Lectures related to Congruence relation

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

Explores vector valued functions, their representations, uniqueness, and congruence subgroups.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Covers binary operations, including addition and multiplication of integers represented in binary form.

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

Explores the principal congruence subgroup of level 2 and its group structure.

Covers congruence modulo m and arithmetic operations.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

Explains congruence modulo m and its applications in arithmetic operations.

Explores the classification of states in Markov chains, emphasizing equivalence classes and periodicity.

Explores modular arithmetic and its role in the RSA cryptosystem for error detection.

Introduces number theory and its essential applications in cryptography.

Covers the definition and operations involving rational numbers.

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.

Covers the concept of quotient space by a relation and its applications.

Introduces modulo arithmetic, Euclid's algorithm, and congruence in number theory.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

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

Explores modulo arithmetic rules and check digits for data accuracy.