Uniform Continuity

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration illustrates a theorem of analysis: a function that is continuous on the closed interval is uniformly continuous on the interval.

[more]

A function is continuous if, for each point and each positive number , there is a positive number such that whenever , . A function is uniformly continuous if, for each positive number , there is a positive number such that for all , whenever, . In the first case depends on both and ; in the second, depends only on .

[less]

Contributed by: Izidor Hafner (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send