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This lecture by the instructor covers the main purposes of scientific research, focusing on finding fundamental principles and solving practical problems. It delves into basic paradigms of research, such as the Keplerian and Newtonian approaches, and highlights successful examples in fields like Bioinformatics and Physics. The lecture discusses the impact of computers and numerical algorithms on research, emphasizing the substantial advancements in various industries. It also explores the application of deep learning in solving high-dimensional mathematical problems, providing effective tools for approximating functions. The lecture concludes by discussing new algorithms, models, and experimental protocols in the field of AI for Science.