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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