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Operator associativity
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Abstract Concepts: Semi-Ring
Explores the concept of a commutative semi-ring based on set theory properties.
Natural Transformations Composition
Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.
Natural Numbers
Covers the concept of natural numbers, including properties like commutativity and associativity.
Natural Numbers: Properties and Operations
Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.
Subtraction: Properties and Definitions
Covers the properties and definitions of subtraction using addition and multiplication as a basis.
Group Theory: Definitions and Properties
Introduces group theory concepts, including definitions and properties of groups, rings, and fields.
Operations in Z
Covers addition properties and operations in the set of integers Z.
Operations Priority: Simplification Rules
Focuses on simplifying expressions by rearranging parentheses and applying operation priority rules.
Composition of Functions
Explores the composition of functions, defining new functions by combining existing ones and showcasing the associative property of function composition.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.