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Related lectures (32)
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Interpolation of Lagrange: Dualité and Coupling
Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.
Finite Element Method: 2D Analysis
Explores the finite element method for 2D analysis, covering assembly, matrices, sources, and convergence criteria of quadrangular elements.
Finite Elements Method: Application Example 2D
Explores the application of finite elements method in 2D temperature distribution on a square plate.
Scalar Product: Algebraic Properties
Explores the algebraic properties of the scalar product and their geometric implications.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Lax-Milgram: Variational Problems and Riesz's Theorem
Explores the Lax-Milgram theorem, variational problems, and Riesz's representation theorem in linear elliptic problems.
Pseudo-Euclidean Spaces: Isometries and Bases
Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.
Lie Algebra: Vector Space and Multiplication Law
Covers Lie Algebra, focusing on vector space and multiplication law.
Lie Algebra: Bilinearity and Jacobi Identity
Covers Lie algebra, bilinearity, Jacobi identity, and Ado's theorem.
Norm, Dot Product, Orthogonality
Explores norm, dot product, and orthogonality in vector spaces, including properties and inequalities.
