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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Wed, 30 Oct 2024 00:28:17 -0700 Organization: A noiseless patient Spider Lines: 29 Message-ID: <vfsn6h$207gj$7@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vfsmqr$207gj$6@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 30 Oct 2024 08:28:18 +0100 (CET) Injection-Info: dont-email.me; posting-host="455c24f95a17f59c8fbd0a2a00f2944a"; logging-data="2104851"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19ZeBKeR55DSd+b0miiSVOY9YNEmmRxnKY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:/ilg4V8UyXmEQSfMst67U1SmsOY= In-Reply-To: <vfsmqr$207gj$6@dont-email.me> Content-Language: en-US Bytes: 2110 On 10/30/2024 12:22 AM, Chris M. Thomasson wrote: > On 9/2/2024 10:07 AM, WM wrote: >> How many different unit fractions are lessorequal than all unit >> fractions? The correct answer is: one unit fraction. If you claim more >> than one (two or three or infintely many), then these more must be >> equal. But different unit fractions are different and not equal to >> each other. >> >> Another answer is that no unit fraction is lessorequal than all unit >> fractions. That means the function NUF(x) >> Number of UnitFractions between 0 and x > 0 >> with NUF(0) = 0 will never increase but stay at 0. There are no unit >> fractions existing at all. >> >> Therefore there is only the one correct answer given above. >> >> Regards, WM >> > > You dark numbers need to flow: > > https://youtu.be/fy8kMOqT49M?list=RDGMEMHDXYb1_DDSgDsobPsOFxpA > > lol. Where the heck are they anyway? Ahhh, I forgot. Dark. > > This might be the last time I respond to you WM. It's wearing a little > thin. AP is better.