Quadratic residue

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Related lectures (31)

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Finite Element Method: Quadratic Elements

Explores the precision of finite element models and higher order asymptotic estimates.

Finite Element Method: Higher Order Models

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Optimality Conditions: Quadratic Functions

Covers the formulation of quadratic functions and optimality conditions for finding the global optimum.

Fourier Analysis: Inversion Formula

Explores the Fourier inversion formula and the importance of the integral on the half-circle being zero for the method to work.

Complex Analysis: Laurent Series and Residue Theorem

Discusses Laurent series and the residue theorem in complex analysis, focusing on singularities and their applications in evaluating complex integrals.

Optimization methods

Covers optimization methods, focusing on gradient methods and line search techniques.

Integer Factorization: Quadratic Sieve

Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.

Residue Theorem: Applications in Complex Analysis

Discusses the residue theorem and its applications in calculating complex integrals.

Residue Theorem: Applications in Complex Analysis

Discusses the residue theorem and its applications in complex analysis, including integral calculations and Laurent series.

Analyse IV: Laurent Series and Singularities

Covers Laurent series, singularities, and meromorphic functions, addressing convergence, holomorphicity, and residue theorem applications.