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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <0Y68J8rWIlqhjSbYV3H8smphTUg@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <d8bbe664-a601-4590-9a7f-d5312b4dae54@att.net> <F6pqEi9Vg1YMcYTcIPQNs6NU_vI@jntp> <4f606ef2-ef6c-487b-b959-d109e374929f@att.net> <vpb42BOZYYy79eBYzCXpUbsjGQc@jntp> <f5086d19-ab91-429a-9dfe-2325e56c97a4@att.net> <6WIT-GYNvuMQ6ADdNvBdVKBkQ1c@jntp> <14c93f38-c155-44fe-a6ba-d0f143b374cc@att.net> <X_M4Fh6ty-vEi1nwWkFJ9udvMEg@jntp> <b27e0f43-9dfd-4bfb-a407-12c9d23e6d8f@att.net> Newsgroups: sci.logic,sci.math JNTP-HashClient: uSKIyVnVJT9mi8SIZGM_wmHj604 JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=0Y68J8rWIlqhjSbYV3H8smphTUg@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Tue, 06 Aug 24 08:26:14 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/127.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-08-06T08:26:14Z/8977348"; 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 <wolfgang.mueckenheim@tha.de> Bytes: 1978 Lines: 18 Le 06/08/2024 à 00:19, Jim Burns a écrit : > On 8/5/2024 3:04 PM, WM wrote: > NUF(1) = ℵ₀ > NUF(x) = ℵ₀ NUF(x) gives the number of unit fractions smaller than x. > Following unreadable symbols. > > For each x > 0 > ⅟ℕᵈᵉᶠ∩(0,x) is not finite. For NUF(x) = 3 ⅟ℕᵈᵉᶠ∩(0,x) is finite, namely 3. Regards, WM