Cubic function

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Related lectures (12)

Geometric Constructions: Duplication of the Cube

Explores the historical significance and geometric methods for duplicating the cube.

Simpson's Rule

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Taylor Series and Function Analysis

Explores Taylor series, function properties, inflection points, and critical points in graphical and mathematical contexts.

Mixing Models: Quadratic & Cubic, Constraints, Transformations

Explores quadratic and cubic models, constraints, transformations, and representations in mixing models.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Taylor Polynomials: Special Cases

Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Geometric Operations: Inversion & Orthogonal Circles

Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.

Taylor's Formula: Convexity, Inflection Points

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

Advanced Analysis: Differential Equations Overview

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Spatial Response and Convolution

Covers the spatial response of systems, including the calculation of the center of mass and convolution.

Equality and Inequality Constraints: Optimization Conditions

Covers necessary optimality conditions for optimization with constraints and discusses cones and polar sets.

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