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Lecture
Functions: Injectivity and Surjectivity
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Related lectures (28)
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Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Linear Algebra: Injections, Surjections, Bijections
Explores injections, surjections, and bijections in linear algebra, highlighting their significance in mathematics.
Functions, Bijection
Explains surjectivity, injectivity, and bijectivity in functions, including trigonometric examples.
Topology: Bocage Course Notes
Explores continuity, surjectivity, and injectivity in topology functions.
Equivalence Classes and Relations
Covers equivalence classes, relations, quotient sets, and functions properties.
Operations on Sets: Parts, Intersection, and Difference
Explores operations on sets, Cartesian products, and functions' properties.
Linear Algebra: Injective Functions
Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.