{"id":24599,"date":"2023-09-20T08:05:44","date_gmt":"2023-09-20T12:05:44","guid":{"rendered":"http:\/\/aky.pbv.mybluehost.me\/fibonacci-sequence\/"},"modified":"2023-09-28T05:44:15","modified_gmt":"2023-09-28T09:44:15","slug":"sequence-de-fibonacci","status":"publish","type":"post","link":"https:\/\/aky.pbv.mybluehost.me\/fr\/sequence-de-fibonacci\/","title":{"rendered":"La s\u00e9quence de Fibonacci : de la nature aux aper\u00e7us de trading"},"content":{"rendered":"\n<p>La s\u00e9quence de Fibonacci est un sch\u00e9ma math\u00e9matique dans lequel chaque nombre constitue la somme des deux pr\u00e9c\u00e9dents. Elle commence g\u00e9n\u00e9ralement par 0 et 1, puis chaque nombre suivant constitue la somme des deux derniers. Ce sch\u00e9ma se poursuit \u00e0 l\u2019infini. <\/p>\n\n<p>Cet article explore la mystique derri\u00e8re la s\u00e9quence de Fibonacci et son application dans le trading. <\/p>\n\n<div class=\"earn2-ads_pt1_desktop\" id=\"earn2-1695069369\"><div id=\"earn2-1337149807\" style=\"margin-left: auto;margin-right: auto;text-align: center;\"><a href=\"https:\/\/www.earn2trade.com\/trader-career-path?a_pid=E2TLLC&#038;chan=code330&#038;utm_source=Affiliate_track&#038;utm_medium=Top_Banner&#038;utm_campaign=Affiliate_blog&#038;utm_id=TCP_English\" target=\"_blank\" aria-label=\"910x300_earn2trade_ad\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/aky.pbv.mybluehost.me\/wp-content\/uploads\/2020\/04\/910x300-Dark-II_EN.png\" alt=\"910x300_earn2trade_ad\"  srcset=\"https:\/\/aky.pbv.mybluehost.me\/wp-content\/uploads\/2020\/04\/910x300-Dark-II_EN.png 910w, https:\/\/aky.pbv.mybluehost.me\/wp-content\/uploads\/2020\/04\/910x300-Dark-II_EN-300x99.png 300w, https:\/\/aky.pbv.mybluehost.me\/wp-content\/uploads\/2020\/04\/910x300-Dark-II_EN-150x49.png 150w, https:\/\/aky.pbv.mybluehost.me\/wp-content\/uploads\/2020\/04\/910x300-Dark-II_EN-768x253.png 768w, https:\/\/aky.pbv.mybluehost.me\/wp-content\/uploads\/2020\/04\/910x300-Dark-II_EN-770x254.png 770w\" sizes=\"(max-width: 910px) 100vw, 910px\" class=\"no-lazyload\" width=\"910\" height=\"300\"  style=\"display: inline-block;\" \/><\/a><\/div><\/div><h2 class=\"wp-block-heading\" id=\"h-uncovering-the-origin-of-the-fibonacci-sequence\">D\u00e9couvrir l&#8217;origine de la s\u00e9quence de Fibonacci<\/h2>\n\n<p>La s\u00e9quence de Fibonacci remonte au d\u00e9but des 12\u00e8me et 13\u00e8me si\u00e8cles. Elle a \u00e9t\u00e9 introduite dans le monde occidental par L\u00e9onard de Pise, un math\u00e9maticien italien que beaucoup consid\u00e8rent comme le meilleur de son \u00e9poque.<\/p>\n\n<p>En raison de son \u0153uvre la plus c\u00e9l\u00e8bre, la s\u00e9quence de Fibonacci, un historien lui a donn\u00e9, longtemps apr\u00e8s sa mort, le nom de Fibonacci, qui est depuis lors son surnom le plus c\u00e9l\u00e8bre.<\/p>\n\n<p>Bien que cette d\u00e9couverte soit attribu\u00e9e \u00e0 Fibonacci, il y a des raisons de penser qu&#8217;elle pourrait \u00eatre d&#8217;origine indienne.<\/p>\n\n<p>Ce sch\u00e9ma aurait \u00e9t\u00e9 remarqu\u00e9 pour la premi\u00e8re fois par deux math\u00e9maticiens indiens en 200 avant J.-C. et en 700 apr\u00e8s J.-C.<\/p>\n\n<h2 class=\"wp-block-heading\" id=\"h-understanding-the-fibonacci-sequence\">Comprendre la s\u00e9quence de Fibonacci<\/h2>\n\n<p>Fibonacci a d\u00e9couvert cette s\u00e9quence en \u00e9tudiant un probl\u00e8me li\u00e9 \u00e0 la croissance de la population de lapins. Il s&#8217;est av\u00e9r\u00e9 par la suite qu&#8217;il s&#8217;agissait d&#8217;un sch\u00e9ma fondamental dont les applications importantes s&#8217;\u00e9tendent jusqu\u2019aux math\u00e9matiques. <\/p>\n\n<p>Les 14 premiers termes de la s\u00e9quence, tels qu&#8217;ils ont \u00e9t\u00e9 \u00e9crits par Fibonacci, sont :<\/p>\n\n<p><strong>1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377<\/strong><\/p>\n\n<p>Plus tard, le z\u00e9ro a \u00e9t\u00e9 ajout\u00e9 comme nouveau point de d\u00e9part. Chaque nombre consiste en les deux pr\u00e9c\u00e9dents additionn\u00e9s. 1 + 1 = 2, 2 + 1 = 3, 3 + 2 = 5 et ainsi de suite.<\/p>\n\n<p>En utilisant ce sch\u00e9ma, on peut \u00e9tendre la s\u00e9quence au-del\u00e0 des 14 nombres \u00e9num\u00e9r\u00e9s ci-dessus. <\/p>\n\n<p>Si l&#8217;on divise un nombre par le pr\u00e9c\u00e9dent, le r\u00e9sultat sera tr\u00e8s proche du nombre d&#8217;or (connu sous le symbole phi \ud835\udf4b). <\/p>\n\n<p>Par exemple 8\/5=1,6, 13\/8=1,625, 21\/13=1,61538, et 34\/21=1,6190. <\/p>\n\n<p>Comme on peut le constater, chaque nombre se rapproche progressivement de \ud835\udf4b &#8211; 1,61803 (arrondi \u00e0 cinq chiffres). On peut le calculer comme \ud835\udf4b = (1+\u221a5)\/2.<\/p>\n\n<p>En faisant des carr\u00e9s de longueur \u00e9gale aux nombres du sch\u00e9ma, on obtient la spirale d&#8217;or, comme on le voit ici :<\/p>\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/YOLRH0P-3gVodiWIIV2X6UvZQ1MIXCP4z7iSfrTpuPbX0o4uGDjof5F2B3M9iQ3Afs-R7mq61TAIQujoOKFOCdowcbEzn2SEpv28KiFYzNPz5wNcV5r_bBufsiH3eC_tMWyrJbEksOS1N__XGoF_1-4\" alt=\"La spirale dor&#xE9;e\" loading=\"lazy\" \/><\/figure>\n\n<p><\/p>\n\n<p>Dans son livre <a href=\"https:\/\/fibonacci.com\/liber-abaci\/\" target=\"_blank\" rel=\"noreferrer noopener\"><em>Liber Abaci<\/em><\/a>, Fibonacci l&#8217;a d\u00e9montr\u00e9 en mesurant la croissance de la population de lapins dans des conditions parfaites. <\/p>\n\n<p>Cependant, ce ph\u00e9nom\u00e8ne est \u00e9galement \u00e9vident dans d&#8217;autres aspects de la nature. Les branches d&#8217;un arbre, les pommes de pin, les fleurs, les coquillages, les galaxies en spirale, les ouragans et m\u00eame l&#8217;ADN pr\u00e9sentent des motifs du nombre d&#8217;or. Certains affirment que L\u00e9onard de Vinci et d&#8217;autres artistes c\u00e9l\u00e8bres l&#8217;ont inclus dans leurs \u0153uvres.<\/p>\n\n<p>Ce concept a trouv\u00e9 une repr\u00e9sentation saisissante dans le film <a href=\"https:\/\/www.imdb.com\/title\/tt0138704\/\" target=\"_blank\" rel=\"noreferrer noopener\">PI<\/a>, une exploration cin\u00e9matographique des math\u00e9matiques et de l&#8217;analyse des march\u00e9s. Il s&#8217;agit du premier film du c\u00e9l\u00e8bre r\u00e9alisateur Darren Aronofsky. Sorti en 1998, PI raconte l&#8217;histoire de plusieurs th\u00e9oriciens qui parviennent \u00e0 une compr\u00e9hension profonde du nombre d&#8217;or, avec des implications pour la finance et la religion. <\/p>\n\n<h2 class=\"wp-block-heading\" id=\"h-the-fibonacci-sequence-in-trading\">La s\u00e9quence de Fibonacci dans le trading<\/h2>\n\n<p>Les le\u00e7ons d&#8217;Earn2Trade mettent l&#8217;accent sur la s\u00e9quence de Fibonacci et son application dans le trading. <\/p>\n\n<p>L&#8217;exemple le plus notable est le sch\u00e9ma du <a href=\"https:\/\/www.earn2trade.com\/blog\/fibonacci-retracement\/\" target=\"_blank\" rel=\"noreferrer noopener\">retracement de Fibonacci<\/a>, un indicateur technique de trading qui ajoute des lignes horizontales \u00e0 un graphique pour indiquer des niveaux de support et de r\u00e9sistance notables (par exemple, le niveau de 61,8 %).<\/p>\n\n<p>La s\u00e9quence de Fibonacci est utilis\u00e9e dans le trading par le biais de la technique d&#8217;analyse de Fibonacci. Elle aide les traders \u00e0 identifier les niveaux de support et de r\u00e9sistance potentiels et \u00e0 pr\u00e9dire les retracements et les extensions de prix. <\/p>\n\n<p>L&#8217;int\u00e9gration de la s\u00e9quence de Fibonacci dans le trading n\u00e9cessite une compr\u00e9hension approfondie des principes, une pratique r\u00e9guli\u00e8re et l&#8217;incorporation d&#8217;une strat\u00e9gie de trading compl\u00e8te.<\/p>\n\n<p>Bien que cette analyse puisse fournir des informations pr\u00e9cieuses, elle devrait s&#8217;inscrire dans une approche globale tenant compte de la gestion des risques et d&#8217;autres facteurs influen\u00e7ant le march\u00e9. <\/p>\n\n<h2 class=\"wp-block-heading\" id=\"h-conclusion\">Conclusion<\/h2>\n\n<p>La s\u00e9quence de Fibonacci est un sch\u00e9ma math\u00e9matique simple qui comble le foss\u00e9 entre le monde naturel et les connaissances de trading. Les traders peuvent appliquer l&#8217;analyse de Fibonacci pour pr\u00e9dire les fluctuations de prix et identifier les niveaux cl\u00e9s.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fibonacci Sequence<\/p>\n","protected":false},"author":36,"featured_media":24601,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[12549,12387],"tags":[12461],"class_list":["post-24599","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-analyse-technique","category-anecdotes","tag-fibonacci-fr"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>La s\u00e9quence de Fibonacci : de la nature aux aper\u00e7us de trading<\/title>\n<meta name=\"description\" content=\"Plongez dans les sp\u00e9cificit\u00e9s de la s\u00e9quence de Fibonacci, de 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