Quadratic function

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Related lectures (31)

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Polynomials with Real Coefficients

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Strong Convexity and Convergence Rates

Explores strong convexity's role in faster convergence rates for optimization algorithms.

Decomposition: Simple and Quadratic Factors

Explores the decomposition of a function into simple and quadratic factors.

Complex Eigenvalues Appendix

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

Complex Numbers and 2x2 Matrices

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

Mechanical Energy Conservation

Explores mechanical energy conservation, potential and kinetic energy relationship, laws of motion, and harmonic oscillator.

Symmetric Matrices and Quadratic Forms

Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.

Equidistribution of CM Points

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

Polynomial Optimization: Theory and Applications

Explores polynomial optimization, emphasizing sum-of-squares polynomials and their applications, including monomial representation and theorem proofs.

Completing the Square in Quadratic Polynomials

Demonstrates completing the square in quadratic polynomials for factorization simplification.