Core Concept - The article discusses the evolution and impact of algorithms in various fields, highlighting their increasing complexity and the balance between transparency and power [1][3]. Group 1: Social Media Algorithms - Facebook's algorithm influences the content seen by its 2.8 billion monthly users, utilizing a complex system that evaluates around 100,000 factors to rank posts [5]. - The lack of transparency in Facebook's algorithm has raised concerns about its prioritization of sensational content over socially beneficial information [5]. Group 2: Weather Forecasting Algorithms - The UK's weather forecasting relies on the Unified Model algorithm, which processes data from meteorological stations and satellites, achieving a 92% accuracy rate for temperature predictions within 2°C [6]. Group 3: Image Compression Algorithms - The JPEG compression algorithm allows for efficient image sharing online by reducing data size while maintaining quality, based on human visual perception [7][9]. Group 4: Search Engine Algorithms - Google's PageRank algorithm revolutionized search by ranking web pages based on the quantity and quality of links, though it has evolved into a more complex system analyzing hundreds of factors [10][12]. Group 5: Financial Algorithms - Algorithms dominate financial trading, with high-frequency trading leveraging microsecond differences across global exchanges to execute numerous trades for small profits [13][15]. - More complex algorithms are now incorporating AI and machine learning, analyzing a wider range of variables beyond traditional market data [15]. Group 6: Encryption Algorithms - The RSA algorithm enables secure communication by using a pair of keys for encryption and decryption, relying on the difficulty of factoring large prime numbers [16][17]. Group 7: Healthcare Algorithms - Algorithms are increasingly used in healthcare for triaging patients and diagnosing conditions, with some systems outperforming human doctors in interpreting medical images [18]. Group 8: Internet Protocol Algorithms - The Internet Protocol Suite governs data exchange over the internet, ensuring reliable communication even when certain routes are disrupted [19][21]. Group 9: Scientific Research Algorithms - The Monte Carlo algorithm, developed during WWII, simulates complex physical phenomena to predict outcomes, showcasing the power of computational methods in scientific research [22].