Gröbner basis

Related lectures (30)

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Explores molecular vibrations, normal modes, IR & Raman activity, and symmetry analysis.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Explains linear independence, basis, and matrix rank with examples and exercises.

Explores the Hartree-Fock method, basis sets, Slater determinants, and quantum chemistry concepts like spin contamination and Hund's rule.

Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.

Explores Bézout's theorem and Cayley-Bacharach, discussing intersection multiplicities and linear combinations in projective geometry.

Explores change of basis matrices in linear algebra, emphasizing the importance of understanding matrix transformations between different bases.

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.

Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.