Relations: Definitions and Properties

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Related lectures (29)

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Understanding Chaos in Quantum Field Theories

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Differential Equations: Mathematical Complements

Covers the definition of differential equations and their relation to functions and derivatives.

Surfaces: The Torus

Explores the definition of surfaces, focusing on the torus and its construction through various examples and morphic images.

Graph and Diagonal

Discusses the graph of a relation and the concept of separation.

Relations: Sets, Functions and Composition

Covers binary relations, functions, set operations, composition, and n-ary relations.

Relations and Sequences

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Relations: Sets, Functions and Composition

Covers binary relations, functions, composition, and n-ary relations with examples.

Equivalence Relations: Relations, Sequences and Summations

Explores equivalence relations, functions, subsets, and De Morgan's laws.