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

Am 18.09.2024 um 21:35 schrieb Chris M. Thomasson:

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

Define an interval comprising [exactly] 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...

No good idea, since in this case your program will deliver 9182024 + 1 points, right?

for (i = 0; i < 9182024 + 1; ++i)
{
    pnormal = pnormal_base * i;
    p2 = p0 + pdif * pnormal;
    plot(p2);
}
 ?

Nope. The (real) interval [0, 1] consists of more points than just 9182024 (or 9182024 +1).
Actually, of (uncountably) infinitely many points.
Hint: WM -this fucking asshole full of shit- is always talking nonsense.