Quadratic form

Related lectures (32)

Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Explores integral representations, quadratic lattices, and the Hasse Principle.

Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Explores quadratic spaces, norms, and quaternion algebra over fields.

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.

Discusses isometries and orthonormal bases in mathematics.

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