{"id":50,"date":"2023-12-03T21:39:40","date_gmt":"2023-12-03T20:39:40","guid":{"rendered":"https:\/\/mohamed.legtux.org\/mp\/?p=50"},"modified":"2023-12-08T23:54:54","modified_gmt":"2023-12-08T22:54:54","slug":"une-preuve-par-le-procede-diagonal-de-cantor-de-r-non-denombrable","status":"publish","type":"post","link":"https:\/\/mohamed.legtux.org\/mp\/2023\/12\/03\/une-preuve-par-le-procede-diagonal-de-cantor-de-r-non-denombrable\/","title":{"rendered":"Une preuve par le proc\u00e9d\u00e9 diagonal de Cantor de <img src=\"https:\/\/mohamed.legtux.org\/mp\/wp-content\/ql-cache\/quicklatex.com-9d00cb733dda132f8f54313986afadc5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#82;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> non d\u00e9nombrable"},"content":{"rendered":"\n<p>Voici un brouillon pour la preuve du r\u00e9sultat <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mohamed.legtux.org\/mp\/wp-content\/ql-cache\/quicklatex.com-9d00cb733dda132f8f54313986afadc5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#82;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> est non d\u00e9nombrable, utilisant le <strong>proc\u00e9d\u00e9 de la diagonale de Cantor<\/strong>: Le probl\u00e8me se ram\u00e8ne \u00e0 prouver que l&rsquo;intervalle <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mohamed.legtux.org\/mp\/wp-content\/ql-cache\/quicklatex.com-a8d66cf4b444916a2b51ddf1a3dc39a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#91;&#48;&#44;&#49;&#91;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"34\" style=\"vertical-align: -5px;\"\/> est non d\u00e9nombrable en utilisant le d\u00e9veloppement propre dans le syst\u00e8me d\u00e9cimal d&rsquo;un nombre r\u00e9el.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"763\" height=\"1024\" src=\"https:\/\/mohamed.legtux.org\/mp\/wp-content\/uploads\/2023\/12\/image-15.png\" alt=\"L\u2019attribut alt de cette image est vide, son nom de fichier est image-7-763x1024.png.\" class=\"wp-image-245\" srcset=\"https:\/\/mohamed.legtux.org\/mp\/wp-content\/uploads\/2023\/12\/image-15.png 763w, https:\/\/mohamed.legtux.org\/mp\/wp-content\/uploads\/2023\/12\/image-15-224x300.png 224w\" sizes=\"auto, (max-width: 763px) 100vw, 763px\" \/><\/figure>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Voici un brouillon pour la preuve du r\u00e9sultat est non d\u00e9nombrable, utilisant le proc\u00e9d\u00e9 de la diagonale de Cantor: Le probl\u00e8me se ram\u00e8ne \u00e0 prouver que l&rsquo;intervalle est non d\u00e9nombrable en utilisant le d\u00e9veloppement propre dans le syst\u00e8me d\u00e9cimal d&rsquo;un nombre r\u00e9el.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-50","post","type-post","status-publish","format-standard","hentry","category-mes-brouillons"],"_links":{"self":[{"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/posts\/50","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/comments?post=50"}],"version-history":[{"count":3,"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/posts\/50\/revisions"}],"predecessor-version":[{"id":246,"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/posts\/50\/revisions\/246"}],"wp:attachment":[{"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/media?parent=50"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/categories?post=50"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mohamed.legtux.org\/mp\/wp-json\/wp\/v2\/tags?post=50"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}