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Path: ...!weretis.net!feeder6.news.weretis.net!feeder8.news.weretis.net!news.mixmin.net!aioe.org!wWi+bf82x/J4IG13ZEtRgw.user.46.165.242.75.POSTED!not-for-mail From: Samuel DEVULDER <samuel_dot_devulder@laposte_dot_net.invalid> Newsgroups: fr.sci.maths Subject: Re: Puissance complexe Date: Mon, 20 Dec 2021 23:52:12 +0100 Organization: Aioe.org NNTP Server Message-ID: <spr1er$12j6$1@gioia.aioe.org> References: <HwTeGQkWMXTC_jEOcdWNdVgHJYM@jntp> <spq5vc$uhg$1@gioia.aioe.org> <qd1tbnucuhjgUXkBy0KU9VmVkrk@jntp> <spqpha$1i91$1@gioia.aioe.org> <ATqXGH-nd7_9cGasm6zwZzATO_I@jntp> Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Info: gioia.aioe.org; logging-data="35430"; posting-host="wWi+bf82x/J4IG13ZEtRgw.user.gioia.aioe.org"; mail-complaints-to="abuse@aioe.org"; User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:91.0) Gecko/20100101 Thunderbird/91.4.0 X-Notice: Filtered by postfilter v. 0.9.2 X-Antivirus: Avast (VPS 211220-4, 20/12/2021), Outbound message X-Antivirus-Status: Clean Content-Language: fr Bytes: 1529 Lines: 7 Le 20/12/2021 à 23:01, Julien Arlandis a écrit : > sqrt(-1) = exp(i*(k+1/2)*pi) = {i, -i} [1] > -sqrt(-1) = -exp(i*(k+1/2)*pi) = {-i, i} > Et donc doit on en conclure que sqrt(-1) = -sqrt(-1) ? En tant que fonction multivaluée je dirais que oui (même ensemble de valeurs produites en sorties.)