{"id":551,"date":"2015-05-18T15:48:21","date_gmt":"2015-05-18T14:48:21","guid":{"rendered":"http:\/\/lig-membres.imag.fr\/denisb\/?p=551"},"modified":"2016-02-04T15:11:24","modified_gmt":"2016-02-04T14:11:24","slug":"aiii","status":"publish","type":"post","link":"https:\/\/lig-membres.imag.fr\/denisb\/aiii\/","title":{"rendered":"[:fr]Aiii ![:]"},"content":{"rendered":"

[:fr]<\/p>\n

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C’est pas pour d\u00e9noncer les copains, mais sur la TI-82 stats.fr, ils utilisent un algorithmes pour calculer les puissances de i qui n’est pas tout \u00e0 fait au point. En principe, comme i2<\/sup> = -1, on devrait avoir i3<\/sup> = -i, i4<\/sup>=1 et on recommence i5<\/sup>=i, i6<\/sup>=-1, i7<\/sup>=-i, i8<\/sup>=1, c’est cyclique …<\/p>\n

Malheureusement, on a plut\u00f4t :<\/p>\n

    \n
  • i2<\/sup> = -1 (jusqu’ici tout va bien),<\/li>\n
  • i3<\/sup> = -i (jusqu’ici tout va bien),<\/li>\n
  • i4<\/sup>=1 (jusqu’ici tout va bien),<\/li>\n
  • i5<\/sup>=i (jusqu’ici tout va bien),<\/li>\n
  • i6<\/sup>=-1 (jusqu’ici tout va bien),<\/li>\n
  • i7<\/sup>=-3 10-13<\/sup>-i (Aiii ! ce devrait \u00eatre juste -i, un imaginaire pur) ,<\/li>\n
  • i8<\/sup>=1-2 10-13<\/sup>i (Aiii ! ce devrait \u00eatre juste 1, un r\u00e9el pur),<\/li>\n
  • et ainsi de suite (sauf par chance un calcul, de temps en temps qui tombe juste, ex. : i10<\/sup>=-1) …<\/li>\n<\/ul>\n

    (maudit calcul scientifique ! il semble qu’il y ait eut le m\u00eame probl\u00e8me autrefois avec matLab ou sciLab (?))<\/p>\n

     <\/p>\n

    rem. avec les puissances de (1+i), cela donne le m\u00eame genre de r\u00e9sultat, ex. : (1+i)14<\/sup>=-3.84 10-11<\/sup>-128i (au lieu de -128i seulement)<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

    [:]<\/p>\n","protected":false},"excerpt":{"rendered":"

    [:fr] C’est pas pour d\u00e9noncer les copains, mais sur la TI-82 stats.fr, ils utilisent un algorithmes pour calculer les puissances […]<\/p>\n","protected":false},"author":42,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[186,42,22,117,54],"tags":[],"class_list":["post-551","post","type-post","status-publish","format-standard","hentry","category-186","category-breve","category-representation-binaire-de-linformation","category-representation-de-linformation","category-txt"],"_links":{"self":[{"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/posts\/551","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/users\/42"}],"replies":[{"embeddable":true,"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/comments?post=551"}],"version-history":[{"count":2,"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/posts\/551\/revisions"}],"predecessor-version":[{"id":556,"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/posts\/551\/revisions\/556"}],"wp:attachment":[{"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/media?parent=551"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/categories?post=551"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lig-membres.imag.fr\/denisb\/wp-json\/wp\/v2\/tags?post=551"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}