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Concept

Binary relation

Related lectures (31)

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.

Relations: Reflexive, Symmetric, Antisymmetric, Transitive

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

Relations: Definitions and Properties

Explains binary relations, reflexive, symmetric, antisymmetric, and transitive relations on a set.

Graph and Diagonal

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

Surfaces: The Torus

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

Total Order Relation: Properties of Real Numbers

Covers the concept of total order relation and properties of real numbers.

Consequences of TBS

Explores the consequences of the Total Bell System (TBS) in a commutative body.

Relations: Sets, Functions and Composition

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

Relations, Sequences, Summation: Summary of Week 5

Explores binary relations, sequences, and summation, including arithmetic and geometric progressions, recurrence relations, and cardinality of sets.

Relations: Sets, Functions and Composition

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

Optimization Problems: Algebra and Trinomial Equations

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

Introduction to Category Theory: Examples

Introduces the theory of categories through examples and discusses the product of categories.

Linear Regression: Statistical Inference Perspective

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

Homotopy: Fundamentals and Examples

Covers the fundamentals of homotopy and its applications in topology.

Limit of a Sequence

Explores the limit of a sequence, convergence conditions, algebraic operations, and order relations.

Space Identification: SO(3)

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Belief Propagation: Key Methods and Analysis

Covers Belief Propagation, a key method for both analysis and algorithm.

Force-extension relation of a polymer

Explores the force-extension relation of polymers through experiments and models.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.