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

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.math
Date : 01. Nov 2024, 00:43:18
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <323121358d4a388923fd64bbca0e910545e776eb@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
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On 10/31/24 1:24 PM, WM wrote:
On 31.10.2024 17:02, FromTheRafters wrote:
WM explained :
On 31.10.2024 12:00, FromTheRafters wrote:
>
Failure to recognize that discontinuity is mathematical noted.
>
False. NUF(x) can only increase at unit fractions. They cause no larger discontinuity than 1.
>
Wrong, your function, if swept as you seem to require, jumps from zero to countable infinity and stays there.
 It cannot jump to countable infinity at a single point because in a single point only one unit fraction exists. I investigate its behaviour at single points.
But it doesn't, and that is because point are not "adjacent", so you can't talk about changing in moving from one point to the "next" one.

 
Why do you call 1 a discontinuity?
 The increase from n to n+1 at one point is a discontinuity.
 Regards, WM
 

Date Sujet#  Auteur
2 Sep 24 * How many different unit fractions are lessorequal than all unit fractions?2203WM
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