Translations and Homotheties

Description

This lecture covers the concepts of translations and homotheties, explaining how a vector's translation is a geometric transformation described by M² = t_(M), and how homotheties are transformations described by M² = h_₂₁ α (M) = t₁² (2²). It also delves into the analytical expressions of these transformations, showing how to describe them using coordinates. The lecture concludes with a discussion on the stability of homotheties/translations by composition.

Official source

https://mediaspace.epfl.ch/media/0_r74jt9w6

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Differential anaysis

Geometry: Euclidean geometry

Information engineering

Natural language processing: Topics in natural language processing

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