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: ...!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: comp.lang.c Subject: Re: More complex numbers than reals? Date: Mon, 8 Jul 2024 22:20:27 -0700 Organization: A noiseless patient Spider Lines: 34 Message-ID: References: <20240708192054.569@kylheku.com> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 09 Jul 2024 07:20:29 +0200 (CEST) Injection-Info: dont-email.me; posting-host="ce358e0d0d9664a700ff455d87f9b3cd"; logging-data="1340192"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18a/cvdd610Og3cakaY2gUHb2fecd6fjIU=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:YxSALxxY7SkwPXRzGjAO0EWuUao= In-Reply-To: <20240708192054.569@kylheku.com> Content-Language: en-US Bytes: 2554 On 7/8/2024 7:25 PM, Kaz Kylheku wrote: > On 2024-07-08, Chris M. Thomasson wrote: >> Are there "more" complex numbers than reals? It seems so, every real has >> its y, or imaginary, component set to zero. Therefore for each real >> there is an infinity of infinite embedding's for it wrt any real with a >> non-zero y axis? Fair enough, or really dumb? A little stupid? What do >> you think? > > The argument is not that simple. If we restrict to just integer complex > numbers like 4 + 5i, then no; there aren't more of these than integers. > Yet the same argument about axes and embeddings could be wrongly applied. > > Integer complex numbers are countable: you can start at 0, and then go > in a spiral fashion: 1, 1 + i, i, -1 + i -1, ... thus they can be put > into correspondendce with the natural numbers. > This was meant for sci.math... ARHG!!!! Well, shit. Sorry... Hummm... its fun to think about complex as vectors wrt addition, subtraction, but multiplication is different, division, ect... Actually, here is some of my c++ code that might be relevant here wrt precision of complex numbers.... float, double, ect... https://groups.google.com/g/comp.lang.c++/c/05XwgswUnDg/m/Wku2Oym_BQAJ https://groups.google.com/g/comp.lang.c++/c/05XwgswUnDg/m/s_RNcUHCBQAJ More info where complex numbers and their precision is important: https://paulbourke.org/fractals/multijulia/ (read all!) :^)