{"id":90,"date":"2007-06-23T20:23:00","date_gmt":"2007-06-23T18:23:00","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/un-arbre-de-bernoulli-a-2-niveaux\/"},"modified":"2023-10-14T20:12:52","modified_gmt":"2023-10-14T18:12:52","slug":"un-arbre-de-bernoulli-a-2-niveaux","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/arbres-de-probabilite\/un-arbre-de-bernoulli-a-2-niveaux\/","title":{"rendered":"Un arbre de Bernoulli \u00e0 2 niveaux"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-595\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/06\/jpg_bernoulli2.jpg\" alt=\"bernoulli2.jpg\" width=\"234\" height=\"212\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">input geometriesyr16.mp ;\n\n\n%%%%%%%%%%%%%%%%%%\n%%\n%%Ne pas oublier : export TEX=latex\n%%\n%%%%%%%%%%%%%%%%%\n\nvardef TEX primary s =\n  write \"verbatimtex\"   to \"mptextmp.mp\";\n  write \"%&amp;latex\" to  \"mptextmp.mp\";\n  write \"\\documentclass{article}\"  to \"mptextmp.mp\";\n  write \"\\usepackage{aeguill}\" to \"mptextmp.mp\";\n  write \"\\usepackage[frenchb]{babel}\" to \"mptextmp.mp\";\n  write \"\\usepackage{amsmath}\" to \"mptextmp.mp\";\n  write \"\\usepackage{amsfonts}\" to \"mptextmp.mp\";\n  write \"\\begin{document}\"  to \"mptextmp.mp\";\n  write \"etex\"    to \"mptextmp.mp\";\n  write \"btex \" &amp; s &amp; \" etex\" to \"mptextmp.mp\";\n  write EOF to \"mptextmp.mp\";\n  scantokens \"input mptextmp\"\nenddef;\n\n%------------------------------------------------------------------------\n% Arbre de Bernoulli \u00e0 deux niveaux\n%------------------------------------------------------------------------\n\n\nu:=1cm;\nfigure (-8u,-8u,10u,8u);\npair S,T[],U[];\n\nnumeric dx,dh,cr;\ndx:=3;\ndh:=1.5;\ncr:=0.1;\n\nfor i:=1 upto 4:\n  U[i]:=(2*dx*u,-i*dh*u);\nendfor\n\nT[1]:= 0.5[U[1],U[2]] shifted(-dx*u,0);\nT[2]:= 0.5[U[3],U[4]] shifted(-dx*u,0);\n\nS:= 0.5[T[1],T[2]] shifted(-dx*u,0);\n\ndraw cr[S,T[1]]--(1-cr)[S,T[1]];\ndraw cr[S,T[2]]--(1-cr)[S,T[2]];\ndraw cr[T[1],U[1]]--(1-cr)[T[1],U[1]];\ndraw cr[T[1],U[2]]--(1-cr)[T[1],U[2]];\ndraw cr[T[2],U[3]]--(1-cr)[T[2],U[3]];\ndraw cr[T[2],U[4]]--(1-cr)[T[2],U[4]];\n\n\nstring a,na,pa,pna;\na:=\"$A$\";\nna:=\"$\\overline{A}$\";\npa:=\"$\\frac{1}{3}$\";\npna:=\"$\\frac{2}{3}$\";\n\n%----------- premier niveau\nlabel(TEX a,T[1]);\nlabel.ulft(TEX pa,0.6[S,T[1]]);\n\nlabel(TEX na,T[2]);\nlabel.llft(TEX pna,0.6[S,T[2]]);\n\n%----------- deuxi\u00e8me niveau sup\u00e9rieur\nlabel(TEX a,U[1]);\nlabel.ulft(TEX pa,0.6[T[1],U[1]]);\n\nlabel(TEX na,U[2]);\nlabel.llft(TEX pna,0.6[T[1],U[2]]);\n\n%----------- deuxi\u00e8me niveau inf\u00e9rieur\nlabel(TEX a,U[3]);\nlabel.ulft(TEX pa,0.6[T[2],U[3]]);\n\nlabel(TEX na,U[4]);\nlabel.llft(TEX pna,0.6[T[2],U[4]]);\n\n\nfin;\n%-----------------------------------------------------------------------\n\n\n%-----------------------------------------------------------------------\nend ;<\/pre>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\"><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Voici son code : input geometriesyr16.mp ; %%%%%%%%%%%%%%%%%% %% %%Ne pas oublier : export TEX=latex %% %%%%%%%%%%%%%%%%% vardef TEX primary s = write \u00ab\u00a0verbatimtex\u00a0\u00bb to \u00ab\u00a0mptextmp.mp\u00a0\u00bb; write \u00ab\u00a0%&amp;latex\u00a0\u00bb to \u00ab\u00a0mptextmp.mp\u00a0\u00bb;&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2410,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-90","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>Un arbre de Bernoulli \u00e0 2 niveaux - 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\/edition-mathematique\/metapost\/arbres-de-probabilite\/un-arbre-de-bernoulli-a-2-niveaux\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Un arbre de Bernoulli \u00e0 2 niveaux - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Voici son code : input geometriesyr16.mp ; %%%%%%%%%%%%%%%% %%%%%%%%%%%%% vardef TEX primary s = write &quot;verbatimtex&quot; to &quot;mptextmp.mp&quot;; write &quot;%&amp;latex&quot; to &quot;mptextmp.mp&quot;;&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/arbres-de-probabilite\/un-arbre-de-bernoulli-a-2-niveaux\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:12:52+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/06\/jpg_bernoulli2.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/arbres-de-probabilite\/un-arbre-de-bernoulli-a-2-niveaux\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/arbres-de-probabilite\/un-arbre-de-bernoulli-a-2-niveaux\/\",\"name\":\"Un arbre de Bernoulli \u00e0 2 niveaux - Maths &amp; 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