Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <1nD9_GTX1VvEFvIl0xaGoNf3jOA@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: There is a first/smallest integer (in =?UTF-8?Q?M=C3=BCckenland=29?= References: <41d2e5d4-8cb6-4edb-ae2c-77c0b64a6831@att.net> Newsgroups: sci.math JNTP-HashClient: deo_60PonToJ_rRziOc3bEH53Hs JNTP-ThreadID: v78aei$1qhrg$2@dont-email.me JNTP-Uri: http://news2.nemoweb.net/?DataID=1nD9_GTX1VvEFvIl0xaGoNf3jOA@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Thu, 18 Jul 24 13:34:04 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-07-18T13:34:04Z/8953712"; posting-account="217@news2.nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: WM Bytes: 2057 Lines: 18 Le 18/07/2024 à 07:52, Moebius a écrit : > Am 18.07.2024 um 06:30 schrieb Jim Burns: >> On 7/17/2024 1:49 PM, WM wrote: >>> Le 17/07/2024 à 19:13, FromTheRafters a écrit : >> >>>> Sure, >>>> it jumps because of your stepwise function. >>> >>> Of course it jumps, >>> but what is the maximum size of a jump? >> >> |ℝ| is the maximum size of a jump. > > Nope. |IN| is "the maximum size of a jump", namely "the size" of the > jump "at" 0. (Hint: NUF has only one jump, namely "at" 0.) At 0 there are no unit fractions. Therefore you are wrong. Regards, WM