Bijection

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Related lectures (30)

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Applications between Sets: Functions and Graphs

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

Linear Applications: Definitions and Properties

Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.

Two Definitions of Group Action

Explores two definitions of group action and their equivalence through bijection in group homomorphisms.

Galois Correspondence

Covers the Galois correspondence, establishing a bijection between certain classes of groups and coverings.

Advanced Analysis II: Spherical Coordinates

Covers spherical coordinates transformation, bijectivity, and applications in volume calculations.

Bijective Functions

Introduces bijective functions, which are both injective and surjective, emphasizing one-to-one correspondence between domain and codomain.

Linear Algebra: Applications and Examples

Explores applications and examples of linear algebra, including unique images and constant replication.

Change of Coordinates: Analysis Week 8

Explores changing coordinates, bijective functions, Jacobian matrices, and reciprocal functions in analysis.

Exponential Function: Properties and Definitions

Explores the properties and definitions of the exponential function and its relation to the natural logarithm.

Linear Algebra: Properties of Injective and Surjective Functions

Covers the properties of injective and surjective functions and the concept of bijections.