Monte Carlo

This text references "Monte Carlo," which is part of Monaco and known for its rich history and culture. As a casino resort destination, it attracts tourists worldwide. Monte Carlo is renowned for its splendid architecture and magnificent scenery, including the famous Monte Carlo Casino and the Monte Carlo Opera House. Beyond gambling and entertainment, it offers numerous museums, historical buildings, and gourmet restaurants for exploration. In essence, Monte Carlo is worth visiting for anyone interested in cultural history or leisure tourism, offering a variety of activities. From a technical perspective, the term "Monte Carlo" also refers to a class of computational algorithms that rely on repeated random sampling to estimate results—commonly used in simulations, optimization, and probabilistic modeling. For instance, a Python code snippet below illustrates a basic Monte Carlo simulation for estimating π: import random def monte_carlo_pi(num_samples): inside_circle = 0 for _ in range(num_samples): x, y = random.random(), random.random() if x**2 + y**2 <= 1: inside_circle += 1 return (inside_circle / num_samples) * 4 This code randomly generates points in a unit square and calculates the ratio inside a quarter-circle to approximate π. Such implementations demonstrate how Monte Carlo methods transform complex problems into manageable stochastic computations.