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Education > Math Undergrad > Re: Continuous,...
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Re: Continuous, yet not differentiable

by Barb Knox <see@[EMAIL PROTECTED] > Apr 14, 2008 at 07:03 PM

In article 
<f886122d-f072-443f-b090-174343722b5a@[EMAIL PROTECTED]
>,
 "Mr. R" <acceleratedfocus@[EMAIL PROTECTED]
> wrote:

> On Apr 13, 8:42 pm, Barb Knox <s...@[EMAIL PROTECTED]
> wrote:
> > In article
> > <69ef1078-e90f-4638-83b2-7f08d43bd...@[EMAIL PROTECTED]
>,
> >  "Mr. R" <acceleratedfo...@[EMAIL PROTECTED]
> wrote:
> >
> > > Hello all,
> >
> > > I know there are continuous functions that are not differentiable,
and
> > > am wondering a few of things.
> > > 1.  Is there a common/popular  example that is most often
referenced?
> > > If so, what is it called?
> >
> > abs(x)
> >
> > > 2.  Is there a name for this category of functions?
> >
> > You mean other than "continuous but not differentiable"?
> >
> > > 3.  Is there a process in which these scary jagged functions may be
> > > constructed?
> >
> 
> Sorry, I wasn't very clear.  I'm looking for the class of functions
> that are continuous everywhere and differentiable nowhere.
> Does this class of functions possess a name, an archetype, and a
> process of construction?

<http://www.google.com/search?q=nowhere-differentiable>

> Thanks again,

-- 
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|  BBB   a  a   r     bbb   |    Quidquid latine dictum sit,
|  B  B  a  a   r     b  b  |    altum viditur.
|  BBB    aa a  r     bbb   |   
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 4 Posts in Topic:
Continuous, yet not differentiable
"Mr. R" <acc  2008-04-13 16:45:35 
Re: Continuous, yet not differentiable
Barb Knox <see@[EMAIL   2008-04-14 12:42:31 
Re: Continuous, yet not differentiable
"Mr. R" <acc  2008-04-13 18:21:18 
Re: Continuous, yet not differentiable
Barb Knox <see@[EMAIL   2008-04-14 19:03:18 

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tan12V112 Wed Dec 3 18:19:44 CST 2008.