Curvature and Inflection Points

In course

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Description

This lecture covers the concept of curvature in a plane curve, defining convex and concave curves, inflection points, and spirals. It also explains the angular function of a curve and its continuity, focusing on inflection points where the curvature changes sign. The lecture delves into the mathematical properties of curves, such as the angular function and its variations, emphasizing the significance of inflection points in curve analysis.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_7srt1jbf

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry, Euclidean geometry

Analysis: Calculus

Logic

Classical logic: First-order logic

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