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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 introduces the concept of intervals in Rn, using balls as a geometric representation. It explains open, closed, semi-open, and semi-closed intervals, emphasizing the importance of norms in defining balls. The lecture also covers the definitions of open and closed sets, interior points, boundaries, closures, bounded domains, and compact sets. It concludes with discussions on unions and intersections of open and closed sets, highlighting the differences between them.