Cartesian Products and Equivalence Relations

Related lectures (28)

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Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Covers equivalence relations, functions, injectivity, surjectivity, and bijectivity with illustrative examples.

Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.

Covers sets, functions, and relations, including functions' properties and binary relations.

Explores operations on sets, Cartesian products, and functions' properties.

Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

Covers the definitions and notations related to functions.