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Related lectures (30)

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Groups and Numbers: Mathematical Elements on Groups

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Set Union: Properties and Operations

Explains the union of sets, its properties, operations, and intersection.

Mathematical Recursion: Induction and Recursion

Explains mathematical induction for proving propositions true for all positive integers.

Symmetries in Physics

Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.

Natural Transformations Composition

Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.

Associative Operations: Fundamentals

Covers associative and commutative operations in parallel programming, using mathematical examples and discussing challenges in preserving associativity.

Lie Algebra: Group Theory

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Recurrence Demonstrations: Principle and Examples

Covers the principle of recurrence demonstrations with examples illustrating the process step by step.

Q is a Field

Covers the properties of rational numbers and introduces the concept of an ordered field in Q.