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System Composition
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Related lectures (29)
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Operations in Z
Covers addition properties and operations in the set of integers Z.
Group Theory: Direct Sum of Abelian Groups
Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.
Order of Operations: Unnecessary Parentheses
Discusses the significance of moving parentheses before calculations and the rules for simplifying expressions and prioritizing operations.
Groups and Numbers: Mathematical Elements on Groups
Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.
Associative Operations: Tuples and Sets
Explores associative operations on tuples and sets, demonstrating their properties through various examples and proofs.
Modular Arithmetic: Introducing Z/mZ
Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.
Distributions & Interpolation Spaces
Explores convolution operators, interpolation spaces, and function convergence in different spaces.
Properties of Rational Multiplication
Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.
Integer Operations: Parentheses and Simplification
Explains the importance of parentheses in integer operations and how to simplify calculations using properties.