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: Fri, 6 Sep 2024 22:42:14 +0200 Organization: A noiseless patient Spider Lines: 17 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: Fri, 06 Sep 2024 22:42:14 +0200 (CEST) Injection-Info: dont-email.me; posting-host="37eea6df7cd50e75c32a35553828111c"; logging-data="1013182"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+MUyNHq7qf7p7YVSXBT2u2eYlIJ+IVcM0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:QwUsLn+i3ohfxI7V5IJI8nnPIVc= Content-Language: en-US In-Reply-To: Bytes: 2270 On 06.09.2024 15:42, Python wrote: > Le 06/09/2024 à 14:29, Crank Wolfgang Mückenheim, aka WM a écrit : >> On 06.09.2024 14:26, joes wrote: >>> Am Fri, 06 Sep 2024 14:22:00 +0200 schrieb WM: >> >>>> Example: The function f(x) = [x] increases at every x ∈ ℕ by 1. >>>> The function NUF(x) increases at every x = unit fraction 1/n by 1. It >>>> does not increase at 0 because 0 is not a unit fraction. >>> What exactly happens at those points? >> >> The simplest action possible in mathematics: f --> f + 1 > > What you wrote above is a function associating a function to a function. No it is a value changing to this value + 1. Regards, WM