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Is there a continuous function on $f:\mathbb{R} \rightarrow \mathbb{R}$ with uncountably infinite turning points?

Mar 30, 2011 at 15:47

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Is there a continuous function on $f:\mathbb{R} \rightarrow \mathbb{R}$ with uncountably infinite turning points?

Thanks, I will check that out. I realized this when I defined turning points more precisely. Thanks for helping despite the problem not being quite up to scratch!

Mar 30, 2011 at 12:43

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Is there a continuous function on $f:\mathbb{R} \rightarrow \mathbb{R}$ with uncountably infinite turning points?

sorry again, I fixed that up when I re-read it. I wrote it in a hurry and didn't write what I was thinking. The function is on $\mathbb{R}$

Mar 30, 2011 at 12:26

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Is there a continuous function on $f:\mathbb{R} \rightarrow \mathbb{R}$ with uncountably infinite turning points?

Sorry for being so late to edit and for being vague, I think the definition of turning point I use above makes it impossible.

Mar 30, 2011 at 12:20

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Is there a continuous function on $f:\mathbb{R} \rightarrow \mathbb{R}$ with uncountably infinite turning points?

added 332 characters in body; added 20 characters in body; edited title

Mar 30, 2011 at 12:19

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Is there a continuous function on $f:\mathbb{R} \rightarrow \mathbb{R}$ with uncountably infinite turning points?

Mar 30, 2011 at 5:07

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Mar 28, 2011 at 14:50

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Mar 26, 2011 at 12:20

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Mar 26, 2011 at 11:20

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algebraic proof of an infinite sum

Mar 26, 2011 at 11:19

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Mar 26, 2011 at 11:05

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algebraic proof of an infinite sum

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Mar 26, 2011 at 10:53

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algebraic proof of an infinite sum

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