Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: JNTP-Route: nemoweb.net JNTP-DataType: Article Subject: Re: Equation complexe References: Newsgroups: sci.math JNTP-HashClient: Do-El-Xt7yo0xVuf6Eqi1GF2BgM JNTP-ThreadID: O5CXkAcAe1D7_dx2s1eq7KbScfI JNTP-ReferenceUserID: 4@nemoweb.net JNTP-Uri: https://www.nemoweb.net/?DataID=MQBY1BOkY36uoWSk5CJ9EJKKkjg@jntp User-Agent: Nemo/1.0 JNTP-OriginServer: nemoweb.net Date: Thu, 27 Feb 25 17:05:54 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (X11; Linux x86_64; rv:109.0) Gecko/20100101 Firefox/115.0 Injection-Info: nemoweb.net; posting-host="a8e4a000a7dcbd83ec53dc0f9e25c8560bce1cbc"; logging-data="2025-02-27T17:05:54Z/9224175"; posting-account="190@nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: Python Bytes: 2422 Lines: 33 Le 27/02/2025 à 16:42, Richard Hachel a écrit : > Le 27/02/2025 à 08:47, joes a écrit : >> Am Wed, 26 Feb 2025 20:22:01 +0000 schrieb Richard Hachel: >>> Le 26/02/2025 à 21:10, efji a écrit : >>> >>>> If you assume i^2 = i*i = -1, then i^4=1. >>> Absolutely not. >> -1*-1 is not 1? > > Claro que si. > > Pero, i*i=i²=-1 ; (i²)²=-1 This is obviously contradictory. (-1)*(-1) IS (i^2)*(i^2) if i^2 = -1. End of Story. > It seems that the imaginary unit i is a special unit such that i^x=-1 whatever > x. > > Mathematicians are right when they say that i=-1, that i^(-1/2)=-1, that i²=-1. In complex numbers it is FALSE that i = -1 and also FALSE that i(-1/2) = -1 (i^(-1/2) = 1/sqrt(i) = 1/sqrt(2) - i/sqrt(2)) (considering principal value only, there is another which is the opposite) Stop making up stuff, you are not only an idiot but also a liar.