Equivalence Relations and Construction of R

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Explores sets and subsets in linear algebra, emphasizing counting elements and subsets.

Explores independence in infinite coin tosses, covering sets, shifts, and T-invariance.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Covers the basic concepts of sets, functions, and number systems.

Explains group representation, character, and theory, emphasizing orthogonality and equivalence.

Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.

Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.

Covers the definition of applications, image of elements, and direct and reciprocal images.

Covers basic notations related to sets and subsets, including elements and subsets.