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Theoretical Computer Science is a branch of study concerned with formal systems, algorithms, computational complexity, and information theory. It lies at the intersection of mathematics and computer science, providing foundational principles and methodologies for understanding the capabilities and limitations of computation. As such, it forms an integral part of Information Theory, exploring mathematical models of information, data compression, communication networks, and cryptography. Theoretical Computer Science delves into the abstract underpinnings of algorithms, languages, logic, and automata, thereby contributing to scientific inquiry in a broader sense by fostering interdisciplinary collaboration between computer science, mathematics, and various natural sciences. It not only advances our understanding of computation but also impacts numerous practical applications across diverse fields, including artificial intelligence, machine learning, and data analytics.