Path: ...!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.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 14:29:44 +0200 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, 6 Sep 2024 12:29:44 -0000 (UTC) Injection-Info: solani.org; logging-data="2343406"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:kX1sBXhJ7GX1yONQfjq+6MftJH8= Content-Language: en-US In-Reply-To: <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> X-User-ID: eJwVyMEBwCAIA8CVQAmUcQqS/Uewfd5hu3qHOdxA0DJQrr2zlQ/b40gKz3QXvp7fytq5ClaaEuDKkIklM+8FWT4VnA== Bytes: 1904 Lines: 12 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 Regards, WM