Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder2.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? (infinitary) Date: Thu, 31 Oct 2024 16:38:04 +0100 Organization: A noiseless patient Spider Lines: 9 Message-ID: References: <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <0e5fb47d-60f7-42bb-beec-4a9661c807da@tha.de> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 31 Oct 2024 16:38:03 +0100 (CET) Injection-Info: dont-email.me; posting-host="b0fc6e4b59726e9ff37406b62d1d1e99"; logging-data="2882808"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+fCHm6ojT8WEYgy3AJoUyls/xVXw24IJk=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:MpO2k1FvuDQVRm7DfSDezyBxgFQ= Content-Language: en-US In-Reply-To: Bytes: 2257 On 31.10.2024 12:00, FromTheRafters wrote: > Failure to recognize that discontinuity is mathematical noted. False. NUF(x) can only increase at unit fractions. They cause no larger discontinuity than 1. Regards, WM