Orthogonal polynomials

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Related lectures (30)

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Polynomials: Operations and Properties

Explores polynomial operations, properties, and subspaces in vector spaces.

Complex Polynomials and Factorization

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Complex Roots: Conjugate Pairs and Quadratic Equations

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

Multilinear Regression: Design Optimization

Explores multilinear regression, design optimization, ANOVA, model fit, and experimental design.

Polynomials: Theory and Applications

Covers the theory of polynomials, including definitions, properties, and applications.

Analyse 2: Division euclidienne

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

General case of degree two polynomials

Explores Viète's formula for finding roots of degree two polynomials and their significance.

Bezier Curves: Control Points and Regularity

Explores Bezier curves, emphasizing control points and curve regularity.

Constraints, Power, Work, and Kinetic Energy

Explores constraints, power, work, and kinetic energy, including oscillation periods, elliptic integrals, Legendre polynomials, and their applications.

Orthogonal Polynomials in Physics

Covers important orthogonal polynomials in physics used to represent angular and radial dependencies in fields and quantum systems.