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

Le 06/09/2024 à 22:42, Crank Wolfgang Mückenheim, aka WM a écrit :

On 06.09.2024 15:42, Python wrote:

Le 06/09/2024 à 14:29, Crank Wolfgang Mückenheim, aka WM a écrit :

On 06.09.2024 14:26, joes wrote:

Am Fri, 06 Sep 2024 14:22:00 +0200 schrieb WM:

>

Example: The function f(x) = [x] increases at every x ∈ ℕ by 1.
The function NUF(x) increases at every x = unit fraction 1/n by 1. It
does not increase at 0 because 0 is not a unit fraction.

What exactly happens at those points?

>
The simplest action possible in mathematics: f --> f + 1

>
What you wrote above is a function associating a function to a function.

 No it is a value changing to this value + 1.

So it is another value. A value does not change.
Meanwhile you are still unable to provide a sound algebraic definition
of "increasing at a point" for a function.