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: WM Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Wed, 11 Sep 2024 21:40:59 +0200 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <035b16b56a204dfe5e561b3cfe03238167dba39a@i2pn2.org> <405557f7289631d63264c712d137244c940b9926@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 11 Sep 2024 21:40:58 +0200 (CEST) Injection-Info: dont-email.me; posting-host="95832d402c4693ddba95c0e6753b25af"; logging-data="3898951"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19sd5MM0cO4z3qfiP9q7ZQ0uu8/Zd4b8Fw=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:UAQHAZsMXOiE3r7JpEvyaRU3Z3I= In-Reply-To: <405557f7289631d63264c712d137244c940b9926@i2pn2.org> Content-Language: en-US Bytes: 2531 On 11.09.2024 19:29, joes wrote: > Am Wed, 11 Sep 2024 16:37:30 +0200 schrieb WM: >> On 11.09.2024 04:09, Richard Damon wrote: >>> On 9/10/24 2:59 PM, WM wrote: >> >>>> Real points can be addressed from every side. >>> But only indexed from an actual end point. >> Every real point is an end point (of its subinterval). > What about open intervals? Open intervals are intervals which have dark endpoints. Note that between any pair of visible real numbers there are many dark real numbers. Regards, WM