Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Sat, 7 Sep 2024 11:56:19 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <941ab7805f0db80da968b6bec605bce2853e947f@i2pn2.org> 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 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 7 Sep 2024 11:56:19 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1160898"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2789 Lines: 23 Am Sat, 07 Sep 2024 12:50:35 +0200 schrieb WM: > On 07.09.2024 11:19, Python wrote: >> Le 06/09/2024 à 22:42, Crank Wolfgang Mückenheim, aka WM a écrit : >>> 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. >> So it is another value. A value does not change. > The value is a function of x. It can change when x changes. We are getting closer to a definition, but the difference is still visible :P How much does x need to change? -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.