Lecture

Orthogonality, Triangle Inequality, Pythagorean Theorem

Description

This lecture covers the concepts of orthogonality, triangle inequality, and the Pythagorean theorem in the context of a vector space with a scalar product. It explains how to determine if two vectors are orthogonal, the triangle inequality for vector norms, and the Pythagorean theorem for orthogonal vectors. Examples are provided to illustrate these concepts using continuous functions and their scalar products.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_yst1t8og

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Algebra: Linear algebra

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