Lecture

Scalar Product and Euclidean Spaces

Related lectures (79)
Lorentz-Minkowski Spacetime
Covers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.
Vector Spaces and Topology
Covers vector spaces, topology, and proof methods like the pigeonhole principle in R^n.
Orthonormal Vectors Properties
Explores the properties of orthonormal vectors in Euclidean space through key equations and demonstrations.
Norme, Cauchy-Schwarz InequalityMOOC: Algebra (part 1)
Covers the definition of norm, distance between vectors, and Cauchy-Schwarz inequality.
Linear Algebra: Dot Product and Pre-Hilbertian Spaces
Explores pre-Hilbertian spaces, focusing on dot product properties and algebraic bases.
Bilinear Forms
Covers bilinear forms in vector spaces, their properties, orthogonality, and equivalence conditions.
Symmetric Matrices and Quadratic Forms
Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.
Canonical Couplings in Linear Algebra
Explores canonical couplings in linear algebra, emphasizing their notation and usefulness in various applications.
Inner Product Spacer
Covers the concept of inner product spacer and its importance in mathematical contexts.
Interpolation of Lagrange: Dualité and Coupling
Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.