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Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius <invalid@example.invalid> Newsgroups: sci.math Subject: =?UTF-8?Q?Re=3A_There_is_a_first/smallest_integer_=28in_M=C3=BCcken?= =?UTF-8?Q?land=29?= Date: Thu, 18 Jul 2024 00:46:15 +0200 Organization: A noiseless patient Spider Lines: 13 Message-ID: <v79hjn$21t8h$1@dont-email.me> References: <v78aei$1qhrg$2@dont-email.me> <iez0JhnP5QUwPTJ47oubeE1Aq5M@jntp> <v78m28$1sk3g$1@dont-email.me> <7mXj2D8kEhAscu3HLTqTUKsaj18@jntp> <d9b0dacd61b979099d931df69cf76c214d690d39@i2pn2.org> <v797a1$1vn4s$5@dont-email.me> <Y6qrg9UEy_5tuojJ3_6x9Hx6bDE@jntp> <v79c9f$20dvt$6@dont-email.me> <KTsnjdEN7Mca14ysonQd0bhO2SM@jntp> <v79djc$20dvt$9@dont-email.me> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 18 Jul 2024 00:46:15 +0200 (CEST) Injection-Info: dont-email.me; posting-host="81dea532a4e3121d1d5500e0d726c164"; logging-data="2159889"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18wuqF3tbQa+MIT0+bLRHHc" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:LBdDbK0SvFn/aKVQ9LyXoatVjIg= Content-Language: de-DE In-Reply-To: <v79djc$20dvt$9@dont-email.me> Bytes: 1846 Am 17.07.2024 um 23:37 schrieb Chris M. Thomasson: > There is ALWAYS a gap between ANY unit fraction and zero. This is > because any unit fraction does not equal zero. Indeed! Moreover, between any unit fractions an zero lies another unit fraction. If u is a unit fraction, then u' = 1/(1/u + 1) is a unit fraction such that 0 < u' < u. Except in Mückenland (i.e. the ward in Mückenhausen) of course.