Concept
Bilinear form
Related lectures (73)
Tensor Product: Bilinear Maps
Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Toy example: linearization
Covers the linearization procedure applied to a first-order system with a nonlinearity.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Trigonometric Polynomials: Fourier Inversion and Plancherel Formulas
Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.
Trust region methods: framework & algorithms
Covers trust region methods, focusing on the framework and algorithms.
Hermitian Forms: Definition and Properties
Explores the definition and properties of Hermitian forms in complex vector spaces.
Finite Element Method: Weak Solutions
Covers weak solutions in the finite element method, emphasizing continuity and the Cauchy-Schwarz inequality.
Interpolation of Lagrange: Dualité and Coupling
Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.
Tensor Products and Symmetric Power
Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.
Pseudo-Euclidean Spaces: Isometries and Bases
Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.