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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!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: Newsgroups: sci.logic,sci.math JNTP-HashClient: WgmZmRtRxbNQCds9zweop-aGjZY JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=GknMvtkLnWBwOVHuwhpOvuPVwIg@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Tue, 27 Aug 24 19:57:39 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/128.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-08-27T19:57:39Z/9002870"; 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: 2098 Lines: 14 Le 27/08/2024 à 21:31, Moebius a écrit : >>>> On 8/25/2024 3:45 PM, WM wrote: >>> >>>>> This function exists because >>>>> nothing contradicts its existence. > > Right. But the values of the function NUF are: > > 0 for all real arguments <= 0 and aleph_0 for all real arguments > 0. Correction: For all ends of real intervals containing ℵo unit fractions. The interval (0, x) cannot contain ℵo unit fractions unless x is sufficiently large. Regards, WM