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Related lectures (28)

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Duality, Constraint relaxation

Explores duality and constraint relaxation in optimization problems with practical examples.

Primes in Arithmetic Progression

Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.

Regular Implicit Functions

Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.

Shor's algorithm: factoring integers

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Duality: Economic Interpretation

Explores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.

Mathematical Parenthesis on Groups and Lagrange Theorem

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Linear Programming: Two-phase Simplex Algorithm

Covers the application of the two-phase Simplex algorithm to solve linear programming problems.

Similarity of Convex Bodies

Explores the similarity of convex bodies, affine transformations, the Johen's Theover theorem, and KKT conditions.

Duality Theorems

Explores duality theorems in linear programming, emphasizing optimal solutions and degeneracies.

Closure Conversion: Representation and Transformation

Explores the representation and transformation of values, focusing on closure conversion and the challenges of representing functions in functional languages.