Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM 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: References: <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <035b16b56a204dfe5e561b3cfe03238167dba39a@i2pn2.org> <0f960a6d89127e17b7915e661a723ce761169465@i2pn2.org> <36ce9d211243c87a274831fbd62f1f55dbcb58cf@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: 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