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Andy
Frequent VisitorJoined: 28 Oct 2003Posts: 459
Location: Hong Kong
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Posted: Fri Mar 04, 2005 5:47 pm Post subject: Restriction of continuous function
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Let be a function. Given that when f is restricted on a straight line in , the restricted function is continuous on the line. Is f a continuous function on ?_________________
Patience and tolerance are necessarily demanded Year-round.
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Alex
Frequent VisitorJoined: 03 Nov 2003Posts: 33
Location: CUHK
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Posted: Sun Mar 06, 2005 3:56 pm Post subject:
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Not necessarily. Consider the following example:
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