Lecture

TNB Frame: Frenet-Serret Formulas

In course

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Description

This lecture covers the TNB frame, consisting of the tangent, normal, and binormal vectors, which define a local rectangular coordinate system along a curve. It also explains the Frenet-Serret formulas, which describe the behavior of a curve using the tangent, normal, and binormal vectors. The lecture delves into the concept of the TNB frame moving along a curve, the formulas for calculating the TNB frame, and the implications of the TNB frame in understanding the local behavior of a curve.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_90pg9wn2

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Ontological neighbourhood

Mathematics

Geometry: Euclidean geometry, Differential geometry

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