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From: Python <python@invalid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 6 Sep 2024 15:42:33 +0200
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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.

For instance [f -> f + 1](sin) = [x -> sin(x) + 1]

Definitely NOT what you intended. Try to write what you mean in proper
algebra (Hint: you'll notice you can't).