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Lecture
Quadrature: Digital Integration
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Related lectures (29)
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Explores error analysis and limitations in interpolation on evenly distributed nodes.
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Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.
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Quadrature Formulas: Newton-Cotes, Lagrange Polynomials, Simpson Rule
Covers quadrature formulas, Lagrange polynomials, and the Simpson rule for accurate integration.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
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Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.
Splines: Least-Squares Method
Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.
Reed Solomon Codes: Basics and Applications
Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.
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Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.
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Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.
Polynomials on a Field: Basics and Operations
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Functional Equation of Zeta
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Interpolation de degré 2 par intervalles
Explores constructing a piecewise continuous function using degree 2 interpolation by intervals.
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Irreducible Polynomials: Degree and Roots
Explores irreducible polynomials, focusing on their degree and roots in different fields.
Characteristic Polynomials and Similar Matrices
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