Interlacing Polynomials

Related lectures (31)

Page 3 of 4

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Explores linear transformations, matrices, kernels, and images in algebra.

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Explores linear independence, bases, and dimension in vector spaces with examples involving matrices and polynomials.

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

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

Explores digital derivation, function evaluation, and polynomial approximations for accurate measurements and evaluations.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.