Lectures related to Equivalence Relations: Classes, Partitions

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.

Logical Expressions and Equivalence Relations

Covers logical expressions, sets, elements, and equivalence relations.

Binary Relations and Cartesian Products

Explores binary relations, Cartesian products, and applications between sets, emphasizing their properties and significance.

Properties of Operations: Equivalence Relations and Logic Basics

Explores properties of operations, equivalence relations, and logic basics.

Tensor Products and Symmetric Power

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Equivalence Relations and Partial Orderings

Introduces equivalence relations, partitions, partial orderings, and total ordering concepts with examples and definitions.

Equivalence Relations: Relations, Sequences and Summations

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

Equivalence Classes and Relations

Covers equivalence classes, relations, quotient sets, and functions properties.

Relations and Sequences

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

Equivalence Relations: Classes, Partitions

Explains equivalence relations, classes, and partitions in sets.

Characteristic Polynomials and Similar Matrices

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

Cartesian Product and Equivalence Classes

Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.

Functions and Periodicity

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

Group Theory: Part 2

Delves into advanced group theory concepts such as isomorphisms and homomorphisms.

Understanding Chaos in Quantum Field Theories

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

Equivalence Relations and Partitions

Discusses equivalence relations, partitions, reflexivity, symmetry, transitivity, and set cardinality.

Understanding Equivalence Relations and Integer Construction

Covers the construction of integers through equivalence relations and their properties in mathematics.