Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Tue, 10 Sep 2024 02:50:39 +0200 Organization: A noiseless patient Spider Lines: 16 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> <082b6c2dc00dca93634214390c209394f2839698@i2pn2.org> <7faf427d6171e9a4586da07795ddee138b2355b6@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 10 Sep 2024 02:50:39 +0200 (CEST) Injection-Info: dont-email.me; posting-host="f04efbf94a3a01cd7b7f06f1c9ebdc98"; logging-data="2737279"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+2wnkGQ9OkTozx1TIfpe3S" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:9mbIv6ZuH5fR+F9x8hFamnaCEPw= Content-Language: de-DE In-Reply-To: Bytes: 2538 Am 09.09.2024 um 21:57 schrieb joes: > Am Mon, 09 Sep 2024 20:44:35 +0200 schrieb WM: >> ℵo unit fractions [...] require a minimum length d. Hint@Mückenheim: No, "ℵo unit fractions" don't "require a minimum length d" - IN THE FOLLOWING SENSE: For each and every d e IR, d > 0, there are ℵo unit fractions which are in (0, d). OF COURSE, if we consider a (non empty) set of "given" unit fractions S, then the unit fractions in S "require" an interval of length d = max S - inf S.