Reflexive relation

Formal sciences
Mathematics
Mathematical logic
Set theory

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Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Sets and Functions

Introduces binary relations, functions, and various types of relations in sets.

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.

Understanding Chaos in Quantum Field Theories

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

Optimization Problems: Algebra and Trinomial Equations

Explores optimization problems in algebra and trinomial equations, focusing on maximizing area with fixed perimeters.

Relations: Reflexive, Symmetric, Antisymmetric, Transitive

Explains binary relations on a set and their properties with illustrative examples.

Partial Ordering: Relations, Sequences, Summation

Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.

Linear Regression: Statistical Inference Perspective

Explores linear regression from a statistical inference perspective, covering probabilistic models, ground truth, labels, and maximum likelihood estimators.