Re: Set of functions


"Jon Slaughter" <Jon_Slaughter@xxxxxxxxxxx> wrote in message news:11g9r1p9fng89c8@xxxxxxxxxxxxxxxxxxxxx
>
> Lets suppose I have the set
>
> S = {f(x) | int(f(x),x=0..a) = A, f(x) is continuous and bounded}
>
> is there a way to randomly pick(generate) a function from S?
>
> Jon

How would you describe that continuous function?
Do you realize that hardly any continuous function (even if
the number of them is infinite), can be "written down"?

You could generate a random step function over the interval
without a problem, and use as many steps as you like. That
would be "writable down".

Dirk Vdm


.

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