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 : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 31. Oct 2024, 18:24:32
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vg0egf$2p4tv$5@dont-email.me>
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
User-Agent : Mozilla Thunderbird
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.

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?2198WM
2 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?2094Richard Damon
2 Sep 24 i`* Re: How many different unit fractions are lessorequal than all unit fractions?2093WM
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3 Sep 24 i i`* Re: How many different unit fractions are lessorequal than all unit fractions?4WM
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3 Sep 24 i `* Re: How many different unit fractions are lessorequal than all unit fractions?2087Jim Burns
3 Sep 24 i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2086WM
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6 Sep 24 i     i   i i`* Re: How many different unit fractions are lessorequal than all unit fractions?2061WM
6 Sep 24 i     i   i i `* Re: How many different unit fractions are lessorequal than all unit fractions?2060Python
6 Sep 24 i     i   i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2059WM
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7 Sep 24 i     i   i i    i`- Re: How many different unit fractions are lessorequal than all unit fractions?1joes
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7 Sep 24 i     i   i i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?54WM
7 Sep 24 i     i   i i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?53Richard Damon
7 Sep 24 i     i   i i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?52WM
7 Sep 24 i     i   i i     i   `* Re: How many different unit fractions are lessorequal than all unit fractions?51Richard Damon
8 Sep 24 i     i   i i     i    `* Re: How many different unit fractions are lessorequal than all unit fractions?50WM
8 Sep 24 i     i   i i     i     +* Re: How many different unit fractions are lessorequal than all unit fractions?21Richard Damon
9 Sep 24 i     i   i i     i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?20WM
9 Sep 24 i     i   i i     i     i +* Re: How many different unit fractions are lessorequal than all unit fractions?13Richard Damon
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