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Produit mixteCovers the concept of the mixed product and related vector identities.
Indicial Notation and Tensor ComponentsCovers the manipulation of indicial notation and tensor components, focusing on concepts such as indical notation, free indices, contraction, and the dot product.
Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Vector Calculus in 3DCovers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.