{"id":177,"date":"2008-06-21T12:00:49","date_gmt":"2008-06-21T10:00:49","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/definir-un-parametre-avec-xcas-element-ou-assume\/"},"modified":"2023-10-14T20:14:10","modified_gmt":"2023-10-14T18:14:10","slug":"definir-un-parametre-avec-xcas-element-ou-assume","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/geometrie-avec-xcas\/definir-un-parametre-avec-xcas-element-ou-assume\/","title":{"rendered":"D\u00e9finir un param\u00e8tre avec Xcas : element() ou assume() ?"},"content":{"rendered":"<p><math>\nDeux fonctions permettent de d\u00e9finir un param\u00e8tre avec Xcas :\n&#8211; <strong>element()<\/strong>\n&#8211; <strong>assume ()<\/strong><\/p>\n<p>La premi\u00e8re permet de choisir un nombre dans un intervalle. Lorsque celui-ci est utilis\u00e9, il est remplac\u00e9 par la valeur courante du param\u00e8tre : on ne peut donc pas faire de calcul formel autour de ce param\u00e8tre.<\/p>\n<p>La seconde donnera elle la possibilit\u00e9 de faire ce calcul formel.<\/p>\n<h2>Un exemple<\/h2>\n<hr \/>\n<p>Je cherche l&rsquo;expression de la longueur $AB$ telle que $A(0~;~0)$ et $B(t~;~t)$, $t$ variant entre $0$ et $1$.<\/p>\n<h2>En utilisant  element()<\/h2>\n<hr \/>\n<p>On d\u00e9finit le param\u00e8tre $t$ avec comme valeur initiale $0.3$ :<\/p>\n<p><font color = red>\n<code>\nt := element(0..1,0.3,0.01);\n<\/code>\n<\/font color><\/p>\n<p>On d\u00e9finit les points $A$ et $B$ :<\/p>\n<p><font color = red>\n<code>\nA:=point(0,0);\nB:=point(t,t);\n<\/code>\n<\/font color><\/p>\n<p>On calcule la longueur $AB$ :<\/p>\n<p><font color = red>\n<code>\nf:=normal(longueur(A,B))\n<\/code>\n<\/font color><\/p>\n<p>$$0.424264$$<\/p>\n<p>Le r\u00e9sultat correspond \u00e0 la longueur en rempla\u00e7ant $t$ par sa valeur courante $0.3$.<\/p>\n<h2>En utilisant  assume()<\/h2>\n<hr \/>\n<p>On d\u00e9finit le param\u00e8tre $t$ avec comme valeur initiale $0.3$ :<\/p>\n<p><font color = red>\n<code>\nassume(t=[0.3,0,1,0.01])\n<\/code>\n<\/font color><\/p>\n<p>On d\u00e9finit les points $A$ et $B$ :<\/p>\n<p><font color = red>\n<code>\nA:=point(0,0);\nB:=point(t,t);\n<\/code>\n<\/font color><\/p>\n<p>On calcule la longueur $AB$ :<\/p>\n<p><font color = red>\n<code>\nf:=normal(longueur(A,B))\n<\/code>\n<\/font color><\/p>\n<p>$$\\sqrt<em>2<\/em>t$$<\/p>\n<p>On obtient une expression de la variable $t$.<\/p>\n<h2>Comment passer de l&rsquo;un \u00e0 l&rsquo;autre<\/h2>\n<hr \/>\n<p>Il suffit de cliquer sur la valeur du param\u00e8tre avec le bouton droit de la souris pour voir appara\u00eetre ses propri\u00e9t\u00e9s : en cochant ou non la case \u00ab\u00a0symb\u00a0\u00bb, on passera de l&rsquo;un \u00e0 l&rsquo;autre.<\/p>\n<p><\/math><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Deux fonctions permettent de d\u00e9finir un param\u00e8tre avec Xcas : &#8211; element() &#8211; assume () La premi\u00e8re permet de choisir un nombre dans un intervalle. Lorsque celui-ci est utilis\u00e9, il&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2230,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-177","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>D\u00e9finir un param\u00e8tre avec Xcas : element() ou assume() ? - Maths &amp; Num\u00e9rique<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/geometrie-avec-xcas\/definir-un-parametre-avec-xcas-element-ou-assume\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"D\u00e9finir un param\u00e8tre avec Xcas : element() ou assume() ? - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Deux fonctions permettent de d\u00e9finir un param\u00e8tre avec Xcas : &#8211; element() &#8211; assume () La premi\u00e8re permet de choisir un nombre dans un intervalle. 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