Warning: mysqli::__construct(): (HY000/1203): User howardkn already has more than 'max_user_connections' active connections in D:\Inetpub\vhosts\howardknight.net\al.howardknight.net\includes\artfuncs.php on line 21
Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: Does the number of nines increase? Date: Tue, 16 Jul 2024 03:57:42 +0200 Organization: A noiseless patient Spider Lines: 61 Message-ID: References: <79JoZp5bHCH4hf4J9cxbLGeMvPE@jntp> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 16 Jul 2024 03:57:43 +0200 (CEST) Injection-Info: dont-email.me; posting-host="f7b47e05a7b4f9518fb2a2693f1d498d"; logging-data="1005070"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19BjCoakIGyJcsAv7EkFycc" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:mp17XvVcpnGOxPxMDqoEl7UNULg= In-Reply-To: Content-Language: de-DE Bytes: 2875 Am 16.07.2024 um 03:49 schrieb Chris M. Thomasson: > On 7/15/2024 6:47 PM, Moebius wrote: >> Am 16.07.2024 um 03:32 schrieb Chris M. Thomasson: >> >>> going left to right, so to speak, [...] >>> >>> 1/1, 1/2, 1/3, 1/4, ... >> >> Nope, here you are going "from right to left" (on the real line). >> >> You see, 1/1 is larger than, say, 1/2, hence on "the real line" 1/1 is >> RIGHT from 1/2. No? >> >> Hint: >> >> ... | ... | ... | ... (real line) >> >>      0    1/2   1/1 (=1) >> >>> Huh? WM is backwards? >> >> Actually, not. :-) >> > Actually, my real line is, say > > ...-1...0...+1... Seems poor. :-P Let's fill in some unit fractions (at least 1/2). :-) ....| ... | ... | ... | ... (real line) -1 0 1/2 1/1 (=1) > So, left to right with origin at zero [...] the natural numbers, starting at zero the > origin of the real line: > > 0, 1, 2, 3, 4, ... Right. But ALL unit fractions are between 0 and 1 (incl.). :-) > 0 is at origin point on my real line, the x axis so to speak. It has an > origin at 0. Fair enough? Sure. Why do you ask? :-P > Left of zero, or origin if you will, is negative, right of zero is > positive... Yeah. And between 0 and 1 (=1/1) there are the unit fractions 1/2, 1/3, ...: 0 < ... < 1/3 < 1/2 < 1/1 . See? :-P