Lecture

Analytical Study of Space

Description

This lecture covers the analytical study of space, focusing on points, lines, and planes. It explains the concept of a reference frame in 3D space, the choice of a base, orthonormal bases, and the coordinates of points in space. The lecture also delves into the study of planes, fixing a reference frame, and the equations that describe them. It concludes with the study of lines, finding points on a line, and determining the direction of a line in space.

Official source

https://mediaspace.epfl.ch/media/0_qzhl34pn

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Physics

Mechanics: Classical mechanics

Relativity: Special relativity

Statistics

Statistical inference: Mathematical statistics

Data collection: Experiment

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