One to One Function | Injective Function | Discrete Mathematics

In this video, we explore the fascinating concept of one-to-one functions, also known as injective functions, and dive into their properties, applications, and implications.
A function f: A → B is said to be one-to-one if for every pair of distinct elements a and b in the domain A, their corresponding function values f(a) and f(b) in the codomain B are also distinct. In other words, each element in the domain maps to a unique element in the codomain, and no two different elements in the domain map to the same element in the codomain.
Throughout the video, we illustrate one-to-one functions using examples and visual representations. We discuss their significance in various applications, such as data compression, encryption, and set theory. We highlight the unique property of one-to-one functions that allows for a one-to-one correspondence between the domain and the range.

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