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Related lectures (31)
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Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Optimisation in Energy Systems
Explores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.
Stationary Points and Lagrange Multiplier Theorem
Explores stationary points and the Lagrange multiplier theorem for function optimization.
Extreme Points and Function Extrema
Explores finding extrema of functions over compact sets and edge parametrization.
Fubini Theorem on Closed Rectangles
Explores the Fubini theorem on closed rectangles in R², discussing integrability, iterated integrals, and compact sets.
Optimization with Constraints: KKT Conditions
Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.
Optimization with Inequalities
Explores optimization with inequality constraints, emphasizing finding extreme values and stationary points.
Linear Programming: Weighted Bipartite Matching
Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.
Advanced Analysis II: Review of Double Integrals
Covers a review of double integrals, emphasizing compact domains and linearity.
Constraints and Lagrange
Introduces constraints, Lagrange multipliers, and generalized coordinates in physics.