{"id":1758,"date":"2017-05-21T23:01:24","date_gmt":"2017-05-21T21:01:24","guid":{"rendered":"http:\/\/www.mathnique.com\/site\/?page_id=1758"},"modified":"2017-12-27T17:42:32","modified_gmt":"2017-12-27T16:42:32","slug":"polynomes","status":"publish","type":"page","link":"https:\/\/www.mathnique.com\/site\/polynomes\/","title":{"rendered":"Polyn\u00f4mes"},"content":{"rendered":"<ul>\n<li><span style=\"color: #ff0000;\"><strong>Fonctions polynomiales \u00e0 coefficients r\u00e9els :<\/strong><\/span>\n<ul>\n<li>Cours personnel et exercices :\u00a0<a href=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/05\/ch06ec1.pdf\">ch06ec1<\/a><br \/>\ndont les classiques :<\/p>\n<ul>\n<li>Polyn\u00f4mes factoriels et Nombres de James Stirling (Math\u00e9maticien \u00e9cossais ) de premi\u00e8re $s_n^k$ et de deuxi\u00e8me esp\u00e8ce $S_n^k$\n<ul>\n<li>Sujet :\u00a0<a href=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/12\/stirling.pdf\">stirling<\/a><\/li>\n<li>Corrig\u00e9 : <a href=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/12\/stirlingcor.pdf\">stirlingcor<\/a><\/li>\n<\/ul>\n<\/li>\n<li>Polyn\u00f4mes de Tchebychev<\/li>\n<li>Polyn\u00f4me d'Interpolation de Lagrange<\/li>\n<li>Polyn\u00f4mes de Legendre $P_n(x) = \\dfrac{d^n}{dx^n}(\\dfrac{(x^2 - 1)^n}{2^n n!})$\n<ul>\n<li>$P_0(x) = 1 \\ ; \\ P_1(x) = x \\ ; \\ P_2(x) = \\dfrac{1}{2}(3 x^2 \u00a0- 1) \\ ; \\ P_3(x) = \\dfrac{1}{2}(5 x^3 \u00a0- 3x)$<\/li>\n<li><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><strong><span style=\"color: #ff0000;\">Polyn\u00f4mes d'endomorphismes<br \/>\n<\/span><\/strong><\/p>\n<ul>\n<li>Polyn\u00f4mes annulateurs, polyn\u00f4me minimal, polyn\u00f4me caract\u00e9ristique<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Fonctions polynomiales \u00e0 coefficients r\u00e9els : Cours personnel et exercices :\u00a0ch06ec1 dont les classiques : Polyn\u00f4mes factoriels et Nombres de James Stirling (Math\u00e9maticien \u00e9cossais ) de premi\u00e8re $s_n^k$ et de deuxi\u00e8me esp\u00e8ce $S_n^k$ Sujet :\u00a0stirling Corrig\u00e9 : stirlingcor Polyn\u00f4mes de Tchebychev Polyn\u00f4me d'Interpolation de Lagrange Polyn\u00f4mes de Legendre $P_n(x) = \\dfrac{d^n}{dx^n}(\\dfrac{(x^2 - 1)^n}{2^n n!})$ $P_0(x) &hellip; <a href=\"https:\/\/www.mathnique.com\/site\/polynomes\/\" class=\"more-link\">Continuer la lecture<span class=\"screen-reader-text\"> de &laquo;&nbsp;Polyn\u00f4mes&nbsp;&raquo;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-1758","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/1758","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/comments?post=1758"}],"version-history":[{"count":7,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/1758\/revisions"}],"predecessor-version":[{"id":2239,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/1758\/revisions\/2239"}],"wp:attachment":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/media?parent=1758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}