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Lecture
Operations in Z
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Related lectures (30)
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Order of Operations: Unnecessary Parentheses
Discusses the significance of moving parentheses before calculations and the rules for simplifying expressions and prioritizing operations.
Modular Arithmetic: Introducing Z/mZ
Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.
Group Theory: Basics
Covers the basics of group theory, including definitions, examples, and isometries.
Natural Numbers
Covers the concept of natural numbers, including properties like commutativity and associativity.
Multiplication: Properties and Definitions
Explains the definition and properties of integer multiplication in various scenarios.
Associative Operations: Fundamentals
Covers associative and commutative operations in parallel programming, using mathematical examples and discussing challenges in preserving associativity.
Properties of Rational Multiplication
Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.
Cohomology Real Projective Space
Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.
Elliptic Curves: Group Structure and Isomorphism
Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.
Polynomials and Endomorphisms
Covers the properties of rings, examples of rings, and polynomials.