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```python
# AI Dev Tool: Omni Vector Search
# A production-ready developer code asset for PostgreSQL Vector Search Extension

import os
import psycopg2
from psycopg2 import Error
from typing import List, Dict
import numpy as np
from nextjs_expo_monorepo_boilerplate import create_app

# Define a function to connect to PostgreSQL database
def connect_to_db(host: str, database: str, user: str, password: str) -> psycopg2.connection:
    """
    Connect to a PostgreSQL database.

Args:
    - host (str): The host URL of the database.
    - database (str): The name of the database.
    - user (str): The username to use for the connection.
    - password (str): The password to use for the connection.

Returns:
    - connection (psycopg2.connection): The connection object.
    """
    try:
        connection = psycopg2.connect(
            host=host,
            database=database,
            user=user,
            password=password
        )
        return connection
    except Error as e:
        print(f"Error connecting to database: {e}")
        return None

# Define a function to create a vector search index
def create_vector_search_index(connection

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