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Related lectures (31)
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Vector Spaces and Topology
Covers normed vector spaces, topology in R^n, and the principle of drawers as a demonstration method.
Orthogonality and Scalar Product
Explores orthogonality, scalar product, and orthonormal bases in vector spaces.
Complex Numbers: Operations and Properties
Explores complex numbers, including modulus, conjugation, and Euler formula.
Regular Curves: Parametrization and Tangent Vectors
Explores regular curves, examples like segments and functions, and curvilinear integrals along regular curves.
Measure Spaces: Integration and Inequalities
Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.
Optimal Transport: Regularity and Brenier's Theorem
Explores optimal transport regularity and Brenier's theorem, discussing continuity and convexity concepts.
Absolute Value: Definition and Properties
Covers the definition and basic properties of the absolute value function for real numbers.
Convex Optimization: Generalized Inequalities
Explores problems with generalized inequalities in convex optimization and the equivalence between SOCP and SDP.
Vector Geometry: Basics and Applications
Explores vector geometry basics, historical perspectives, and practical applications.
Absolute Value and Intervals
Introduces absolute value, intervals, triangle inequality, and complete numbers in the complex plane.
Subgradients and Convex Functions
Explores subgradients in convex functions, emphasizing non-differentiable yet convex scenarios and properties of subdifferentials.
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