Notebooks/Dot Product.ipynb

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   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import plotly.graph_objects as go\n",
    "import plotly.express as px\n",
    "import random"
   ]
  },
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    "person1 = np.array([15, 35])\n",
    "person2 = np.array([25, 80])\n",
    "person3 = np.array([30, 90])\n",
    "person4 = np.array([35, 70])"
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   "id": "2acc9db2",
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   "source": [
    "df = pd.DataFrame({\n",
    "    'Person': ['Person 1', 'Person 2', 'Person 3', 'Person 4'],\n",
    "    'Age': [person1[0], person2[0], person3[0], person4[0]],\n",
    "    'Weight': [person1[1], person2[1], person3[1], person4[1]]\n",
    "})"
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   "execution_count": 40,
   "id": "2acc9db3",
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   "source": [
    "dot_products = []\n",
    "for i in range(len(df)):\n",
    "    for j in range(i+1, len(df)):\n",
    "        dot_product = np.dot(df.loc[i, ['Age', 'Weight']], df.loc[j, ['Age', 'Weight']])\n",
    "        dot_products.append((df.loc[i, 'Person'], df.loc[j, 'Person'], round(dot_product, 2)))  # round the dot product value\n"
   ]
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   ],
   "source": [
    "fig = px.scatter(df, x='Age', y='Weight', color='Person', size_max=60, title='Visualizing people as vectors')\n",
    "\n",
    "# Add lines from the origin to each point\n",
    "for _, row in df.iterrows():\n",
    "    fig.add_trace(go.Scatter(x=[0, row['Age']], y=[0, row['Weight']],\n",
    "                             mode='lines',\n",
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    "                             name=row['Person']))\n",
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    "annotations = []\n",
    "start_position = df['Weight'].min() - 30  # Start the labels 30 units lower\n",
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    "    label = f'Dot product ({pair[0]}, {pair[1]}): {pair[2]}'\n",
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    "        x=df['Age'].max(), \n",
    "        y=start_position - idx * 10,  # Subtract idx * 10 to increase space between labels\n",
    "        xref=\"x\",\n",
    "        yref=\"y\",\n",
    "        text=label,\n",
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    "        borderwidth=1,\n",
    "        borderpad=4,\n",
    "        bgcolor=\"white\",\n",
    "        opacity=0.8\n",
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    "\n",
    "fig.update_layout(annotations=annotations)\n",
    "\n",
    "# Show the plot\n",
    "fig.show()"
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