In article
<69ef1078-e90f-4638-83b2-7f08d43bd8a7@[EMAIL PROTECTED]
>,
"Mr. R" <acceleratedfocus@[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?
If you're referring to piecewise-linear functions like abs, the usual
way to define them is to give the appropriate linear function for each
piece. E.g., abs would be:
abs(x) = { -x, if x<=0
{ x, if x>=0
> Cheers,
> and Thanks,
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