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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes <noreply@example.org> Newsgroups: sci.math Subject: Re: There is a first/smallest integer (in =?iso-8859-1?Q?M=FCckenland=29?= Date: Wed, 17 Jul 2024 17:01:07 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <d9b0dacd61b979099d931df69cf76c214d690d39@i2pn2.org> References: <v78aei$1qhrg$2@dont-email.me> <iez0JhnP5QUwPTJ47oubeE1Aq5M@jntp> <v78m28$1sk3g$1@dont-email.me> <7mXj2D8kEhAscu3HLTqTUKsaj18@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Wed, 17 Jul 2024 17:01:07 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3619015"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 1869 Lines: 21 Am Wed, 17 Jul 2024 15:08:30 +0000 schrieb WM: > Le 17/07/2024 à 16:56, Moebius a écrit : >> Am 17.07.2024 um 16:43 schrieb WM: > >>> Can you explain how NUF(x) can [jump] from 0 [at x = 0] to [aleph_0] >>> [at any] >>> point x [> 0] although all unit fractions are separated by finite >>> distances [...] >> >> Yes, of course: For each and every x e IR, x > 0 there are >> countably-infinitely many unit fractions which are <= x. (Hint: No >> first one.) > > Thema verfehlt. The question is: How does NUF(x) increase from 0 to > more? There is a point where NUF is 0 and then it increases. How? The same as the sign function. There simply is no such "point", as there is no least positive number. The distances between unit fractions get infinitely small. -- Am Fri, 28 Jun 2024 16:52:17 -0500 schrieb olcott: Objectively I am a genius.