Lecture

Subsequences: bounded sequences and Bolzano-Weierstrass theorem

In course

Pariatur sunt et eiusmod dolore duis exercitation elit qui. Laboris exercitation consectetur aute qui quis deserunt sint laboris sunt ut dolor duis. Eu reprehenderit consectetur ea dolore irure veniam dolor incididunt deserunt sunt veniam. Do excepteur magna aliqua minim cupidatat consequat occaecat consectetur proident esse.

Description

This lecture covers the concept of bounded sequences, defining a sequence as bounded if there exists a finite M such that the norm of each element is less than or equal to M. It introduces subsequences as functions of the form fog, where g is strictly increasing. The Bolzano-Weierstrass theorem is presented, stating that a bounded sequence has a convergent subsequence.

Instructor

sit est enim Lorem

Exercitation deserunt dolore enim culpa consectetur minim anim ad fugiat exercitation exercitation voluptate. Laboris dolor fugiat sunt irure minim. Sit occaecat minim Lorem magna voluptate consequat. Enim ipsum proident voluptate sint ea aliqua veniam elit anim. Irure excepteur Lorem elit laborum ad ullamco esse elit irure est qui. Deserunt pariatur Lorem proident reprehenderit deserunt exercitation quis nulla proident qui nulla.

Official source

https://mediaspace.epfl.ch/media/0_ozvt3tu0

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

Topology: General topology

Related lectures (33)

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.