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Path: ...!npeer.as286.net!npeer-ng0.as286.net!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <L6BMpB-hddUTlDOq9zDtcxNt6Fk@jntp> JNTP-Route: nemoweb.net JNTP-DataType: Article Subject: Re: Equation complexe References: <oAvE_mEWK82aUJOdwpGna1Rzs1U@jntp> <cd899a53-0106-466f-8e13-a2e8e57ca2ba@att.net> <YEkr142e3Iw10sNTl94yHf-u1kY@jntp> <CBu8wFqdO3Grfl9vm8TrVYMDlas@jntp> Newsgroups: sci.math JNTP-HashClient: 4qdGOGEuLtbUSlVMJa9D-tailv8 JNTP-ThreadID: O5CXkAcAe1D7_dx2s1eq7KbScfI JNTP-ReferenceUserID: 190@nemoweb.net JNTP-Uri: https://www.nemoweb.net/?DataID=L6BMpB-hddUTlDOq9zDtcxNt6Fk@jntp User-Agent: Nemo/1.0 JNTP-OriginServer: nemoweb.net Date: Tue, 25 Feb 25 21:47:14 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/133.0.0.0 Safari/537.36 Injection-Info: nemoweb.net; posting-host="0622b338f00df6c7e122ad5f6ee90645acf995aa"; logging-data="2025-02-25T21:47:14Z/9222054"; posting-account="4@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: Richard Hachel <r.hachel@tiscali.fr> Bytes: 2822 Lines: 31 Le 25/02/2025 à 21:38, Python a écrit : > Le 25/02/2025 à 21:07, Richard Hachel a écrit : >> Le 25/02/2025 à 18:21, Jim Burns a écrit : >> For me, the definition must be extended to all powers of x such that i^x=-1. > > This property is contradictory. Absolutely not. Tu n'as toujours pas compris (comme tu n'as toujours pas compris toutes les équations que j'ai données pour bonifier et rendre plus compréhensible la relativité restreinte). This is not inserting a contradictory property, contradictory properties, in all my special relativity, I have knocked them out. It is the complete opposite of my personality to propose contradictory properties. On the contrary, it is a fantastic basic principle that is affirmed. We extend the property of the imaginary number i to all powers of i. The definition of i is then clearly named, and given. The imaginary number i is a very useful imaginary number to perform many operations and whose definition is the invariance of its nature whatever the power that we give it. i^x=-1 whatever x. We see that i is the antithesis of 1. It then becomes obvious that i^(1/2)=-1 and that i²=-1 as many say. But this is not enough if they believe that i²*i²=1. Here, there is a bias, we use a real operation on an imaginary structure. We must set i²*i²=i^4=-1. This is NOT contradictory. It is an intrinsic part of my (Nazi) ideology. R.H.