Re: Replacement of Cardinality

Am 17.08.2024 um 23:44 schrieb Jim Burns:

On 8/17/2024 9:36 AM, WM wrote:

NUF(x) at no point grows by more than 1.

NUF does not "grow" anywhere, Du dummer Spinner.
It "jumps at 0".

But NUF(x) grows.

Nein, it does not grow (in the usual sense of the word).

At 0.

Nope. At x = 0 NUF(x) has the value 0. No "growth" at all.
Though there is a "jump at 0".
See: https://en.wikipedia.org/wiki/Classification_of_discontinuities#Jump_discontinuity
and: https://cglab.ca/~discmath/growth-of-functions.html