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: ...!news.tomockey.net!news.samoylyk.net!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: efji Newsgroups: sci.math Subject: Re: How? ? ? Date: Wed, 2 Apr 2025 22:11:17 +0200 Organization: A noiseless patient Spider Lines: 35 Message-ID: References: <8ayY53o1aL2fUNz0m8yFYT0IDlI@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 02 Apr 2025 22:11:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="ce37c74cd24be704211621879d9d2d7e"; logging-data="2836960"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Ghx3ES2pUV8KV9OiYatP1" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:qAWmbHFIAYwCsFko5WiyP3TJ1l8= In-Reply-To: Content-Language: fr, en-US Bytes: 2105 Le 02/04/2025 à 21:53, Chris M. Thomasson a écrit : > On 4/2/2025 5:49 AM, efji wrote: >> Le 02/04/2025 à 14:32, Richard Hachel a écrit : >>> How can mathematicians come up with such absurdities? >>> >>> https://www.youtube.com/watch?v=XZriBHTNPw0 >>> >> >> No mathematician would write \sqrt{i} because the symbol "\sqrt" >> designs the positive square root of a real number, which does not make >> sense in \C since it is not an ordered set and the word "positive" is >> a nonsense in \C. >> >> Anyway, "i" has 2 square roots : ±(1+i)/\sqrt{2} >> and "-i" too : ±(1-i)/\sqrt{2} >> Thus, the mathematically wrong expression "\sqrt{i}+\sqrt{-i}" is non >> univoque and could be any of these 4 values : >> >> ±\sqrt{2}, ±i\sqrt{2} >> >> You're welcome >> > > sqrt(0+1i) has two roots: > > [0] = sqrt(0+1i) > [1] = -sqrt(0+1i) > > any of them raised to the the 2'nd power equals 0+1i. wow, the dumb Hachel has got a dumb cousin :) -- F.J.