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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the concepts of reciprocal functions, strict monotonicity, and continuity in the context of advanced analysis. It discusses the properties of functions defined on closed intervals, their derivatives, and the existence of reciprocal functions. The lecture also explores the conditions for a function to be strictly monotone and bijective, emphasizing the importance of continuity and differentiability. Various examples and demonstrations are provided to illustrate these mathematical concepts.