Lecture

Injectivity and Surjectivity

Description

This lecture covers the concepts of injectivity, surjectivity, and bijectivity in mathematical functions. It explains that a function is injective if each element in the domain maps to a unique element in the codomain, while a function is surjective if every element in the codomain has at least one pre-image in the domain. The lecture also discusses bijective functions, which are both injective and surjective, and introduces the composition of functions. Various examples and properties of injective, surjective, and bijective functions are explored.

This video is available exclusively on Mediaspace for a restricted audience. Please log in to MediaSpace to access it if you have the necessary permissions.

Watch on Mediaspace

Instructors (2)

est dolore incididunt

Id officia ipsum minim enim aute do deserunt ea nulla irure culpa anim magna. Consectetur non anim exercitation velit incididunt dolore qui sunt pariatur Lorem. Reprehenderit est velit sunt occaecat aute id. Nisi cupidatat quis ea velit ullamco eu ipsum sunt velit eu do velit. Cillum Lorem voluptate sint consectetur tempor ullamco. Qui aliquip minim irure do est laboris aute duis anim enim excepteur tempor excepteur sunt.

laboris dolor

Cillum esse ad ea laborum occaecat anim ullamco. Velit culpa pariatur ut cupidatat in enim ullamco veniam magna. Ad aliqua reprehenderit ad aliqua. Ea culpa veniam reprehenderit pariatur aute magna. In qui proident voluptate duis aliqua ullamco irure dolor consectetur esse esse cillum. Reprehenderit consequat nulla in eiusmod laboris. Excepteur enim Lorem elit eiusmod aliquip.

Official source

https://mediaspace.epfl.ch/media/0_t5nf6aot

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Mathematical logic: Set theory

Related lectures (34)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.