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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!feeds.phibee-telecom.net!2.eu.feeder.erje.net!feeder.erje.net!newsfeed.bofh.team!news.nntp4.net!pasdenom.info!from-devjntp Message-ID: <7mXj2D8kEhAscu3HLTqTUKsaj18@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: There is a first/smallest integer (in =?UTF-8?Q?M=C3=BCckenland=29?= References: Newsgroups: sci.math JNTP-HashClient: jn6JIjv10XeKWf8EjBVSrZ1TINU JNTP-ThreadID: v78aei$1qhrg$2@dont-email.me JNTP-Uri: http://news2.nemoweb.net/?DataID=7mXj2D8kEhAscu3HLTqTUKsaj18@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Wed, 17 Jul 24 15:08:30 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-07-17T15:08:30Z/8952484"; posting-account="217@news2.nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: WM Bytes: 1992 Lines: 18 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.) > > Not that hard, is it? Thema verfehlt. The question is: How does NUF(x) increase from 0 to more? You know? There is a point where NUF is 0 and then it increases. How? Regards, WM