Re: How many different unit fractions are lessorequal than all unit fractions?

On 9/18/2024 5:44 AM, WM wrote:

On 16.09.2024 03:16, Richard Damon wrote:

On 9/15/24 3:39 PM, WM wrote:

On 15.09.2024 18:38, Ben Bacarisse wrote:
>

It might be worth pointing out that any non-trivial interval [a, b] on
the real line (i.e. with b > a) contains an uncountable number of
points.

>
That proves that small intervals cannot be defined (they are dark). An uncountable number cannot be completed without a finite entry.

>
But arbirary small intevals CAN be defined.
>
Try to name one that can't.

 Define an interval comprising 9182024 points, starting at zero.

p0 = (0, 0)
p1 = (1, 0)
pdif = p1 - p0;
pnormal_base = 1.f / 9182024;
// add one more point to make it all the way to p1...
for (i = 0; i < 9182024 + 1; ++i)
{
    pnormal = pnormal_base * i;
    p2 = p0 + pdif * pnormal;
    plot(p2);
}
?