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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 7 Sep 2024 11:56:19 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <941ab7805f0db80da968b6bec605bce2853e947f@i2pn2.org>
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Am Sat, 07 Sep 2024 12:50:35 +0200 schrieb WM:
> On 07.09.2024 11:19, Python wrote:
>> 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.
> The value is a function of x. It can change when x changes.
We are getting closer to a definition, but the difference is still
visible :P How much does x need to change?

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.