Lectures related to Untitled | EPFL Graph Search

Explores extreme values, constraints, Riemann's integral interpretation, and volume calculations of parallelipipeds in mathematics.

Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores extremum of a function under constraints and finding candidate points in practice.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.

Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Covers the formulation of constraint satisfaction problems and systematic algorithms for solving them efficiently.

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.

Explores stationary points and the Lagrange multiplier theorem for function optimization.

Explores finding extrema of functions over compact sets and edge parametrization.

Explores the Fubini theorem on closed rectangles in R², discussing integrability, iterated integrals, and compact sets.

Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.

Explores optimization with inequality constraints, emphasizing finding extreme values and stationary points.

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.

Covers a review of double integrals, emphasizing compact domains and linearity.

Introduces constraints, Lagrange multipliers, and generalized coordinates in physics.