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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 discusses the concept of uniform continuity for functions defined on closed and bounded intervals, also known as compact sets. The instructor proves that a continuous function on a compact set is necessarily uniformly continuous using a proof by contradiction method. The lecture explores various scenarios and mathematical demonstrations to illustrate this fundamental theorem.