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Related lectures (28)
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Gram-Schmidt Algorithm
Covers the Gram-Schmidt algorithm for orthonormal bases in vector spaces.
Analytical Study of Space
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Rotation: Attitude and Orientation
Covers attitude and orientation in rotations, including small angles and orthonormal properties.
Orthogonal Families and Projections
Introduces orthogonal families, orthonormal bases, and projections in linear algebra.
Signal Representations
Covers signal representations using scaling functions and orthonormal properties.
Orthonormal Bases in Hilbert Spaces
Explores orthonormal bases in Hilbert spaces, discussing their properties and generation using the Gram-Schmidt method.
Vector Calculus: Scalars and Vectors
Introduces scalars and vectors, explaining their properties and mathematical operations.
Vector Calculus in 3D
Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Quantum Chemistry: Eigenfunctions and Hermitian Operators
Discusses eigenfunctions of Hermitian operators in quantum chemistry and the quantization of energy levels.
Approximating Functions with Polynomials
Explores approximating functions with polynomials in inner product spaces, focusing on degree 2 and cosine functions.