays are 768-dimensional. We will use t-SNE to reduce the dimensionality to 2, so that we can visualize the essay embeddings in a 2D-space.\n",
        "\n",
        "To accomplish this, we will use the sklearn.manifold.TSNE class. \n",
        "* We will use the default parameters but set the perplexity to 25.\n",
        "* Furthermore, we will set the random_state to 1729, so that we can reproduce the results.\n",
        "* Finally, we wil set the verbose parameter to 1, so that we can see the progress of the algorithm.\n",
        "\n",
        "Now, let's perform dimensionality reduction on the patent embeddings"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "id": "Oa6aD9I9EjaW"
      },
      "outputs": [],
      "source": [
        "# Initialize the TSNE model with the parameters we want to use for dimensionality reduction\n",
        "# We will make use of the tSNE implementation from scikit-learn, with a random seed of 1729 for reproducibility purposes and a perplexity rate of 25\n",
        "tsne = TSNE(n_components=2, perplexity=25, random_state=1729, verbose=1)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IgBrLkgbEjcz",
        "outputId": "0a99d488-1b8f-48a1-8e5c-4a16bad87f6d"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[t-SNE] Computing 76 nearest neighbors...\n",
            "[t-SNE] Indexed 400 samples in 0.001s...\n",
            "[t-SNE] Computed neighbors for 400 samples in 0.110s...\n",
            "[t-SNE] Computed conditional probabilities for sample 400 / 400\n",
            "[t-SNE] Mean sigma: 3.347212\n",
            "[t-SNE] KL divergence after 250 iterations with early exaggeration: 54.924545\n",
            "[t-SNE] KL divergence after 1000 iterations: 0.530900\n"
          ]
        }
      ],
      "source": [
        "# Fit the model to the patent embeddings\n",
        "tsne_embeddings = tsne.fit_transform(embeddings)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(400, 2)"
            ]
          },
          "execution_count": 21,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "tsne_embeddings.shape"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "#### Visualize the embedding space using **matplotloib**."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 863
        },
        "id": "xyhDg7jOGf83",
        "outputId": "5f65c9e2-0e53-4e4b-dfe0-c3d97b3d6917"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Initialize the plot \n",
        "fig = plt.figure(figsize=(12, 8))\n",
        "ax = fig.add_subplot(111)\n",
        " \n",
        "\n",
        "for topic in list(set(topics)):\n",
        "\n",
        "    indices = list(df[df['Topic'] == topic].index) # [i for i, l in enumerate(topics) if l == label]\n",
        " \n",
        "    # Extract the coordinates of the points of this class only\n",
        "    current_tx = np.take(tsne_embeddings[:, 0], indices)\n",
        "    current_ty = np.take(tsne_embeddings[:, 1], indices)\n",
        " \n",
        "    # Add a scatter plot with the corresponding color and label\n",
        "    ax.scatter(current_tx, current_ty, label=topic, s=10)\n",
        " \n",
        "# build a legend using the labels we set previously (let's put a title as well)\n",
        "ax.legend(loc='best', fontsize=14, markerscale=2, ncol=2)\n",
        " \n",
        "plt.title('t-SNE Visualization of the Essays in the Plagiarism Detection Corpus', fontsize=18)\n",
        "# finally, show the plot\n",
        "plt.show()"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "#### We can alternatively create an interactive plot using **plotly**!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {
        "id": "0xU0wU78HSbK"
      },
      "outputs": [],
      "source": [
        "def prepare_plotly_data(embeddings, titles, topics):\n",
        "    # Initialize the lists that will contain the tSNE coordinates, labels, titles, and hover texts (for matplotlib and plotly)\n",
        "    tsne_coords = []\n",
        "    tsne_labels = []\n",
        "    tsne_titles = []\n",
        "    tsne_hover_texts = []\n",
        "\n",
        "    # Let's get the tSNE coordinates, labels, and titles for the most common labels\n",
        "    for i, label in enumerate(topics):\n",
        "        tsne_coords.append(embeddings[i])\n",
        "        tsne_labels.append(label)\n",
        "        tsne_titles.append(titles[i])\n",
        "        tsne_hover_texts.append(f'Title: {titles[i]}')\n",
        "    \n",
        "    # Return the lists\n",
        "    return tsne_coords, tsne_labels, tsne_titles, tsne_hover_texts"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Let's prepare the data for plotly\n",
        "tsne_coords, tsne_labels, tsne_titles, tsne_hover_texts = prepare_plotly_data(\n",
        "    tsne_embeddings, titles, topics)"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We will use the plot_corpus_embeds_with_plotly function from the string2string.misc.plotting_functions module, which makes use of the scatter function from the plotly.express module specifically to visualize the embeddings of a corpus of documents"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Let'x initialize the plotly layout\n",
        "layoot_dict={\n",
        "    \"template\":'simple_white',\n",
        "    \"legend_title_text\":'Topic',\n",
        "    \"legend_font_size\":14,\n",
        "    \"height\":600,\n",
        "    \"width\":1200,\n",
        "    \"title\": \"t-SNE Visualization of the Essays in the Plagiarism Detection Corpus\",\n",
        "    \"title_x\":0.5,\n",
        "    \"xaxis_title\":'Dimension 1',\n",
        "    \"yaxis_title\":'Dimension 2'\n",
        "}"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 617
        },
        "id": "YFB3bYZ9GgAS",
        "outputId": "11864621-db27-4513-c5a6-30c1f66ffa7c"
      },
      "outputs": [
        {
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                "plotlyServerURL": "https://plot.ly"
              },
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                    "Title: The Role of Women in Shakespeare's Plays: A Comparative Study of Portia, Viola, and Lady Macbeth",
                    "Title: The Tragic Hero in Shakespeare's Works: Examining the Characterization of Hamlet, Macbeth, and Othello",
                    "Title: The Concept of Power in Shakespeare's Plays: An Analysis of Richard III, King Lear, and Julius Caesar",
                    "Title: The Use of Imagery in Shakespeare's Sonnets: An Exploration of the Poet's Language and Symbolism",
                    "Title: Shakespeare's Use of Supernatural Elements: A Comparative Study of Macbeth and a Midsummer Night's Dream",
                    "Title: The Theme of Jealousy in Shakespeare's Plays: A Comparative Analysis of Othello and the Winter's Tale",
                    "Title: The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra",
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                    "Title: The Representation of Love in Shakespeare's Sonnets: An Exploration of the Poet's Views on Romantic and Platonic Love",
                    "Title: The Use of Deception in Shakespeare's Comedies: An Analysis of Twelfth Night and Much Ado About Nothing",
                    "Title: The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest",
                    "Title: The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.",
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                    "Title: The Significance of Setting in Shakespeare's Plays: An Examination of Romeo and Juliet and the Merchant of Venice",
                    "Title: The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra",
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                    "Title: The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream",
                    "Title: The Significance of Family Relationships in Shakespeare's Plays: An Examination of King Lear and the Tempest",
                    "Title: The Representation of Justice in Shakespeare's Works: A Comparative Study of the Merchant of Venice and Measure for Measure.",
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                    "Title: The Use of Foreshadowing in Shakespeare's Plays: An Analysis of Julius Caesar and Macbeth",
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                    "Title: The Representation of War in Shakespeare's Plays: An Examination of Henry v and Macbeth",
                    "Title: The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors",
                    "Title: The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth",
                    "Title: The Role of Honor in Shakespeare's Works: An Examination of Othello and Coriolanus",
                    "Title: The Representation of Kingship in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth",
                    "Title: The Use of Metaphors in Shakespeare's Plays: An Analysis of the Tempest and the Winter's Tale",
                    "Title: The Significance of Race in Shakespeare's Works: An Exploration of Othello and Titus Andronicus",
                    "Title: The Representation of Women's Bodies in Shakespeare's Plays: An Examination of the Rape of Lucrece and Titus Andronicus",
                    "Title: The Use of Soliloquies in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth",
                    "Title: The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream",
                    "Title: The Role of Religion in Shakespeare's Tragedies: An Examination of Hamlet and Macbeth",
                    "Title: The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona",
                    "Title: The Use of Repetition in Shakespeare's Plays: An Analysis of Richard III and the Winter's Tale",
                    "Title: The Significance of Names in Shakespeare's Works: An Exploration of Romeo and Juliet and Othello",
                    "Title: The Representation of Masculinity in Shakespeare's Plays: An Examination of the Merchant of Venice and Antony and Cleopatra",
                    "Title: The Use of Mirrors and Reflections in Shakespeare's Tragedies: A Comparative Study of Macbeth and King Lear.",
                    "Title: The Role of Women in Shakespeare's Plays: A Comparative Study of Portia, Viola, and Lady Macbeth",
                    "Title: The Tragic Hero in Shakespeare's Works: Examining the Characterization of Hamlet, Macbeth, and Othello",
                    "Title: The Concept of Power in Shakespeare's Plays: An Analysis of Richard III, King Lear, and Julius Caesar",
                    "Title: The Use of Imagery in Shakespeare's Sonnets: An Exploration of the Poet's Language and Symbolism",
                    "Title: Shakespeare's Use of Supernatural Elements: A Comparative Study of Macbeth and a Midsummer Night's Dream",
                    "Title: The Theme of Jealousy in Shakespeare's Plays: A Comparative Analysis of Othello and the Winter's Tale",
                    "Title: The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra",
                    "Title: The Significance of Madness in Shakespeare's Plays: An Analysis of Hamlet and King Lear",
                    "Title: The Role of Fate and Free Will in Shakespeare's Tragedies: A Comparative Study of Romeo and Juliet, Julius Caesar, and Macbeth",
                    "Title: The Portrayal of Kingship in Shakespeare's Histories: An Examination of Henry IV, Part 1 and Richard II",
                    "Title: The Theme of Revenge in Shakespeare's Plays: An Analysis of Titus Andronicus, Hamlet, and the Tempest",
                    "Title: The Representation of Love in Shakespeare's Sonnets: An Exploration of the Poet's Views on Romantic and Platonic Love",
                    "Title: The Use of Deception in Shakespeare's Comedies: An Analysis of Twelfth Night and Much Ado About Nothing",
                    "Title: The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest",
                    "Title: The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.",
                    "Title: The Representation of Gender Roles in Shakespeare's Plays: An Analysis of as You Like It and the Taming of the Shrew",
                    "Title: The Significance of Setting in Shakespeare's Plays: An Examination of Romeo and Juliet and the Merchant of Venice",
                    "Title: The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra",
                    "Title: The Use of Language in Shakespeare's Plays: An Exploration of the Poet's Linguistic Creativity",
                    "Title: The Representation of Ethnicity in Shakespeare's Plays: An Analysis of Othello and the Merchant of Venice",
                    "Title: The Role of Religion in Shakespeare's Works: An Examination of Measure for Measure and the Tempest",
                    "Title: The Representation of Power and Politics in Shakespeare's Histories: An Analysis of Henry v and Richard III",
                    "Title: The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream",
                    "Title: The Significance of Family Relationships in Shakespeare's Plays: An Examination of King Lear and the Tempest",
                    "Title: The Representation of Justice in Shakespeare's Works: A Comparative Study of the Merchant of Venice and Measure for Measure.",
                    "Title: The Role of Nature in Shakespeare's Plays: An Analysis of King Lear and the Tempest",
                    "Title: The Significance of Imagery in Shakespeare's Plays: An Examination of Macbeth and Romeo and Juliet",
                    "Title: The Representation of Madness in Shakespeare's Plays: A Comparative Study of Hamlet and King Lear",
                    "Title: The Use of Irony in Shakespeare's Works: An Analysis of Twelfth Night and Much Ado About Nothing",
                    "Title: The Theme of Love in Shakespeare's Tragedies: An Exploration of Romeo and Juliet and Antony and Cleopatra",
                    "Title: The Significance of Masks and Disguises in Shakespeare's Comedies: An Examination of as You Like It and the Merchant of Venice",
                    "Title: The Representation of Women's Roles in Shakespeare's Histories: A Comparative Study of Henry v and Richard III",
                    "Title: The Use of Foreshadowing in Shakespeare's Plays: An Analysis of Julius Caesar and Macbeth",
                    "Title: The Significance of Dreams and Visions in Shakespeare's Works: An Exploration of a Midsummer Night's Dream and Julius Caesar",
                    "Title: The Representation of War in Shakespeare's Plays: An Examination of Henry v and Macbeth",
                    "Title: The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors",
                    "Title: The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth",
                    "Title: The Role of Honor in Shakespeare's Works: An Examination of Othello and Coriolanus",
                    "Title: The Representation of Kingship in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth",
                    "Title: The Use of Metaphors in Shakespeare's Plays: An Analysis of the Tempest and the Winter's Tale",
                    "Title: The Significance of Race in Shakespeare's Works: An Exploration of Othello and Titus Andronicus",
                    "Title: The Representation of Women's Bodies in Shakespeare's Plays: An Examination of the Rape of Lucrece and Titus Andronicus",
                    "Title: The Use of Soliloquies in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth",
                    "Title: The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream",
                    "Title: The Role of Religion in Shakespeare's Tragedies: An Examination of Hamlet and Macbeth",
                    "Title: The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona",
                    "Title: The Use of Repetition in Shakespeare's Plays: An Analysis of Richard III and the Winter's Tale",
                    "Title: The Significance of Names in Shakespeare's Works: An Exploration of Romeo and Juliet and Othello",
                    "Title: The Representation of Masculinity in Shakespeare's Plays: An Examination of the Merchant of Venice and Antony and Cleopatra",
                    "Title: The Use of Mirrors and Reflections in Shakespeare's Tragedies: A Comparative Study of Macbeth and King Lear.",
                    "Title: The Complex Portrayal of Women in Shakespeare's Plays",
                    "Title: Shakespeare's Language: The Art of Conveying Meaning and Creating Memorable Characters",
                    "Title: The Many Faces of Love in Shakespeare's Plays",
                    "Title: Shakespeare's Enduring Legacy: How His Works Continue to Shape Modern Culture",
                    "Title: The Supernatural in Shakespeare's Plays: Creating Suspense and Conveying Deeper Meanings",
                    "Title: Shakespeare's Portrayal of Race: Challenging Stereotypes Through Characterization",
                    "Title: Shakespeare's Historical Plays: A Commentary on Contemporary Politics",
                    "Title: The Fool's Role in Shakespeare's Plays: Providing Comic Relief, Commentary, and Contrast",
                    "Title: The Complexities of Masculinity in Shakespeare's Plays",
                    "Title: Shakespeare's Use of Comedy: A Reflection of Society",
                    "Title: The Melodic Magic of Shakespeare: The Role of Music in His Plays",
                    "Title: The Complexities of Power in Shakespeare's Plays",
                    "Title: The Madness in Shakespeare's Plays: A Study of Mental Illness and its Effects on Characters and Relationships",
                    "Title: The Significance of Setting in Shakespeare's Plays",
                    "Title: The Dichotomy of Fate and Free Will in Shakespeare's Plays",
                    "Title: The Inevitability of Death: Shakespeare's Portrayal of Mortality, Grief, and the Afterlife",
                    "Title: Shakespeare's Masterful Use of Irony in His Plays",
                    "Title: The Political World of Shakespeare's Plays",
                    "Title: Shakespeare's Symbolism: Adding Depth to Characters and Themes",
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                    "Title: The Natural World in Shakespeare's Plays: A Reflection of Human Emotions and Actions",
                    "Title: The Representation of Social Class in Shakespeare's Plays",
                    "Title: The Complexities of Family Relationships in Shakespeare's Plays",
                    "Title: Shakespeare's Gender Identity: Challenging Traditional Roles",
                    "Title: Shakespeare's Tragic Vision: A Study of Tragedy in his Plays",
                    "Title: The Supernatural in Shakespeare's Comedies: A Tool for Humor, Love, and Social Commentary",
                    "Title: Shakespeare's Tragic Histories: Exploring the Intersection of History and Universal Themes",
                    "Title: The Importance of Friendship in Shakespeare's Plays",
                    "Title: The Role of Fate in Shakespeare's Comedies",
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                    "Title: The Madness of Hamlet: A Study of Shakespeare's Portrayal",
                    "Title: The Representation of Women in Hamlet: Shakespeare's Depiction of Female Characters and Gender Roles",
                    "Title: The Motif of Disease and Decay in Hamlet: Shakespeare's Use of Imagery to Convey Themes",
                    "Title: The Destructive Power of Ambition in Macbeth",
                    "Title: The Psychological Effects of Guilt in Macbeth",
                    "Title: The Representation of Masculinity in Macbeth: A Gendered Analysis",
                    "Title: The Use of Supernatural Elements in Macbeth: Shakespeare's Masterful Creation of Foreboding and Dramatic Tension",
                    "Title: The Madness of King Lear: A Psychological Analysis",
                    "Title: The Struggle for Power in King Lear",
                    "Title: Exploring the Metaphor of Blindness in King Lear",
                    "Title: The Inevitability of Death in Hamlet",
                    "Title: The Complex and Fraught Relationships between Fathers and Sons in Hamlet",
                    "Title: The Significance of Religious Motifs in Shakespeare's Hamlet",
                    "Title: The Power of Language and Rhetoric in Hamlet",
                    "Title: The Representation of Evil in Macbeth: A Study of Shakespeare's Depiction of Evil Characters and Their Consequences",
                    "Title: The Inevitability of Fate in Macbeth",
                    "Title: Power Dynamics in Macbeth: Shakespeare's Portrayal of the Struggle for Power and Its Effects on Individuals and Society",
                    "Title: The Elusive Nature of Justice in King Lear",
                    "Title: The Search for Self-Knowledge in King Lear",
                    "Title: Symbolism in King Lear: Conveying Themes and Commenting on Human Society",
                    "Title: The Complex Representation of Women in Shakespeare's Plays",
                    "Title: Shakespeare's Language: Masterful Use of Poetic Devices",
                    "Title: Exploring the Different Types of Love in Shakespeare's Plays",
                    "Title: Shakespeare's Enduring Legacy: Exploring His Influence on Modern Culture",
                    "Title: The Power of the Supernatural in Shakespeare's Plays",
                    "Title: Shakespeare's Complex Representation of Race in his Plays",
                    "Title: Shakespeare's Historical Portrayals: A Commentary on Contemporary Politics",
                    "Title: The Jester's Role in Shakespeare's Plays: Providing Comic Relief, Commentary, and Contrast",
                    "Title: Exploring Shakespeare's Representation of Masculinity in His Plays",
                    "Title: Shakespeare's Comedic Genius: The Use of Humor to Engage and Critique Society",
                    "Title: The Art of Musical Language in Shakespeare's Plays",
                    "Title: The Struggle for Power in Shakespeare's Plays",
                    "Title: Madness in Shakespeare's Plays: A Study of Mental Illness and Its Impact on Characters",
                    "Title: The Power of Setting in Shakespeare's Plays",
                    "Title: Fate vs. Free Will in Shakespeare's Works",
                    "Title: The Inevitability of Death: Shakespeare's Portrayal of Mortality and Grief",
                    "Title: The Master of Irony: Shakespeare's Ingenious Use of Verbal and Situational Irony ",
                    "Title: Politics in Shakespeare's Plays: An Analysis of Power, Government, and Consequences",
                    "Title: The Art of Symbolism in Shakespearean Plays",
                    "Title: Shakespeare's Portrayal of Religion in His Plays: A Complex and Nuanced Exploration",
                    "Title: The Natural World in Shakespearean Plays",
                    "Title: Shakespeare's Exploration of Social Class in his Plays",
                    "Title: The Complexity of Family Relationships in Shakespearean Plays",
                    "Title: Shakespeare's Exploration of Gender Identity in his Plays",
                    "Title: Shakespearean Tragedy: The Art of Exploring Deep Emotions and Social Issues",
                    "Title: The Supernatural in Shakespeare's Comedies: A Tool for Humor, Love, and Commentary",
                    "Title: Shakespeare's Historical Influences in Tragedies: A Commentary on Contemporary Issues and Universal Themes",
                    "Title: The Importance and Complexity of Friendship in Shakespeare's Plays",
                    "Title: Fate and Fortune in Shakespearean Comedies",
                    "Title: Shakespeare's Insightful Portrayal of War and Violence",
                    "Title: Madness in Hamlet: A Study of Shakespeare's Portrayal",
                    "Title: The Portrayal of Women in Hamlet: A Gendered Analysis",
                    "Title: The Motif of Disease and Decay in Hamlet: Shakespeare's Conveyance of Themes",
                    "Title: The Destructive Power of Ambition in Macbeth",
                    "Title: The Psychological Effects of Guilt in Macbeth: Shakespeare's Masterful Portrayal",
                    "Title: The Representation of Masculinity in Macbeth",
                    "Title: The Role of Supernatural Elements in Macbeth",
                    "Title: Madness in King Lear: A Portrayal of Psychological Effects and Consequences",
                    "Title: The Struggle for Power in King Lear: An Analysis of its Impact on the Characters and Plot",
                    "Title: The Metaphor of Blindness in Shakespeare's King Lear",
                    "Title: The Inevitability of Death in Hamlet: Shakespeare's Exploration of Mortality",
                    "Title: The Complex and Fraught Relationships of Fathers and Sons in Hamlet",
                    "Title: The Significance of Religious Motifs in Hamlet",
                    "Title: The Power of Language and Rhetoric in Hamlet",
                    "Title: The Portrayal of Evil in Macbeth: An Analysis of Shakespeare's Depiction of Wicked Characters and Their Consequences",
                    "Title: The Power of Fate in Shakespeare's Macbeth",
                    "Title: The Struggle for Power and its Effects on Individuals and Society in Macbeth",
                    "Title: Justice and Injustice in King Lear: Shakespeare's Portrayal",
                    "Title: The Search for Self-Knowledge and Self-Understanding in King Lear",
                    "Title: The Symbolic World of King Lear: An Exploration of Shakespeare's Use of Symbolism",
                    "Title: The Role of Women in Shakespeare's Plays: A Comparative Study of Portia, Viola, and Lady Macbeth",
                    "Title: The Tragic Hero in Shakespeare's Works: Examining the Characterization of Hamlet, Macbeth, and Othello",
                    "Title: The Concept of Power in Shakespeare's Plays: An Analysis of Richard III, King Lear, and Julius Caesar",
                    "Title: The Use of Imagery in Shakespeare's Sonnets: An Exploration of the Poet's Language and Symbolism",
                    "Title: Shakespeare's Use of Supernatural Elements: A Comparative Study of Macbeth and a Midsummer Night's Dream",
                    "Title: The Theme of Jealousy in Shakespeare's Plays: A Comparative Analysis of Othello and the Winter's Tale",
                    "Title: The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra",
                    "Title: The Significance of Madness in Shakespeare's Plays: An Analysis of Hamlet and King Lear",
                    "Title: The Role of Fate and Free Will in Shakespeare's Tragedies: A Comparative Study of Romeo and Juliet, Julius Caesar, and Macbeth",
                    "Title: The Portrayal of Kingship in Shakespeare's Histories: An Examination of Henry IV, Part 1 and Richard II",
                    "Title: The Theme of Revenge in Shakespeare's Plays: An Analysis of Titus Andronicus, Hamlet, and the Tempest",
                    "Title: The Representation of Love in Shakespeare's Sonnets: An Exploration of the Poet's Views on Romantic and Platonic Love",
                    "Title: The Use of Deception in Shakespeare's Comedies: An Analysis of Twelfth Night and Much Ado About Nothing",
                    "Title: The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest",
                    "Title: The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.",
                    "Title: The Representation of Gender Roles in Shakespeare's Plays: An Analysis of as You Like It and the Taming of the Shrew",
                    "Title: The Significance of Setting in Shakespeare's Plays: An Examination of Romeo and Juliet and the Merchant of Venice",
                    "Title: The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra",
                    "Title: The Use of Language in Shakespeare's Plays: An Exploration of the Poet's Linguistic Creativity",
                    "Title: The Representation of Ethnicity in Shakespeare's Plays: An Analysis of Othello and the Merchant of Venice",
                    "Title: The Role of Religion in Shakespeare's Works: An Examination of Measure for Measure and the Tempest",
                    "Title: The Representation of Power and Politics in Shakespeare's Histories: An Analysis of Henry v and Richard III",
                    "Title: The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream",
                    "Title: The Significance of Family Relationships in Shakespeare's Plays: An Examination of King Lear and the Tempest",
                    "Title: The Representation of Justice in Shakespeare's Works: A Comparative Study of the Merchant of Venice and Measure for Measure.",
                    "Title: The Role of Nature in Shakespeare's Plays: An Analysis of King Lear and the Tempest",
                    "Title: The Significance of Imagery in Shakespeare's Plays: An Examination of Macbeth and Romeo and Juliet",
                    "Title: The Representation of Madness in Shakespeare's Plays: A Comparative Study of Hamlet and King Lear",
                    "Title: The Use of Irony in Shakespeare's Works: An Analysis of Twelfth Night and Much Ado About Nothing",
                    "Title: The Theme of Love in Shakespeare's Tragedies: An Exploration of Romeo and Juliet and Antony and Cleopatra",
                    "Title: The Significance of Masks and Disguises in Shakespeare's Comedies: An Examination of as You Like It and the Merchant of Venice",
                    "Title: The Representation of Women's Roles in Shakespeare's Histories: A Comparative Study of Henry v and Richard III",
                    "Title: The Use of Foreshadowing in Shakespeare's Plays: An Analysis of Julius Caesar and Macbeth",
                    "Title: The Significance of Dreams and Visions in Shakespeare's Works: An Exploration of a Midsummer Night's Dream and Julius Caesar",
                    "Title: The Representation of War in Shakespeare's Plays: An Examination of Henry v and Macbeth",
                    "Title: The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors",
                    "Title: The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth",
                    "Title: The Role of Honor in Shakespeare's Works: An Examination of Othello and Coriolanus",
                    "Title: The Representation of Kingship in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth",
                    "Title: The Use of Metaphors in Shakespeare's Plays: An Analysis of the Tempest and the Winter's Tale",
                    "Title: The Significance of Race in Shakespeare's Works: An Exploration of Othello and Titus Andronicus",
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                "title": {
                  "text": "t-SNE Visualization of the Essays in the Plagiarism Detection Corpus",
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                "width": 1200,
                "xaxis": {
                  "anchor": "y",
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      "source": [
        "# We are finally ready to plot the corpus embeddings with plotly! \n",
        "corpus_fig = plot_corpus_embeds_with_plotly(\n",
        "    corpus_embeddings=tsne_coords,\n",
        "    corpus_labels=tsne_labels,\n",
        "    corpus_hover_texts=tsne_hover_texts,\n",
        "    layoot_dict=layoot_dict,\n",
        "    show_plot=True,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "100%|██████████| 400/400 [05:27<00:00,  1.22it/s]\n"
          ]
        }
      ],
      "source": [
        "semantic_similarity_scores = []\n",
        "semantic_similarity_indices = []\n",
        "for query in tqdm(df['Text']):\n",
        "    # Let's get the top 4 results for each query (including the query itself)\n",
        "    results = faiss_search.search(query, k=6)\n",
        "    # Get the indices of the most similar documents (excluding the query itself which is the first result)\n",
        "    similar_texts = results['Text'][1:].values\n",
        "    # Get the similarity scores of the most similar documents and round them to 4 decimal places\n",
        "    similarity_scores = results['score'][1:].values\n",
        "    similarity_scores = [round(score, 4) for score in similarity_scores]\n",
        "    # Get the indices of the most similar documents\n",
        "    similar_score_indices = [df[df['Text'] == text].index[0] for text in similar_texts]\n",
        "    # Append the results to the lists\n",
        "    semantic_similarity_scores.append(similarity_scores)\n",
        "    semantic_similarity_indices.append(similar_score_indices)\n",
        "\n",
        "# Let's add the results to the dataframe\n",
        "df['TopK-Semantic-Similarity-Scores'] = semantic_similarity_scores\n",
        "df['TopK-Semantic-Similarity-Indices'] = semantic_similarity_indices"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "#### Performing a Semantic Search Query on the Corpus\n",
        "* Next, we will perform a semantic search query on the corpus. We will use another ChatGPT-generated essay on the topic of \"*The Depiction of Love and Marriage in Jane Austen and William Shakespeare's Works*\" as our query and find the most semantically similar essays in the corpus.\n",
        "* We will then visualize the results using t-SNE."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Here is the query we want to search for\n",
        "query = r\"\"\"Title: The Depiction of Love and Marriage in Jane Austen and William Shakespeare's Works\n",
        "\n",
        "Both Jane Austen and William Shakespeare present complex and nuanced depictions of love and marriage in their works, highlighting the social conventions and power dynamics that shape courtship and marital relationships. However, while Austen's novels emphasize the importance of compatibility, mutual respect, and shared values in successful marriages, Shakespeare's plays often explore the tragic consequences of love that is driven by passion and societal pressure rather than genuine affection.\n",
        "\n",
        "Jane Austen's novels, such as Pride and Prejudice and Sense and Sensibility, are renowned for their sharp critique of the social norms and gender roles that govern courtship and marriage in the Regency era. Austen challenges the prevailing notion that marriage is primarily a means of securing financial stability and social status, portraying characters who seek genuine emotional and intellectual connections with their partners. For instance, in Pride and Prejudice, Elizabeth Bennet resists her mother's pressure to marry a wealthy and titled man and instead falls in love with Mr. Darcy, a man whom she initially dislikes due to his pride and aloofness. Their relationship evolves through a series of misunderstandings and self-reflection, leading to a mutual recognition of their faults and virtues. Similarly, in Sense and Sensibility, the Dashwood sisters navigate the challenges of romantic attachment and social expectations, ultimately finding happiness with men who share their values and interests.\n",
        "\n",
        "In contrast, William Shakespeare's plays, such as Romeo and Juliet and Othello, often depict love and marriage as tragic and fraught with conflict. Shakespeare portrays characters who are driven by intense emotions and societal pressures, leading them to make rash decisions that result in ruin and despair. For example, in Romeo and Juliet, the young lovers defy their feuding families and elope, but their passion is ultimately their downfall, as their families' enmity leads to a series of tragic events that culminate in their deaths. Similarly, in Othello, the titular character's jealousy and mistrust of his wife, Desdemona, ultimately leads to her murder, highlighting the destructive power of toxic masculinity and insecurity.\n",
        "\n",
        "Furthermore, while Austen's novels emphasize the importance of compatibility and shared values in successful marriages, Shakespeare's plays often depict marriages that are fraught with power imbalances and emotional distance. For instance, in The Taming of the Shrew, Petruchio marries Katherine, a headstrong and independent woman, and seeks to \"tame\" her into submission through verbal and physical abuse. Although the play is often interpreted as a satire of gender norms, it nevertheless reinforces the patriarchal notion that women must be subordinated to men in marriage. Similarly, in Macbeth, the titular character's ambition and thirst for power lead him to murder his king and estrange himself from his wife, Lady Macbeth, who ultimately succumbs to guilt and madness.\n",
        "\n",
        "In conclusion, Jane Austen and William Shakespeare offer contrasting depictions of love and marriage in their works, reflecting the social and cultural norms of their respective eras. Austen's novels emphasize the importance of emotional and intellectual compatibility in successful marriages, challenging the notion that marriage is primarily a financial transaction. In contrast, Shakespeare's plays often explore the tragic consequences of love that is driven by passion and societal pressure rather than genuine affection. While both Austen and Shakespeare offer complex and nuanced depictions of love and marriage, their works ultimately serve as a commentary on the enduring human desire for connection and companionship.\n",
        "\n",
        "Word Count: 797\n",
        "\"\"\"\n",
        "\n",
        "# Let's get the top 10 results\n",
        "results = faiss_search.search(query, k=15)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {},
      "outputs": [
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              "      <th>Author</th>\n",
              "      <th>Length</th>\n",
              "      <th>TopK-LCSubseq-Indices</th>\n",
              "      <th>TopK-LCSubstr-Indices</th>\n",
              "      <th>TopK-LCSubseq-Scores</th>\n",
              "      <th>TopK-LCSubstr-Scores</th>\n",
              "      <th>embeddings</th>\n",
              "      <th>score</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>The Representation of Love and Marriage in Jan...</td>\n",
              "      <td>Title: The Representation of Love and Marriage...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>501</td>\n",
              "      <td>[42, 4, 162, 33, 25]</td>\n",
              "      <td>[176, 178, 160, 333, 33]</td>\n",
              "      <td>[0.2076, 0.2076, 0.2096, 0.2116, 0.2275]</td>\n",
              "      <td>[0.016, 0.016, 0.016, 0.02, 0.0259]</td>\n",
              "      <td>[0.12582623958587646, 1.0541960000991821, -1.1...</td>\n",
              "      <td>34.530983</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>The Concept of Courtship in Jane Austen's Nove...</td>\n",
              "      <td>Title: The Concept of Courtship in Jane Austen...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>554</td>\n",
              "      <td>[90, 0, 45, 39, 41]</td>\n",
              "      <td>[349, 99, 39, 90, 340]</td>\n",
              "      <td>[0.2238, 0.2238, 0.2274, 0.2347, 0.2365]</td>\n",
              "      <td>[0.0199, 0.0199, 0.0235, 0.0289, 0.0289]</td>\n",
              "      <td>[0.14683929085731506, 1.157120704650879, -0.89...</td>\n",
              "      <td>35.640686</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>The Concept of Courtship in Jane Austen's Nove...</td>\n",
              "      <td>Title: The Concept of Courtship in Jane Austen...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>531</td>\n",
              "      <td>[0, 5, 39, 305, 40]</td>\n",
              "      <td>[49, 349, 99, 40, 340]</td>\n",
              "      <td>[0.2128, 0.2147, 0.2147, 0.2203, 0.2335]</td>\n",
              "      <td>[0.0207, 0.0207, 0.0207, 0.0301, 0.0301]</td>\n",
              "      <td>[0.24101261794567108, 0.742192268371582, -0.87...</td>\n",
              "      <td>37.584045</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>The Portrayal of Marriage and Family Life in \"...</td>\n",
              "      <td>Title: The Portrayal of Marriage and Family Li...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>395</td>\n",
              "      <td>[47, 5, 22, 32, 12]</td>\n",
              "      <td>[269, 48, 22, 312, 12]</td>\n",
              "      <td>[0.2481, 0.2532, 0.2532, 0.2582, 0.3114]</td>\n",
              "      <td>[0.0152, 0.0177, 0.0177, 0.0304, 0.0456]</td>\n",
              "      <td>[0.19256295263767242, 1.591489315032959, -1.03...</td>\n",
              "      <td>38.129040</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>The Representation of Love and Marriage in Jan...</td>\n",
              "      <td>Title: The Representation of Love and Marriage...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>396</td>\n",
              "      <td>[0, 83, 22, 25, 4]</td>\n",
              "      <td>[46, 0, 25, 333, 83]</td>\n",
              "      <td>[0.2525, 0.2677, 0.2677, 0.2854, 0.2904]</td>\n",
              "      <td>[0.0202, 0.0202, 0.0253, 0.0253, 0.0328]</td>\n",
              "      <td>[0.02844689041376114, 1.0151571035385132, -0.9...</td>\n",
              "      <td>43.324501</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>Love and Class Struggle in Jane Austen's “Sens...</td>\n",
              "      <td>Title: Love and Class Struggle in Jane Austen'...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>533</td>\n",
              "      <td>[213, 337, 22, 0, 25]</td>\n",
              "      <td>[42, 38, 325, 1, 25]</td>\n",
              "      <td>[0.2045, 0.2064, 0.2101, 0.2345, 0.2402]</td>\n",
              "      <td>[0.015, 0.0169, 0.0188, 0.0188, 0.0244]</td>\n",
              "      <td>[0.24964095652103424, 1.5403356552124023, -1.2...</td>\n",
              "      <td>44.673409</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>The Significance of Money and Property in Jane...</td>\n",
              "      <td>Title: The Significance of Money and Property ...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>455</td>\n",
              "      <td>[70, 12, 41, 20, 29]</td>\n",
              "      <td>[20, 97, 37, 329, 29]</td>\n",
              "      <td>[0.2088, 0.2132, 0.2154, 0.2176, 0.2352]</td>\n",
              "      <td>[0.0132, 0.0132, 0.0176, 0.044, 0.044]</td>\n",
              "      <td>[0.2702871859073639, 1.0940738916397095, -1.14...</td>\n",
              "      <td>46.135811</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>Social Class and Marriage in \"Pride and Prejud...</td>\n",
              "      <td>Title: Social Class and Marriage in \"Pride and...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>559</td>\n",
              "      <td>[213, 32, 22, 305, 0]</td>\n",
              "      <td>[299, 84, 41, 300, 0]</td>\n",
              "      <td>[0.2075, 0.2182, 0.22, 0.2218, 0.2326]</td>\n",
              "      <td>[0.0107, 0.0125, 0.0125, 0.0143, 0.0143]</td>\n",
              "      <td>[0.04900261014699936, 1.613915205001831, -1.06...</td>\n",
              "      <td>46.387897</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>Jane Austen's Representation of Marriage as a ...</td>\n",
              "      <td>Title: Jane Austen's Representation of Marriag...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>575</td>\n",
              "      <td>[1, 20, 22, 51, 42]</td>\n",
              "      <td>[45, 99, 20, 342, 42]</td>\n",
              "      <td>[0.1826, 0.1843, 0.1843, 0.1843, 0.2104]</td>\n",
              "      <td>[0.0104, 0.0104, 0.0104, 0.0226, 0.0243]</td>\n",
              "      <td>[0.2778869867324829, 2.0291404724121094, -1.06...</td>\n",
              "      <td>46.455025</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>The Portrayal of Marriage and Family Life in \"...</td>\n",
              "      <td>Title: The Portrayal of Marriage and Family Li...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>600</td>\n",
              "      <td>[47, 5, 32, 305, 337]</td>\n",
              "      <td>[93, 17, 312, 76, 62]</td>\n",
              "      <td>[0.2083, 0.2083, 0.2233, 0.225, 0.225]</td>\n",
              "      <td>[0.0133, 0.0183, 0.02, 0.02, 0.03]</td>\n",
              "      <td>[-0.015704311430454254, 0.8836566209793091, -1...</td>\n",
              "      <td>49.198845</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>The Politics of Courtship: Jane Austen’s “Nort...</td>\n",
              "      <td>Title: The Politics of Courtship: Jane Austen’...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>637</td>\n",
              "      <td>[22, 337, 24, 213, 305]</td>\n",
              "      <td>[66, 88, 38, 324, 24]</td>\n",
              "      <td>[0.19, 0.19, 0.1915, 0.1962, 0.1978]</td>\n",
              "      <td>[0.0126, 0.0126, 0.0126, 0.0235, 0.0251]</td>\n",
              "      <td>[0.5348840951919556, 2.1395230293273926, -0.98...</td>\n",
              "      <td>49.431919</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>The Complexity of Family Relationships in Shak...</td>\n",
              "      <td>Title: The Complexity of Family Relationships ...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>531</td>\n",
              "      <td>[270, 261, 213, 267, 211]</td>\n",
              "      <td>[297, 124, 217, 212, 173]</td>\n",
              "      <td>[0.2411, 0.2429, 0.2561, 0.2655, 0.2674]</td>\n",
              "      <td>[0.0169, 0.0169, 0.0169, 0.0207, 0.0207]</td>\n",
              "      <td>[0.28741008043289185, 1.6478996276855469, -1.0...</td>\n",
              "      <td>49.476650</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>Social Class and Marriage in \"Pride and Prejud...</td>\n",
              "      <td>Title: Social Class and Marriage in \"Pride and...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>574</td>\n",
              "      <td>[391, 50, 305, 27, 42]</td>\n",
              "      <td>[52, 36, 19, 65, 27]</td>\n",
              "      <td>[0.223, 0.2265, 0.2352, 0.2352, 0.2387]</td>\n",
              "      <td>[0.0157, 0.0157, 0.0157, 0.0174, 0.0366]</td>\n",
              "      <td>[0.10653390735387802, 1.884557843208313, -0.77...</td>\n",
              "      <td>49.937317</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>The Character of Mr. Darcy in \"Pride and Preju...</td>\n",
              "      <td>Title: The Character of Mr. Darcy in \"Pride an...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>539</td>\n",
              "      <td>[213, 5, 188, 159, 36]</td>\n",
              "      <td>[8, 335, 0, 336, 36]</td>\n",
              "      <td>[0.2134, 0.2152, 0.2171, 0.2263, 0.2393]</td>\n",
              "      <td>[0.0111, 0.0111, 0.0111, 0.0297, 0.0297]</td>\n",
              "      <td>[0.15240885317325592, 1.464534044265747, -1.09...</td>\n",
              "      <td>50.795135</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>Jane Austen's Representation of Marriage as a ...</td>\n",
              "      <td>Title: Jane Austen's Representation of Marriag...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>649</td>\n",
              "      <td>[5, 337, 305, 213, 0]</td>\n",
              "      <td>[40, 25, 1, 342, 92]</td>\n",
              "      <td>[0.1988, 0.2003, 0.2049, 0.2096, 0.2111]</td>\n",
              "      <td>[0.0123, 0.0123, 0.0139, 0.02, 0.0216]</td>\n",
              "      <td>[0.4359247088432312, 1.8354029655456543, -0.81...</td>\n",
              "      <td>50.957336</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                                                Title  \\\n",
              "0   The Representation of Love and Marriage in Jan...   \n",
              "1   The Concept of Courtship in Jane Austen's Nove...   \n",
              "2   The Concept of Courtship in Jane Austen's Nove...   \n",
              "3   The Portrayal of Marriage and Family Life in \"...   \n",
              "4   The Representation of Love and Marriage in Jan...   \n",
              "5   Love and Class Struggle in Jane Austen's “Sens...   \n",
              "6   The Significance of Money and Property in Jane...   \n",
              "7   Social Class and Marriage in \"Pride and Prejud...   \n",
              "8   Jane Austen's Representation of Marriage as a ...   \n",
              "9   The Portrayal of Marriage and Family Life in \"...   \n",
              "10  The Politics of Courtship: Jane Austen’s “Nort...   \n",
              "11  The Complexity of Family Relationships in Shak...   \n",
              "12  Social Class and Marriage in \"Pride and Prejud...   \n",
              "13  The Character of Mr. Darcy in \"Pride and Preju...   \n",
              "14  Jane Austen's Representation of Marriage as a ...   \n",
              "\n",
              "                                                 Text                Topic  \\\n",
              "0   Title: The Representation of Love and Marriage...          Jane Austen   \n",
              "1   Title: The Concept of Courtship in Jane Austen...          Jane Austen   \n",
              "2   Title: The Concept of Courtship in Jane Austen...          Jane Austen   \n",
              "3   Title: The Portrayal of Marriage and Family Li...          Jane Austen   \n",
              "4   Title: The Representation of Love and Marriage...          Jane Austen   \n",
              "5   Title: Love and Class Struggle in Jane Austen'...          Jane Austen   \n",
              "6   Title: The Significance of Money and Property ...          Jane Austen   \n",
              "7   Title: Social Class and Marriage in \"Pride and...          Jane Austen   \n",
              "8   Title: Jane Austen's Representation of Marriag...          Jane Austen   \n",
              "9   Title: The Portrayal of Marriage and Family Li...          Jane Austen   \n",
              "10  Title: The Politics of Courtship: Jane Austen’...          Jane Austen   \n",
              "11  Title: The Complexity of Family Relationships ...  William Shakespeare   \n",
              "12  Title: Social Class and Marriage in \"Pride and...          Jane Austen   \n",
              "13  Title: The Character of Mr. Darcy in \"Pride an...          Jane Austen   \n",
              "14  Title: Jane Austen's Representation of Marriag...          Jane Austen   \n",
              "\n",
              "                     Author  Length      TopK-LCSubseq-Indices  \\\n",
              "0   ChatGPT (GPT-3.5 Turbo)     501       [42, 4, 162, 33, 25]   \n",
              "1   ChatGPT (GPT-3.5 Turbo)     554        [90, 0, 45, 39, 41]   \n",
              "2   ChatGPT (GPT-3.5 Turbo)     531        [0, 5, 39, 305, 40]   \n",
              "3   ChatGPT (GPT-3.5 Turbo)     395        [47, 5, 22, 32, 12]   \n",
              "4   ChatGPT (GPT-3.5 Turbo)     396         [0, 83, 22, 25, 4]   \n",
              "5   ChatGPT (GPT-3.5 Turbo)     533      [213, 337, 22, 0, 25]   \n",
              "6   ChatGPT (GPT-3.5 Turbo)     455       [70, 12, 41, 20, 29]   \n",
              "7   ChatGPT (GPT-3.5 Turbo)     559      [213, 32, 22, 305, 0]   \n",
              "8   ChatGPT (GPT-3.5 Turbo)     575        [1, 20, 22, 51, 42]   \n",
              "9   ChatGPT (GPT-3.5 Turbo)     600      [47, 5, 32, 305, 337]   \n",
              "10  ChatGPT (GPT-3.5 Turbo)     637    [22, 337, 24, 213, 305]   \n",
              "11  ChatGPT (GPT-3.5 Turbo)     531  [270, 261, 213, 267, 211]   \n",
              "12  ChatGPT (GPT-3.5 Turbo)     574     [391, 50, 305, 27, 42]   \n",
              "13  ChatGPT (GPT-3.5 Turbo)     539     [213, 5, 188, 159, 36]   \n",
              "14  ChatGPT (GPT-3.5 Turbo)     649      [5, 337, 305, 213, 0]   \n",
              "\n",
              "        TopK-LCSubstr-Indices                      TopK-LCSubseq-Scores  \\\n",
              "0    [176, 178, 160, 333, 33]  [0.2076, 0.2076, 0.2096, 0.2116, 0.2275]   \n",
              "1      [349, 99, 39, 90, 340]  [0.2238, 0.2238, 0.2274, 0.2347, 0.2365]   \n",
              "2      [49, 349, 99, 40, 340]  [0.2128, 0.2147, 0.2147, 0.2203, 0.2335]   \n",
              "3      [269, 48, 22, 312, 12]  [0.2481, 0.2532, 0.2532, 0.2582, 0.3114]   \n",
              "4        [46, 0, 25, 333, 83]  [0.2525, 0.2677, 0.2677, 0.2854, 0.2904]   \n",
              "5        [42, 38, 325, 1, 25]  [0.2045, 0.2064, 0.2101, 0.2345, 0.2402]   \n",
              "6       [20, 97, 37, 329, 29]  [0.2088, 0.2132, 0.2154, 0.2176, 0.2352]   \n",
              "7       [299, 84, 41, 300, 0]    [0.2075, 0.2182, 0.22, 0.2218, 0.2326]   \n",
              "8       [45, 99, 20, 342, 42]  [0.1826, 0.1843, 0.1843, 0.1843, 0.2104]   \n",
              "9       [93, 17, 312, 76, 62]    [0.2083, 0.2083, 0.2233, 0.225, 0.225]   \n",
              "10      [66, 88, 38, 324, 24]      [0.19, 0.19, 0.1915, 0.1962, 0.1978]   \n",
              "11  [297, 124, 217, 212, 173]  [0.2411, 0.2429, 0.2561, 0.2655, 0.2674]   \n",
              "12       [52, 36, 19, 65, 27]   [0.223, 0.2265, 0.2352, 0.2352, 0.2387]   \n",
              "13       [8, 335, 0, 336, 36]  [0.2134, 0.2152, 0.2171, 0.2263, 0.2393]   \n",
              "14       [40, 25, 1, 342, 92]  [0.1988, 0.2003, 0.2049, 0.2096, 0.2111]   \n",
              "\n",
              "                        TopK-LCSubstr-Scores  \\\n",
              "0        [0.016, 0.016, 0.016, 0.02, 0.0259]   \n",
              "1   [0.0199, 0.0199, 0.0235, 0.0289, 0.0289]   \n",
              "2   [0.0207, 0.0207, 0.0207, 0.0301, 0.0301]   \n",
              "3   [0.0152, 0.0177, 0.0177, 0.0304, 0.0456]   \n",
              "4   [0.0202, 0.0202, 0.0253, 0.0253, 0.0328]   \n",
              "5    [0.015, 0.0169, 0.0188, 0.0188, 0.0244]   \n",
              "6     [0.0132, 0.0132, 0.0176, 0.044, 0.044]   \n",
              "7   [0.0107, 0.0125, 0.0125, 0.0143, 0.0143]   \n",
              "8   [0.0104, 0.0104, 0.0104, 0.0226, 0.0243]   \n",
              "9         [0.0133, 0.0183, 0.02, 0.02, 0.03]   \n",
              "10  [0.0126, 0.0126, 0.0126, 0.0235, 0.0251]   \n",
              "11  [0.0169, 0.0169, 0.0169, 0.0207, 0.0207]   \n",
              "12  [0.0157, 0.0157, 0.0157, 0.0174, 0.0366]   \n",
              "13  [0.0111, 0.0111, 0.0111, 0.0297, 0.0297]   \n",
              "14    [0.0123, 0.0123, 0.0139, 0.02, 0.0216]   \n",
              "\n",
              "                                           embeddings      score  \n",
              "0   [0.12582623958587646, 1.0541960000991821, -1.1...  34.530983  \n",
              "1   [0.14683929085731506, 1.157120704650879, -0.89...  35.640686  \n",
              "2   [0.24101261794567108, 0.742192268371582, -0.87...  37.584045  \n",
              "3   [0.19256295263767242, 1.591489315032959, -1.03...  38.129040  \n",
              "4   [0.02844689041376114, 1.0151571035385132, -0.9...  43.324501  \n",
              "5   [0.24964095652103424, 1.5403356552124023, -1.2...  44.673409  \n",
              "6   [0.2702871859073639, 1.0940738916397095, -1.14...  46.135811  \n",
              "7   [0.04900261014699936, 1.613915205001831, -1.06...  46.387897  \n",
              "8   [0.2778869867324829, 2.0291404724121094, -1.06...  46.455025  \n",
              "9   [-0.015704311430454254, 0.8836566209793091, -1...  49.198845  \n",
              "10  [0.5348840951919556, 2.1395230293273926, -0.98...  49.431919  \n",
              "11  [0.28741008043289185, 1.6478996276855469, -1.0...  49.476650  \n",
              "12  [0.10653390735387802, 1.884557843208313, -0.77...  49.937317  \n",
              "13  [0.15240885317325592, 1.464534044265747, -1.09...  50.795135  \n",
              "14  [0.4359247088432312, 1.8354029655456543, -0.81...  50.957336  "
            ]
          },
          "execution_count": 32,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "results"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let's print the most similar essays (and their word counts)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "The query essay is similar to the following essays in the corpus:\n",
            "Title: The Representation of Love and Marriage in Jane Austen's \"Persuasion\" - Word Count: 501\n",
            "Title: The Concept of Courtship in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Emma\" - Word Count: 554\n",
            "Title: The Concept of Courtship in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Emma\" - Word Count: 531\n",
            "Title: The Portrayal of Marriage and Family Life in \"Mansfield Park\" and \"Persuasion\" - Word Count: 395\n",
            "Title: The Representation of Love and Marriage in Jane Austen's \"Persuasion\" - Word Count: 396\n",
            "Title: Love and Class Struggle in Jane Austen's “Sense and Sensibility.” - Word Count: 533\n",
            "Title: The Significance of Money and Property in Jane Austen’s Novels: A Study of “Pride and Prejudice” and “Sense and Sensibility.” - Word Count: 455\n",
            "Title: Social Class and Marriage in \"Pride and Prejudice\" - Word Count: 559\n",
            "Title: Jane Austen's Representation of Marriage as a Social Contract in \"Sense and Sensibility\" - Word Count: 575\n",
            "Title: The Portrayal of Marriage and Family Life in \"Mansfield Park\" and \"Persuasion\" - Word Count: 600\n",
            "Title: The Politics of Courtship: Jane Austen’s “Northanger Abbey” as a Critique of the Marriage Market. - Word Count: 637\n",
            "Title: The Complexity of Family Relationships in Shakespearean Plays - Word Count: 531\n",
            "Title: Social Class and Marriage in \"Pride and Prejudice\" - Word Count: 574\n",
            "Title: The Character of Mr. Darcy in \"Pride and Prejudice\": A Study of Austen's Representation of Masculinity - Word Count: 539\n",
            "Title: Jane Austen's Representation of Marriage as a Social Contract in \"Sense and Sensibility\" - Word Count: 649\n"
          ]
        }
      ],
      "source": [
        "\n",
        "print(f'The query essay is similar to the following essays in the corpus:')\n",
        "# Go over the results and print the title and word count of each essay\n",
        "for index, row in results.iterrows():\n",
        "    title = row['Title']\n",
        "    word_count = row['Length']\n",
        "    score = row['score']\n",
        "    print(f'Title: {title} - Word Count: {word_count}')\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[t-SNE] Computing 76 nearest neighbors...\n",
            "[t-SNE] Indexed 401 samples in 0.000s...\n",
            "[t-SNE] Computed neighbors for 401 samples in 0.017s...\n",
            "[t-SNE] Computed conditional probabilities for sample 401 / 401\n",
            "[t-SNE] Mean sigma: 3.341888\n",
            "[t-SNE] KL divergence after 250 iterations with early exaggeration: 55.066166\n",
            "[t-SNE] KL divergence after 1000 iterations: 0.531256\n"
          ]
        }
      ],
      "source": [
        "# Get the embeddings of the query and concatenate them with the patent embeddings\n",
        "query_embeddings = faiss_search.get_embeddings([query], embedding_type=\"mean_pooling\").detach().cpu().numpy()\n",
        "concatenated_data = np.concatenate((embeddings, query_embeddings), axis=0)\n",
        "\n",
        "# Let's fit the tSNE model to the concatenated data\n",
        "tsne_all_embeddings = tsne.fit_transform(concatenated_data) \n",
        "\n",
        "# Our query embeddings are the last 1 in the concatenated data\n",
        "tsne_query_embeddings = tsne_all_embeddings[-1]\n",
        "\n",
        "# Get the tSNE coordinates, labels, titles, and hover texts for the most common labels\n",
        "tsne_coords, tsne_labels, tsne_titles, tsne_hover_texts = prepare_plotly_data(\n",
        "    tsne_all_embeddings, titles, topics)"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "#### Visualization of the Search Results\n",
        "\n",
        "Let us plot both the corpus embeddings and the query embedding in the same plot!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "application/vnd.plotly.v1+json": {
              "config": {
                "plotlyServerURL": "https://plot.ly"
              },
              "data": [
                {
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                    "Title: The Theme of Wealth and Its Impact on Relationships in \"Emma\"",
                    "Title: The Use of Satire in \"Northanger Abbey\"",
                    "Title: The Theme of Love and Self-Discovery in \"Persuasion\"",
                    "Title: The Portrayal of Masculinity in \"Mansfield Park\"",
                    "Title: The Role of Education in \"Emma\" and \"Northanger Abbey\"",
                    "Title: The Concept of Duty and Obligation in \"Sense and Sensibility\"",
                    "Title: The Use of Irony in \"Pride and Prejudice\"",
                    "Title: The Influence of Gothic Literature on \"Northanger Abbey\"",
                    "Title: The Representation of Femininity and Masculinity in \"Sense and Sensibility\" and \"Mansfield Park\"",
                    "Title: The Role of Parents and Guardians in Shaping the Lives of Young Women in \"Pride and Prejudice\" and \"Emma\"",
                    "Title: The Portrayal of Marriage and Family Life in \"Mansfield Park\" and \"Persuasion\"",
                    "Title: The Use of Language and Dialogue to Reveal Character in \"Emma\" and \"Northanger Abbey\"",
                    "Title: The Theme of Appearance Versus Reality in \"Sense and Sensibility\" and \"Pride and Prejudice\"",
                    "Title: The Impact of Societal Expectations on the Choices and Actions of Characters in \"Emma\" and \"Mansfield Park\"",
                    "Title: The Representation of Social Mobility and Upward Mobility in \"Pride and Prejudice\" and \"Sense and Sensibility\"",
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                    "Title: The Role of Friendship in \"Emma\" and \"Northanger Abbey\"",
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                    "Title: Gender and Power in Jane Austen’s Novels: A Comparative Study of “Sense and Sensibility,” “Pride and Prejudice,” and “Mansfield Park.”",
                    "Title: Domesticity and Revolution: The Paradoxes of Jane Austen’s “Emma” in the Age of Revolution.",
                    "Title: The Satire of Morality and Manners in “Persuasion”: How Jane Austen's Last Novel Subverts the Popular Conventions of Her Time.",
                    "Title: The Transformation of the Heroine in Jane Austen's Novels: From Passive Observers to Active Participants.",
                    "Title: The Politics of Courtship: Jane Austen’s “Northanger Abbey” as a Critique of the Marriage Market.",
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                    "Title: Jane Austen and the Gothic: A Comparative Analysis of “Northanger Abbey” and “Mansfield Park.”",
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                    "Title: The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"",
                    "Title: The Use of Letter Writing in Jane Austen's Novels: A Comparative Analysis of \"Sense and Sensibility\" and \"Pride and Prejudice\"",
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                    "Title: The Importance of Self-Reflection in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Persuasion\"",
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                    "Title: Social Class and Marriage in \"Pride and Prejudice\"",
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                    "Title: The Theme of Appearance Versus Reality in \"Sense and Sensibility\" and \"Pride and Prejudice\"",
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                    "Title: The Representation of Social Mobility and Upward Mobility in \"Pride and Prejudice\" and \"Sense and Sensibility\"",
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                    "Title: The Use of Humor and Wit in Austen's Novels.",
                    "Title: Gender and Power in Jane Austen’s Novels: A Comparative Study of “Sense and Sensibility,” “Pride and Prejudice,” and “Mansfield Park.”",
                    "Title: Domesticity and Revolution: The Paradoxes of Jane Austen’s “Emma” in the Age of Revolution.",
                    "Title: The Satire of Morality and Manners in “Persuasion”: How Jane Austen's Last Novel Subverts the Popular Conventions of Her Time.",
                    "Title: The Transformation of the Heroine in Jane Austen's Novels: From Passive Observers to Active Participants.",
                    "Title: The Politics of Courtship: Jane Austen’s “Northanger Abbey” as a Critique of the Marriage Market.",
                    "Title: Love and Class Struggle in Jane Austen's “Sense and Sensibility.”",
                    "Title: Jane Austen and the Gothic: A Comparative Analysis of “Northanger Abbey” and “Mansfield Park.”",
                    "Title: Narrative Voice and Free Indirect Discourse in Jane Austen’s “Pride and Prejudice.”",
                    "Title: Female Authorship and the Novel in Jane Austen’s “Emma.”",
                    "Title: The Significance of Money and Property in Jane Austen’s Novels: A Study of “Pride and Prejudice” and “Sense and Sensibility.”",
                    "Title: The Role of Food and Eating in Jane Austen's Novels: A Study of \"Emma\" and \"Sense and Sensibility\"",
                    "Title: The Concept of Femininity in Jane Austen's \"Pride and Prejudice\": A Close Reading of Elizabeth Bennet's Character",
                    "Title: The Importance of Social Etiquette in \"Mansfield Park\" and \"Northanger Abbey\"",
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                    "Title: The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"",
                    "Title: The Use of Letter Writing in Jane Austen's Novels: A Comparative Analysis of \"Sense and Sensibility\" and \"Pride and Prejudice\"",
                    "Title: The Character of Mr. Darcy in \"Pride and Prejudice\": A Study of Austen's Representation of Masculinity",
                    "Title: The Satirical Critique of the Upper Class in \"Northanger Abbey\"",
                    "Title: Jane Austen's Representation of Female Friendship in \"Emma\" and \"Sense and Sensibility\"",
                    "Title: The Role of Education in Jane Austen's Novels: A Comparative Study of \"Pride and Prejudice\" and \"Emma\"",
                    "Title: The Concept of Courtship in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Emma\"",
                    "Title: The Importance of Dance in Jane Austen's Novels: A Comparative Analysis of \"Pride and Prejudice\" and \"Emma\"",
                    "Title: Jane Austen's Representation of Marriage as a Social Contract in \"Sense and Sensibility\"",
                    "Title: The Significance of the Governess Figure in Jane Austen's \"Mansfield Park\"",
                    "Title: Jane Austen's Critique of the Church and Religion in \"Mansfield Park\"",
                    "Title: The Role of Money and Inheritance in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Mansfield Park\"",
                    "Title: The Representation of Female Agency in Jane Austen's \"Northanger Abbey\"",
                    "Title: Jane Austen's Use of Irony and Humor in \"Persuasion\"",
                    "Title: The Importance of Self-Reflection in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Persuasion\"",
                    "Title: The Representation of Female Beauty and Aging in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Sense and Sensibility\"",
                    "Title: Social Class and Marriage in \"Pride and Prejudice\"",
                    "Title: The Role of Women in 18th Century England as Depicted in \"Sense and Sensibility\"",
                    "Title: The Theme of Wealth and Its Impact on Relationships in \"Emma\"",
                    "Title: The Use of Satire in \"Northanger Abbey\"",
                    "Title: The Theme of Love and Self-Discovery in \"Persuasion\"",
                    "Title: The Portrayal of Masculinity in \"Mansfield Park\"",
                    "Title: The Role of Education in \"Emma\" and \"Northanger Abbey\"",
                    "Title: The Concept of Duty and Obligation in \"Sense and Sensibility\"",
                    "Title: The Use of Irony in \"Pride and Prejudice\"",
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                    "Title: The Role of Parents and Guardians in Shaping the Lives of Young Women in \"Pride and Prejudice\" and \"Emma\"",
                    "Title: The Portrayal of Marriage and Family Life in \"Mansfield Park\" and \"Persuasion\"",
                    "Title: The Use of Language and Dialogue to Reveal Character in \"Emma\" and \"Northanger Abbey\"",
                    "Title: The Theme of Appearance Versus Reality in \"Sense and Sensibility\" and \"Pride and Prejudice\"",
                    "Title: The Impact of Societal Expectations on the Choices and Actions of Characters in \"Emma\" and \"Mansfield Park\"",
                    "Title: The Representation of Social Mobility and Upward Mobility in \"Pride and Prejudice\" and \"Sense and Sensibility\"",
                    "Title: The Portrayal of Sibling Relationships in \"Mansfield Park\" and \"Persuasion\"",
                    "Title: The Role of Friendship in \"Emma\" and \"Northanger Abbey\"",
                    "Title: The Use of Humor and Wit in Austen's Novels.",
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                    "Title: Domesticity and Revolution: The Paradoxes of Jane Austen’s “Emma” in the Age of Revolution.",
                    "Title: The Satire of Morality and Manners in “Persuasion”: How Jane Austen's Last Novel Subverts the Popular Conventions of Her Time.",
                    "Title: The Transformation of the Heroine in Jane Austen's Novels: From Passive Observers to Active Participants.",
                    "Title: The Politics of Courtship: Jane Austen’s “Northanger Abbey” as a Critique of the Marriage Market.",
                    "Title: Love and Class Struggle in Jane Austen's “Sense and Sensibility.”",
                    "Title: Jane Austen and the Gothic: A Comparative Analysis of “Northanger Abbey” and “Mansfield Park.”",
                    "Title: Narrative Voice and Free Indirect Discourse in Jane Austen’s “Pride and Prejudice.”",
                    "Title: Female Authorship and the Novel in Jane Austen’s “Emma.”",
                    "Title: The Significance of Money and Property in Jane Austen’s Novels: A Study of “Pride and Prejudice” and “Sense and Sensibility.”",
                    "Title: The Role of Food and Eating in Jane Austen's Novels: A Study of \"Emma\" and \"Sense and Sensibility\"",
                    "Title: The Concept of Femininity in Jane Austen's \"Pride and Prejudice\": A Close Reading of Elizabeth Bennet's Character",
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                    "Title: Jane Austen's Representation of Female Friendship in \"Emma\" and \"Sense and Sensibility\"",
                    "Title: The Role of Education in Jane Austen's Novels: A Comparative Study of \"Pride and Prejudice\" and \"Emma\"",
                    "Title: The Concept of Courtship in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Emma\"",
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                    "Title: Jane Austen's Representation of Marriage as a Social Contract in \"Sense and Sensibility\"",
                    "Title: The Significance of the Governess Figure in Jane Austen's \"Mansfield Park\"",
                    "Title: Jane Austen's Critique of the Church and Religion in \"Mansfield Park\"",
                    "Title: The Role of Money and Inheritance in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Mansfield Park\"",
                    "Title: The Representation of Female Agency in Jane Austen's \"Northanger Abbey\"",
                    "Title: Jane Austen's Use of Irony and Humor in \"Persuasion\"",
                    "Title: The Importance of Self-Reflection in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Persuasion\"",
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                    "Title: The Representation of Justice in Shakespeare's Works: A Comparative Study of the Merchant of Venice and Measure for Measure.",
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                    "Title: The Metaphor of Blindness in Shakespeare's King Lear",
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                    "Title: The Power of Language and Rhetoric in Hamlet",
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                    "Title: The Search for Self-Knowledge and Self-Understanding in King Lear",
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                    "Title: Shakespeare's Use of Supernatural Elements: A Comparative Study of Macbeth and a Midsummer Night's Dream",
                    "Title: The Theme of Jealousy in Shakespeare's Plays: A Comparative Analysis of Othello and the Winter's Tale",
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                    "Title: The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest",
                    "Title: The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.",
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                "width": 1200,
                "xaxis": {
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          "metadata": {},
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      ],
      "source": [
        "new_fig = plot_corpus_embeds_with_plotly(\n",
        "    corpus_embeddings=tsne_coords,\n",
        "    corpus_labels=tsne_labels,\n",
        "    corpus_hover_texts=tsne_hover_texts,\n",
        "    layoot_dict=layoot_dict,\n",
        "    query_embeddings=[tsne_query_embeddings],\n",
        "    query_labels=['Query'],\n",
        "    query_hover_texts=['Query Patent'],\n",
        "    query_modes='markers',\n",
        "    query_marker_dict={\n",
        "        \"color\": \"black\",\n",
        "        \"size\": 24,\n",
        "        \"line\": {\n",
        "            \"color\": \"white\",\n",
        "            \"width\": 2,\n",
        "        },  \n",
        "        \"symbol\": \"diamond\",\n",
        "    },\n",
        "    show_plot=True,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {},
      "outputs": [],
      "source": [
        "edge_list = []\n",
        "edge_weight_dict = {} # for networkx (e.g., {0: {1: {\"weight\": 1}}}  # single edge (0,1))\n",
        "for index, row in df.iterrows():\n",
        "    # for each essay, add an edge from index to elements in the TopK-Semantic-Similarity-Indices column\n",
        "    for index2 in row['TopK-Semantic-Similarity-Indices'][:3]:\n",
        "        edge_list.append((index, index2))\n",
        "        # add the weight of the edge, which is stored in the TopK-Semantic-Similarity-Scores column \n",
        "        edge_weight_dict[index] = {index2: {\"weight\": row['TopK-Semantic-Similarity-Scores'][row['TopK-Semantic-Similarity-Indices'].index(index2)]}}"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/html": [
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              "  <thead>\n",
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              "      <th></th>\n",
              "      <th>Title</th>\n",
              "      <th>Text</th>\n",
              "      <th>Topic</th>\n",
              "      <th>Author</th>\n",
              "      <th>Length</th>\n",
              "      <th>TopK-LCSubseq-Indices</th>\n",
              "      <th>TopK-LCSubstr-Indices</th>\n",
              "      <th>TopK-LCSubseq-Scores</th>\n",
              "      <th>TopK-LCSubstr-Scores</th>\n",
              "      <th>TopK-Semantic-Similarity-Scores</th>\n",
              "      <th>TopK-Semantic-Similarity-Indices</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
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              "      <th>0</th>\n",
              "      <td>Social Class and Marriage in \"Pride and Prejud...</td>\n",
              "      <td>Title: Social Class and Marriage in \"Pride and...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>574</td>\n",
              "      <td>[391, 50, 305, 27, 42]</td>\n",
              "      <td>[52, 36, 19, 65, 27]</td>\n",
              "      <td>[0.223, 0.2265, 0.2352, 0.2352, 0.2387]</td>\n",
              "      <td>[0.0157, 0.0157, 0.0157, 0.0174, 0.0366]</td>\n",
              "      <td>[22.6066, 27.8086, 30.2542, 32.6548, 34.0562]</td>\n",
              "      <td>[50, 40, 75, 42, 16]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>The Role of Women in 18th Century England as D...</td>\n",
              "      <td>Title: The Role of Women in 18th Century Engla...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>520</td>\n",
              "      <td>[305, 93, 337, 42, 51]</td>\n",
              "      <td>[0, 42, 75, 51, 301]</td>\n",
              "      <td>[0.2231, 0.225, 0.2288, 0.2423, 0.2827]</td>\n",
              "      <td>[0.0154, 0.0173, 0.0192, 0.0269, 0.0269]</td>\n",
              "      <td>[13.2546, 34.5886, 35.948, 35.953, 38.5655]</td>\n",
              "      <td>[51, 301, 92, 88, 16]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>The Theme of Wealth and Its Impact on Relation...</td>\n",
              "      <td>Title: The Theme of Wealth and Its Impact on R...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>506</td>\n",
              "      <td>[213, 93, 25, 0, 22]</td>\n",
              "      <td>[272, 240, 38, 302, 52]</td>\n",
              "      <td>[0.2095, 0.2095, 0.2115, 0.2115, 0.2154]</td>\n",
              "      <td>[0.0138, 0.0138, 0.0158, 0.0217, 0.0217]</td>\n",
              "      <td>[24.3124, 38.068, 38.6159, 43.659, 47.6103]</td>\n",
              "      <td>[52, 79, 50, 95, 75]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>The Use of Satire in \"Northanger Abbey\"</td>\n",
              "      <td>Title: The Use of Satire in \"Northanger Abbey\"...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>607</td>\n",
              "      <td>[72, 337, 93, 22, 87]</td>\n",
              "      <td>[9, 200, 53, 303, 46]</td>\n",
              "      <td>[0.196, 0.1977, 0.1993, 0.2092, 0.2092]</td>\n",
              "      <td>[0.0115, 0.0115, 0.0115, 0.0115, 0.0115]</td>\n",
              "      <td>[27.5464, 30.9838, 33.8692, 44.0619, 44.1406]</td>\n",
              "      <td>[53, 76, 9, 96, 26]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>The Theme of Love and Self-Discovery in \"Persu...</td>\n",
              "      <td>Title: The Theme of Love and Self-Discovery in...</td>\n",
              "      <td>Jane Austen</td>\n",
              "      <td>ChatGPT (GPT-3.5 Turbo)</td>\n",
              "      <td>540</td>\n",
              "      <td>[12, 179, 33, 22, 25]</td>\n",
              "      <td>[287, 333, 304, 240, 54]</td>\n",
              "      <td>[0.2074, 0.2074, 0.213, 0.2278, 0.2389]</td>\n",
              "      <td>[0.0148, 0.0148, 0.0148, 0.0148, 0.0185]</td>\n",
              "      <td>[28.6085, 31.4169, 33.6889, 35.6571, 36.9277]</td>\n",
              "      <td>[54, 33, 304, 83, 98]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>395</th>\n",
              "      <td>The Representation of Friendship in Shakespear...</td>\n",
              "      <td>Title: The Representation of Friendship in Sha...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>90</td>\n",
              "      <td>[167, 117, 145, 185, 195]</td>\n",
              "      <td>[377, 385, 185, 195, 145]</td>\n",
              "      <td>[0.4778, 0.4778, 0.4889, 0.5, 0.6111]</td>\n",
              "      <td>[0.0778, 0.0778, 0.0778, 0.2111, 0.2111]</td>\n",
              "      <td>[67.8342, 78.4333, 79.201, 83.0268, 84.0943]</td>\n",
              "      <td>[372, 195, 364, 378, 145]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>396</th>\n",
              "      <td>The Use of Repetition in Shakespeare's Plays: ...</td>\n",
              "      <td>Title: The Use of Repetition in Shakespeare's ...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>335</td>\n",
              "      <td>[389, 213, 196, 391, 146]</td>\n",
              "      <td>[204, 124, 357, 196, 146]</td>\n",
              "      <td>[0.3075, 0.3194, 0.3224, 0.3313, 0.3313]</td>\n",
              "      <td>[0.0209, 0.0209, 0.0269, 0.0478, 0.0478]</td>\n",
              "      <td>[29.8214, 35.5274, 58.5119, 60.5157, 62.0831]</td>\n",
              "      <td>[196, 146, 171, 352, 152]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>397</th>\n",
              "      <td>The Significance of Names in Shakespeare's Wor...</td>\n",
              "      <td>Title: The Significance of Names in Shakespear...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>272</td>\n",
              "      <td>[370, 337, 213, 197, 391]</td>\n",
              "      <td>[179, 129, 351, 147, 197]</td>\n",
              "      <td>[0.2904, 0.2941, 0.2978, 0.3199, 0.3235]</td>\n",
              "      <td>[0.0257, 0.0257, 0.0294, 0.0551, 0.0588]</td>\n",
              "      <td>[46.3205, 59.3486, 72.2089, 75.2083, 79.369]</td>\n",
              "      <td>[147, 197, 390, 166, 116]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>398</th>\n",
              "      <td>The Representation of Masculinity in Shakespea...</td>\n",
              "      <td>Title: The Representation of Masculinity in Sh...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>338</td>\n",
              "      <td>[174, 305, 159, 187, 198]</td>\n",
              "      <td>[391, 141, 191, 148, 198]</td>\n",
              "      <td>[0.3018, 0.3047, 0.3077, 0.3166, 0.3195]</td>\n",
              "      <td>[0.0207, 0.0207, 0.0207, 0.0533, 0.0533]</td>\n",
              "      <td>[29.7092, 31.8584, 51.5532, 51.7136, 53.9744]</td>\n",
              "      <td>[198, 148, 166, 169, 258]</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>399</th>\n",
              "      <td>The Use of Mirrors and Reflections in Shakespe...</td>\n",
              "      <td>Title: The Use of Mirrors and Reflections in S...</td>\n",
              "      <td>William Shakespeare</td>\n",
              "      <td>Text Curie 001</td>\n",
              "      <td>409</td>\n",
              "      <td>[166, 391, 185, 149, 199]</td>\n",
              "      <td>[108, 142, 388, 149, 199]</td>\n",
              "      <td>[0.2347, 0.2347, 0.2445, 0.2616, 0.2787]</td>\n",
              "      <td>[0.0171, 0.0171, 0.0171, 0.0416, 0.0416]</td>\n",
              "      <td>[58.428, 73.7708, 75.4721, 77.0426, 77.6873]</td>\n",
              "      <td>[149, 376, 146, 199, 218]</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>400 rows × 11 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "                                                 Title  \\\n",
              "0    Social Class and Marriage in \"Pride and Prejud...   \n",
              "1    The Role of Women in 18th Century England as D...   \n",
              "2    The Theme of Wealth and Its Impact on Relation...   \n",
              "3              The Use of Satire in \"Northanger Abbey\"   \n",
              "4    The Theme of Love and Self-Discovery in \"Persu...   \n",
              "..                                                 ...   \n",
              "395  The Representation of Friendship in Shakespear...   \n",
              "396  The Use of Repetition in Shakespeare's Plays: ...   \n",
              "397  The Significance of Names in Shakespeare's Wor...   \n",
              "398  The Representation of Masculinity in Shakespea...   \n",
              "399  The Use of Mirrors and Reflections in Shakespe...   \n",
              "\n",
              "                                                  Text                Topic  \\\n",
              "0    Title: Social Class and Marriage in \"Pride and...          Jane Austen   \n",
              "1    Title: The Role of Women in 18th Century Engla...          Jane Austen   \n",
              "2    Title: The Theme of Wealth and Its Impact on R...          Jane Austen   \n",
              "3    Title: The Use of Satire in \"Northanger Abbey\"...          Jane Austen   \n",
              "4    Title: The Theme of Love and Self-Discovery in...          Jane Austen   \n",
              "..                                                 ...                  ...   \n",
              "395  Title: The Representation of Friendship in Sha...  William Shakespeare   \n",
              "396  Title: The Use of Repetition in Shakespeare's ...  William Shakespeare   \n",
              "397  Title: The Significance of Names in Shakespear...  William Shakespeare   \n",
              "398  Title: The Representation of Masculinity in Sh...  William Shakespeare   \n",
              "399  Title: The Use of Mirrors and Reflections in S...  William Shakespeare   \n",
              "\n",
              "                      Author  Length      TopK-LCSubseq-Indices  \\\n",
              "0    ChatGPT (GPT-3.5 Turbo)     574     [391, 50, 305, 27, 42]   \n",
              "1    ChatGPT (GPT-3.5 Turbo)     520     [305, 93, 337, 42, 51]   \n",
              "2    ChatGPT (GPT-3.5 Turbo)     506       [213, 93, 25, 0, 22]   \n",
              "3    ChatGPT (GPT-3.5 Turbo)     607      [72, 337, 93, 22, 87]   \n",
              "4    ChatGPT (GPT-3.5 Turbo)     540      [12, 179, 33, 22, 25]   \n",
              "..                       ...     ...                        ...   \n",
              "395           Text Curie 001      90  [167, 117, 145, 185, 195]   \n",
              "396           Text Curie 001     335  [389, 213, 196, 391, 146]   \n",
              "397           Text Curie 001     272  [370, 337, 213, 197, 391]   \n",
              "398           Text Curie 001     338  [174, 305, 159, 187, 198]   \n",
              "399           Text Curie 001     409  [166, 391, 185, 149, 199]   \n",
              "\n",
              "         TopK-LCSubstr-Indices                      TopK-LCSubseq-Scores  \\\n",
              "0         [52, 36, 19, 65, 27]   [0.223, 0.2265, 0.2352, 0.2352, 0.2387]   \n",
              "1         [0, 42, 75, 51, 301]   [0.2231, 0.225, 0.2288, 0.2423, 0.2827]   \n",
              "2      [272, 240, 38, 302, 52]  [0.2095, 0.2095, 0.2115, 0.2115, 0.2154]   \n",
              "3        [9, 200, 53, 303, 46]   [0.196, 0.1977, 0.1993, 0.2092, 0.2092]   \n",
              "4     [287, 333, 304, 240, 54]   [0.2074, 0.2074, 0.213, 0.2278, 0.2389]   \n",
              "..                         ...                                       ...   \n",
              "395  [377, 385, 185, 195, 145]     [0.4778, 0.4778, 0.4889, 0.5, 0.6111]   \n",
              "396  [204, 124, 357, 196, 146]  [0.3075, 0.3194, 0.3224, 0.3313, 0.3313]   \n",
              "397  [179, 129, 351, 147, 197]  [0.2904, 0.2941, 0.2978, 0.3199, 0.3235]   \n",
              "398  [391, 141, 191, 148, 198]  [0.3018, 0.3047, 0.3077, 0.3166, 0.3195]   \n",
              "399  [108, 142, 388, 149, 199]  [0.2347, 0.2347, 0.2445, 0.2616, 0.2787]   \n",
              "\n",
              "                         TopK-LCSubstr-Scores  \\\n",
              "0    [0.0157, 0.0157, 0.0157, 0.0174, 0.0366]   \n",
              "1    [0.0154, 0.0173, 0.0192, 0.0269, 0.0269]   \n",
              "2    [0.0138, 0.0138, 0.0158, 0.0217, 0.0217]   \n",
              "3    [0.0115, 0.0115, 0.0115, 0.0115, 0.0115]   \n",
              "4    [0.0148, 0.0148, 0.0148, 0.0148, 0.0185]   \n",
              "..                                        ...   \n",
              "395  [0.0778, 0.0778, 0.0778, 0.2111, 0.2111]   \n",
              "396  [0.0209, 0.0209, 0.0269, 0.0478, 0.0478]   \n",
              "397  [0.0257, 0.0257, 0.0294, 0.0551, 0.0588]   \n",
              "398  [0.0207, 0.0207, 0.0207, 0.0533, 0.0533]   \n",
              "399  [0.0171, 0.0171, 0.0171, 0.0416, 0.0416]   \n",
              "\n",
              "                   TopK-Semantic-Similarity-Scores  \\\n",
              "0    [22.6066, 27.8086, 30.2542, 32.6548, 34.0562]   \n",
              "1      [13.2546, 34.5886, 35.948, 35.953, 38.5655]   \n",
              "2      [24.3124, 38.068, 38.6159, 43.659, 47.6103]   \n",
              "3    [27.5464, 30.9838, 33.8692, 44.0619, 44.1406]   \n",
              "4    [28.6085, 31.4169, 33.6889, 35.6571, 36.9277]   \n",
              "..                                             ...   \n",
              "395   [67.8342, 78.4333, 79.201, 83.0268, 84.0943]   \n",
              "396  [29.8214, 35.5274, 58.5119, 60.5157, 62.0831]   \n",
              "397   [46.3205, 59.3486, 72.2089, 75.2083, 79.369]   \n",
              "398  [29.7092, 31.8584, 51.5532, 51.7136, 53.9744]   \n",
              "399   [58.428, 73.7708, 75.4721, 77.0426, 77.6873]   \n",
              "\n",
              "    TopK-Semantic-Similarity-Indices  \n",
              "0               [50, 40, 75, 42, 16]  \n",
              "1              [51, 301, 92, 88, 16]  \n",
              "2               [52, 79, 50, 95, 75]  \n",
              "3                [53, 76, 9, 96, 26]  \n",
              "4              [54, 33, 304, 83, 98]  \n",
              "..                               ...  \n",
              "395        [372, 195, 364, 378, 145]  \n",
              "396        [196, 146, 171, 352, 152]  \n",
              "397        [147, 197, 390, 166, 116]  \n",
              "398        [198, 148, 166, 169, 258]  \n",
              "399        [149, 376, 146, 199, 218]  \n",
              "\n",
              "[400 rows x 11 columns]"
            ]
          },
          "execution_count": 38,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "df"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Visualization of the Semantically Similar Essays in the Corpus as a Network Graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Let's important specific modules that we will use for plotting a network graph with plotly\n",
        "import plotly.graph_objects as go \n",
        "import networkx as nx"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Let's create a graph from the edge list that we created earlier\n",
        "G = nx.from_dict_of_dicts(edge_weight_dict)\n",
        "pos = nx.spring_layout(G, weight='weight', k=0.5, iterations=50, scale=1, center=None, dim=2, seed=42)\n",
        "nx.set_node_attributes(G, pos, 'pos')\n"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let's get all the specific information that we need to plot the graph.\n",
        "* **N.B.** Please feel free to skip the following part."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Edge positions\n",
        "edge_x = []\n",
        "edge_y = []\n",
        "for edge in G.edges():\n",
        "    x0, y0 = G.nodes[edge[0]]['pos']\n",
        "    x1, y1 = G.nodes[edge[1]]['pos']\n",
        "    edge_x.append(x0)\n",
        "    edge_x.append(x1)\n",
        "    edge_x.append(None)\n",
        "    edge_y.append(y0)\n",
        "    edge_y.append(y1)\n",
        "    edge_y.append(None)\n",
        "\n",
        "# Edge trace\n",
        "edge_trace = go.Scatter(\n",
        "    x=edge_x, y=edge_y,\n",
        "    # Alas, the following doesn't work: line=dict(width=[G[u][v]['weight'] for u,v in G.edges()], color='#888'),\n",
        "    # So we have to use the following standard line marker instead:\n",
        "    line=dict(width=0.5, color='#D3D3D3'), \n",
        "    hoverinfo='none',\n",
        "    mode='lines',\n",
        "    )\n",
        "\n",
        "# Node positions\n",
        "node_x = []\n",
        "node_y = []\n",
        "for node in G.nodes():\n",
        "    x, y = G.nodes[node]['pos']\n",
        "    node_x.append(x)\n",
        "    node_y.append(y)\n",
        "\n",
        "# Node trace\n",
        "node_trace = go.Scatter(\n",
        "    x=node_x, y=node_y,\n",
        "    mode='markers',\n",
        "    hoverinfo='text',\n",
        "    marker=dict(\n",
        "        showscale=True,\n",
        "        colorscale='Portland',\n",
        "        reversescale=True,\n",
        "        color=[],\n",
        "        size=[G.degree(node) * 5 for node in G.nodes()],\n",
        "        colorbar=dict(\n",
        "            thickness=15,\n",
        "            title='Node Connections',\n",
        "            xanchor='left',\n",
        "            titleside='right'\n",
        "        ),\n",
        "        line_width=2,\n",
        "        )\n",
        "    )\n",
        "\n",
        "# Node adjacencies and text\n",
        "node_adjacencies = []\n",
        "node_text = []\n",
        "for node, adjacencies in enumerate(G.adjacency()):\n",
        "    node_adjacencies.append(len(adjacencies[1]))\n",
        "    # Essay / Title / Word Count\n",
        "    node_text.append(f'Essay #{adjacencies[0]}: <br>{df.loc[adjacencies[0], \"Title\"]}<br> Word Count: {df.loc[adjacencies[0], \"Length\"]}')\n",
        "\n",
        "# Node trace color and text\n",
        "node_trace.marker.color = node_adjacencies\n",
        "node_trace.text = node_text"
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let us plot the semantic similarity graph with **plotly**!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 42,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "application/vnd.plotly.v1+json": {
              "config": {
                "plotlyServerURL": "https://plot.ly"
              },
              "data": [
                {
                  "hoverinfo": "none",
                  "line": {
                    "color": "#D3D3D3",
                    "width": 0.5
                  },
                  "mode": "lines",
                  "type": "scatter",
                  "x": [
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                  "text": [
                    "Essay #0: <br>Social Class and Marriage in \"Pride and Prejudice\"<br> Word Count: 574",
                    "Essay #1: <br>The Role of Women in 18th Century England as Depicted in \"Sense and Sensibility\"<br> Word Count: 520",
                    "Essay #2: <br>The Theme of Wealth and Its Impact on Relationships in \"Emma\"<br> Word Count: 506",
                    "Essay #3: <br>The Use of Satire in \"Northanger Abbey\"<br> Word Count: 607",
                    "Essay #4: <br>The Theme of Love and Self-Discovery in \"Persuasion\"<br> Word Count: 540",
                    "Essay #5: <br>The Portrayal of Masculinity in \"Mansfield Park\"<br> Word Count: 628",
                    "Essay #6: <br>The Role of Education in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 529",
                    "Essay #7: <br>The Concept of Duty and Obligation in \"Sense and Sensibility\"<br> Word Count: 469",
                    "Essay #8: <br>The Use of Irony in \"Pride and Prejudice\"<br> Word Count: 667",
                    "Essay #9: <br>The Influence of Gothic Literature on \"Northanger Abbey\"<br> Word Count: 501",
                    "Essay #10: <br>The Representation of Femininity and Masculinity in \"Sense and Sensibility\" and \"Mansfield Park\"<br> Word Count: 515",
                    "Essay #11: <br>The Role of Parents and Guardians in Shaping the Lives of Young Women in \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 564",
                    "Essay #12: <br>The Portrayal of Marriage and Family Life in \"Mansfield Park\" and \"Persuasion\"<br> Word Count: 600",
                    "Essay #13: <br>The Use of Language and Dialogue to Reveal Character in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 526",
                    "Essay #14: <br>The Theme of Appearance Versus Reality in \"Sense and Sensibility\" and \"Pride and Prejudice\"<br> Word Count: 523",
                    "Essay #15: <br>The Impact of Societal Expectations on the Choices and Actions of Characters in \"Emma\" and \"Mansfield Park\"<br> Word Count: 531",
                    "Essay #16: <br>The Representation of Social Mobility and Upward Mobility in \"Pride and Prejudice\" and \"Sense and Sensibility\"<br> Word Count: 474",
                    "Essay #17: <br>The Portrayal of Sibling Relationships in \"Mansfield Park\" and \"Persuasion\"<br> Word Count: 507",
                    "Essay #18: <br>The Role of Friendship in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 373",
                    "Essay #19: <br>The Use of Humor and Wit in Austen's Novels.<br> Word Count: 533",
                    "Essay #20: <br>Gender and Power in Jane Austen’s Novels: A Comparative Study of “Sense and Sensibility,” “Pride and Prejudice,” and “Mansfield Park.”<br> Word Count: 569",
                    "Essay #21: <br>Domesticity and Revolution: The Paradoxes of Jane Austen’s “Emma” in the Age of Revolution.<br> Word Count: 509",
                    "Essay #22: <br>The Satire of Morality and Manners in “Persuasion”: How Jane Austen's Last Novel Subverts the Popular Conventions of Her Time.<br> Word Count: 614",
                    "Essay #23: <br>The Transformation of the Heroine in Jane Austen's Novels: From Passive Observers to Active Participants.<br> Word Count: 529",
                    "Essay #24: <br>The Politics of Courtship: Jane Austen’s “Northanger Abbey” as a Critique of the Marriage Market.<br> Word Count: 494",
                    "Essay #25: <br>Love and Class Struggle in Jane Austen's “Sense and Sensibility.”<br> Word Count: 569",
                    "Essay #26: <br>Jane Austen and the Gothic: A Comparative Analysis of “Northanger Abbey” and “Mansfield Park.”<br> Word Count: 563",
                    "Essay #27: <br>Narrative Voice and Free Indirect Discourse in Jane Austen’s “Pride and Prejudice.”<br> Word Count: 636",
                    "Essay #28: <br>Female Authorship and the Novel in Jane Austen’s “Emma.”<br> Word Count: 548",
                    "Essay #29: <br>The Significance of Money and Property in Jane Austen’s Novels: A Study of “Pride and Prejudice” and “Sense and Sensibility.”<br> Word Count: 445",
                    "Essay #30: <br>The Role of Food and Eating in Jane Austen's Novels: A Study of \"Emma\" and \"Sense and Sensibility\"<br> Word Count: 423",
                    "Essay #31: <br>The Concept of Femininity in Jane Austen's \"Pride and Prejudice\": A Close Reading of Elizabeth Bennet's Character<br> Word Count: 558",
                    "Essay #32: <br>The Importance of Social Etiquette in \"Mansfield Park\" and \"Northanger Abbey\"<br> Word Count: 584",
                    "Essay #33: <br>The Representation of Love and Marriage in Jane Austen's \"Persuasion\"<br> Word Count: 396",
                    "Essay #34: <br>The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"<br> Word Count: 535",
                    "Essay #35: <br>The Use of Letter Writing in Jane Austen's Novels: A Comparative Analysis of \"Sense and Sensibility\" and \"Pride and Prejudice\"<br> Word Count: 474",
                    "Essay #36: <br>The Character of Mr. Darcy in \"Pride and Prejudice\": A Study of Austen's Representation of Masculinity<br> Word Count: 529",
                    "Essay #37: <br>The Satirical Critique of the Upper Class in \"Northanger Abbey\"<br> Word Count: 376",
                    "Essay #38: <br>Jane Austen's Representation of Female Friendship in \"Emma\" and \"Sense and Sensibility\"<br> Word Count: 505",
                    "Essay #39: <br>The Role of Education in Jane Austen's Novels: A Comparative Study of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 558",
                    "Essay #40: <br>The Concept of Courtship in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 554",
                    "Essay #41: <br>The Importance of Dance in Jane Austen's Novels: A Comparative Analysis of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 549",
                    "Essay #42: <br>Jane Austen's Representation of Marriage as a Social Contract in \"Sense and Sensibility\"<br> Word Count: 649",
                    "Essay #43: <br>The Significance of the Governess Figure in Jane Austen's \"Mansfield Park\"<br> Word Count: 508",
                    "Essay #44: <br>Jane Austen's Critique of the Church and Religion in \"Mansfield Park\"<br> Word Count: 357",
                    "Essay #45: <br>The Role of Money and Inheritance in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Mansfield Park\"<br> Word Count: 488",
                    "Essay #46: <br>The Representation of Female Agency in Jane Austen's \"Northanger Abbey\"<br> Word Count: 473",
                    "Essay #47: <br>Jane Austen's Use of Irony and Humor in \"Persuasion\"<br> Word Count: 539",
                    "Essay #48: <br>The Importance of Self-Reflection in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Persuasion\"<br> Word Count: 498",
                    "Essay #49: <br>The Representation of Female Beauty and Aging in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Sense and Sensibility\"<br> Word Count: 458",
                    "Essay #50: <br>Social Class and Marriage in \"Pride and Prejudice\"<br> Word Count: 559",
                    "Essay #51: <br>The Role of Women in 18th Century England as Depicted in \"Sense and Sensibility\"<br> Word Count: 587",
                    "Essay #52: <br>The Theme of Wealth and Its Impact on Relationships in \"Emma\"<br> Word Count: 481",
                    "Essay #53: <br>The Use of Satire in \"Northanger Abbey\"<br> Word Count: 468",
                    "Essay #54: <br>The Theme of Love and Self-Discovery in \"Persuasion\"<br> Word Count: 481",
                    "Essay #55: <br>The Portrayal of Masculinity in \"Mansfield Park\"<br> Word Count: 524",
                    "Essay #56: <br>The Role of Education in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 474",
                    "Essay #57: <br>The Concept of Duty and Obligation in \"Sense and Sensibility\"<br> Word Count: 401",
                    "Essay #58: <br>The Use of Irony in \"Pride and Prejudice\"<br> Word Count: 644",
                    "Essay #59: <br>The Influence of Gothic Literature on \"Northanger Abbey\"<br> Word Count: 356",
                    "Essay #60: <br>The Representation of Femininity and Masculinity in \"Sense and Sensibility\" and \"Mansfield Park\"<br> Word Count: 456",
                    "Essay #61: <br>The Role of Parents and Guardians in Shaping the Lives of Young Women in \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 598",
                    "Essay #62: <br>The Portrayal of Marriage and Family Life in \"Mansfield Park\" and \"Persuasion\"<br> Word Count: 395",
                    "Essay #63: <br>The Use of Language and Dialogue to Reveal Character in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 390",
                    "Essay #64: <br>The Theme of Appearance Versus Reality in \"Sense and Sensibility\" and \"Pride and Prejudice\"<br> Word Count: 519",
                    "Essay #65: <br>The Impact of Societal Expectations on the Choices and Actions of Characters in \"Emma\" and \"Mansfield Park\"<br> Word Count: 552",
                    "Essay #66: <br>The Representation of Social Mobility and Upward Mobility in \"Pride and Prejudice\" and \"Sense and Sensibility\"<br> Word Count: 584",
                    "Essay #67: <br>The Portrayal of Sibling Relationships in \"Mansfield Park\" and \"Persuasion\"<br> Word Count: 457",
                    "Essay #68: <br>The Role of Friendship in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 608",
                    "Essay #69: <br>The Use of Humor and Wit in Austen's Novels.<br> Word Count: 499",
                    "Essay #70: <br>Gender and Power in Jane Austen’s Novels: A Comparative Study of “Sense and Sensibility,” “Pride and Prejudice,” and “Mansfield Park.”<br> Word Count: 591",
                    "Essay #71: <br>Domesticity and Revolution: The Paradoxes of Jane Austen’s “Emma” in the Age of Revolution.<br> Word Count: 591",
                    "Essay #72: <br>The Satire of Morality and Manners in “Persuasion”: How Jane Austen's Last Novel Subverts the Popular Conventions of Her Time.<br> Word Count: 685",
                    "Essay #73: <br>The Transformation of the Heroine in Jane Austen's Novels: From Passive Observers to Active Participants.<br> Word Count: 433",
                    "Essay #74: <br>The Politics of Courtship: Jane Austen’s “Northanger Abbey” as a Critique of the Marriage Market.<br> Word Count: 637",
                    "Essay #75: <br>Love and Class Struggle in Jane Austen's “Sense and Sensibility.”<br> Word Count: 533",
                    "Essay #76: <br>Jane Austen and the Gothic: A Comparative Analysis of “Northanger Abbey” and “Mansfield Park.”<br> Word Count: 574",
                    "Essay #77: <br>Narrative Voice and Free Indirect Discourse in Jane Austen’s “Pride and Prejudice.”<br> Word Count: 608",
                    "Essay #78: <br>Female Authorship and the Novel in Jane Austen’s “Emma.”<br> Word Count: 472",
                    "Essay #79: <br>The Significance of Money and Property in Jane Austen’s Novels: A Study of “Pride and Prejudice” and “Sense and Sensibility.”<br> Word Count: 455",
                    "Essay #80: <br>The Role of Food and Eating in Jane Austen's Novels: A Study of \"Emma\" and \"Sense and Sensibility\"<br> Word Count: 490",
                    "Essay #81: <br>The Concept of Femininity in Jane Austen's \"Pride and Prejudice\": A Close Reading of Elizabeth Bennet's Character<br> Word Count: 583",
                    "Essay #82: <br>The Importance of Social Etiquette in \"Mansfield Park\" and \"Northanger Abbey\"<br> Word Count: 556",
                    "Essay #83: <br>The Representation of Love and Marriage in Jane Austen's \"Persuasion\"<br> Word Count: 501",
                    "Essay #84: <br>The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"<br> Word Count: 552",
                    "Essay #85: <br>The Use of Letter Writing in Jane Austen's Novels: A Comparative Analysis of \"Sense and Sensibility\" and \"Pride and Prejudice\"<br> Word Count: 578",
                    "Essay #86: <br>The Character of Mr. Darcy in \"Pride and Prejudice\": A Study of Austen's Representation of Masculinity<br> Word Count: 539",
                    "Essay #87: <br>The Satirical Critique of the Upper Class in \"Northanger Abbey\"<br> Word Count: 587",
                    "Essay #88: <br>Jane Austen's Representation of Female Friendship in \"Emma\" and \"Sense and Sensibility\"<br> Word Count: 526",
                    "Essay #89: <br>The Role of Education in Jane Austen's Novels: A Comparative Study of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 458",
                    "Essay #90: <br>The Concept of Courtship in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 531",
                    "Essay #91: <br>The Importance of Dance in Jane Austen's Novels: A Comparative Analysis of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 509",
                    "Essay #92: <br>Jane Austen's Representation of Marriage as a Social Contract in \"Sense and Sensibility\"<br> Word Count: 575",
                    "Essay #93: <br>The Significance of the Governess Figure in Jane Austen's \"Mansfield Park\"<br> Word Count: 574",
                    "Essay #94: <br>Jane Austen's Critique of the Church and Religion in \"Mansfield Park\"<br> Word Count: 524",
                    "Essay #95: <br>The Role of Money and Inheritance in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Mansfield Park\"<br> Word Count: 539",
                    "Essay #96: <br>The Representation of Female Agency in Jane Austen's \"Northanger Abbey\"<br> Word Count: 492",
                    "Essay #97: <br>Jane Austen's Use of Irony and Humor in \"Persuasion\"<br> Word Count: 642",
                    "Essay #98: <br>The Importance of Self-Reflection in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Persuasion\"<br> Word Count: 435",
                    "Essay #99: <br>The Representation of Female Beauty and Aging in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Sense and Sensibility\"<br> Word Count: 495",
                    "Essay #100: <br>The Role of Women in Shakespeare's Plays: A Comparative Study of Portia, Viola, and Lady Macbeth<br> Word Count: 469",
                    "Essay #101: <br>The Tragic Hero in Shakespeare's Works: Examining the Characterization of Hamlet, Macbeth, and Othello<br> Word Count: 454",
                    "Essay #102: <br>The Concept of Power in Shakespeare's Plays: An Analysis of Richard III, King Lear, and Julius Caesar<br> Word Count: 363",
                    "Essay #103: <br>The Use of Imagery in Shakespeare's Sonnets: An Exploration of the Poet's Language and Symbolism<br> Word Count: 486",
                    "Essay #104: <br>Shakespeare's Use of Supernatural Elements: A Comparative Study of Macbeth and a Midsummer Night's Dream<br> Word Count: 370",
                    "Essay #105: <br>The Theme of Jealousy in Shakespeare's Plays: A Comparative Analysis of Othello and the Winter's Tale<br> Word Count: 428",
                    "Essay #106: <br>The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra<br> Word Count: 488",
                    "Essay #107: <br>The Significance of Madness in Shakespeare's Plays: An Analysis of Hamlet and King Lear<br> Word Count: 456",
                    "Essay #108: <br>The Role of Fate and Free Will in Shakespeare's Tragedies: A Comparative Study of Romeo and Juliet, Julius Caesar, and Macbeth<br> Word Count: 590",
                    "Essay #109: <br>The Portrayal of Kingship in Shakespeare's Histories: An Examination of Henry IV, Part 1 and Richard II<br> Word Count: 457",
                    "Essay #110: <br>The Theme of Revenge in Shakespeare's Plays: An Analysis of Titus Andronicus, Hamlet, and the Tempest<br> Word Count: 440",
                    "Essay #111: <br>The Representation of Love in Shakespeare's Sonnets: An Exploration of the Poet's Views on Romantic and Platonic Love<br> Word Count: 370",
                    "Essay #112: <br>The Use of Deception in Shakespeare's Comedies: An Analysis of Twelfth Night and Much Ado About Nothing<br> Word Count: 435",
                    "Essay #113: <br>The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest<br> Word Count: 406",
                    "Essay #114: <br>The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.<br> Word Count: 465",
                    "Essay #115: <br>The Representation of Gender Roles in Shakespeare's Plays: An Analysis of as You Like It and the Taming of the Shrew<br> Word Count: 420",
                    "Essay #116: <br>The Significance of Setting in Shakespeare's Plays: An Examination of Romeo and Juliet and the Merchant of Venice<br> Word Count: 439",
                    "Essay #117: <br>The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra<br> Word Count: 422",
                    "Essay #118: <br>The Use of Language in Shakespeare's Plays: An Exploration of the Poet's Linguistic Creativity<br> Word Count: 525",
                    "Essay #119: <br>The Representation of Ethnicity in Shakespeare's Plays: An Analysis of Othello and the Merchant of Venice<br> Word Count: 444",
                    "Essay #120: <br>The Role of Religion in Shakespeare's Works: An Examination of Measure for Measure and the Tempest<br> Word Count: 491",
                    "Essay #121: <br>The Representation of Power and Politics in Shakespeare's Histories: An Analysis of Henry v and Richard III<br> Word Count: 420",
                    "Essay #122: <br>The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream<br> Word Count: 517",
                    "Essay #123: <br>The Significance of Family Relationships in Shakespeare's Plays: An Examination of King Lear and the Tempest<br> Word Count: 410",
                    "Essay #124: <br>The Representation of Justice in Shakespeare's Works: A Comparative Study of the Merchant of Venice and Measure for Measure.<br> Word Count: 503",
                    "Essay #125: <br>The Role of Nature in Shakespeare's Plays: An Analysis of King Lear and the Tempest<br> Word Count: 506",
                    "Essay #126: <br>The Significance of Imagery in Shakespeare's Plays: An Examination of Macbeth and Romeo and Juliet<br> Word Count: 490",
                    "Essay #127: <br>The Representation of Madness in Shakespeare's Plays: A Comparative Study of Hamlet and King Lear<br> Word Count: 502",
                    "Essay #128: <br>The Use of Irony in Shakespeare's Works: An Analysis of Twelfth Night and Much Ado About Nothing<br> Word Count: 414",
                    "Essay #129: <br>The Theme of Love in Shakespeare's Tragedies: An Exploration of Romeo and Juliet and Antony and Cleopatra<br> Word Count: 427",
                    "Essay #130: <br>The Significance of Masks and Disguises in Shakespeare's Comedies: An Examination of as You Like It and the Merchant of Venice<br> Word Count: 467",
                    "Essay #131: <br>The Representation of Women's Roles in Shakespeare's Histories: A Comparative Study of Henry v and Richard III<br> Word Count: 461",
                    "Essay #132: <br>The Use of Foreshadowing in Shakespeare's Plays: An Analysis of Julius Caesar and Macbeth<br> Word Count: 331",
                    "Essay #133: <br>The Significance of Dreams and Visions in Shakespeare's Works: An Exploration of a Midsummer Night's Dream and Julius Caesar<br> Word Count: 356",
                    "Essay #134: <br>The Representation of War in Shakespeare's Plays: An Examination of Henry v and Macbeth<br> Word Count: 374",
                    "Essay #135: <br>The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors<br> Word Count: 579",
                    "Essay #136: <br>The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth<br> Word Count: 421",
                    "Essay #137: <br>The Role of Honor in Shakespeare's Works: An Examination of Othello and Coriolanus<br> Word Count: 345",
                    "Essay #138: <br>The Representation of Kingship in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth<br> Word Count: 533",
                    "Essay #139: <br>The Use of Metaphors in Shakespeare's Plays: An Analysis of the Tempest and the Winter's Tale<br> Word Count: 391",
                    "Essay #140: <br>The Significance of Race in Shakespeare's Works: An Exploration of Othello and Titus Andronicus<br> Word Count: 332",
                    "Essay #141: <br>The Representation of Women's Bodies in Shakespeare's Plays: An Examination of the Rape of Lucrece and Titus Andronicus<br> Word Count: 495",
                    "Essay #142: <br>The Use of Soliloquies in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth<br> Word Count: 470",
                    "Essay #143: <br>The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream<br> Word Count: 423",
                    "Essay #144: <br>The Role of Religion in Shakespeare's Tragedies: An Examination of Hamlet and Macbeth<br> Word Count: 444",
                    "Essay #145: <br>The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona<br> Word Count: 436",
                    "Essay #146: <br>The Use of Repetition in Shakespeare's Plays: An Analysis of Richard III and the Winter's Tale<br> Word Count: 511",
                    "Essay #147: <br>The Significance of Names in Shakespeare's Works: An Exploration of Romeo and Juliet and Othello<br> Word Count: 421",
                    "Essay #148: <br>The Representation of Masculinity in Shakespeare's Plays: An Examination of the Merchant of Venice and Antony and Cleopatra<br> Word Count: 367",
                    "Essay #149: <br>The Use of Mirrors and Reflections in Shakespeare's Tragedies: A Comparative Study of Macbeth and King Lear.<br> Word Count: 527",
                    "Essay #150: <br>The Role of Women in Shakespeare's Plays: A Comparative Study of Portia, Viola, and Lady Macbeth<br> Word Count: 639",
                    "Essay #151: <br>The Tragic Hero in Shakespeare's Works: Examining the Characterization of Hamlet, Macbeth, and Othello<br> Word Count: 493",
                    "Essay #152: <br>The Concept of Power in Shakespeare's Plays: An Analysis of Richard III, King Lear, and Julius Caesar<br> Word Count: 480",
                    "Essay #153: <br>The Use of Imagery in Shakespeare's Sonnets: An Exploration of the Poet's Language and Symbolism<br> Word Count: 606",
                    "Essay #154: <br>Shakespeare's Use of Supernatural Elements: A Comparative Study of Macbeth and a Midsummer Night's Dream<br> Word Count: 578",
                    "Essay #155: <br>The Theme of Jealousy in Shakespeare's Plays: A Comparative Analysis of Othello and the Winter's Tale<br> Word Count: 493",
                    "Essay #156: <br>The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra<br> Word Count: 575",
                    "Essay #157: <br>The Significance of Madness in Shakespeare's Plays: An Analysis of Hamlet and King Lear<br> Word Count: 482",
                    "Essay #158: <br>The Role of Fate and Free Will in Shakespeare's Tragedies: A Comparative Study of Romeo and Juliet, Julius Caesar, and Macbeth<br> Word Count: 585",
                    "Essay #159: <br>The Portrayal of Kingship in Shakespeare's Histories: An Examination of Henry IV, Part 1 and Richard II<br> Word Count: 731",
                    "Essay #160: <br>The Theme of Revenge in Shakespeare's Plays: An Analysis of Titus Andronicus, Hamlet, and the Tempest<br> Word Count: 591",
                    "Essay #161: <br>The Representation of Love in Shakespeare's Sonnets: An Exploration of the Poet's Views on Romantic and Platonic Love<br> Word Count: 539",
                    "Essay #162: <br>The Use of Deception in Shakespeare's Comedies: An Analysis of Twelfth Night and Much Ado About Nothing<br> Word Count: 729",
                    "Essay #163: <br>The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest<br> Word Count: 562",
                    "Essay #164: <br>The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.<br> Word Count: 428",
                    "Essay #165: <br>The Representation of Gender Roles in Shakespeare's Plays: An Analysis of as You Like It and the Taming of the Shrew<br> Word Count: 530",
                    "Essay #166: <br>The Significance of Setting in Shakespeare's Plays: An Examination of Romeo and Juliet and the Merchant of Venice<br> Word Count: 594",
                    "Essay #167: <br>The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra<br> Word Count: 390",
                    "Essay #168: <br>The Use of Language in Shakespeare's Plays: An Exploration of the Poet's Linguistic Creativity<br> Word Count: 456",
                    "Essay #169: <br>The Representation of Ethnicity in Shakespeare's Plays: An Analysis of Othello and the Merchant of Venice<br> Word Count: 497",
                    "Essay #170: <br>The Role of Religion in Shakespeare's Works: An Examination of Measure for Measure and the Tempest<br> Word Count: 504",
                    "Essay #171: <br>The Representation of Power and Politics in Shakespeare's Histories: An Analysis of Henry v and Richard III<br> Word Count: 566",
                    "Essay #172: <br>The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream<br> Word Count: 598",
                    "Essay #173: <br>The Significance of Family Relationships in Shakespeare's Plays: An Examination of King Lear and the Tempest<br> Word Count: 476",
                    "Essay #174: <br>The Representation of Justice in Shakespeare's Works: A Comparative Study of the Merchant of Venice and Measure for Measure.<br> Word Count: 621",
                    "Essay #175: <br>The Role of Nature in Shakespeare's Plays: An Analysis of King Lear and the Tempest<br> Word Count: 473",
                    "Essay #176: <br>The Significance of Imagery in Shakespeare's Plays: An Examination of Macbeth and Romeo and Juliet<br> Word Count: 687",
                    "Essay #177: <br>The Representation of Madness in Shakespeare's Plays: A Comparative Study of Hamlet and King Lear<br> Word Count: 543",
                    "Essay #178: <br>The Use of Irony in Shakespeare's Works: An Analysis of Twelfth Night and Much Ado About Nothing<br> Word Count: 682",
                    "Essay #179: <br>The Theme of Love in Shakespeare's Tragedies: An Exploration of Romeo and Juliet and Antony and Cleopatra<br> Word Count: 724",
                    "Essay #180: <br>The Significance of Masks and Disguises in Shakespeare's Comedies: An Examination of as You Like It and the Merchant of Venice<br> Word Count: 457",
                    "Essay #181: <br>The Representation of Women's Roles in Shakespeare's Histories: A Comparative Study of Henry v and Richard III<br> Word Count: 652",
                    "Essay #182: <br>The Use of Foreshadowing in Shakespeare's Plays: An Analysis of Julius Caesar and Macbeth<br> Word Count: 501",
                    "Essay #183: <br>The Significance of Dreams and Visions in Shakespeare's Works: An Exploration of a Midsummer Night's Dream and Julius Caesar<br> Word Count: 597",
                    "Essay #184: <br>The Representation of War in Shakespeare's Plays: An Examination of Henry v and Macbeth<br> Word Count: 447",
                    "Essay #185: <br>The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors<br> Word Count: 722",
                    "Essay #186: <br>The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth<br> Word Count: 560",
                    "Essay #187: <br>The Role of Honor in Shakespeare's Works: An Examination of Othello and Coriolanus<br> Word Count: 578",
                    "Essay #188: <br>The Representation of Kingship in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth<br> Word Count: 658",
                    "Essay #189: <br>The Use of Metaphors in Shakespeare's Plays: An Analysis of the Tempest and the Winter's Tale<br> Word Count: 422",
                    "Essay #190: <br>The Significance of Race in Shakespeare's Works: An Exploration of Othello and Titus Andronicus<br> Word Count: 616",
                    "Essay #191: <br>The Representation of Women's Bodies in Shakespeare's Plays: An Examination of the Rape of Lucrece and Titus Andronicus<br> Word Count: 551",
                    "Essay #192: <br>The Use of Soliloquies in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth<br> Word Count: 577",
                    "Essay #193: <br>The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream<br> Word Count: 544",
                    "Essay #194: <br>The Role of Religion in Shakespeare's Tragedies: An Examination of Hamlet and Macbeth<br> Word Count: 662",
                    "Essay #195: <br>The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona<br> Word Count: 449",
                    "Essay #196: <br>The Use of Repetition in Shakespeare's Plays: An Analysis of Richard III and the Winter's Tale<br> Word Count: 558",
                    "Essay #197: <br>The Significance of Names in Shakespeare's Works: An Exploration of Romeo and Juliet and Othello<br> Word Count: 573",
                    "Essay #198: <br>The Representation of Masculinity in Shakespeare's Plays: An Examination of the Merchant of Venice and Antony and Cleopatra<br> Word Count: 543",
                    "Essay #199: <br>The Use of Mirrors and Reflections in Shakespeare's Tragedies: A Comparative Study of Macbeth and King Lear.<br> Word Count: 680",
                    "Essay #200: <br>The Complex Portrayal of Women in Shakespeare's Plays<br> Word Count: 476",
                    "Essay #201: <br>Shakespeare's Language: The Art of Conveying Meaning and Creating Memorable Characters<br> Word Count: 616",
                    "Essay #202: <br>The Many Faces of Love in Shakespeare's Plays<br> Word Count: 538",
                    "Essay #203: <br>Shakespeare's Enduring Legacy: How His Works Continue to Shape Modern Culture<br> Word Count: 581",
                    "Essay #204: <br>The Supernatural in Shakespeare's Plays: Creating Suspense and Conveying Deeper Meanings<br> Word Count: 524",
                    "Essay #205: <br>Shakespeare's Portrayal of Race: Challenging Stereotypes Through Characterization<br> Word Count: 519",
                    "Essay #206: <br>Shakespeare's Historical Plays: A Commentary on Contemporary Politics<br> Word Count: 611",
                    "Essay #207: <br>The Fool's Role in Shakespeare's Plays: Providing Comic Relief, Commentary, and Contrast<br> Word Count: 572",
                    "Essay #208: <br>The Complexities of Masculinity in Shakespeare's Plays<br> Word Count: 515",
                    "Essay #209: <br>Shakespeare's Use of Comedy: A Reflection of Society<br> Word Count: 642",
                    "Essay #210: <br>The Melodic Magic of Shakespeare: The Role of Music in His Plays<br> Word Count: 409",
                    "Essay #211: <br>The Complexities of Power in Shakespeare's Plays<br> Word Count: 623",
                    "Essay #212: <br>The Madness in Shakespeare's Plays: A Study of Mental Illness and its Effects on Characters and Relationships<br> Word Count: 576",
                    "Essay #213: <br>The Significance of Setting in Shakespeare's Plays<br> Word Count: 725",
                    "Essay #214: <br>The Dichotomy of Fate and Free Will in Shakespeare's Plays<br> Word Count: 458",
                    "Essay #215: <br>The Inevitability of Death: Shakespeare's Portrayal of Mortality, Grief, and the Afterlife<br> Word Count: 504",
                    "Essay #216: <br>Shakespeare's Masterful Use of Irony in His Plays<br> Word Count: 578",
                    "Essay #217: <br>The Political World of Shakespeare's Plays<br> Word Count: 448",
                    "Essay #218: <br>Shakespeare's Symbolism: Adding Depth to Characters and Themes<br> Word Count: 687",
                    "Essay #219: <br>Religion in Shakespeare's Plays: A Complex and Nuanced Portrayal<br> Word Count: 586",
                    "Essay #220: <br>The Natural World in Shakespeare's Plays: A Reflection of Human Emotions and Actions<br> Word Count: 646",
                    "Essay #221: <br>The Representation of Social Class in Shakespeare's Plays<br> Word Count: 560",
                    "Essay #222: <br>The Complexities of Family Relationships in Shakespeare's Plays<br> Word Count: 535",
                    "Essay #223: <br>Shakespeare's Gender Identity: Challenging Traditional Roles<br> Word Count: 445",
                    "Essay #224: <br>Shakespeare's Tragic Vision: A Study of Tragedy in his Plays<br> Word Count: 676",
                    "Essay #225: <br>The Supernatural in Shakespeare's Comedies: A Tool for Humor, Love, and Social Commentary<br> Word Count: 534",
                    "Essay #226: <br>Shakespeare's Tragic Histories: Exploring the Intersection of History and Universal Themes<br> Word Count: 737",
                    "Essay #227: <br>The Importance of Friendship in Shakespeare's Plays<br> Word Count: 617",
                    "Essay #228: <br>The Role of Fate in Shakespeare's Comedies<br> Word Count: 591",
                    "Essay #229: <br>Shakespeare's Depiction of War and Violence: A Study of the Causes, Consequences, and Human Toll<br> Word Count: 485",
                    "Essay #230: <br>The Madness of Hamlet: A Study of Shakespeare's Portrayal<br> Word Count: 646",
                    "Essay #231: <br>The Representation of Women in Hamlet: Shakespeare's Depiction of Female Characters and Gender Roles<br> Word Count: 550",
                    "Essay #232: <br>The Motif of Disease and Decay in Hamlet: Shakespeare's Use of Imagery to Convey Themes<br> Word Count: 541",
                    "Essay #233: <br>The Destructive Power of Ambition in Macbeth<br> Word Count: 587",
                    "Essay #234: <br>The Psychological Effects of Guilt in Macbeth<br> Word Count: 668",
                    "Essay #235: <br>The Representation of Masculinity in Macbeth: A Gendered Analysis<br> Word Count: 576",
                    "Essay #236: <br>The Use of Supernatural Elements in Macbeth: Shakespeare's Masterful Creation of Foreboding and Dramatic Tension<br> Word Count: 559",
                    "Essay #237: <br>The Madness of King Lear: A Psychological Analysis<br> Word Count: 607",
                    "Essay #238: <br>The Struggle for Power in King Lear<br> Word Count: 574",
                    "Essay #239: <br>Exploring the Metaphor of Blindness in King Lear<br> Word Count: 620",
                    "Essay #240: <br>The Inevitability of Death in Hamlet<br> Word Count: 548",
                    "Essay #241: <br>The Complex and Fraught Relationships between Fathers and Sons in Hamlet<br> Word Count: 532",
                    "Essay #242: <br>The Significance of Religious Motifs in Shakespeare's Hamlet<br> Word Count: 707",
                    "Essay #243: <br>The Power of Language and Rhetoric in Hamlet<br> Word Count: 632",
                    "Essay #244: <br>The Representation of Evil in Macbeth: A Study of Shakespeare's Depiction of Evil Characters and Their Consequences<br> Word Count: 568",
                    "Essay #245: <br>The Inevitability of Fate in Macbeth<br> Word Count: 693",
                    "Essay #246: <br>Power Dynamics in Macbeth: Shakespeare's Portrayal of the Struggle for Power and Its Effects on Individuals and Society<br> Word Count: 564",
                    "Essay #247: <br>The Elusive Nature of Justice in King Lear<br> Word Count: 586",
                    "Essay #248: <br>The Search for Self-Knowledge in King Lear<br> Word Count: 626",
                    "Essay #249: <br>Symbolism in King Lear: Conveying Themes and Commenting on Human Society<br> Word Count: 697",
                    "Essay #250: <br>The Complex Representation of Women in Shakespeare's Plays<br> Word Count: 462",
                    "Essay #251: <br>Shakespeare's Language: Masterful Use of Poetic Devices<br> Word Count: 565",
                    "Essay #252: <br>Exploring the Different Types of Love in Shakespeare's Plays<br> Word Count: 538",
                    "Essay #253: <br>Shakespeare's Enduring Legacy: Exploring His Influence on Modern Culture<br> Word Count: 618",
                    "Essay #254: <br>The Power of the Supernatural in Shakespeare's Plays<br> Word Count: 398",
                    "Essay #255: <br>Shakespeare's Complex Representation of Race in his Plays<br> Word Count: 520",
                    "Essay #256: <br>Shakespeare's Historical Portrayals: A Commentary on Contemporary Politics<br> Word Count: 508",
                    "Essay #257: <br>The Jester's Role in Shakespeare's Plays: Providing Comic Relief, Commentary, and Contrast<br> Word Count: 588",
                    "Essay #258: <br>Exploring Shakespeare's Representation of Masculinity in His Plays<br> Word Count: 543",
                    "Essay #259: <br>Shakespeare's Comedic Genius: The Use of Humor to Engage and Critique Society<br> Word Count: 508",
                    "Essay #260: <br>The Art of Musical Language in Shakespeare's Plays<br> Word Count: 599",
                    "Essay #261: <br>The Struggle for Power in Shakespeare's Plays<br> Word Count: 617",
                    "Essay #262: <br>Madness in Shakespeare's Plays: A Study of Mental Illness and Its Impact on Characters<br> Word Count: 640",
                    "Essay #263: <br>The Power of Setting in Shakespeare's Plays<br> Word Count: 598",
                    "Essay #264: <br>Fate vs. Free Will in Shakespeare's Works<br> Word Count: 652",
                    "Essay #265: <br>The Inevitability of Death: Shakespeare's Portrayal of Mortality and Grief<br> Word Count: 576",
                    "Essay #266: <br>The Master of Irony: Shakespeare's Ingenious Use of Verbal and Situational Irony <br> Word Count: 615",
                    "Essay #267: <br>Politics in Shakespeare's Plays: An Analysis of Power, Government, and Consequences<br> Word Count: 587",
                    "Essay #268: <br>The Art of Symbolism in Shakespearean Plays<br> Word Count: 571",
                    "Essay #269: <br>Shakespeare's Portrayal of Religion in His Plays: A Complex and Nuanced Exploration<br> Word Count: 491",
                    "Essay #270: <br>The Natural World in Shakespearean Plays<br> Word Count: 639",
                    "Essay #271: <br>Shakespeare's Exploration of Social Class in his Plays<br> Word Count: 517",
                    "Essay #272: <br>The Complexity of Family Relationships in Shakespearean Plays<br> Word Count: 531",
                    "Essay #273: <br>Shakespeare's Exploration of Gender Identity in his Plays<br> Word Count: 610",
                    "Essay #274: <br>Shakespearean Tragedy: The Art of Exploring Deep Emotions and Social Issues<br> Word Count: 600",
                    "Essay #275: <br>The Supernatural in Shakespeare's Comedies: A Tool for Humor, Love, and Commentary<br> Word Count: 420",
                    "Essay #276: <br>Shakespeare's Historical Influences in Tragedies: A Commentary on Contemporary Issues and Universal Themes<br> Word Count: 527",
                    "Essay #277: <br>The Importance and Complexity of Friendship in Shakespeare's Plays<br> Word Count: 511",
                    "Essay #278: <br>Fate and Fortune in Shakespearean Comedies<br> Word Count: 585",
                    "Essay #279: <br>Shakespeare's Insightful Portrayal of War and Violence<br> Word Count: 482",
                    "Essay #280: <br>Madness in Hamlet: A Study of Shakespeare's Portrayal<br> Word Count: 502",
                    "Essay #281: <br>The Portrayal of Women in Hamlet: A Gendered Analysis<br> Word Count: 533",
                    "Essay #282: <br>The Motif of Disease and Decay in Hamlet: Shakespeare's Conveyance of Themes<br> Word Count: 545",
                    "Essay #283: <br>The Destructive Power of Ambition in Macbeth<br> Word Count: 540",
                    "Essay #284: <br>The Psychological Effects of Guilt in Macbeth: Shakespeare's Masterful Portrayal<br> Word Count: 602",
                    "Essay #285: <br>The Representation of Masculinity in Macbeth<br> Word Count: 476",
                    "Essay #286: <br>The Role of Supernatural Elements in Macbeth<br> Word Count: 515",
                    "Essay #287: <br>Madness in King Lear: A Portrayal of Psychological Effects and Consequences<br> Word Count: 522",
                    "Essay #288: <br>The Struggle for Power in King Lear: An Analysis of its Impact on the Characters and Plot<br> Word Count: 531",
                    "Essay #289: <br>The Metaphor of Blindness in Shakespeare's King Lear<br> Word Count: 514",
                    "Essay #290: <br>The Inevitability of Death in Hamlet: Shakespeare's Exploration of Mortality<br> Word Count: 542",
                    "Essay #291: <br>The Complex and Fraught Relationships of Fathers and Sons in Hamlet<br> Word Count: 406",
                    "Essay #292: <br>The Significance of Religious Motifs in Hamlet<br> Word Count: 576",
                    "Essay #293: <br>The Power of Language and Rhetoric in Hamlet<br> Word Count: 656",
                    "Essay #294: <br>The Portrayal of Evil in Macbeth: An Analysis of Shakespeare's Depiction of Wicked Characters and Their Consequences<br> Word Count: 585",
                    "Essay #295: <br>The Power of Fate in Shakespeare's Macbeth<br> Word Count: 536",
                    "Essay #296: <br>The Struggle for Power and its Effects on Individuals and Society in Macbeth<br> Word Count: 674",
                    "Essay #297: <br>Justice and Injustice in King Lear: Shakespeare's Portrayal<br> Word Count: 539",
                    "Essay #298: <br>The Search for Self-Knowledge and Self-Understanding in King Lear<br> Word Count: 494",
                    "Essay #299: <br>The Symbolic World of King Lear: An Exploration of Shakespeare's Use of Symbolism<br> Word Count: 602",
                    "Essay #300: <br>Social Class and Marriage in \"Pride and Prejudice\"<br> Word Count: 352",
                    "Essay #301: <br>The Role of Women in 18th Century England as Depicted in \"Sense and Sensibility\"<br> Word Count: 390",
                    "Essay #302: <br>The Theme of Wealth and Its Impact on Relationships in \"Emma\"<br> Word Count: 275",
                    "Essay #303: <br>The Use of Satire in \"Northanger Abbey\"<br> Word Count: 606",
                    "Essay #304: <br>The Theme of Love and Self-Discovery in \"Persuasion\"<br> Word Count: 285",
                    "Essay #305: <br>The Portrayal of Masculinity in \"Mansfield Park\"<br> Word Count: 824",
                    "Essay #306: <br>The Role of Education in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 275",
                    "Essay #307: <br>The Concept of Duty and Obligation in \"Sense and Sensibility\"<br> Word Count: 285",
                    "Essay #308: <br>The Use of Irony in \"Pride and Prejudice\"<br> Word Count: 350",
                    "Essay #309: <br>The Influence of Gothic Literature on \"Northanger Abbey\"<br> Word Count: 148",
                    "Essay #310: <br>The Representation of Femininity and Masculinity in \"Sense and Sensibility\" and \"Mansfield Park\"<br> Word Count: 177",
                    "Essay #311: <br>The Role of Parents and Guardians in Shaping the Lives of Young Women in \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 315",
                    "Essay #312: <br>The Portrayal of Marriage and Family Life in \"Mansfield Park\" and \"Persuasion\"<br> Word Count: 281",
                    "Essay #313: <br>The Use of Language and Dialogue to Reveal Character in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 150",
                    "Essay #314: <br>The Theme of Appearance Versus Reality in \"Sense and Sensibility\" and \"Pride and Prejudice\"<br> Word Count: 388",
                    "Essay #315: <br>The Impact of Societal Expectations on the Choices and Actions of Characters in \"Emma\" and \"Mansfield Park\"<br> Word Count: 192",
                    "Essay #316: <br>The Representation of Social Mobility and Upward Mobility in \"Pride and Prejudice\" and \"Sense and Sensibility\"<br> Word Count: 252",
                    "Essay #317: <br>The Portrayal of Sibling Relationships in \"Mansfield Park\" and \"Persuasion\"<br> Word Count: 225",
                    "Essay #318: <br>The Role of Friendship in \"Emma\" and \"Northanger Abbey\"<br> Word Count: 617",
                    "Essay #319: <br>The Use of Humor and Wit in Austen's Novels.<br> Word Count: 219",
                    "Essay #320: <br>Gender and Power in Jane Austen’s Novels: A Comparative Study of “Sense and Sensibility,” “Pride and Prejudice,” and “Mansfield Park.”<br> Word Count: 559",
                    "Essay #321: <br>Domesticity and Revolution: The Paradoxes of Jane Austen’s “Emma” in the Age of Revolution.<br> Word Count: 303",
                    "Essay #322: <br>The Satire of Morality and Manners in “Persuasion”: How Jane Austen's Last Novel Subverts the Popular Conventions of Her Time.<br> Word Count: 350",
                    "Essay #323: <br>The Transformation of the Heroine in Jane Austen's Novels: From Passive Observers to Active Participants.<br> Word Count: 321",
                    "Essay #324: <br>The Politics of Courtship: Jane Austen’s “Northanger Abbey” as a Critique of the Marriage Market.<br> Word Count: 206",
                    "Essay #325: <br>Love and Class Struggle in Jane Austen's “Sense and Sensibility.”<br> Word Count: 206",
                    "Essay #326: <br>Jane Austen and the Gothic: A Comparative Analysis of “Northanger Abbey” and “Mansfield Park.”<br> Word Count: 170",
                    "Essay #327: <br>Narrative Voice and Free Indirect Discourse in Jane Austen’s “Pride and Prejudice.”<br> Word Count: 406",
                    "Essay #328: <br>Female Authorship and the Novel in Jane Austen’s “Emma.”<br> Word Count: 193",
                    "Essay #329: <br>The Significance of Money and Property in Jane Austen’s Novels: A Study of “Pride and Prejudice” and “Sense and Sensibility.”<br> Word Count: 339",
                    "Essay #330: <br>The Role of Food and Eating in Jane Austen's Novels: A Study of \"Emma\" and \"Sense and Sensibility\"<br> Word Count: 309",
                    "Essay #331: <br>The Concept of Femininity in Jane Austen's \"Pride and Prejudice\": A Close Reading of Elizabeth Bennet's Character<br> Word Count: 265",
                    "Essay #332: <br>The Importance of Social Etiquette in \"Mansfield Park\" and \"Northanger Abbey\"<br> Word Count: 530",
                    "Essay #333: <br>The Representation of Love and Marriage in Jane Austen's \"Persuasion\"<br> Word Count: 278",
                    "Essay #334: <br>The Significance of the Country Estate in Jane Austen's Novels: A Comparative Study of \"Mansfield Park\" and \"Emma\"<br> Word Count: 114",
                    "Essay #335: <br>The Use of Letter Writing in Jane Austen's Novels: A Comparative Analysis of \"Sense and Sensibility\" and \"Pride and Prejudice\"<br> Word Count: 214",
                    "Essay #336: <br>The Character of Mr. Darcy in \"Pride and Prejudice\": A Study of Austen's Representation of Masculinity<br> Word Count: 265",
                    "Essay #337: <br>The Satirical Critique of the Upper Class in \"Northanger Abbey\"<br> Word Count: 821",
                    "Essay #338: <br>Jane Austen's Representation of Female Friendship in \"Emma\" and \"Sense and Sensibility\"<br> Word Count: 250",
                    "Essay #339: <br>The Role of Education in Jane Austen's Novels: A Comparative Study of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 409",
                    "Essay #340: <br>The Concept of Courtship in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 276",
                    "Essay #341: <br>The Importance of Dance in Jane Austen's Novels: A Comparative Analysis of \"Pride and Prejudice\" and \"Emma\"<br> Word Count: 255",
                    "Essay #342: <br>Jane Austen's Representation of Marriage as a Social Contract in \"Sense and Sensibility\"<br> Word Count: 424",
                    "Essay #343: <br>The Significance of the Governess Figure in Jane Austen's \"Mansfield Park\"<br> Word Count: 150",
                    "Essay #344: <br>Jane Austen's Critique of the Church and Religion in \"Mansfield Park\"<br> Word Count: 343",
                    "Essay #345: <br>The Role of Money and Inheritance in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Mansfield Park\"<br> Word Count: 389",
                    "Essay #346: <br>The Representation of Female Agency in Jane Austen's \"Northanger Abbey\"<br> Word Count: 375",
                    "Essay #347: <br>Jane Austen's Use of Irony and Humor in \"Persuasion\"<br> Word Count: 306",
                    "Essay #348: <br>The Importance of Self-Reflection in Jane Austen's Novels: A Comparative Study of \"Emma\" and \"Persuasion\"<br> Word Count: 228",
                    "Essay #349: <br>The Representation of Female Beauty and Aging in Jane Austen's Novels: A Study of \"Pride and Prejudice\" and \"Sense and Sensibility\"<br> Word Count: 664",
                    "Essay #350: <br>The Role of Women in Shakespeare's Plays: A Comparative Study of Portia, Viola, and Lady Macbeth<br> Word Count: 300",
                    "Essay #351: <br>The Tragic Hero in Shakespeare's Works: Examining the Characterization of Hamlet, Macbeth, and Othello<br> Word Count: 272",
                    "Essay #352: <br>The Concept of Power in Shakespeare's Plays: An Analysis of Richard III, King Lear, and Julius Caesar<br> Word Count: 312",
                    "Essay #353: <br>The Use of Imagery in Shakespeare's Sonnets: An Exploration of the Poet's Language and Symbolism<br> Word Count: 164",
                    "Essay #354: <br>Shakespeare's Use of Supernatural Elements: A Comparative Study of Macbeth and a Midsummer Night's Dream<br> Word Count: 422",
                    "Essay #355: <br>The Theme of Jealousy in Shakespeare's Plays: A Comparative Analysis of Othello and the Winter's Tale<br> Word Count: 323",
                    "Essay #356: <br>The Influence of Classical Literature on Shakespeare's Works: An Examination of Julius Caesar and Antony and Cleopatra<br> Word Count: 75",
                    "Essay #357: <br>The Significance of Madness in Shakespeare's Plays: An Analysis of Hamlet and King Lear<br> Word Count: 496",
                    "Essay #358: <br>The Role of Fate and Free Will in Shakespeare's Tragedies: A Comparative Study of Romeo and Juliet, Julius Caesar, and Macbeth<br> Word Count: 374",
                    "Essay #359: <br>The Portrayal of Kingship in Shakespeare's Histories: An Examination of Henry IV, Part 1 and Richard II<br> Word Count: 340",
                    "Essay #360: <br>The Theme of Revenge in Shakespeare's Plays: An Analysis of Titus Andronicus, Hamlet, and the Tempest<br> Word Count: 218",
                    "Essay #361: <br>The Representation of Love in Shakespeare's Sonnets: An Exploration of the Poet's Views on Romantic and Platonic Love<br> Word Count: 305",
                    "Essay #362: <br>The Use of Deception in Shakespeare's Comedies: An Analysis of Twelfth Night and Much Ado About Nothing<br> Word Count: 535",
                    "Essay #363: <br>The Concept of Time in Shakespeare's Plays: An Examination of the Winter's Tale and the Tempest<br> Word Count: 265",
                    "Essay #364: <br>The Significance of Music in Shakespeare's Plays: A Comparative Study of the Tempest and Twelfth Night.<br> Word Count: 95",
                    "Essay #365: <br>The Representation of Gender Roles in Shakespeare's Plays: An Analysis of as You Like It and the Taming of the Shrew<br> Word Count: 256",
                    "Essay #366: <br>The Significance of Setting in Shakespeare's Plays: An Examination of Romeo and Juliet and the Merchant of Venice<br> Word Count: 238",
                    "Essay #367: <br>The Role of Friendship in Shakespeare's Works: A Comparative Study of Julius Caesar and Antony and Cleopatra<br> Word Count: 225",
                    "Essay #368: <br>The Use of Language in Shakespeare's Plays: An Exploration of the Poet's Linguistic Creativity<br> Word Count: 471",
                    "Essay #369: <br>The Representation of Ethnicity in Shakespeare's Plays: An Analysis of Othello and the Merchant of Venice<br> Word Count: 420",
                    "Essay #370: <br>The Role of Religion in Shakespeare's Works: An Examination of Measure for Measure and the Tempest<br> Word Count: 748",
                    "Essay #371: <br>The Representation of Power and Politics in Shakespeare's Histories: An Analysis of Henry v and Richard III<br> Word Count: 411",
                    "Essay #372: <br>The Use of Comedy in Shakespeare's Plays: A Comparative Study of the Merry Wives of Windsor and a Midsummer Night's Dream<br> Word Count: 133",
                    "Essay #373: <br>The Significance of Family Relationships in Shakespeare's Plays: An Examination of King Lear and the Tempest<br> Word Count: 134",
                    "Essay #374: <br>The Representation of Justice in Shakespeare's Works: A Comparative Study of the Merchant of Venice and Measure for Measure.<br> Word Count: 676",
                    "Essay #375: <br>The Role of Nature in Shakespeare's Plays: An Analysis of King Lear and the Tempest<br> Word Count: 249",
                    "Essay #376: <br>The Significance of Imagery in Shakespeare's Plays: An Examination of Macbeth and Romeo and Juliet<br> Word Count: 219",
                    "Essay #377: <br>The Representation of Madness in Shakespeare's Plays: A Comparative Study of Hamlet and King Lear<br> Word Count: 415",
                    "Essay #378: <br>The Use of Irony in Shakespeare's Works: An Analysis of Twelfth Night and Much Ado About Nothing<br> Word Count: 206",
                    "Essay #379: <br>The Theme of Love in Shakespeare's Tragedies: An Exploration of Romeo and Juliet and Antony and Cleopatra<br> Word Count: 175",
                    "Essay #380: <br>The Significance of Masks and Disguises in Shakespeare's Comedies: An Examination of as You Like It and the Merchant of Venice<br> Word Count: 377",
                    "Essay #381: <br>The Representation of Women's Roles in Shakespeare's Histories: A Comparative Study of Henry v and Richard III<br> Word Count: 271",
                    "Essay #382: <br>The Use of Foreshadowing in Shakespeare's Plays: An Analysis of Julius Caesar and Macbeth<br> Word Count: 317",
                    "Essay #383: <br>The Significance of Dreams and Visions in Shakespeare's Works: An Exploration of a Midsummer Night's Dream and Julius Caesar<br> Word Count: 509",
                    "Essay #384: <br>The Representation of War in Shakespeare's Plays: An Examination of Henry v and Macbeth<br> Word Count: 144",
                    "Essay #385: <br>The Use of Puns in Shakespeare's Comedies: A Comparative Study of Much Ado About Nothing and the Comedy of Errors<br> Word Count: 322",
                    "Essay #386: <br>The Significance of Ghosts and Apparitions in Shakespeare's Plays: An Analysis of Hamlet and Macbeth<br> Word Count: 184",
                    "Essay #387: <br>The Role of Honor in Shakespeare's Works: An Examination of Othello and Coriolanus<br> Word Count: 245",
                    "Essay #388: <br>The Representation of Kingship in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth<br> Word Count: 238",
                    "Essay #389: <br>The Use of Metaphors in Shakespeare's Plays: An Analysis of the Tempest and the Winter's Tale<br> Word Count: 524",
                    "Essay #390: <br>The Significance of Race in Shakespeare's Works: An Exploration of Othello and Titus Andronicus<br> Word Count: 133",
                    "Essay #391: <br>The Representation of Women's Bodies in Shakespeare's Plays: An Examination of the Rape of Lucrece and Titus Andronicus<br> Word Count: 820",
                    "Essay #392: <br>The Use of Soliloquies in Shakespeare's Tragedies: A Comparative Study of Hamlet and Macbeth<br> Word Count: 324",
                    "Essay #393: <br>The Significance of Animal Imagery in Shakespeare's Plays: An Analysis of King Lear and a Midsummer Night's Dream<br> Word Count: 120",
                    "Essay #394: <br>The Role of Religion in Shakespeare's Tragedies: An Examination of Hamlet and Macbeth<br> Word Count: 379",
                    "Essay #395: <br>The Representation of Friendship in Shakespeare's Comedies: A Comparative Study of Twelfth Night and the Two Gentlemen of Verona<br> Word Count: 90",
                    "Essay #396: <br>The Use of Repetition in Shakespeare's Plays: An Analysis of Richard III and the Winter's Tale<br> Word Count: 335",
                    "Essay #397: <br>The Significance of Names in Shakespeare's Works: An Exploration of Romeo and Juliet and Othello<br> Word Count: 272",
                    "Essay #398: <br>The Representation of Masculinity in Shakespeare's Plays: An Examination of the Merchant of Venice and Antony and Cleopatra<br> Word Count: 338",
                    "Essay #399: <br>The Use of Mirrors and Reflections in Shakespeare's Tragedies: A Comparative Study of Macbeth and King Lear.<br> Word Count: 409"
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                    "size": 18
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      "source": [
        "# We are finally ready to plot the graph\n",
        "fig = go.Figure(\n",
        "    data=[edge_trace, node_trace],\n",
        "   layout=go.Layout(\n",
        "      title='<b>Semantic Similarity Graph of Essays</b><br>(for each essay, the most similar three essays are connected by an edge)',\n",
        "      title_x=0.5,\n",
        "      titlefont_size=18,\n",
        "      hovermode='closest',\n",
        "      margin=dict(b=20,l=5,r=5,t=40),\n",
        "      xaxis=dict(showgrid=False, zeroline=False, showticklabels=False),\n",
        "      yaxis=dict(showgrid=False, zeroline=False, showticklabels=False),\n",
        "      width=1200,\n",
        "      height=600,\n",
        "      template='plotly_white',\n",
        "      ),\n",
        "      )\n",
        "fig.show()"
      ]
    },
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        "#### Observations:\n",
        "\n",
        "* The graph reveals that several essays, such as Essay #118, Essay #301, and Essay #236 (highlighted in darker shades of blue), exhibit numerous connections with other essays. This implies that these essays possess a significant degree of semantic similarity with a wide range of other essays. \n",
        "\n",
        "* If these essays were actual academic papers or school essays, for instance, it would be worthwhile to investigate them further to determine whether they are genuinely comparable and examine whether there are any indications of plagiarism."
      ]
    },
    {
      "attachments": {},
      "cell_type": "markdown",
      "metadata": {
        "id": "wOxSqIRiGsk1"
      },
      "source": [
        ">  With this example, we have reached the end of this tutorial. We hope that you have found it useful. If you have any questions or suggestions, please feel free to contact us."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "N2BP--vZGsk1"
      },
      "source": [
        "##### $\\square$ Q.E.D."
      ]
    }
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