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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Sat, 7 Sep 2024 15:07:16 +0200 Organization: A noiseless patient Spider Lines: 8 Message-ID: <vbhj65$1bi3k$3@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <0da78c91e9bc2e4dc5de13bd16e4037ceb8bdfd4@i2pn2.org> <vb57lf$2vud1$1@dont-email.me> <5d8b4ac0-3060-40df-8534-3e04bb77c12d@att.net> <vb6o0r$3a4m1$2@dont-email.me> <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <vbabbm$24a94$1@solani.org> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <vbd56i$fqa0$1@dont-email.me> <vbdbq3$gdoe$2@dont-email.me> <vbes57$qdqo$2@dont-email.me> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <vbesjo$27gfe$1@solani.org> <vbf0s9$qp1j$3@dont-email.me> <vbfpf5$utdu$2@dont-email.me> <vbh5qe$19a45$1@dont-email.me> <vbhdf6$1btm1$1@dont-email.me> <vbhdsh$1btm1$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 07 Sep 2024 15:07:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8b524ad920e328c0bf9a53980d6207fa"; logging-data="1427572"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18j2+OpsD55KdYwTfyPsqVyeCCxo0asR2A=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:vzrrM3Z4ZJAeTYEfaN/Nj47bqsE= Content-Language: en-US In-Reply-To: <vbhdsh$1btm1$2@dont-email.me> Bytes: 2007 On 07.09.2024 13:36, Moebius wrote: > For all x > 0: NUF(x) = aleph_0 (no "change" at any x) Stop that nonsense. ℵo unit fractions and their distances do not fit into every interval (0, x). The distance between any pair of unit fractions is larger. Regards, WM