Concave function

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Explores convex functions, affine transformations, pointwise maximum, minimization, Schur's Lemma, and relative entropy in mathematical optimization.

Explores the Box-Cox transform for modeling non-linear relationships between variables.

Covers the physics of a toboggan jump, analyzing forces, speeds, and motion equations.

Explores the Box-Cox transform for investigating nonlinear specifications in models using a parameter lambda.

Covers the Mean Value Theorem, l'Hopital rule, Taylor's approximation, and more.

Explores the construction of the Lebesgue function on the Cantor set and its unique properties.

Covers Taylor approximation, convex functions, and integrable properties.

Explores channel capacity and convex functions in information theory, emphasizing the importance of convexity.

Covers geodesically convex optimization on Riemannian manifolds, exploring convexity properties and minimization relationships.

Covers the formulation of optimization programs for minimizing piecewise linear cost functions.