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Symmetric bilinear form
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Related lectures (32)
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Quadratic Forms and Symmetric Bilinear Forms
Explores quadratic forms, symmetric bilinear forms, and their properties.
Weingarten Application of Regular Surfaces
Covers the application of the Weingarten map on regular surfaces and the shape operator.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Tensor Product: Bilinear Maps
Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Abstract Variational Problems
Covers abstract variational problems in Hilbert spaces, focusing on boundedness, continuity, and coercivity.
Finite Element Method: 2D Analysis
Explores the finite element method for 2D analysis, covering assembly, matrices, sources, and convergence criteria of quadrangular elements.
Bilinear Forms: Theory and Applications
Covers the theory and applications of bilinear forms in various mathematical contexts.
Finite Elements Method: Application Example 2D
Explores the application of finite elements method in 2D temperature distribution on a square plate.
Lax-Milgram: Variational Problems and Riesz's Theorem
Explores the Lax-Milgram theorem, variational problems, and Riesz's representation theorem in linear elliptic problems.