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: Sat, 7 Sep 2024 14:04:00 +0200 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <0da78c91e9bc2e4dc5de13bd16e4037ceb8bdfd4@i2pn2.org> <5d8b4ac0-3060-40df-8534-3e04bb77c12d@att.net> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 07 Sep 2024 14:04:01 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8b524ad920e328c0bf9a53980d6207fa"; logging-data="1427573"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19FPqTlQl5Q35NhzAIhC1ZuHvaRiPYecN4=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:fA2ZSSIt/0R9Y+yrl2be28L0Cmg= In-Reply-To: Content-Language: en-US Bytes: 2218 On 07.09.2024 13:29, Moebius wrote: > Am 07.09.2024 um 11:19 schrieb Python: >> Le 06/09/2024 à 22:42, Crank Wolfgang Mückenheim, aka WM a écrit : > >>> [...] it is a value changing to this value + 1. > > Where exactly does it "chance"? It, NUF(x), changes at every x = 1/n for n ∈ ℕ. NUF(x) changes by 1 because a change by more at any x would count more different unit fractions 1/n, 1/m, 1/k, ... which are identical because they are the same x = 1/n = 1/m = 1/k = ... . Regards, WM