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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: Mon, 9 Sep 2024 17:19:37 +0200 Organization: A noiseless patient Spider Lines: 19 Message-ID: <vbn3m9$2em18$5@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <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> <vbhffg$1bi3l$3@dont-email.me> <035b16b56a204dfe5e561b3cfe03238167dba39a@i2pn2.org> <vbhiv7$1bi3k$1@dont-email.me> <f26ebc80f80e98cdf0195ff811e1e4702fd8b00e@i2pn2.org> <vbhld4$1bi3l$10@dont-email.me> <0f960a6d89127e17b7915e661a723ce761169465@i2pn2.org> <vbkvao$20uoi$5@dont-email.me> <36ce9d211243c87a274831fbd62f1f55dbcb58cf@i2pn2.org> <vbmiqr$2ce0a$5@dont-email.me> <a105abe6c52cef1404a40c5f386a3278c7c31187@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 09 Sep 2024 17:19:37 +0200 (CEST) Injection-Info: dont-email.me; posting-host="cd14fc04a24dd051d3dbc2b7b6e5cc4c"; logging-data="2578472"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1//EaLFd/FWG4hg/LvUaQuY6BjcOosfVBM=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:aGFuZ6CPgEkWmimtu76rqYR1E+4= Content-Language: en-US In-Reply-To: <a105abe6c52cef1404a40c5f386a3278c7c31187@i2pn2.org> Bytes: 2580 On 09.09.2024 13:51, joes wrote: > Am Mon, 09 Sep 2024 12:31:55 +0200 schrieb WM: >> Al gaps are occupied by the unit fractions. Hence every gap is too >> small. > In which sense are the gaps „occupied”? ℵo unit fractions cover a distance d which is the sum of the gaps between them. > >> First you claim the unit fractions with their gaps. Then I choose >> one of them, irrelevant which one. Each one is smaller than all. > Each gap is smaller than all gaps? The sum of all gaps is larger than one of them. Regards, WM