Cartesian Product

Related lectures (27)

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Introduces Cartesian product and induction for proofs using integers and sets.

Explores the Cartesian product in linear algebra and the method of induction for proving propositions.

Covers the main rules of counting for combinatorial objects and introduces various counting techniques.

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

Covers the foundation of mathematics through set theory concepts like membership and unions.

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.

Covers propositions indexed by vectors, proof by induction, and Cartesian products of sets.