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Related lectures (31)
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Produit mixte
Covers the concept of the mixed product and related vector identities.
Postulates of Quantum Mechanics
Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.
Indicial Notation and Tensor Components
Covers 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 Spaces
Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Vectors: Dot Product
Covers the dot product between vectors and orthogonal projections.
Vector Calculus in 3D
Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
The Topological Künneth Theorem
Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.
Matrix Operations: Linear Systems and Solutions
Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.
Scalar Products in 2D and 3D Geometry
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Dirac's Notation, Tensor Product
Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.