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Group Theory BasicsIntroduces the basics of group theory, including operations, properties, and Lie groups.
Associative Operations: FundamentalsCovers associative and commutative operations in parallel programming, using mathematical examples and discussing challenges in preserving associativity.
Fold Reduce OperationsExplores fold (reduce) operations in parallel programming using Scala, covering associative operations, expression trees, parallel reduction, and array reduction.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Operations in ZCovers addition properties and operations in the set of integers Z.
Natural NumbersCovers the concept of natural numbers, including properties like commutativity and associativity.
Group Theory: BasicsCovers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Symmetries in PhysicsExplores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.