Lectures related to Concave function

Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.

Explores phase coexistence, gas stability, and entropy in relation to the Van der Waals equation and phase diagrams.

Covers the formation theory and coding, focusing on channel capacity and concave functions.

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Explores primal-dual optimization algorithms for convex-concave minimax problems, discussing convergence properties and applications.

Covers the properties and operations of convex functions.

Covers limits, continuity, open sets, and function extension by continuity with illustrative examples.

Covers advanced topics on the limitations of concave and convex shapes.

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Discusses the theorems on convex functions and provides examples for better understanding.

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.