Riemann Integral: Subdivisions and Volumes

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Related lectures (28)

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Restriction, Prolongement et Graphe d'une Fonction

Explains the relationship between two functions through restriction and prolongation, emphasizing the importance of defining a function by its graph.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Graphical Definition: Level Sets and Domains

Covers the graphical definition of functions, focusing on level sets and domains.

Sparsest Cut: ARV Theorem

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Mathematical Analysis: Functions and Composition

Covers the analysis of functions, composition, and mathematical induction.

Integral Calculus: Riemann Integration

Explores Riemann integration for functions of several variables, Darboux sums, and the criteria for integrability.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Optimal Transport: Cyclically Monotone Sets

Covers cyclically monotone sets in optimal transport theory and their properties.

Mapping Functions and Surjections

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Counterfactuals: SEM and D-Separation

Explores counterfactuals in SEMs and D-Separation in graphical models.