Convexity Study and Limiting Developments

Related lectures (30)

Introduces Taylor polynomials for function approximation, starting with linear and quadratic forms and then generalizing to higher orders.

Explores Taylor's formula, uniqueness of Taylor series, Mean Value Theorem, inflection points, and convexity.

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

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

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

Covers the basics of polynomials, focusing on rings, operations, and properties.

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

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

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.

Covers Taylor polynomials and their role in approximating functions in multiple variables.

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